%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP181^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 08:08:42 AM UTC 2026
% Result : Theorem 2.43s 0.73s
% Output : Refutation 2.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 31 ( 25 unt; 0 typ; 0 def)
% Number of atoms : 115 ( 46 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 194 ( 21 ~; 4 |; 0 &; 139 @)
% ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Number of types : 36 ( 35 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 158 ( 154 usr; 14 con; 0-5 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 56 ( 29 ^; 27 !; 0 ?; 56 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1217648014ion_pi: $tType ).
thf(type_def_6,type,
produc1961110975reeRes: $tType ).
thf(type_def_7,type,
set_Pr100209225_pi_pi: $tType ).
thf(type_def_8,type,
produc1443308494i_name: $tType ).
thf(type_def_9,type,
produc1559976732_pi_pi: $tType ).
thf(type_def_10,type,
produc53907987_pi_pi: $tType ).
thf(type_def_11,type,
set_Pr1569510577ion_pi: $tType ).
thf(type_def_12,type,
produc1462499409ion_pi: $tType ).
thf(type_def_13,type,
set_Pr305743074reeRes: $tType ).
thf(type_def_14,type,
noptio1575811931_pi_pi: $tType ).
thf(type_def_15,type,
set_Pr1294453099i_name: $tType ).
thf(type_def_16,type,
produc1834551554reeRes: $tType ).
thf(type_def_17,type,
set_Pr1694908217_pi_pi: $tType ).
thf(type_def_18,type,
set_Pr1654044726_pi_pi: $tType ).
thf(type_def_19,type,
produc405342261i_name: $tType ).
thf(type_def_20,type,
produc629157763_pi_pi: $tType ).
thf(type_def_21,type,
produc1141751126_pi_pi: $tType ).
thf(type_def_22,type,
produc1357834675reeRes: $tType ).
thf(type_def_23,type,
produc2052722628s_name: $tType ).
thf(type_def_24,type,
produc2008547984reeRes: $tType ).
thf(type_def_25,type,
produc992857746Res_pi: $tType ).
thf(type_def_26,type,
produc649380958reeRes: $tType ).
thf(type_def_27,type,
set_Pr1834926343_pi_pi: $tType ).
thf(type_def_28,type,
produc367475239e_name: $tType ).
thf(type_def_29,type,
product_prod_pi_name: $tType ).
thf(type_def_30,type,
product_prod_name_pi: $tType ).
thf(type_def_31,type,
product_prod_pi_pi: $tType ).
thf(type_def_32,type,
noption_Late_freeRes: $tType ).
thf(type_def_33,type,
noption_name: $tType ).
thf(type_def_34,type,
noption_pi: $tType ).
thf(type_def_35,type,
late_residual: $tType ).
thf(type_def_36,type,
late_subject: $tType ).
thf(type_def_37,type,
late_freeRes: $tType ).
thf(type_def_38,type,
name: $tType ).
thf(type_def_39,type,
pi: $tType ).
thf(type_def_40,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
input: name > name > pi > pi ).
thf(func_def_1,type,
mismatch: name > name > pi > pi ).
thf(func_def_2,type,
output: name > name > pi > pi ).
thf(func_def_3,type,
par: pi > pi > pi ).
thf(func_def_4,type,
piNil: pi ).
thf(func_def_5,type,
res: name > pi > pi ).
thf(func_def_6,type,
sum: pi > pi > pi ).
thf(func_def_7,type,
tau: pi > pi ).
thf(func_def_8,type,
subs: pi > name > name > pi ).
thf(func_def_9,type,
late_OutputR: name > name > late_freeRes ).
thf(func_def_10,type,
late_TauR: late_freeRes ).
thf(func_def_11,type,
late_BoundR: late_subject > name > pi > late_residual ).
thf(func_def_12,type,
late_FreeR: late_freeRes > pi > late_residual ).
thf(func_def_13,type,
late_BoundOutputS: name > late_subject ).
thf(func_def_14,type,
late_InputS: name > late_subject ).
thf(func_def_15,type,
late_transitions: pi > late_residual > $o ).
thf(func_def_16,type,
abs_fun_name_name: name > name > name > noption_name ).
thf(func_def_17,type,
abs_fun_name_pi: name > pi > name > noption_pi ).
thf(func_def_18,type,
abs_fu681348580reeRes: name > late_freeRes > name > noption_Late_freeRes ).
thf(func_def_19,type,
abs_fu385186459_pi_pi: name > produc1141751126_pi_pi > name > noptio1575811931_pi_pi ).
thf(func_def_20,type,
fresh_1093033124n_name: name > ( name > noption_name ) > $o ).
thf(func_def_21,type,
fresh_543891186ion_pi: name > ( name > noption_pi ) > $o ).
thf(func_def_22,type,
fresh_785364841reeRes: name > ( name > noption_Late_freeRes ) > $o ).
thf(func_def_23,type,
fresh_2065563522_pi_pi: name > ( name > noptio1575811931_pi_pi ) > $o ).
thf(func_def_24,type,
fresh_name_name: name > name > $o ).
thf(func_def_25,type,
fresh_name_pi: name > pi > $o ).
thf(func_def_26,type,
fresh_1641682979reeRes: name > late_freeRes > $o ).
thf(func_def_27,type,
fresh_81631222sidual: name > late_residual > $o ).
thf(func_def_28,type,
fresh_717452603ubject: name > late_subject > $o ).
thf(func_def_29,type,
fresh_225680151ion_pi: name > produc1462499409ion_pi > $o ).
thf(func_def_30,type,
fresh_453496559i_name: name > produc405342261i_name > $o ).
thf(func_def_31,type,
fresh_253309757_pi_pi: name > produc629157763_pi_pi > $o ).
thf(func_def_32,type,
fresh_1711070152reeRes: name > produc1834551554reeRes > $o ).
thf(func_def_33,type,
fresh_1513292180i_name: name > produc1443308494i_name > $o ).
thf(func_def_34,type,
fresh_1335311330_pi_pi: name > produc1559976732_pi_pi > $o ).
thf(func_def_35,type,
fresh_1729533561reeRes: name > produc1961110975reeRes > $o ).
thf(func_def_36,type,
fresh_975559885_pi_pi: name > produc53907987_pi_pi > $o ).
thf(func_def_37,type,
fresh_441084397e_name: name > produc367475239e_name > $o ).
thf(func_def_38,type,
fresh_93646139ame_pi: name > product_prod_name_pi > $o ).
thf(func_def_39,type,
fresh_1963366730reeRes: name > produc2008547984reeRes > $o ).
thf(func_def_40,type,
fresh_1376661020_pi_pi: name > produc1141751126_pi_pi > $o ).
thf(func_def_41,type,
fresh_261416607i_name: name > product_prod_pi_name > $o ).
thf(func_def_42,type,
fresh_1627595501_pi_pi: name > product_prod_pi_pi > $o ).
thf(func_def_43,type,
fresh_1504024600reeRes: name > produc649380958reeRes > $o ).
thf(func_def_44,type,
fresh_2007541374s_name: name > produc2052722628s_name > $o ).
thf(func_def_45,type,
fresh_1847501388Res_pi: name > produc992857746Res_pi > $o ).
