%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP042^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 08:08:05 AM UTC 2026
% Result : Theorem 3.00s 0.81s
% Output : Refutation 3.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 17 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 100 ( 33 equ; 0 cnn)
% Maximal formula atoms : 6 ( 5 avg)
% Number of connectives : 258 ( 8 ~; 2 |; 21 &; 212 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Number of types : 29 ( 28 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 115 ( 111 usr; 14 con; 0-4 aty)
% ( 0 !!; 12 ??; 0 @@+; 0 @@-)
% Number of variables : 52 ( 33 ^; 10 !; 9 ?; 52 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1149990247eal_sz: $tType ).
thf(type_def_6,type,
produc133005365real_b: $tType ).
thf(type_def_7,type,
bounde472938360z_real: $tType ).
thf(type_def_8,type,
set_De208295462t_unit: $tType ).
thf(type_def_9,type,
set_De153000604t_unit: $tType ).
thf(type_def_10,type,
denota610675952t_unit: $tType ).
thf(type_def_11,type,
denota723907260t_unit: $tType ).
thf(type_def_12,type,
set_Su111624115um_c_b: $tType ).
thf(type_def_13,type,
set_Fi291318197eal_sz: $tType ).
thf(type_def_14,type,
set_Fi268318752real_b: $tType ).
thf(type_def_15,type,
freche2095075217_sc_sz: $tType ).
thf(type_def_16,type,
freche1734198479_a_c_b: $tType ).
thf(type_def_17,type,
sum_su1965225555um_c_b: $tType ).
thf(type_def_18,type,
finite824932053eal_sz: $tType ).
thf(type_def_19,type,
finite1390225514real_b: $tType ).
thf(type_def_20,type,
frechet_strm_sf_sz: $tType ).
thf(type_def_21,type,
set_Sum_sum_sz_sz: $tType ).
thf(type_def_22,type,
frechet_strm_a_b: $tType ).
thf(type_def_23,type,
set_Sum_sum_b_b: $tType ).
thf(type_def_24,type,
set_trm_sf_sz: $tType ).
thf(type_def_25,type,
set_trm_a_b: $tType ).
thf(type_def_26,type,
sum_sum_b_b: $tType ).
thf(type_def_27,type,
trm_sf_sz: $tType ).
thf(type_def_28,type,
trm_a_b: $tType ).
thf(type_def_29,type,
set_sf: $tType ).
thf(type_def_30,type,
set_a: $tType ).
thf(type_def_31,type,
real: $tType ).
thf(type_def_32,type,
a: $tType ).
thf(type_def_33,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
denota896875430_a_c_b: denota723907260t_unit > denota723907260t_unit > set_Su111624115um_c_b > $o ).
thf(func_def_1,type,
denota1997846517gree_b: produc133005365real_b > produc133005365real_b > set_Sum_sum_b_b > $o ).
thf(func_def_2,type,
denota102713844ree_sz: produc1149990247eal_sz > produc1149990247eal_sz > set_Sum_sum_sz_sz > $o ).
thf(func_def_3,type,
denota102976244t_unit: denota723907260t_unit > a > finite1390225514real_b > real ).
thf(func_def_4,type,
denota1086158987_a_c_b: denota723907260t_unit > $o ).
thf(func_def_5,type,
denota1579475975_sc_sz: denota610675952t_unit > $o ).
thf(func_def_6,type,
denota722380397_a_c_b: denota723907260t_unit > trm_a_b > finite1390225514real_b > real ).
thf(func_def_7,type,
denota1179238309_sc_sz: denota610675952t_unit > trm_sf_sz > finite824932053eal_sz > real ).
thf(func_def_8,type,
freche585307148_sc_sz: freche2095075217_sc_sz > frechet_strm_sf_sz > finite824932053eal_sz > bounde472938360z_real ).
thf(func_def_9,type,
freche58918398_sc_sz: denota610675952t_unit > freche2095075217_sc_sz > $o ).
thf(func_def_10,type,
frechet_cr_strm_a_b: trm_a_b > frechet_strm_a_b > $o ).
thf(func_def_11,type,
freche1244000341_sf_sz: trm_sf_sz > frechet_strm_sf_sz > $o ).
thf(func_def_12,type,
freche153761090_a_c_b: denota723907260t_unit > freche1734198479_a_c_b ).
thf(func_def_13,type,
freche1784963216_sc_sz: denota610675952t_unit > freche2095075217_sc_sz ).
thf(func_def_14,type,
freche288321865_a_c_b: freche1734198479_a_c_b > denota723907260t_unit ).
thf(func_def_15,type,
freche1421597129_sc_sz: freche2095075217_sc_sz > denota610675952t_unit ).
thf(func_def_16,type,
frechet_raw_term_a_b: frechet_strm_a_b > trm_a_b ).
thf(func_def_17,type,
freche782854530_sf_sz: frechet_strm_sf_sz > trm_sf_sz ).
thf(func_def_18,type,
freche665377491rm_a_b: trm_a_b > frechet_strm_a_b ).
thf(func_def_19,type,
freche1046279700_sf_sz: trm_sf_sz > frechet_strm_sf_sz ).
thf(func_def_20,type,
if_Bou1785791806z_real: $o > bounde472938360z_real > bounde472938360z_real > bounde472938360z_real ).
thf(func_def_21,type,
sup_su1211201046_c_b_o: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b > $o ).
thf(func_def_22,type,
sup_su2024788734_b_b_o: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > sum_sum_b_b > $o ).
thf(func_def_23,type,
sup_sup_a_o: ( a > $o ) > ( a > $o ) > a > $o ).
thf(func_def_24,type,
sup_sup_o: $o > $o > $o ).
thf(func_def_25,type,
sup_su2133361046real_b: finite1390225514real_b > finite1390225514real_b > finite1390225514real_b ).
thf(func_def_26,type,
sup_su1581595657real_b: produc133005365real_b > produc133005365real_b > produc133005365real_b ).
thf(func_def_27,type,
sup_su1321388937eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > set_Fi291318197eal_sz ).
thf(func_def_28,type,
sup_su296826759um_c_b: set_Su111624115um_c_b > set_Su111624115um_c_b > set_Su111624115um_c_b ).
thf(func_def_29,type,
sup_su2137030215um_b_b: set_Sum_sum_b_b > set_Sum_sum_b_b > set_Sum_sum_b_b ).
thf(func_def_30,type,
sup_su1670953621_sz_sz: set_Sum_sum_sz_sz > set_Sum_sum_sz_sz > set_Sum_sum_sz_sz ).
thf(func_def_31,type,
sup_sup_set_a: set_a > set_a > set_a ).
thf(func_def_32,type,
sup_sup_set_sf: set_sf > set_sf > set_sf ).
thf(func_def_33,type,
ord_le1534094666_c_b_o: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > $o ).
thf(func_def_34,type,
ord_le1306331338_b_b_o: ( sum_sum_b_b > $o ) > ( sum_sum_b_b > $o ) > $o ).
thf(func_def_35,type,
ord_less_eq_a_o: ( a > $o ) > ( a > $o ) > $o ).