thf(func_def_46,type,
fresh_493808761reeRes: name > produc1357834675reeRes > $o ).
thf(func_def_47,type,
ord_le1032043601ion_pi: set_Pr1569510577ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_48,type,
ord_le2082425291i_name: set_Pr1294453099i_name > set_Pr1294453099i_name > $o ).
thf(func_def_49,type,
ord_le1854926745_pi_pi: set_Pr1694908217_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_50,type,
ord_le1762471042reeRes: set_Pr305743074reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_51,type,
ord_le211833513_pi_pi: set_Pr100209225_pi_pi > set_Pr100209225_pi_pi > $o ).
thf(func_def_52,type,
ord_le797229014_pi_pi: set_Pr1654044726_pi_pi > set_Pr1654044726_pi_pi > $o ).
thf(func_def_53,type,
ord_le630093991_pi_pi: set_Pr1834926343_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_54,type,
produc1342893193ion_pi: ( name > noption_pi ) > ( name > noption_pi ) > produc1462499409ion_pi ).
thf(func_def_55,type,
produc540578151i_name: ( name > noption_pi ) > name > produc405342261i_name ).
thf(func_def_56,type,
produc1820286517_pi_pi: ( name > noption_pi ) > pi > produc629157763_pi_pi ).
thf(func_def_57,type,
produc1505598906reeRes: ( name > noption_pi ) > late_freeRes > produc1834551554reeRes ).
thf(func_def_58,type,
produc674047040ion_pi: ( name > noption_pi ) > produc1462499409ion_pi > produc1217648014ion_pi ).
thf(func_def_59,type,
produc1024533510i_name: ( name > noption_pi ) > produc405342261i_name > produc1443308494i_name ).
thf(func_def_60,type,
produc1189045204_pi_pi: ( name > noption_pi ) > produc629157763_pi_pi > produc1559976732_pi_pi ).
thf(func_def_61,type,
produc703114481reeRes: ( name > noption_pi ) > produc1834551554reeRes > produc1961110975reeRes ).
thf(func_def_62,type,
produc1275980869_pi_pi: ( name > noption_pi ) > produc1141751126_pi_pi > produc53907987_pi_pi ).
thf(func_def_63,type,
produc1570949143e_name: name > name > produc367475239e_name ).
thf(func_def_64,type,
product_Pair_name_pi: name > pi > product_prod_name_pi ).
thf(func_def_65,type,
produc1531804426reeRes: name > late_freeRes > produc2008547984reeRes ).
thf(func_def_66,type,
produc235456326_pi_pi: name > product_prod_pi_pi > produc1141751126_pi_pi ).
thf(func_def_67,type,
product_Pair_pi_name: pi > name > product_prod_pi_name ).
thf(func_def_68,type,
product_Pair_pi_pi: pi > pi > product_prod_pi_pi ).
thf(func_def_69,type,
produc1638681944reeRes: pi > late_freeRes > produc649380958reeRes ).
thf(func_def_70,type,
produc1701355766s_name: late_freeRes > name > produc2052722628s_name ).
thf(func_def_71,type,
produc1177552196Res_pi: late_freeRes > pi > produc992857746Res_pi ).
thf(func_def_72,type,
produc1244821099reeRes: late_freeRes > late_freeRes > produc1357834675reeRes ).
thf(func_def_73,type,
eqvt_pi: set_Pr1834926343_pi_pi > $o ).
thf(func_def_74,type,
id_name_noption_pi: set_Pr1569510577ion_pi ).
thf(func_def_75,type,
id_pi: set_Pr1834926343_pi_pi ).
thf(func_def_76,type,
collec1051790738_pi_pi: ( product_prod_pi_pi > $o ) > set_Pr1834926343_pi_pi ).
thf(func_def_77,type,
strong2129052853vative: pi > pi > late_subject > name > set_Pr1834926343_pi_pi > $o ).
thf(func_def_78,type,
strong743114133lation: pi > set_Pr1834926343_pi_pi > pi > $o ).
thf(func_def_79,type,
member1632198138ion_pi: produc1462499409ion_pi > set_Pr1569510577ion_pi > $o ).
thf(func_def_80,type,
member1353687244i_name: produc405342261i_name > set_Pr1294453099i_name > $o ).
thf(func_def_81,type,
member772629402_pi_pi: produc629157763_pi_pi > set_Pr1694908217_pi_pi > $o ).
thf(func_def_82,type,
member2081207979reeRes: produc1834551554reeRes > set_Pr305743074reeRes > $o ).
thf(func_def_83,type,
member695660714_pi_pi: produc53907987_pi_pi > set_Pr100209225_pi_pi > $o ).
thf(func_def_84,type,
member540268543_pi_pi: produc1141751126_pi_pi > set_Pr1654044726_pi_pi > $o ).
thf(func_def_85,type,
member558706512_pi_pi: product_prod_pi_pi > set_Pr1834926343_pi_pi > $o ).
thf(func_def_86,type,
p: pi ).
thf(func_def_87,type,
pq: pi ).
thf(func_def_88,type,
q: pi ).
thf(func_def_89,type,
rel: set_Pr1834926343_pi_pi ).
thf(func_def_90,type,
a: late_subject ).
thf(func_def_91,type,
x: name ).
thf(func_def_92,type,
y: name ).
thf(func_def_94,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_95,type,
vIMP: $o > $o > $o ).
thf(func_def_96,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_101,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_102,type,
vAND: $o > $o > $o ).
thf(func_def_103,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_104,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_107,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_108,type,
vNOT: $o > $o ).
thf(func_def_109,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_110,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_111,type,
db8:
!>[X0: $tType] : X0 ).
thf(func_def_112,type,
vOR: $o > $o > $o ).
thf(func_def_113,type,
db9:
!>[X0: $tType] : X0 ).
thf(func_def_114,type,
db10:
!>[X0: $tType] : X0 ).
thf(func_def_115,type,
sK0: name > name ).
thf(func_def_116,type,
sK1: pi > name ).
thf(func_def_117,type,
sK2: late_freeRes > name ).
thf(func_def_118,type,
sK3: produc1141751126_pi_pi > name ).
thf(func_def_119,type,
sK4: produc1141751126_pi_pi > name ).
thf(func_def_120,type,
sK5: produc1141751126_pi_pi > product_prod_pi_pi ).
thf(func_def_121,type,
sK6: product_prod_pi_pi > pi ).
thf(func_def_122,type,
sK7: product_prod_pi_pi > pi ).
thf(func_def_123,type,
sK8: product_prod_pi_pi > pi ).
thf(func_def_124,type,
sK9: product_prod_pi_pi > pi ).
thf(func_def_125,type,
sK10: produc1141751126_pi_pi > name ).
thf(func_def_126,type,
sK11: produc1141751126_pi_pi > product_prod_pi_pi ).
thf(func_def_127,type,
sK12: produc1834551554reeRes > name > noption_pi ).
thf(func_def_128,type,
sK13: produc1834551554reeRes > late_freeRes ).
thf(func_def_129,type,
sK14: produc1217648014ion_pi > name > noption_pi ).
thf(func_def_130,type,
sK15: produc1217648014ion_pi > produc1462499409ion_pi ).
thf(func_def_131,type,
sK16: produc629157763_pi_pi > name > noption_pi ).
thf(func_def_132,type,
sK17: produc629157763_pi_pi > pi ).
thf(func_def_133,type,
sK18: produc405342261i_name > name ).
thf(func_def_134,type,
sK19: produc405342261i_name > name > noption_pi ).
thf(func_def_135,type,
sK20: produc53907987_pi_pi > produc1141751126_pi_pi ).
thf(func_def_136,type,
sK21: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_137,type,
sK22: produc1559976732_pi_pi > name > noption_pi ).
thf(func_def_138,type,
sK23: produc1559976732_pi_pi > produc629157763_pi_pi ).
thf(func_def_139,type,
sK24: produc1834551554reeRes > late_freeRes ).
thf(func_def_140,type,
sK25: produc1834551554reeRes > name > noption_pi ).
thf(func_def_141,type,
sK26: produc1961110975reeRes > produc1834551554reeRes ).
thf(func_def_142,type,
sK27: produc1961110975reeRes > name > noption_pi ).
thf(func_def_143,type,
sK28: produc405342261i_name > name ).
thf(func_def_144,type,
sK29: produc405342261i_name > name > noption_pi ).
thf(func_def_145,type,
sK30: produc53907987_pi_pi > produc1141751126_pi_pi ).
thf(func_def_146,type,
sK31: produc53907987_pi_pi > name > noption_pi ).
thf(func_def_147,type,
sK32: produc1443308494i_name > name > noption_pi ).
thf(func_def_148,type,
sK33: produc1443308494i_name > produc405342261i_name ).
thf(func_def_149,type,
sK34: produc629157763_pi_pi > name > noption_pi ).
thf(func_def_150,type,
sK35: produc629157763_pi_pi > pi ).
thf(func_def_151,type,
sK36: product_prod_pi_pi > pi ).
thf(func_def_152,type,
sK37: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_153,type,
sK38: produc1462499409ion_pi > name > noption_pi ).
thf(func_def_154,type,
sK39: late_freeRes > name ).
thf(func_def_155,type,
sK40: late_freeRes > name ).
thf(f2,axiom,
fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_Bound_Ohyps_I5_J) ).
thf(f32,axiom,
! [X0: name,X1: name,X2: product_prod_pi_pi] :
( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
=> ( fresh_name_name @ X0 @ X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_fresh__prodD_I1_J) ).
thf(f274,axiom,
( ( ^ [X0: name,X1: name] : ( X0 != X1 ) )
= fresh_name_name ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_273_name__fresh) ).
thf(f353,conjecture,
y != x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f354,negated_conjecture,
~ ( ( y != x ) ),
inference(negated_conjecture,[status(cth)],[f353]) ).
thf(f743,plain,
fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ),
inference(rectify,[],[f2]) ).
thf(f744,plain,
( ( fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ) )
= $true ),
inference(fool_elimination,[],[f743]) ).
thf(f765,plain,
! [X0: name,X1: name,X2: product_prod_pi_pi] :
( ( fresh_1376661020_pi_pi @ X0 @ ( produc235456326_pi_pi @ X1 @ X2 ) )
=> ( fresh_name_name @ X0 @ X1 ) ),
inference(rectify,[],[f32]) ).
thf(f766,plain,
( ( !! @ product_prod_pi_pi
@ ^ [Y0: product_prod_pi_pi] :
( !! @ name
@ ^ [Y1: name] :
( !! @ name
@ ^ [Y2: name] :
( ( fresh_1376661020_pi_pi @ Y2 @ ( produc235456326_pi_pi @ Y1 @ Y0 ) )
=> ( fresh_name_name @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(fool_elimination,[],[f765]) ).
thf(f1003,plain,
( fresh_name_name
= ( ^ [Y0: name,Y1: name] : ( Y0 != Y1 ) ) ),
inference(fool_elimination,[],[f274]) ).
thf(f1032,plain,
( ( ~ ( ( y != x ) ) )
= $true ),
inference(fool_elimination,[],[f354]) ).
thf(f1182,plain,
( ( fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ x @ ( product_Pair_pi_pi @ p @ q ) ) )
= $true ),
inference(cnf_transformation,[],[f744]) ).
thf(f1200,plain,
( fresh_name_name
= ( ^ [Y0: name,Y1: name] : ( Y0 != Y1 ) ) ),
inference(cnf_transformation,[],[f1003]) ).
thf(f1231,plain,
( ( !! @ product_prod_pi_pi
@ ^ [Y0: product_prod_pi_pi] :
( !! @ name
@ ^ [Y1: name] :
( !! @ name
@ ^ [Y2: name] :
( ( fresh_1376661020_pi_pi @ Y2 @ ( produc235456326_pi_pi @ Y1 @ Y0 ) )
=> ( fresh_name_name @ Y2 @ Y1 ) ) ) ) )
= $true ),
inference(cnf_transformation,[],[f766]) ).
thf(f1232,plain,
( ( ~ ( ( y != x ) ) )
= $true ),
inference(cnf_transformation,[],[f1032]) ).
thf(f1436,plain,
( ( !! @ product_prod_pi_pi
@ ^ [Y0: product_prod_pi_pi] :
( !! @ name
@ ^ [Y1: name] :
( !! @ name
@ ^ [Y2: name] :
( ( fresh_1376661020_pi_pi @ Y2 @ ( produc235456326_pi_pi @ Y1 @ Y0 ) )
=> ( ^ [Y3: name,Y4: name] : ( Y3 != Y4 )
@ Y2
@ Y1 ) ) ) ) )
= $true ),
inference(definition_unfolding,[],[f1231,f1200]) ).
thf(f1508,plain,
( ( y = x )
= $true ),
inference(boolean_simplification,[],[f1232]) ).
thf(f1509,plain,
( ( !! @ product_prod_pi_pi
@ ^ [Y0: product_prod_pi_pi] :
( !! @ name
@ ^ [Y1: name] :
( !! @ name
@ ^ [Y2: name] :
( ( fresh_1376661020_pi_pi @ Y2 @ ( produc235456326_pi_pi @ Y1 @ Y0 ) )
=> ( Y2 != Y1 ) ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f1436]) ).
thf(f1559,plain,
y = x,
inference(equality_proxy_clausification,[],[f1508]) ).
thf(f1588,plain,
( ( fresh_1376661020_pi_pi @ y @ ( produc235456326_pi_pi @ y @ ( product_Pair_pi_pi @ p @ q ) ) )
= $true ),
inference(forward_demodulation,[],[f1182,f1559]) ).
thf(f2734,plain,
! [X1: product_prod_pi_pi] :
( ( ^ [Y0: product_prod_pi_pi] :
( !! @ name
@ ^ [Y1: name] :
( !! @ name
@ ^ [Y2: name] :
( ( fresh_1376661020_pi_pi @ Y2 @ ( produc235456326_pi_pi @ Y1 @ Y0 ) )
=> ( Y2 != Y1 ) ) ) )
@ X1 )
= $true ),
inference(pi_proxy_clausification,[],[f1509]) ).