thf(func_def_36,type,
ord_le767445194real_b: finite1390225514real_b > finite1390225514real_b > $o ).
thf(func_def_37,type,
ord_le793200597real_b: produc133005365real_b > produc133005365real_b > $o ).
thf(func_def_38,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_39,type,
ord_le41263445eal_sz: set_Fi291318197eal_sz > set_Fi291318197eal_sz > $o ).
thf(func_def_40,type,
ord_le1404954451um_c_b: set_Su111624115um_c_b > set_Su111624115um_c_b > $o ).
thf(func_def_41,type,
ord_le412705147um_b_b: set_Sum_sum_b_b > set_Sum_sum_b_b > $o ).
thf(func_def_42,type,
ord_le230080206rm_a_b: set_trm_a_b > set_trm_a_b > $o ).
thf(func_def_43,type,
ord_le1697056455_sf_sz: set_trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_44,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_45,type,
top_to646513176l_sz_o: finite824932053eal_sz > $o ).
thf(func_def_46,type,
top_to1849113498_c_b_o: sum_su1965225555um_c_b > $o ).
thf(func_def_47,type,
top_top_a_o: a > $o ).
thf(func_def_48,type,
top_to502572752real_b: set_Fi268318752real_b ).
thf(func_def_49,type,
top_to1873962757eal_sz: set_Fi291318197eal_sz ).
thf(func_def_50,type,
top_to999478531um_c_b: set_Su111624115um_c_b ).
thf(func_def_51,type,
top_to301096907um_b_b: set_Sum_sum_b_b ).
thf(func_def_52,type,
top_top_set_a: set_a ).
thf(func_def_53,type,
produc936751193real_b: produc133005365real_b > finite1390225514real_b ).
thf(func_def_54,type,
produc1111759555eal_sz: produc1149990247eal_sz > finite824932053eal_sz ).
thf(func_def_55,type,
domain413207655_sc_sz: ( denota610675952t_unit > freche2095075217_sc_sz > $o ) > denota610675952t_unit > $o ).
thf(func_def_56,type,
domain134596861rm_a_b: ( trm_a_b > frechet_strm_a_b > $o ) > trm_a_b > $o ).
thf(func_def_57,type,
domain512309999_sf_sz: ( trm_sf_sz > frechet_strm_sf_sz > $o ) > trm_sf_sz > $o ).
thf(func_def_58,type,
collec944067751t_unit: ( denota723907260t_unit > $o ) > set_De153000604t_unit ).
thf(func_def_59,type,
collec1767975749t_unit: ( denota610675952t_unit > $o ) > set_De208295462t_unit ).
thf(func_def_60,type,
collec1002602816eal_sz: ( finite824932053eal_sz > $o ) > set_Fi291318197eal_sz ).
thf(func_def_61,type,
collec1166375742um_c_b: ( sum_su1965225555um_c_b > $o ) > set_Su111624115um_c_b ).
thf(func_def_62,type,
collect_Sum_sum_b_b: ( sum_sum_b_b > $o ) > set_Sum_sum_b_b ).
thf(func_def_63,type,
collect_trm_a_b: ( trm_a_b > $o ) > set_trm_a_b ).
thf(func_def_64,type,
collect_trm_sf_sz: ( trm_sf_sz > $o ) > set_trm_sf_sz ).
thf(func_def_65,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_66,type,
static_FVT_a_b: trm_a_b > set_Sum_sum_b_b ).
thf(func_def_67,type,
static_FVT_sf_sz: trm_sf_sz > set_Sum_sum_sz_sz ).
thf(func_def_68,type,
static_SIGT_a_b: trm_a_b > set_a ).
thf(func_def_69,type,
static_SIGT_sf_sz: trm_sf_sz > set_sf ).
thf(func_def_70,type,
sum_In811702836um_c_b: a > sum_su1965225555um_c_b ).
thf(func_def_71,type,
dfree_a_b: trm_a_b > $o ).
thf(func_def_72,type,
dfree_sf_sz: trm_sf_sz > $o ).
thf(func_def_73,type,
times_a_b: trm_a_b > trm_a_b > trm_a_b ).
thf(func_def_74,type,
times_sf_sz: trm_sf_sz > trm_sf_sz > trm_sf_sz ).
thf(func_def_75,type,
topolo238266006b_real: set_Fi268318752real_b > ( finite1390225514real_b > real ) > $o ).
thf(func_def_76,type,
topolo885751137z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > bounde472938360z_real ) > $o ).
thf(func_def_77,type,
topolo1348430467z_real: set_Fi291318197eal_sz > ( finite824932053eal_sz > real ) > $o ).
thf(func_def_78,type,
type_d1092523951t_unit: ( freche2095075217_sc_sz > denota610675952t_unit ) > ( denota610675952t_unit > freche2095075217_sc_sz ) > set_De208295462t_unit > $o ).
thf(func_def_79,type,
type_d2045870413rm_a_b: ( frechet_strm_a_b > trm_a_b ) > ( trm_a_b > frechet_strm_a_b ) > set_trm_a_b > $o ).
thf(func_def_80,type,
type_d46389773_sf_sz: ( frechet_strm_sf_sz > trm_sf_sz ) > ( trm_sf_sz > frechet_strm_sf_sz ) > set_trm_sf_sz > $o ).
thf(func_def_81,type,
member122424677t_unit: denota723907260t_unit > set_De153000604t_unit > $o ).
thf(func_def_82,type,
member754147591t_unit: denota610675952t_unit > set_De208295462t_unit > $o ).
thf(func_def_83,type,
member1693951742eal_sz: finite824932053eal_sz > set_Fi291318197eal_sz > $o ).
thf(func_def_84,type,
member973578748um_c_b: sum_su1965225555um_c_b > set_Su111624115um_c_b > $o ).
thf(func_def_85,type,
member_Sum_sum_b_b: sum_sum_b_b > set_Sum_sum_b_b > $o ).
thf(func_def_86,type,
member_trm_a_b: trm_a_b > set_trm_a_b > $o ).
thf(func_def_87,type,
member_trm_sf_sz: trm_sf_sz > set_trm_sf_sz > $o ).
thf(func_def_88,type,
member_a: a > set_a > $o ).
thf(func_def_89,type,
i: denota723907260t_unit ).
thf(func_def_90,type,
j: denota723907260t_unit ).
thf(func_def_91,type,
nu: produc133005365real_b ).
thf(func_def_92,type,
nu2: produc133005365real_b ).
thf(func_def_93,type,
theta_1: trm_a_b ).
thf(func_def_94,type,
theta_2: trm_a_b ).
thf(func_def_98,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_99,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_100,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_101,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_102,type,
vAND: $o > $o > $o ).
thf(func_def_103,type,
vOR: $o > $o > $o ).
thf(func_def_104,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_105,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_106,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_107,type,
vIMP: $o > $o > $o ).
thf(func_def_108,type,
sK0: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(func_def_109,type,
sK1: ( sum_su1965225555um_c_b > $o ) > ( sum_su1965225555um_c_b > $o ) > sum_su1965225555um_c_b ).