thf(f2735,plain,
! [X1: product_prod_pi_pi] :
( ( !! @ name
@ ^ [Y0: name] :
( !! @ name
@ ^ [Y1: name] :
( ( fresh_1376661020_pi_pi @ Y1 @ ( produc235456326_pi_pi @ Y0 @ X1 ) )
=> ( Y1 != Y0 ) ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2734]) ).
thf(f2746,plain,
! [X2: name,X1: product_prod_pi_pi] :
( ( ^ [Y0: name] :
( !! @ name
@ ^ [Y1: name] :
( ( fresh_1376661020_pi_pi @ Y1 @ ( produc235456326_pi_pi @ Y0 @ X1 ) )
=> ( Y1 != Y0 ) ) )
@ X2 )
= $true ),
inference(pi_proxy_clausification,[],[f2735]) ).
thf(f2747,plain,
! [X2: name,X1: product_prod_pi_pi] :
( ( !! @ name
@ ^ [Y0: name] :
( ( fresh_1376661020_pi_pi @ Y0 @ ( produc235456326_pi_pi @ X2 @ X1 ) )
=> ( Y0 != X2 ) ) )
= $true ),
inference(beta-eta_normalization,[],[f2746]) ).
thf(f2748,plain,
! [X2: name,X3: name,X1: product_prod_pi_pi] :
( ( ^ [Y0: name] :
( ( fresh_1376661020_pi_pi @ Y0 @ ( produc235456326_pi_pi @ X2 @ X1 ) )
=> ( Y0 != X2 ) )
@ X3 )
= $true ),
inference(pi_proxy_clausification,[],[f2747]) ).
thf(f2749,plain,
! [X2: name,X3: name,X1: product_prod_pi_pi] :
( ( ( fresh_1376661020_pi_pi @ X3 @ ( produc235456326_pi_pi @ X2 @ X1 ) )
=> ( X3 != X2 ) )
= $true ),
inference(beta-eta_normalization,[],[f2748]) ).
thf(f2750,plain,
! [X2: name,X3: name,X1: product_prod_pi_pi] :
( ( ( X3 != X2 )
= $true )
| ( $false
= ( fresh_1376661020_pi_pi @ X3 @ ( produc235456326_pi_pi @ X2 @ X1 ) ) ) ),
inference(imp_proxy_clausification,[],[f2749]) ).
thf(f2751,plain,
! [X2: name,X3: name,X1: product_prod_pi_pi] :
( ( $false
= ( X3 = X2 ) )
| ( $false
= ( fresh_1376661020_pi_pi @ X3 @ ( produc235456326_pi_pi @ X2 @ X1 ) ) ) ),
inference(not_proxy_clausification,[],[f2750]) ).
thf(f2752,plain,
! [X2: name,X3: name,X1: product_prod_pi_pi] :
( ( $false
= ( fresh_1376661020_pi_pi @ X3 @ ( produc235456326_pi_pi @ X2 @ X1 ) ) )
| ( X2 != X3 ) ),
inference(equality_proxy_clausification,[],[f2751]) ).
thf(f2760,plain,
( ( $false = $true )
| ( y != y ) ),
inference(superposition,[],[f2752,f1588]) ).
thf(f2765,plain,
$false,
inference(trivial_inequality_removal,[],[f2760]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP181^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n011.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:07:47 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.22/0.28 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
% 0.61/0.43 % (577706)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.61/0.43 % (577715)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=506854235:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.61/0.43 % (577717)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.61/0.43 % (577717)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
% 0.61/0.43 % (577715)Instruction limit reached!
% 0.61/0.43 % (577715)------------------------------
% 0.61/0.43 % (577715)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (577715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (577715)CaDiCaL version: 2.1.3
% 0.61/0.43 % (577715)Termination reason: Instruction limit
% 0.61/0.43 % (577715)Termination phase: shuffling
% 0.61/0.43 % (577715)Time elapsed: 0.006 s
% 0.61/0.43 % (577715)Peak memory usage: 10 MB
% 0.61/0.43 % (577715)Instructions burned: 28 (million)
% 0.61/0.43 % (577712)lrs+10_16_si=on:nwc=1.5:random_seed=2549507305:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.61/0.43 % (577713)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2420395421:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.61/0.43 % (577714)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=3113332891: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)
% 0.61/0.43 % (577716)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=353352898:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.61/0.43 % (577717)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=3622037799:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.61/0.43 % (577713)Instruction limit reached!
% 0.61/0.43 % (577713)------------------------------
% 0.61/0.43 % (577713)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (577713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (577713)CaDiCaL version: 2.1.3
% 0.61/0.43 % (577713)Termination reason: Instruction limit
% 0.61/0.43 % (577713)Termination phase: shuffling
% 0.61/0.43 % (577713)Time elapsed: 0.003 s
% 0.61/0.43 % (577713)Peak memory usage: 10 MB
% 0.61/0.43 % (577713)Instructions burned: 6 (million)
% 0.61/0.43 % (577712)Instruction limit reached!
% 0.61/0.43 % (577712)------------------------------
% 0.61/0.43 % (577712)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (577712)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (577712)CaDiCaL version: 2.1.3
% 0.61/0.43 % (577712)Termination reason: Instruction limit
% 0.61/0.43 % (577712)Termination phase: shuffling
% 0.61/0.43 % (577712)Time elapsed: 0.008 s
% 0.61/0.43 % (577712)Peak memory usage: 10 MB
% 0.61/0.43 % (577712)Instructions burned: 18 (million)
% 0.61/0.43 % (577719)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=543989906:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.43 % (577719)Instruction limit reached!
% 0.61/0.43 % (577719)------------------------------
% 0.61/0.43 % (577719)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.43 % (577719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.43 % (577719)CaDiCaL version: 2.1.3
% 0.61/0.43 % (577719)Termination reason: Instruction limit
% 0.61/0.43 % (577719)Termination phase: shuffling
% 0.61/0.43 % (577719)Time elapsed: 0.001 s
% 0.61/0.43 % (577719)Peak memory usage: 10 MB
% 0.61/0.43 % (577719)Instructions burned: 2 (million)
% 0.61/0.43 % (577711)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=448609227:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.61/0.43 % (577728)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1979395346:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.61/0.43 % (577725)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=249228961:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.61/0.46 % (577728)Instruction limit reached!
% 0.61/0.46 % (577728)------------------------------
% 0.61/0.46 % (577728)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (577728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (577728)CaDiCaL version: 2.1.3
% 0.61/0.46 % (577728)Termination reason: Instruction limit
% 0.61/0.46 % (577728)Termination phase: shuffling
% 0.61/0.46 % (577728)Time elapsed: 0.003 s
% 0.61/0.46 % (577728)Peak memory usage: 10 MB
% 0.61/0.46 % (577728)Instructions burned: 12 (million)
% 0.61/0.46 % (577727)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.46 % (577725)Instruction limit reached!
% 0.61/0.46 % (577725)------------------------------
% 0.61/0.46 % (577725)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (577725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (577725)CaDiCaL version: 2.1.3
% 0.61/0.46 % (577725)Termination reason: Instruction limit
% 0.61/0.46 % (577725)Termination phase: shuffling
% 0.61/0.46 % (577725)Time elapsed: 0.003 s
% 0.61/0.46 % (577725)Peak memory usage: 10 MB
% 0.61/0.46 % (577725)Instructions burned: 7 (million)
% 0.61/0.46 % (577727)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=246373382:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.61/0.46 % (577732)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
% 0.61/0.46 % (577732)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.61/0.46 % (577727)Instruction limit reached!
% 0.61/0.46 % (577727)------------------------------
% 0.61/0.46 % (577727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (577727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (577727)CaDiCaL version: 2.1.3
% 0.61/0.46 % (577727)Termination reason: Instruction limit
% 0.61/0.46 % (577727)Termination phase: shuffling
% 0.61/0.46 % (577727)Time elapsed: 0.004 s
% 0.61/0.46 % (577727)Peak memory usage: 10 MB
% 0.61/0.46 % (577727)Instructions burned: 8 (million)
% 0.61/0.46 % (577732)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2994675161:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.61/0.46 % (577716)Instruction limit reached!
% 0.61/0.46 % (577716)------------------------------
% 0.61/0.46 % (577716)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (577716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (577716)CaDiCaL version: 2.1.3
% 0.61/0.46 % (577716)Termination reason: Instruction limit
% 0.61/0.46 % (577716)Termination phase: Preprocessing 3
% 0.61/0.46 % (577716)Time elapsed: 0.035 s
% 0.61/0.46 % (577716)Peak memory usage: 12 MB
% 0.61/0.46 % (577716)Instructions burned: 76 (million)
% 0.61/0.46 % (577732)Instruction limit reached!
% 0.61/0.46 % (577732)------------------------------
% 0.61/0.46 % (577732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.46 % (577732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.46 % (577732)CaDiCaL version: 2.1.3
% 0.61/0.46 % (577732)Termination reason: Instruction limit
% 0.61/0.46 % (577732)Termination phase: shuffling
% 0.61/0.46 % (577732)Time elapsed: 0.008 s
% 0.61/0.46 % (577732)Peak memory usage: 10 MB
% 0.61/0.46 % (577732)Instructions burned: 32 (million)
% 0.61/0.46 % (577733)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=2028440914:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.61/0.46 % (577738)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=1665124143:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.61/0.46 % (577736)lrs+10_1_si=on:cs=on:random_seed=3448542994:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.61/0.48 % (577737)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.61/0.48 % (577737)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=841864860:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.61/0.48 % (577736)Instruction limit reached!
% 0.61/0.48 % (577736)------------------------------
% 0.61/0.48 % (577736)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48 % (577736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48 % (577736)CaDiCaL version: 2.1.3
% 0.61/0.48 % (577736)Termination reason: Instruction limit
% 0.61/0.48 % (577736)Termination phase: shuffling
% 0.61/0.48 % (577736)Time elapsed: 0.004 s
% 0.61/0.48 % (577736)Peak memory usage: 10 MB
% 0.61/0.48 % (577736)Instructions burned: 8 (million)
% 0.61/0.48 % (577737)Instruction limit reached!
% 0.61/0.48 % (577737)------------------------------
% 0.61/0.48 % (577737)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48 % (577737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48 % (577737)CaDiCaL version: 2.1.3
% 0.61/0.48 % (577737)Termination reason: Instruction limit
% 0.61/0.48 % (577737)Termination phase: shuffling
% 0.61/0.48 % (577737)Time elapsed: 0.003 s
% 0.61/0.48 % (577737)Peak memory usage: 10 MB
% 0.61/0.48 % (577737)Instructions burned: 5 (million)
% 0.61/0.48 % (577738)Instruction limit reached!
% 0.61/0.48 % (577738)------------------------------
% 0.61/0.48 % (577738)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48 % (577738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48 % (577738)CaDiCaL version: 2.1.3
% 0.61/0.48 % (577738)Termination reason: Instruction limit
% 0.61/0.48 % (577738)Termination phase: Property scanning
% 0.61/0.48 % (577738)Time elapsed: 0.010 s
% 0.61/0.48 % (577738)Peak memory usage: 10 MB
% 0.61/0.48 % (577738)Instructions burned: 43 (million)
% 0.61/0.48 % (577717)Instruction limit reached!
% 0.61/0.48 % (577717)------------------------------
% 0.61/0.48 % (577717)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48 % (577717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48 % (577717)CaDiCaL version: 2.1.3
% 0.61/0.48 % (577717)Termination reason: Instruction limit
% 0.61/0.48 % (577717)Termination phase: Property scanning
% 0.61/0.48 % (577717)Time elapsed: 0.069 s
% 0.61/0.48 % (577717)Peak memory usage: 13 MB
% 0.61/0.48 % (577717)Instructions burned: 158 (million)
% 0.61/0.48 % (577745)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=125746180:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.61/0.48 % (577743)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1460761155:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.61/0.48 % (577745)Instruction limit reached!
% 0.61/0.48 % (577745)------------------------------
% 0.61/0.48 % (577745)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48 % (577745)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48 % (577745)CaDiCaL version: 2.1.3
% 0.61/0.48 % (577745)Termination reason: Instruction limit
% 0.61/0.48 % (577745)Termination phase: shuffling
% 0.61/0.48 % (577745)Time elapsed: 0.004 s
% 0.61/0.48 % (577745)Peak memory usage: 10 MB
% 0.61/0.48 % (577745)Instructions burned: 17 (million)
% 0.61/0.48 % (577744)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=628396216:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.61/0.48 % (577733)Instruction limit reached!
% 0.61/0.48 % (577733)------------------------------
% 0.61/0.48 % (577733)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.48 % (577733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.48 % (577733)CaDiCaL version: 2.1.3
% 0.61/0.48 % (577733)Termination reason: Instruction limit
% 0.61/0.48 % (577733)Termination phase: Property scanning
% 0.61/0.48 % (577733)Time elapsed: 0.038 s
% 0.61/0.48 % (577733)Peak memory usage: 11 MB
% 0.61/0.48 % (577733)Instructions burned: 87 (million)
% 0.61/0.48 % (577711)Instruction limit reached!
% 0.61/0.48 % (577711)------------------------------
% 1.41/0.53 % (577711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.53 % (577711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.53 % (577711)CaDiCaL version: 2.1.3
% 1.41/0.53 % (577749)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1010169193:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.41/0.53 % (577711)Termination reason: Instruction limit
% 1.41/0.53 % (577711)Termination phase: Property scanning
% 1.41/0.53 % (577711)Time elapsed: 0.074 s
% 1.41/0.53 % (577711)Peak memory usage: 12 MB
% 1.41/0.53 % (577711)Instructions burned: 88 (million)
% 1.41/0.53 % (577746)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=514188895:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.41/0.53 % (577744)Instruction limit reached!
% 1.41/0.53 % (577744)------------------------------
% 1.41/0.53 % (577744)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.53 % (577744)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.53 % (577744)CaDiCaL version: 2.1.3
% 1.41/0.53 % (577744)Termination reason: Instruction limit
% 1.41/0.53 % (577744)Termination phase: shuffling
% 1.41/0.53 % (577744)Time elapsed: 0.011 s
% 1.41/0.53 % (577744)Peak memory usage: 10 MB
% 1.41/0.53 % (577744)Instructions burned: 26 (million)
% 1.41/0.53 % (577749)Instruction limit reached!