thf(func_def_110,type,
vNOT: $o > $o ).
thf(func_def_111,type,
sK2: ( sum_su1965225555um_c_b > $o ) > a ).
thf(func_def_112,type,
sK3: ( sum_su1965225555um_c_b > $o ) > a ).
thf(f1,axiom,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
? [X3: a] :
( ( X2
= ( sum_In811702836um_c_b @ X3 ) )
& ( member_a @ X3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
? [X3: a] :
( ( member_a @ X3 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X2
= ( sum_In811702836um_c_b @ X3 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060And_062J_AI_O_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_ITimes_A_092_060theta_062_092_060_094sub_0621_A_092_060theta_062_092_060_094sub_0622_J_125_A_092_060Longrightarrow_062_AIagree_AI_AJ_A_123Inl_Ax_A_124x_O_Ax_A_092_060in_062_ASIGT_A_092_060theta_062_092_060_094sub_0621_125_092_060close_062) ).
thf(f4,axiom,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( X0
= ( sum_In811702836um_c_b @ X1 ) )
& ( member_a @ X1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_dfree__Times_Oprems_I2_J) ).
thf(f359,conjecture,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f458,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X2: sum_su1965225555um_c_b] :
? [X3: a] :
( ( X2
= ( sum_In811702836um_c_b @ X3 ) )
& ( member_a @ X3 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) )
=> ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [X4: sum_su1965225555um_c_b] :
? [X5: a] :
( ( member_a @ X5 @ ( static_SIGT_a_b @ theta_1 ) )
& ( ( sum_In811702836um_c_b @ X5 )
= X4 ) ) ) ) ),
inference(rectify,[],[f1]) ).
thf(f459,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( ( sum_In811702836um_c_b @ Y1 )
= Y0 ) ) ) ) )
= $true )
=> ( $true
= ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f458]) ).
thf(f646,plain,
~ ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( member_a @ X1 @ ( static_SIGT_a_b @ theta_1 ) )
& ( X0
= ( sum_In811702836um_c_b @ X1 ) ) ) ) ),
inference(rectify,[],[f360]) ).
thf(f647,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(fool_elimination,[],[f646]) ).
thf(f770,plain,
( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [X0: sum_su1965225555um_c_b] :
? [X1: a] :
( ( X0
= ( sum_In811702836um_c_b @ X1 ) )
& ( member_a @ X1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f771,plain,
( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( ( sum_In811702836um_c_b @ Y1 )
= Y0 ) ) ) ) ) ),
inference(fool_elimination,[],[f770]) ).
thf(f900,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(flattening,[],[f647]) ).
thf(f910,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( $true
= ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) )
| ( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( ( sum_In811702836um_c_b @ Y1 )
= Y0 ) ) ) ) )
!= $true ) ),
inference(ennf_transformation,[],[f459]) ).
thf(f933,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f900]) ).
thf(f964,plain,
! [X0: denota723907260t_unit,X1: denota723907260t_unit] :
( ( ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( ( sum_In811702836um_c_b @ Y1 )
= Y0 ) ) ) ) )
!= $true )
| ( $true
= ( denota896875430_a_c_b @ X0 @ X1
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( ( sum_In811702836um_c_b @ Y1 )
= Y0 )
& ( member_a @ Y1 @ ( static_SIGT_a_b @ theta_1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f910]) ).
thf(f969,plain,
( $true
= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( ( sum_In811702836um_c_b @ Y1 )
= Y0 ) ) ) ) ) ),
inference(cnf_transformation,[],[f771]) ).
thf(f1023,plain,
( $true
!= ( denota896875430_a_c_b @ i @ j
@ ( collec1166375742um_c_b
@ ^ [Y0: sum_su1965225555um_c_b] :
( ?? @ a
@ ^ [Y1: a] :
( ( member_a @ Y1 @ ( static_SIGT_a_b @ ( times_a_b @ theta_1 @ theta_2 ) ) )
& ( ( sum_In811702836um_c_b @ Y1 )
= Y0 ) ) ) ) ) ),
inference(unit_resulting_resolution,[],[f964,f933]) ).
thf(f1064,plain,
$false,
inference(forward_subsumption_resolution,[],[f1023,f969]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP042^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n019.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 19:40:48 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running higher-order theorem proving
% 0.21/0.27 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.53/0.42 % (1254390)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.53/0.42 % (1254400)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=874452763:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.53/0.42 % (1254401)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.53/0.42 % (1254401)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
% 0.53/0.42 % (1254398)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=3917568630: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)
% 0.53/0.42 % (1254395)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3500455463:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.53/0.42 % (1254397)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1274270184:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.53/0.42 % (1254399)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=237677271:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.53/0.42 % (1254401)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=4019668857:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.53/0.42 % (1254397)Instruction limit reached!
% 0.53/0.42 % (1254397)------------------------------
% 0.53/0.42 % (1254397)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42 % (1254397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42 % (1254397)CaDiCaL version: 2.1.3
% 0.53/0.42 % (1254397)Termination reason: Instruction limit
% 0.53/0.42 % (1254397)Termination phase: shuffling
% 0.53/0.42 % (1254397)Time elapsed: 0.002 s
% 0.53/0.42 % (1254397)Peak memory usage: 10 MB
% 0.53/0.42 % (1254397)Instructions burned: 4 (million)
% 0.53/0.42 % (1254396)lrs+10_16_si=on:nwc=1.5:random_seed=165803255:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.53/0.42 % (1254400)Instruction limit reached!
% 0.53/0.42 % (1254400)------------------------------
% 0.53/0.42 % (1254400)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42 % (1254400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42 % (1254400)CaDiCaL version: 2.1.3
% 0.53/0.42 % (1254400)Termination reason: Instruction limit
% 0.53/0.42 % (1254400)Termination phase: Function definition elimination
% 0.53/0.42 % (1254400)Time elapsed: 0.019 s
% 0.53/0.42 % (1254400)Peak memory usage: 12 MB
% 0.53/0.42 % (1254400)Instructions burned: 77 (million)
% 0.53/0.42 % (1254399)Instruction limit reached!
% 0.53/0.42 % (1254399)------------------------------
% 0.53/0.42 % (1254399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42 % (1254399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42 % (1254399)CaDiCaL version: 2.1.3
% 0.53/0.42 % (1254399)Termination reason: Instruction limit
% 0.53/0.42 % (1254399)Termination phase: Property scanning
% 0.53/0.42 % (1254399)Time elapsed: 0.012 s
% 0.53/0.42 % (1254399)Peak memory usage: 10 MB
% 0.53/0.42 % (1254399)Instructions burned: 26 (million)
% 0.53/0.42 % (1254410)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=242769295:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.53/0.42 % (1254408)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=169912211:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.42 % (1254396)Instruction limit reached!