% 1.41/0.53 % (577749)------------------------------
% 1.41/0.53 % (577749)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.53 % (577749)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.53 % (577749)CaDiCaL version: 2.1.3
% 1.41/0.53 % (577749)Termination reason: Instruction limit
% 1.41/0.53 % (577749)Termination phase: shuffling
% 1.41/0.53 % (577749)Time elapsed: 0.004 s
% 1.41/0.53 % (577749)Peak memory usage: 10 MB
% 1.41/0.53 % (577749)Instructions burned: 17 (million)
% 1.41/0.53 % (577751)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=3323679571: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)
% 1.41/0.53 % (577756)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4014547855:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.41/0.53 % (577743)Refutation not found, incomplete strategy
% 1.41/0.53 % (577743)------------------------------
% 1.41/0.53 % (577743)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.53 % (577743)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.53 % (577743)CaDiCaL version: 2.1.3
% 1.41/0.53 % (577743)Termination reason: Refutation not found, incomplete strategy
% 1.41/0.53 % (577743)Time elapsed: 0.026 s
% 1.41/0.53 % (577743)Peak memory usage: 13 MB
% 1.41/0.53 % (577743)Instructions burned: 58 (million)
% 1.41/0.53 % (577743)------------------------------
% 1.41/0.53 % (577743)------------------------------
% 1.41/0.53 % (577751)Instruction limit reached!
% 1.41/0.53 % (577751)------------------------------
% 1.41/0.53 % (577751)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.53 % (577751)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.53 % (577751)CaDiCaL version: 2.1.3
% 1.41/0.53 % (577751)Termination reason: Instruction limit
% 1.41/0.53 % (577751)Termination phase: shuffling
% 1.41/0.53 % (577751)Time elapsed: 0.002 s
% 1.41/0.53 % (577751)Peak memory usage: 10 MB
% 1.41/0.53 % (577751)Instructions burned: 3 (million)
% 1.41/0.53 % (577754)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4157417336:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.41/0.53 % (577755)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=108378561:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.41/0.53 % (577756)Instruction limit reached!
% 1.41/0.53 % (577756)------------------------------
% 1.41/0.53 % (577756)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.41/0.53 % (577756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.41/0.53 % (577756)CaDiCaL version: 2.1.3
% 1.41/0.53 % (577756)Termination reason: Instruction limit
% 1.41/0.53 % (577756)Termination phase: Preprocessing 3
% 1.41/0.53 % (577756)Time elapsed: 0.014 s
% 1.41/0.53 % (577756)Peak memory usage: 11 MB
% 1.98/0.59 % (577756)Instructions burned: 61 (million)
% 1.98/0.59 % (577759)WARNING Broken Constraint: if sine_to_age_generality_threshold(10) 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
% 1.98/0.59 % (577759)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.98/0.59 % (577754)Instruction limit reached!
% 1.98/0.59 % (577754)------------------------------
% 1.98/0.59 % (577754)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (577754)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (577754)CaDiCaL version: 2.1.3
% 1.98/0.59 % (577754)Termination reason: Instruction limit
% 1.98/0.59 % (577754)Termination phase: shuffling
% 1.98/0.59 % (577754)Time elapsed: 0.012 s
% 1.98/0.59 % (577754)Peak memory usage: 11 MB
% 1.98/0.59 % (577754)Instructions burned: 26 (million)
% 1.98/0.59 % (577755)Instruction limit reached!
% 1.98/0.59 % (577755)------------------------------
% 1.98/0.59 % (577755)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (577755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (577755)CaDiCaL version: 2.1.3
% 1.98/0.59 % (577755)Termination reason: Instruction limit
% 1.98/0.59 % (577755)Termination phase: shuffling
% 1.98/0.59 % (577755)Time elapsed: 0.010 s
% 1.98/0.59 % (577755)Peak memory usage: 10 MB
% 1.98/0.59 % (577755)Instructions burned: 24 (million)
% 1.98/0.59 % (577759)ott+21_1_to=kbo:sil=128000:cnfonf=lazy_gen:bsd=on:si=on:sp=const_frequency:lma=off:uwa=off:foolp=on:s2agt=10:lwlo=on:random_seed=429436135:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.98/0.59 % (577760)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.98/0.59 % (577763)dis+1004_50_to=lpo:drc=off:fde=unused:cnfonf=lazy_not_gen_be_off:si=on:sp=reverse_arity:spb=units:cbe=off:foolp=on:random_seed=3341314087:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.98/0.59 % (577759)Instruction limit reached!
% 1.98/0.59 % (577759)------------------------------
% 1.98/0.59 % (577759)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (577759)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (577759)CaDiCaL version: 2.1.3
% 1.98/0.59 % (577759)Termination reason: Instruction limit
% 1.98/0.59 % (577759)Termination phase: shuffling
% 1.98/0.59 % (577759)Time elapsed: 0.007 s
% 1.98/0.59 % (577759)Peak memory usage: 10 MB
% 1.98/0.59 % (577759)Instructions burned: 15 (million)
% 1.98/0.59 % (577760)lrs+1010_4:1_slsqr=8,1:to=kbo:cha=on:drc=off:si=on:sp=arity:lcm=predicate:uwa=off:fd=preordered:gs=on:nwc=5:s2agt=32:slsqc=1:kmz=on:updr=off:chr=on:pe=on:slsq=on:random_seed=3509863382:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.98/0.59 % (577763)Instruction limit reached!
% 1.98/0.59 % (577763)------------------------------
% 1.98/0.59 % (577763)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (577763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (577763)CaDiCaL version: 2.1.3
% 1.98/0.59 % (577763)Termination reason: Instruction limit
% 1.98/0.59 % (577763)Termination phase: shuffling
% 1.98/0.59 % (577763)Time elapsed: 0.008 s
% 1.98/0.59 % (577763)Peak memory usage: 11 MB
% 1.98/0.59 % (577763)Instructions burned: 34 (million)
% 1.98/0.59 % (577764)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=1818764903:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.98/0.59 % (577765)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=297213282:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.98/0.59 % (577760)Instruction limit reached!
% 1.98/0.59 % (577760)------------------------------
% 1.98/0.59 % (577760)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.98/0.59 % (577760)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.98/0.59 % (577760)CaDiCaL version: 2.1.3
% 1.98/0.59 % (577760)Termination reason: Instruction limit
% 1.98/0.59 % (577760)Termination phase: shuffling
% 1.98/0.59 % (577760)Time elapsed: 0.007 s
% 1.98/0.59 % (577760)Peak memory usage: 10 MB
% 1.98/0.59 % (577760)Instructions burned: 24 (million)
% 2.10/0.66 % (577768)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=1976207562:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 2.10/0.66 % (577764)Instruction limit reached!
% 2.10/0.66 % (577764)------------------------------
% 2.10/0.66 % (577764)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.66 % (577764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.66 % (577764)CaDiCaL version: 2.1.3
% 2.10/0.66 % (577764)Termination reason: Instruction limit
% 2.10/0.66 % (577764)Termination phase: shuffling
% 2.10/0.66 % (577764)Time elapsed: 0.008 s
% 2.10/0.66 % (577764)Peak memory usage: 10 MB
% 2.10/0.66 % (577764)Instructions burned: 8 (million)
% 2.10/0.66 % (577765)Instruction limit reached!
% 2.10/0.66 % (577765)------------------------------
% 2.10/0.66 % (577765)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.66 % (577765)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.66 % (577765)CaDiCaL version: 2.1.3
% 2.10/0.66 % (577765)Termination reason: Instruction limit
% 2.10/0.66 % (577765)Termination phase: shuffling
% 2.10/0.66 % (577765)Time elapsed: 0.011 s
% 2.10/0.66 % (577765)Peak memory usage: 10 MB
% 2.10/0.66 % (577765)Instructions burned: 24 (million)
% 2.10/0.66 % (577770)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=2553706281:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 2.10/0.66 % (577773)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=3578459194:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 2.10/0.66 % (577768)Instruction limit reached!
% 2.10/0.66 % (577768)------------------------------
% 2.10/0.66 % (577768)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.66 % (577768)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.66 % (577768)CaDiCaL version: 2.1.3
% 2.10/0.66 % (577768)Termination reason: Instruction limit
% 2.10/0.66 % (577768)Termination phase: shuffling
% 2.10/0.66 % (577768)Time elapsed: 0.009 s
% 2.10/0.66 % (577768)Peak memory usage: 10 MB
% 2.10/0.66 % (577768)Instructions burned: 20 (million)
% 2.10/0.66 % (577776)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2170885208:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.10/0.66 % (577779)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.10/0.66 % (577775)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=1530521939:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.10/0.66 % (577779)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=4124511154:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.10/0.66 % (577779)Instruction limit reached!
% 2.10/0.66 % (577779)------------------------------
% 2.10/0.66 % (577779)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.66 % (577779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.66 % (577779)CaDiCaL version: 2.1.3
% 2.10/0.66 % (577779)Termination reason: Instruction limit
% 2.10/0.66 % (577779)Termination phase: shuffling
% 2.10/0.66 % (577779)Time elapsed: 0.004 s
% 2.10/0.66 % (577779)Peak memory usage: 10 MB
% 2.10/0.66 % (577779)Instructions burned: 9 (million)
% 2.10/0.66 % (577773)Instruction limit reached!
% 2.10/0.66 % (577773)------------------------------
% 2.10/0.66 % (577773)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.66 % (577773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.66 % (577773)CaDiCaL version: 2.1.3
% 2.10/0.66 % (577773)Termination reason: Instruction limit
% 2.10/0.66 % (577773)Termination phase: Property scanning
% 2.10/0.66 % (577773)Time elapsed: 0.033 s
% 2.10/0.66 % (577773)Peak memory usage: 13 MB
% 2.10/0.66 % (577773)Instructions burned: 147 (million)
% 2.10/0.66 % (577776)Instruction limit reached!
% 2.10/0.66 % (577776)------------------------------
% 2.10/0.66 % (577776)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.10/0.66 % (577776)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.10/0.66 % (577776)CaDiCaL version: 2.1.3
% 2.10/0.66 % (577776)Termination reason: Instruction limit
% 2.10/0.66 % (577776)Termination phase: Property scanning
% 2.43/0.73 % (577776)Time elapsed: 0.019 s
% 2.43/0.73 % (577776)Peak memory usage: 11 MB
% 2.43/0.73 % (577776)Instructions burned: 43 (million)
% 2.43/0.73 % (577785)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.43/0.73 % (577785)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=944550421:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.43/0.73 % (577783)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=2506513828:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.43/0.73 % (577785)Instruction limit reached!
% 2.43/0.73 % (577785)------------------------------
% 2.43/0.73 % (577785)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577785)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577785)Termination reason: Instruction limit
% 2.43/0.73 % (577785)Termination phase: shuffling
% 2.43/0.73 % (577785)Time elapsed: 0.002 s
% 2.43/0.73 % (577785)Peak memory usage: 10 MB
% 2.43/0.73 % (577785)Instructions burned: 10 (million)
% 2.43/0.73 % (577784)dis+10_8_sil=128000:plsq=on:plsqc=1:si=on:sp=unary_first:sos=on:lma=off:plsqr=64,1:uwa=interpreted_only:foolp=on:random_seed=1662032060:st=3:avsq=on:i=169:avsqr=8,1:sd=2:kws=precedence:bd=preordered:rtra=on:ss=axioms:ntd=on_2997 on theBenchmark for (2997ds/169Mi)
% 2.43/0.73 % (577775)Refutation not found, incomplete strategy
% 2.43/0.73 % (577775)------------------------------
% 2.43/0.73 % (577775)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577775)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577775)Termination reason: Refutation not found, incomplete strategy
% 2.43/0.73 % (577775)Time elapsed: 0.034 s
% 2.43/0.73 % (577775)Peak memory usage: 13 MB
% 2.43/0.73 % (577775)Instructions burned: 65 (million)
% 2.43/0.73 % (577775)------------------------------
% 2.43/0.73 % (577775)------------------------------
% 2.43/0.73 % (577788)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1331641061:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.43/0.73 % (577788)Instruction limit reached!
% 2.43/0.73 % (577788)------------------------------
% 2.43/0.73 % (577788)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577788)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577788)Termination reason: Instruction limit
% 2.43/0.73 % (577788)Termination phase: shuffling
% 2.43/0.73 % (577788)Time elapsed: 0.006 s
% 2.43/0.73 % (577788)Peak memory usage: 10 MB
% 2.43/0.73 % (577788)Instructions burned: 26 (million)
% 2.43/0.73 % (577783)Refutation not found, incomplete strategy
% 2.43/0.73 % (577783)------------------------------
% 2.43/0.73 % (577783)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577783)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577783)Termination reason: Refutation not found, incomplete strategy
% 2.43/0.73 % (577783)Time elapsed: 0.024 s
% 2.43/0.73 % (577783)Peak memory usage: 12 MB
% 2.43/0.73 % (577783)Instructions burned: 54 (million)
% 2.43/0.73 % (577783)------------------------------
% 2.43/0.73 % (577783)------------------------------
% 2.43/0.73 % (577790)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1234087417:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 2.43/0.73 % (577790)Instruction limit reached!
% 2.43/0.73 % (577790)------------------------------
% 2.43/0.73 % (577790)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577790)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577790)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577790)Termination reason: Instruction limit
% 2.43/0.73 % (577790)Termination phase: shuffling
% 2.43/0.73 % (577790)Time elapsed: 0.005 s
% 2.43/0.73 % (577790)Peak memory usage: 10 MB
% 2.43/0.73 % (577790)Instructions burned: 22 (million)
% 2.43/0.73 % (577795)dis+1003_3:4_to=kbo:plsq=on:prc=on:sims=off:e2e=on:si=on:spb=intro:acc=on:urr=on:uwa=off:foolp=on:s2agt=32:slsqc=3:slsq=on:random_seed=3733165138:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2997 on theBenchmark for (2997ds/45Mi)
% 2.43/0.73 % (577793)dis+1004_4:1_slsqr=1,2:to=lpo:plsq=on:fde=unused:e2e=on:si=on:spb=goal_then_units:acc=on:urr=on:uwa=off:fd=preordered:s2agt=16:slsqc=1:slsq=on:random_seed=532263110:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2997 on theBenchmark for (2997ds/853Mi)
% 2.43/0.73 % (577746)Instruction limit reached!