% 0.53/0.42 % (1254396)------------------------------
% 0.53/0.42 % (1254396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.42 % (1254396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.42 % (1254396)CaDiCaL version: 2.1.3
% 0.53/0.42 % (1254396)Termination reason: Instruction limit
% 0.53/0.42 % (1254396)Termination phase: Property scanning
% 0.53/0.42 % (1254396)Time elapsed: 0.016 s
% 0.53/0.42 % (1254396)Peak memory usage: 10 MB
% 0.53/0.46 % (1254396)Instructions burned: 18 (million)
% 0.53/0.46 % (1254410)Instruction limit reached!
% 0.53/0.46 % (1254410)------------------------------
% 0.53/0.46 % (1254410)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.46 % (1254410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.46 % (1254410)CaDiCaL version: 2.1.3
% 0.53/0.46 % (1254410)Termination reason: Instruction limit
% 0.53/0.46 % (1254410)Termination phase: shuffling
% 0.53/0.46 % (1254410)Time elapsed: 0.002 s
% 0.53/0.46 % (1254410)Peak memory usage: 10 MB
% 0.53/0.46 % (1254410)Instructions burned: 8 (million)
% 0.53/0.46 % (1254408)Instruction limit reached!
% 0.53/0.46 % (1254408)------------------------------
% 0.53/0.46 % (1254408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.46 % (1254408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.46 % (1254408)CaDiCaL version: 2.1.3
% 0.53/0.46 % (1254408)Termination reason: Instruction limit
% 0.53/0.46 % (1254408)Termination phase: shuffling
% 0.53/0.46 % (1254408)Time elapsed: 0.002 s
% 0.53/0.46 % (1254408)Peak memory usage: 10 MB
% 0.53/0.46 % (1254408)Instructions burned: 3 (million)
% 0.53/0.46 % (1254411)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.46 % (1254411)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2067649832:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.53/0.46 % (1254414)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2934968953:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.53/0.46 % (1254411)Instruction limit reached!
% 0.53/0.46 % (1254411)------------------------------
% 0.53/0.46 % (1254411)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.46 % (1254411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.46 % (1254411)CaDiCaL version: 2.1.3
% 0.53/0.46 % (1254411)Termination reason: Instruction limit
% 0.53/0.46 % (1254411)Termination phase: shuffling
% 0.53/0.46 % (1254411)Time elapsed: 0.004 s
% 0.53/0.46 % (1254411)Peak memory usage: 10 MB
% 0.53/0.46 % (1254411)Instructions burned: 7 (million)
% 0.53/0.46 % (1254395)Instruction limit reached!
% 0.53/0.46 % (1254395)------------------------------
% 0.53/0.46 % (1254395)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.46 % (1254395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.46 % (1254395)CaDiCaL version: 2.1.3
% 0.53/0.46 % (1254395)Termination reason: Instruction limit
% 0.53/0.46 % (1254395)Termination phase: Property scanning
% 0.53/0.46 % (1254395)Time elapsed: 0.040 s
% 0.53/0.46 % (1254395)Peak memory usage: 12 MB
% 0.53/0.46 % (1254395)Instructions burned: 89 (million)
% 0.53/0.46 % (1254414)Instruction limit reached!
% 0.53/0.46 % (1254414)------------------------------
% 0.53/0.46 % (1254414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.46 % (1254414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.46 % (1254414)CaDiCaL version: 2.1.3
% 0.53/0.46 % (1254415)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
% 0.53/0.46 % (1254414)Termination reason: Instruction limit
% 0.53/0.46 % (1254414)Termination phase: shuffling
% 0.53/0.46 % (1254414)Time elapsed: 0.008 s
% 0.53/0.46 % (1254414)Peak memory usage: 10 MB
% 0.53/0.46 % (1254414)Instructions burned: 16 (million)
% 0.53/0.46 % (1254415)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.53/0.46 % (1254415)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1232783205:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.53/0.46 % (1254416)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=2161939900:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.53/0.46 % (1254420)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.53/0.50 % (1254419)lrs+10_1_si=on:cs=on:random_seed=95394869:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.53/0.50 % (1254420)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=3949814668:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.53/0.50 % (1254415)Instruction limit reached!
% 0.53/0.50 % (1254415)------------------------------
% 0.53/0.50 % (1254415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.50 % (1254415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.50 % (1254415)CaDiCaL version: 2.1.3
% 0.53/0.50 % (1254415)Termination reason: Instruction limit
% 0.53/0.50 % (1254415)Termination phase: shuffling
% 0.53/0.50 % (1254415)Time elapsed: 0.013 s
% 0.53/0.50 % (1254415)Peak memory usage: 10 MB
% 0.53/0.50 % (1254415)Instructions burned: 28 (million)
% 0.53/0.50 % (1254420)Instruction limit reached!
% 0.53/0.50 % (1254420)------------------------------
% 0.53/0.50 % (1254420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.50 % (1254420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.50 % (1254420)CaDiCaL version: 2.1.3
% 0.53/0.50 % (1254420)Termination reason: Instruction limit
% 0.53/0.50 % (1254420)Termination phase: shuffling
% 0.53/0.50 % (1254420)Time elapsed: 0.002 s
% 0.53/0.50 % (1254420)Peak memory usage: 10 MB
% 0.53/0.50 % (1254420)Instructions burned: 3 (million)
% 0.53/0.50 % (1254419)Instruction limit reached!
% 0.53/0.50 % (1254419)------------------------------
% 0.53/0.50 % (1254419)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.50 % (1254419)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.50 % (1254419)CaDiCaL version: 2.1.3
% 0.53/0.50 % (1254419)Termination reason: Instruction limit
% 0.53/0.50 % (1254419)Termination phase: shuffling
% 0.53/0.50 % (1254419)Time elapsed: 0.004 s
% 0.53/0.50 % (1254419)Peak memory usage: 10 MB
% 0.53/0.50 % (1254419)Instructions burned: 8 (million)
% 0.53/0.50 % (1254421)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=89027653:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.53/0.50 % (1254416)Instruction limit reached!
% 0.53/0.50 % (1254416)------------------------------
% 0.53/0.50 % (1254416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.50 % (1254416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.50 % (1254416)CaDiCaL version: 2.1.3
% 0.53/0.50 % (1254416)Termination reason: Instruction limit
% 0.53/0.50 % (1254416)Termination phase: Function definition elimination
% 0.53/0.50 % (1254416)Time elapsed: 0.019 s
% 0.53/0.50 % (1254416)Peak memory usage: 11 MB
% 0.53/0.50 % (1254416)Instructions burned: 87 (million)
% 0.53/0.50 % (1254401)Instruction limit reached!
% 0.53/0.50 % (1254401)------------------------------
% 0.53/0.50 % (1254401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.50 % (1254401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.53/0.50 % (1254401)CaDiCaL version: 2.1.3
% 0.53/0.50 % (1254401)Termination reason: Instruction limit
% 0.53/0.50 % (1254401)Termination phase: Saturation
% 0.53/0.50 % (1254401)Time elapsed: 0.068 s
% 0.53/0.50 % (1254401)Peak memory usage: 13 MB
% 0.53/0.50 % (1254401)Instructions burned: 157 (million)
% 0.53/0.50 % (1254430)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3541337656:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.53/0.50 % (1254426)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=4260511265:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.53/0.50 % (1254427)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2310457240:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.53/0.50 % (1254428)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1838161761:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.53/0.50 % (1254421)Instruction limit reached!