% 2.43/0.73 % (577746)------------------------------
% 2.43/0.73 % (577746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577746)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577746)Termination reason: Instruction limit
% 2.43/0.73 % (577746)Termination phase: Saturation
% 2.43/0.73 % (577746)Time elapsed: 0.160 s
% 2.43/0.73 % (577746)Peak memory usage: 15 MB
% 2.43/0.73 % (577746)Instructions burned: 328 (million)
% 2.43/0.73 % (577795)Instruction limit reached!
% 2.43/0.73 % (577795)------------------------------
% 2.43/0.73 % (577795)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577795)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577795)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577795)Termination reason: Instruction limit
% 2.43/0.73 % (577795)Termination phase: shuffling
% 2.43/0.73 % (577795)Time elapsed: 0.010 s
% 2.43/0.73 % (577795)Peak memory usage: 10 MB
% 2.43/0.73 % (577795)Instructions burned: 45 (million)
% 2.43/0.73 % (577792)ott+10_1_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:lma=off:plsqr=128,1:urr=ec_only:uwa=off:rp=on:nwc=20:br=off:random_seed=797888234:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 2.43/0.73 % (577799)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=3552381387:avsq=on:i=21:avsqr=8,1:kws=frequency:fgj=on:bd=all:rtra=on:fe=axiom:ntd=on_2996 on theBenchmark for (2996ds/21Mi)
% 2.43/0.73 % (577798)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=2724457723:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 2.43/0.73 % (577799)Instruction limit reached!
% 2.43/0.73 % (577799)------------------------------
% 2.43/0.73 % (577799)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577799)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577799)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577799)Termination reason: Instruction limit
% 2.43/0.73 % (577799)Termination phase: shuffling
% 2.43/0.73 % (577799)Time elapsed: 0.005 s
% 2.43/0.73 % (577799)Peak memory usage: 10 MB
% 2.43/0.73 % (577799)Instructions burned: 22 (million)
% 2.43/0.73 % (577803)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 2.43/0.73 % (577803)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=1580688218:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 2.43/0.73 % (577784)Instruction limit reached!
% 2.43/0.73 % (577784)------------------------------
% 2.43/0.73 % (577784)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577784)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577784)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577784)Termination reason: Instruction limit
% 2.43/0.73 % (577784)Termination phase: Saturation
% 2.43/0.73 % (577784)Time elapsed: 0.081 s
% 2.43/0.73 % (577784)Peak memory usage: 15 MB
% 2.43/0.73 % (577784)Instructions burned: 169 (million)
% 2.43/0.73 % (577805)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=3880665977:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 2.43/0.73 % (577805)Instruction limit reached!
% 2.43/0.73 % (577805)------------------------------
% 2.43/0.73 % (577805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577805)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577805)Termination reason: Instruction limit
% 2.43/0.73 % (577805)Termination phase: shuffling
% 2.43/0.73 % (577805)Time elapsed: 0.007 s
% 2.43/0.73 % (577805)Peak memory usage: 10 MB
% 2.43/0.73 % (577805)Instructions burned: 15 (million)
% 2.43/0.73 % (577714)Instruction limit reached!
% 2.43/0.73 % (577714)------------------------------
% 2.43/0.73 % (577714)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577714)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577714)Termination reason: Instruction limit
% 2.43/0.73 % (577714)Termination phase: Saturation
% 2.43/0.73 % (577714)Time elapsed: 0.329 s
% 2.43/0.73 % (577714)Peak memory usage: 17 MB
% 2.43/0.73 % (577714)Instructions burned: 634 (million)
% 2.43/0.73 % (577803)Instruction limit reached!
% 2.43/0.73 % (577803)------------------------------
% 2.43/0.73 % (577803)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577803)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577803)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577803)Termination reason: Instruction limit
% 2.43/0.73 % (577803)Termination phase: Saturation
% 2.43/0.73 % (577803)Time elapsed: 0.046 s
% 2.43/0.73 % (577803)Peak memory usage: 14 MB
% 2.43/0.73 % (577803)Instructions burned: 200 (million)
% 2.43/0.73 % (577807)lrs+1010_1_anc=none:slsqr=1,2:sil=128000:cnfonf=conj_eager:sas=cadical:si=on:hi=on:uwa=one_side_interpreted:rp=on:nwc=2:slsqc=3:slsq=on:random_seed=1550785376:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 2.43/0.73 % (577808)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=1695863045:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 2.43/0.73 % (577809)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2929130571:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 2.43/0.73 % (577808)Instruction limit reached!
% 2.43/0.73 % (577808)------------------------------
% 2.43/0.73 % (577808)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577808)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577808)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577808)Termination reason: Instruction limit
% 2.43/0.73 % (577808)Termination phase: Preprocessing 1
% 2.43/0.73 % (577808)Time elapsed: 0.012 s
% 2.43/0.73 % (577808)Peak memory usage: 11 MB
% 2.43/0.73 % (577808)Instructions burned: 52 (million)
% 2.43/0.73 % (577813)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=2730333336:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 2.43/0.73 % (577809)Instruction limit reached!
% 2.43/0.73 % (577809)------------------------------
% 2.43/0.73 % (577809)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577809)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577809)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577809)Termination reason: Instruction limit
% 2.43/0.73 % (577809)Termination phase: shuffling
% 2.43/0.73 % (577809)Time elapsed: 0.014 s
% 2.43/0.73 % (577809)Peak memory usage: 10 MB
% 2.43/0.73 % (577809)Instructions burned: 32 (million)
% 2.43/0.73 % (577807)Instruction limit reached!
% 2.43/0.73 % (577807)------------------------------
% 2.43/0.73 % (577807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577807)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577807)Termination reason: Instruction limit
% 2.43/0.73 % (577807)Termination phase: Property scanning
% 2.43/0.73 % (577807)Time elapsed: 0.029 s
% 2.43/0.73 % (577807)Peak memory usage: 12 MB
% 2.43/0.73 % (577807)Instructions burned: 67 (million)
% 2.43/0.73 % (577770) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-577706-577770"...
% 2.43/0.73 % (577770)...printing done.
% 2.43/0.73 % (577770)Refutation found. Thanks to Tanya!
% 2.43/0.73 % SZS status Theorem for theBenchmark
% 2.43/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.43/0.73 % (577770)------------------------------
% 2.43/0.73 % (577770)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.43/0.73 % (577770)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.43/0.73 % (577770)CaDiCaL version: 2.1.3
% 2.43/0.73 % (577770)Termination reason: Refutation
% 2.43/0.73 % (577770)Time elapsed: 0.224 s
% 2.43/0.73 % (577770)Peak memory usage: 16 MB
% 2.43/0.73 % (577770)Instructions burned: 475 (million)
% 2.43/0.73 % (577706)Success in time 0.437 s
% 2.43/0.73 % Vampire exiting
%------------------------------------------------------------------------------