% 0.53/0.50 % (1254421)------------------------------
% 0.53/0.50 % (1254421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.53/0.50 % (1254421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.55 % (1254421)CaDiCaL version: 2.1.3
% 1.40/0.55 % (1254421)Termination reason: Instruction limit
% 1.40/0.55 % (1254421)Termination phase: Preprocessing 3
% 1.40/0.55 % (1254421)Time elapsed: 0.019 s
% 1.40/0.55 % (1254421)Peak memory usage: 11 MB
% 1.40/0.55 % (1254421)Instructions burned: 40 (million)
% 1.40/0.55 % (1254431)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2267706022:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.40/0.55 % (1254428)Instruction limit reached!
% 1.40/0.55 % (1254428)------------------------------
% 1.40/0.55 % (1254428)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.55 % (1254428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.55 % (1254428)CaDiCaL version: 2.1.3
% 1.40/0.55 % (1254428)Termination reason: Instruction limit
% 1.40/0.55 % (1254428)Termination phase: shuffling
% 1.40/0.55 % (1254428)Time elapsed: 0.007 s
% 1.40/0.55 % (1254428)Peak memory usage: 10 MB
% 1.40/0.55 % (1254428)Instructions burned: 15 (million)
% 1.40/0.55 % (1254427)Instruction limit reached!
% 1.40/0.55 % (1254427)------------------------------
% 1.40/0.55 % (1254427)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.55 % (1254427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.55 % (1254427)CaDiCaL version: 2.1.3
% 1.40/0.55 % (1254427)Termination reason: Instruction limit
% 1.40/0.55 % (1254427)Termination phase: Property scanning
% 1.40/0.55 % (1254427)Time elapsed: 0.011 s
% 1.40/0.55 % (1254427)Peak memory usage: 10 MB
% 1.40/0.55 % (1254427)Instructions burned: 25 (million)
% 1.40/0.55 % (1254431)Instruction limit reached!
% 1.40/0.55 % (1254431)------------------------------
% 1.40/0.55 % (1254431)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.55 % (1254431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.55 % (1254431)CaDiCaL version: 2.1.3
% 1.40/0.55 % (1254431)Termination reason: Instruction limit
% 1.40/0.55 % (1254431)Termination phase: shuffling
% 1.40/0.55 % (1254431)Time elapsed: 0.007 s
% 1.40/0.55 % (1254431)Peak memory usage: 10 MB
% 1.40/0.55 % (1254431)Instructions burned: 14 (million)
% 1.40/0.55 % (1254436)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=4285280466: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)
% 1.40/0.55 % (1254436)Instruction limit reached!
% 1.40/0.55 % (1254436)------------------------------
% 1.40/0.55 % (1254436)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.55 % (1254436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.55 % (1254436)CaDiCaL version: 2.1.3
% 1.40/0.55 % (1254436)Termination reason: Instruction limit
% 1.40/0.55 % (1254436)Termination phase: shuffling
% 1.40/0.55 % (1254436)Time elapsed: 0.002 s
% 1.40/0.55 % (1254436)Peak memory usage: 10 MB
% 1.40/0.55 % (1254436)Instructions burned: 4 (million)
% 1.40/0.55 % (1254438)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=4283663913:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.40/0.55 % (1254439)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1221767160:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.40/0.55 % (1254440)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4248209807:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.40/0.55 % (1254438)Instruction limit reached!
% 1.40/0.55 % (1254438)------------------------------
% 1.40/0.55 % (1254438)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.55 % (1254438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.40/0.55 % (1254438)CaDiCaL version: 2.1.3
% 1.40/0.55 % (1254438)Termination reason: Instruction limit
% 1.40/0.55 % (1254438)Termination phase: shuffling
% 1.40/0.55 % (1254438)Time elapsed: 0.012 s
% 1.40/0.55 % (1254438)Peak memory usage: 10 MB
% 1.40/0.55 % (1254438)Instructions burned: 27 (million)
% 1.40/0.55 % (1254439)Instruction limit reached!
% 1.40/0.55 % (1254439)------------------------------
% 1.40/0.55 % (1254439)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.40/0.55 % (1254439)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1254439)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1254439)Termination reason: Instruction limit
% 2.11/0.62 % (1254439)Termination phase: Property scanning
% 2.11/0.62 % (1254439)Time elapsed: 0.011 s
% 2.11/0.62 % (1254439)Peak memory usage: 10 MB
% 2.11/0.62 % (1254439)Instructions burned: 25 (million)
% 2.11/0.62 % (1254442)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
% 2.11/0.62 % (1254442)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 2.11/0.62 % (1254446)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 2.11/0.62 % (1254446)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=4128854493:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 2.11/0.62 % (1254447)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=2752845467:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 2.11/0.62 % (1254440)Instruction limit reached!
% 2.11/0.62 % (1254440)------------------------------
% 2.11/0.62 % (1254440)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1254440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1254440)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1254440)Termination reason: Instruction limit
% 2.11/0.62 % (1254440)Termination phase: Property scanning
% 2.11/0.62 % (1254440)Time elapsed: 0.027 s
% 2.11/0.62 % (1254440)Peak memory usage: 11 MB
% 2.11/0.62 % (1254440)Instructions burned: 60 (million)
% 2.11/0.62 % (1254442)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=2724227878:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 2.11/0.62 % (1254446)Instruction limit reached!
% 2.11/0.62 % (1254446)------------------------------
% 2.11/0.62 % (1254446)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1254446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1254446)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1254446)Termination reason: Instruction limit
% 2.11/0.62 % (1254446)Termination phase: shuffling
% 2.11/0.62 % (1254446)Time elapsed: 0.004 s
% 2.11/0.62 % (1254446)Peak memory usage: 10 MB
% 2.11/0.62 % (1254446)Instructions burned: 8 (million)
% 2.11/0.62 % (1254442)Instruction limit reached!
% 2.11/0.62 % (1254442)------------------------------
% 2.11/0.62 % (1254442)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1254442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1254442)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1254442)Termination reason: Instruction limit
% 2.11/0.62 % (1254442)Termination phase: shuffling
% 2.11/0.62 % (1254442)Time elapsed: 0.011 s
% 2.11/0.62 % (1254442)Peak memory usage: 10 MB
% 2.11/0.62 % (1254442)Instructions burned: 17 (million)
% 2.11/0.62 % (1254447)Instruction limit reached!
% 2.11/0.62 % (1254447)------------------------------
% 2.11/0.62 % (1254447)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1254447)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1254447)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1254447)Termination reason: Instruction limit
% 2.11/0.62 % (1254447)Termination phase: shuffling
% 2.11/0.62 % (1254447)Time elapsed: 0.014 s
% 2.11/0.62 % (1254447)Peak memory usage: 11 MB
% 2.11/0.62 % (1254447)Instructions burned: 31 (million)
% 2.11/0.62 % (1254430)Instruction limit reached!
% 2.11/0.62 % (1254430)------------------------------
% 2.11/0.62 % (1254430)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.11/0.62 % (1254430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.11/0.62 % (1254430)CaDiCaL version: 2.1.3
% 2.11/0.62 % (1254430)Termination reason: Instruction limit
% 2.11/0.62 % (1254430)Termination phase: Saturation
% 2.11/0.62 % (1254430)Time elapsed: 0.077 s
% 2.11/0.62 % (1254430)Peak memory usage: 14 MB
% 2.11/0.62 % (1254430)Instructions burned: 329 (million)
% 2.11/0.62 % (1254452)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=3752445131:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 2.31/0.66 % (1254455)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=2898545567:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2997 on theBenchmark for (2997ds/143Mi)
% 2.31/0.66 % (1254450)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3179378066:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 2.31/0.66 % (1254450)Instruction limit reached!
% 2.31/0.66 % (1254450)------------------------------
% 2.31/0.66 % (1254450)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1254450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1254450)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1254450)Termination reason: Instruction limit
% 2.31/0.66 % (1254450)Termination phase: shuffling
% 2.31/0.66 % (1254450)Time elapsed: 0.004 s
% 2.31/0.66 % (1254450)Peak memory usage: 10 MB
% 2.31/0.66 % (1254450)Instructions burned: 8 (million)
% 2.31/0.66 % (1254452)Instruction limit reached!
% 2.31/0.66 % (1254452)------------------------------
% 2.31/0.66 % (1254452)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1254452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1254452)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1254452)Termination reason: Instruction limit
% 2.31/0.66 % (1254452)Termination phase: shuffling
% 2.31/0.66 % (1254452)Time elapsed: 0.010 s
% 2.31/0.66 % (1254452)Peak memory usage: 10 MB
% 2.31/0.66 % (1254452)Instructions burned: 23 (million)
% 2.31/0.66 % (1254454)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=756888272:i=1240:rtra=on:ixr=off_2997 on theBenchmark for (2997ds/1240Mi)
% 2.31/0.66 % (1254453)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=819826520:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2997 on theBenchmark for (2997ds/20Mi)
% 2.31/0.66 % (1254460)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3543231926:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 2.31/0.66 % (1254461)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3000837440:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 2.31/0.66 % (1254453)Instruction limit reached!
% 2.31/0.66 % (1254453)------------------------------
% 2.31/0.66 % (1254453)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1254453)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1254453)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1254453)Termination reason: Instruction limit
% 2.31/0.66 % (1254453)Termination phase: Property scanning
% 2.31/0.66 % (1254453)Time elapsed: 0.009 s
% 2.31/0.66 % (1254453)Peak memory usage: 10 MB
% 2.31/0.66 % (1254453)Instructions burned: 21 (million)
% 2.31/0.66 % (1254455)Instruction limit reached!
% 2.31/0.66 % (1254455)------------------------------
% 2.31/0.66 % (1254455)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1254455)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1254455)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1254455)Termination reason: Instruction limit
% 2.31/0.66 % (1254455)Termination phase: Saturation
% 2.31/0.66 % (1254455)Time elapsed: 0.032 s
% 2.31/0.66 % (1254455)Peak memory usage: 13 MB
% 2.31/0.66 % (1254455)Instructions burned: 143 (million)
% 2.31/0.66 % (1254426)Instruction limit reached!
% 2.31/0.66 % (1254426)------------------------------
% 2.31/0.66 % (1254426)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.31/0.66 % (1254426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.31/0.66 % (1254426)CaDiCaL version: 2.1.3
% 2.31/0.66 % (1254426)Termination reason: Instruction limit
% 2.31/0.66 % (1254426)Termination phase: Saturation
% 2.31/0.66 % (1254426)Time elapsed: 0.126 s
% 2.31/0.66 % (1254426)Peak memory usage: 14 MB
% 2.31/0.66 % (1254426)Instructions burned: 250 (million)
% 2.31/0.66 % (1254466)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1517920199:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 2.31/0.66 % (1254465)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 2.31/0.66 % (1254461)Instruction limit reached!
% 2.31/0.66 % (1254461)------------------------------
% 2.52/0.73 % (1254461)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.73 % (1254461)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.73 % (1254461)CaDiCaL version: 2.1.3
% 2.52/0.73 % (1254461)Termination reason: Instruction limit
% 2.52/0.73 % (1254461)Termination phase: Preprocessing 3
% 2.52/0.73 % (1254461)Time elapsed: 0.019 s
% 2.52/0.73 % (1254461)Peak memory usage: 11 MB
% 2.52/0.73 % (1254461)Instructions burned: 42 (million)
% 2.52/0.73 % (1254465)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=694673341:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 2.52/0.73 % (1254465)Instruction limit reached!
% 2.52/0.73 % (1254465)------------------------------
% 2.52/0.73 % (1254465)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.73 % (1254465)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.73 % (1254465)CaDiCaL version: 2.1.3
% 2.52/0.73 % (1254465)Termination reason: Instruction limit
% 2.52/0.73 % (1254465)Termination phase: shuffling
% 2.52/0.73 % (1254465)Time elapsed: 0.004 s
% 2.52/0.73 % (1254465)Peak memory usage: 10 MB
% 2.52/0.73 % (1254465)Instructions burned: 8 (million)
% 2.52/0.73 % (1254467)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=1825772596: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)
% 2.52/0.73 % (1254471)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1346095895:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 2.52/0.73 % (1254470)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 2.52/0.73 % (1254471)Instruction limit reached!
% 2.52/0.73 % (1254471)------------------------------
% 2.52/0.73 % (1254471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.73 % (1254471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.73 % (1254471)CaDiCaL version: 2.1.3
% 2.52/0.73 % (1254471)Termination reason: Instruction limit
% 2.52/0.73 % (1254471)Termination phase: Property scanning
% 2.52/0.73 % (1254471)Time elapsed: 0.010 s
% 2.52/0.73 % (1254471)Peak memory usage: 10 MB
% 2.52/0.73 % (1254471)Instructions burned: 22 (million)
% 2.52/0.73 % (1254470)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3604973262:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 2.52/0.73 % (1254466)Instruction limit reached!
% 2.52/0.73 % (1254466)------------------------------
% 2.52/0.73 % (1254466)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.73 % (1254466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.73 % (1254466)CaDiCaL version: 2.1.3
% 2.52/0.73 % (1254466)Termination reason: Instruction limit
% 2.52/0.73 % (1254466)Termination phase: Saturation
% 2.52/0.73 % (1254466)Time elapsed: 0.044 s
% 2.52/0.73 % (1254466)Peak memory usage: 14 MB
% 2.52/0.73 % (1254466)Instructions burned: 186 (million)
% 2.52/0.73 % (1254470)Instruction limit reached!
% 2.52/0.73 % (1254470)------------------------------
% 2.52/0.73 % (1254470)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.52/0.73 % (1254470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.73 % (1254470)CaDiCaL version: 2.1.3
% 2.52/0.73 % (1254470)Termination reason: Instruction limit
% 2.52/0.73 % (1254470)Termination phase: shuffling
% 2.52/0.73 % (1254470)Time elapsed: 0.003 s
% 2.52/0.73 % (1254470)Peak memory usage: 10 MB
% 2.52/0.73 % (1254470)Instructions burned: 7 (million)
% 2.52/0.73 % (1254475)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=4017690365:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/316Mi)
% 2.52/0.73 % (1254474)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=243490101:i=19:add=on:rtra=on_2996 on theBenchmark for (2996ds/19Mi)
% 2.52/0.73 % (1254460)Instruction limit reached!
% 2.52/0.73 % (1254460)------------------------------
% 2.52/0.73 % (1254460)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254460)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254460)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254460)Termination reason: Instruction limit
% 3.00/0.81 % (1254460)Termination phase: Saturation
% 3.00/0.81 % (1254460)Time elapsed: 0.089 s
% 3.00/0.81 % (1254460)Peak memory usage: 14 MB
% 3.00/0.81 % (1254460)Instructions burned: 193 (million)
% 3.00/0.81 % (1254474)Instruction limit reached!
% 3.00/0.81 % (1254474)------------------------------
% 3.00/0.81 % (1254474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254474)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254474)Termination reason: Instruction limit
% 3.00/0.81 % (1254474)Termination phase: shuffling
% 3.00/0.81 % (1254474)Time elapsed: 0.015 s
% 3.00/0.81 % (1254474)Peak memory usage: 10 MB
% 3.00/0.81 % (1254474)Instructions burned: 20 (million)
% 3.00/0.81 % (1254398)Instruction limit reached!
% 3.00/0.81 % (1254398)------------------------------
% 3.00/0.81 % (1254398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254398)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254398)Termination reason: Instruction limit
% 3.00/0.81 % (1254398)Termination phase: Saturation
% 3.00/0.81 % (1254398)Time elapsed: 0.287 s
% 3.00/0.81 % (1254398)Peak memory usage: 15 MB
% 3.00/0.81 % (1254398)Instructions burned: 635 (million)
% 3.00/0.81 % (1254478)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=454157640:hsq=on:hsqr=16,1:s2a=on:i=853:add=off:bd=all:nm=64:rtra=on:gtg=position:c=on:ntd=on_2996 on theBenchmark for (2996ds/853Mi)
% 3.00/0.81 % (1254467)Instruction limit reached!
% 3.00/0.81 % (1254467)------------------------------
% 3.00/0.81 % (1254467)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254467)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254467)Termination reason: Instruction limit
% 3.00/0.81 % (1254467)Termination phase: Saturation
% 3.00/0.81 % (1254467)Time elapsed: 0.075 s
% 3.00/0.81 % (1254467)Peak memory usage: 14 MB
% 3.00/0.81 % (1254467)Instructions burned: 171 (million)
% 3.00/0.81 % (1254480)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=440332463:hsq=on:hsqr=16,1:s2a=on:i=45:erml=3:slsql=off:rtra=on:gtg=exists_top:er=filter:ntd=on_2996 on theBenchmark for (2996ds/45Mi)
% 3.00/0.81 % (1254481)lrs+1002_1_sil=128000:fde=unused:e2e=on:si=on:sos=on:uwa=interpreted_only:random_seed=3680820916:i=480:rtra=on_2996 on theBenchmark for (2996ds/480Mi)
% 3.00/0.81 % (1254482)dis+1010_40_sil=128000:si=on:uwa=off:nwc=1:sac=on:chr=on:avsqc=3:random_seed=2028449889: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)
% 3.00/0.81 % (1254485)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(2) has been set then sine_level_split_queue(off) is equal to on
% 3.00/0.81 % (1254482)Instruction limit reached!
% 3.00/0.81 % (1254482)------------------------------
% 3.00/0.81 % (1254482)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254482)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254482)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254482)Termination reason: Instruction limit
% 3.00/0.81 % (1254482)Termination phase: Property scanning
% 3.00/0.81 % (1254482)Time elapsed: 0.010 s
% 3.00/0.81 % (1254482)Peak memory usage: 10 MB
% 3.00/0.81 % (1254482)Instructions burned: 23 (million)
% 3.00/0.81 % (1254485)ott+1002_3_si=on:sp=weighted_frequency:spb=goal:cbe=off:slsqc=2:random_seed=3065090620:cts=off:uwa_fpi=on:i=200:av=off:fsr=off:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/200Mi)
% 3.00/0.81 % (1254480)Instruction limit reached!
% 3.00/0.81 % (1254480)------------------------------
% 3.00/0.81 % (1254480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254480)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254480)Termination reason: Instruction limit
% 3.00/0.81 % (1254480)Termination phase: Property scanning
% 3.00/0.81 % (1254480)Time elapsed: 0.019 s
% 3.00/0.81 % (1254480)Peak memory usage: 10 MB
% 3.00/0.81 % (1254480)Instructions burned: 45 (million)
% 3.00/0.81 % (1254488)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=998862191:s2a=on:i=13:kws=inv_frequency:bd=all:rtra=on_2996 on theBenchmark for (2996ds/13Mi)
% 3.00/0.81 % (1254490)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=3555422645:i=66:s2at=3:nm=2:rtra=on:rawr=on_2996 on theBenchmark for (2996ds/66Mi)
% 3.00/0.81 % (1254475)Instruction limit reached!
% 3.00/0.81 % (1254475)------------------------------
% 3.00/0.81 % (1254475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254475)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254475)Termination reason: Instruction limit
% 3.00/0.81 % (1254475)Termination phase: Saturation
% 3.00/0.81 % (1254475)Time elapsed: 0.075 s
% 3.00/0.81 % (1254475)Peak memory usage: 16 MB
% 3.00/0.81 % (1254475)Instructions burned: 319 (million)
% 3.00/0.81 % (1254488)Instruction limit reached!
% 3.00/0.81 % (1254488)------------------------------
% 3.00/0.81 % (1254488)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254488)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254488)Termination reason: Instruction limit
% 3.00/0.81 % (1254488)Termination phase: shuffling
% 3.00/0.81 % (1254488)Time elapsed: 0.007 s
% 3.00/0.81 % (1254488)Peak memory usage: 10 MB
% 3.00/0.81 % (1254488)Instructions burned: 14 (million)
% 3.00/0.81 % (1254493)lrs+1004_128_si=on:sos=all:uwa=off:random_seed=3937215988:i=51:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/51Mi)
% 3.00/0.81 % (1254494)dis+1002_64_sil=128000:cnfonf=lazy_not_gen_be_off:si=on:cbe=off:uwa=off:nwc=0.5:random_seed=2652453642:i=31:kws=inv_frequency:bd=all:rtra=on:ntd=on_2996 on theBenchmark for (2996ds/31Mi)
% 3.00/0.81 % (1254493)Instruction limit reached!
% 3.00/0.81 % (1254493)------------------------------
% 3.00/0.81 % (1254493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254493)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254493)Termination reason: Instruction limit
% 3.00/0.81 % (1254493)Termination phase: Property scanning
% 3.00/0.81 % (1254493)Time elapsed: 0.012 s
% 3.00/0.81 % (1254493)Peak memory usage: 11 MB
% 3.00/0.81 % (1254493)Instructions burned: 51 (million)
% 3.00/0.81 % (1254490)Instruction limit reached!
% 3.00/0.81 % (1254490)------------------------------
% 3.00/0.81 % (1254490)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254490)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254490)Termination reason: Instruction limit
% 3.00/0.81 % (1254490)Termination phase: SInE selection
% 3.00/0.81 % (1254490)Time elapsed: 0.029 s
% 3.00/0.81 % (1254490)Peak memory usage: 11 MB
% 3.00/0.81 % (1254490)Instructions burned: 67 (million)
% 3.00/0.81 % (1254497)dis+1010_40_to=kbo:tgt=full:fde=unused:si=on:sp=const_frequency:lma=off:cbe=off:uwa=interpreted_only:random_seed=70102458:i=137:kws=precedence:bd=all:rtra=on:c=on:ntd=on_2995 on theBenchmark for (2995ds/137Mi)
% 3.00/0.81 % (1254494)Instruction limit reached!
% 3.00/0.81 % (1254494)------------------------------
% 3.00/0.81 % (1254494)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254494)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254494)Termination reason: Instruction limit
% 3.00/0.81 % (1254494)Termination phase: Property scanning
% 3.00/0.81 % (1254494)Time elapsed: 0.014 s
% 3.00/0.81 % (1254494)Peak memory usage: 11 MB
% 3.00/0.81 % (1254494)Instructions burned: 32 (million)
% 3.00/0.81 % (1254498)dis+10_2_sil=128000:plsq=on:plsqc=1:cnfonf=lazy_pi_sigma_gen:si=on:sp=occurrence:plsqr=5,1:bsr=on:plsql=on:random_seed=302174673:cond=on:i=34:hud=10:nm=10:rtra=on_2995 on theBenchmark for (2995ds/34Mi)
% 3.00/0.81 % (1254500)lrs+1010_1_sil=128000:hsqc=4:si=on:sos=on:random_seed=1970877143:hsq=on:i=67:hsqaw=5:rtra=on:fe=abstraction:ntd=on_2995 on theBenchmark for (2995ds/67Mi)
% 3.00/0.81 % (1254498)Instruction limit reached!
% 3.00/0.81 % (1254498)------------------------------
% 3.00/0.81 % (1254498)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254498)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254498)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254498)Termination reason: Instruction limit
% 3.00/0.81 % (1254498)Termination phase: Property scanning
% 3.00/0.81 % (1254498)Time elapsed: 0.015 s
% 3.00/0.81 % (1254498)Peak memory usage: 11 MB
% 3.00/0.81 % (1254498)Instructions burned: 35 (million)
% 3.00/0.81 % (1254485)Instruction limit reached!
% 3.00/0.81 % (1254485)------------------------------
% 3.00/0.81 % (1254485)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254485)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254485)Termination reason: Instruction limit
% 3.00/0.81 % (1254485)Termination phase: Saturation
% 3.00/0.81 % (1254485)Time elapsed: 0.086 s
% 3.00/0.81 % (1254485)Peak memory usage: 13 MB
% 3.00/0.81 % (1254485)Instructions burned: 202 (million)
% 3.00/0.81 % (1254497)Instruction limit reached!
% 3.00/0.81 % (1254497)------------------------------
% 3.00/0.81 % (1254497)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254497)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254497)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254497)Termination reason: Instruction limit
% 3.00/0.81 % (1254497)Termination phase: Saturation
% 3.00/0.81 % (1254497)Time elapsed: 0.033 s
% 3.00/0.81 % (1254497)Peak memory usage: 13 MB
% 3.00/0.81 % (1254497)Instructions burned: 138 (million)
% 3.00/0.81 % (1254505)lrs+10_7_sil=128000:tgt=full:si=on:lma=off:uwa=off:nwc=1:sac=on:random_seed=3391913115:cond=on:i=96:bd=all:rtra=on_2995 on theBenchmark for (2995ds/96Mi)
% 3.00/0.81 % (1254503)WARNING Broken Constraint: if sine_generality_threshold(60) has been set then sine_selection(off) is not equal to off
% 3.00/0.81 % (1254503)dis+21_1_to=lpo:sil=128000:cnfonf=lazy_not_gen_be_off:si=on:sp=unary_frequency:bsr=on:random_seed=3138840835:i=180:hud=16:bd=all:fsr=off:rtra=on:sgt=60:ntd=on_2995 on theBenchmark for (2995ds/180Mi)
% 3.00/0.81 % (1254500)Instruction limit reached!
% 3.00/0.81 % (1254500)------------------------------
% 3.00/0.81 % (1254500)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254500)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254500)Termination reason: Instruction limit
% 3.00/0.81 % (1254500)Termination phase: Property scanning
% 3.00/0.81 % (1254500)Time elapsed: 0.030 s
% 3.00/0.81 % (1254500)Peak memory usage: 12 MB
% 3.00/0.81 % (1254500)Instructions burned: 68 (million)
% 3.00/0.81 % (1254504)lrs+1002_1_sil=128000:si=on:uwa=off:random_seed=2808328928:st=2:i=246:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/246Mi)
% 3.00/0.81 % (1254505)Instruction limit reached!
% 3.00/0.81 % (1254505)------------------------------
% 3.00/0.81 % (1254505)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254505)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254505)Termination reason: Instruction limit
% 3.00/0.81 % (1254505)Termination phase: Property scanning
% 3.00/0.81 % (1254505)Time elapsed: 0.022 s
% 3.00/0.81 % (1254505)Peak memory usage: 12 MB
% 3.00/0.81 % (1254505)Instructions burned: 100 (million)
% 3.00/0.81 % (1254509)lrs+10_1_sil=128000:si=on:sos=on:urr=on:random_seed=1497228364:i=427:sd=1:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/427Mi)
% 3.00/0.81 % (1254510)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=246180862:st=3:s2a=on:i=874:sd=3:rtra=on:ss=axioms_2995 on theBenchmark for (2995ds/874Mi)
% 3.00/0.81 % (1254509) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1254390-1254509"...
% 3.00/0.81 % (1254509)...printing done.
% 3.00/0.81 % (1254509)Refutation found. Thanks to Tanya!
% 3.00/0.81 % SZS status Theorem for theBenchmark
% 3.00/0.81 % SZS output start Proof for theBenchmark
% See solution above
% 3.00/0.81 % (1254509)------------------------------
% 3.00/0.81 % (1254509)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 3.00/0.81 % (1254509)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.00/0.81 % (1254509)CaDiCaL version: 2.1.3
% 3.00/0.81 % (1254509)Termination reason: Refutation
% 3.00/0.81 % (1254509)Time elapsed: 0.028 s
% 3.00/0.81 % (1254509)Peak memory usage: 13 MB
% 3.00/0.81 % (1254509)Instructions burned: 58 (million)
% 3.00/0.81 % (1254390)Success in time 0.534 s
% 3.00/0.81 % Vampire exiting
%------------------------------------------------------------------------------