%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP134^1 : 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 : n002.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 08:08:29 AM UTC 2026
% Result : Theorem 1.91s 0.58s
% Output : Refutation 1.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 38 ( 14 unt; 0 typ; 2 def)
% Number of atoms : 204 ( 45 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 356 ( 33 ~; 19 |; 13 &; 250 @)
% ( 2 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 18 ( 17 usr)
% Number of type conns : 29 ( 29 >; 0 *; 0 +; 0 <<)
% Number of symbols : 147 ( 143 usr; 8 con; 0-5 aty)
% ( 18 !!; 0 ??; 0 @@+; 0 @@-)
% Number of variables : 77 ( 0 sgn 30 !; 0 ?; 77 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_na1064332610at_nat: $tType ).
thf(type_def_6,type,
set_na1201295426at_nat: $tType ).
thf(type_def_7,type,
set_se1657353at_nat: $tType ).
thf(type_def_8,type,
set_nat_nat_nat_nat: $tType ).
thf(type_def_9,type,
set_nat_nat_nat_nat2: $tType ).
thf(type_def_10,type,
set_nat_nat_nat_nat3: $tType ).
thf(type_def_11,type,
set_nat_nat_nat_nat4: $tType ).
thf(type_def_12,type,
set_nat_nat_nat_nat5: $tType ).
thf(type_def_13,type,
set_set_nat_nat_nat: $tType ).
thf(type_def_14,type,
set_set_nat_nat_nat2: $tType ).
thf(type_def_15,type,
set_nat_nat_nat: $tType ).
thf(type_def_16,type,
set_nat_nat_nat2: $tType ).
thf(type_def_17,type,
set_set_nat_nat: $tType ).
thf(type_def_18,type,
set_nat_nat: $tType ).
thf(type_def_19,type,
set_set_nat: $tType ).
thf(type_def_20,type,
set_nat: $tType ).
thf(type_def_21,type,
nat: $tType ).
thf(type_def_22,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
finite252967095at_nat: set_nat_nat_nat_nat3 > set_se1657353at_nat ).
thf(func_def_1,type,
finite1633036872at_nat: set_nat_nat_nat2 > set_set_nat_nat_nat2 ).
thf(func_def_2,type,
finite90785608at_nat: set_nat_nat_nat > set_set_nat_nat_nat ).
thf(func_def_3,type,
finite_Fpow_nat_nat: set_nat_nat > set_set_nat_nat ).
thf(func_def_4,type,
finite_Fpow_nat: set_nat > set_set_nat ).
thf(func_def_5,type,
finite1526199988at_nat: set_nat_nat_nat_nat5 > $o ).
thf(func_def_6,type,
finite2081887156at_nat: set_nat_nat_nat_nat4 > $o ).
thf(func_def_7,type,
finite1090277411at_nat: set_na1201295426at_nat > $o ).
thf(func_def_8,type,
finite1397812515at_nat: set_na1064332610at_nat > $o ).
thf(func_def_9,type,
finite1064868788at_nat: set_nat_nat_nat_nat3 > $o ).
thf(func_def_10,type,
finite1440337093at_nat: set_nat_nat_nat2 > $o ).
thf(func_def_11,type,
finite584233140at_nat: set_nat_nat_nat_nat2 > $o ).
thf(func_def_12,type,
finite891768244at_nat: set_nat_nat_nat_nat > $o ).
thf(func_def_13,type,
finite2045569477at_nat: set_nat_nat_nat > $o ).
thf(func_def_14,type,
finite570312790at_nat: set_nat_nat > $o ).
thf(func_def_15,type,
finite_finite_nat: set_nat > $o ).
thf(func_def_16,type,
finite547180394at_nat: set_se1657353at_nat > $o ).
thf(func_def_17,type,
finite1977496699at_nat: set_set_nat_nat_nat2 > $o ).
thf(func_def_18,type,
finite137548155at_nat: set_set_nat_nat_nat > $o ).
thf(func_def_19,type,
finite604103692at_nat: set_set_nat_nat > $o ).
thf(func_def_20,type,
finite2012248349et_nat: set_set_nat > $o ).
thf(func_def_21,type,
one_one_nat: nat ).
thf(func_def_22,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_23,type,
zero_zero_nat: nat ).
thf(func_def_24,type,
number1551313001itions: ( nat > nat ) > nat > $o ).
thf(func_def_25,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_26,type,
ord_less_set_nat_nat: set_nat_nat > set_nat_nat > $o ).
thf(func_def_27,type,
ord_le2059018749at_nat: ( ( nat > nat ) > nat > nat ) > ( ( nat > nat ) > nat > nat ) > $o ).
thf(func_def_28,type,
ord_le2026740592_nat_o: ( ( nat > nat ) > $o ) > ( ( nat > nat ) > $o ) > $o ).
thf(func_def_29,type,
ord_le809907342at_nat: ( ( nat > nat ) > nat ) > ( ( nat > nat ) > nat ) > $o ).
thf(func_def_30,type,
ord_le1415139726at_nat: ( nat > nat > nat ) > ( nat > nat > nat ) > $o ).
thf(func_def_31,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(func_def_32,type,
ord_less_eq_nat_nat: ( nat > nat ) > ( nat > nat ) > $o ).
thf(func_def_33,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_34,type,
ord_le2040082867at_nat: set_nat_nat_nat_nat3 > set_nat_nat_nat_nat3 > $o ).
thf(func_def_35,type,
ord_le633272388at_nat: set_nat_nat_nat2 > set_nat_nat_nat2 > $o ).
thf(func_def_36,type,
ord_le940807492at_nat: set_nat_nat_nat > set_nat_nat_nat > $o ).
thf(func_def_37,type,
ord_le1415039317at_nat: set_nat_nat > set_nat_nat > $o ).
thf(func_def_38,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(func_def_39,type,
collec2071977458at_nat: ( ( ( ( nat > nat ) > nat ) > nat ) > $o ) > set_nat_nat_nat_nat5 ).
thf(func_def_40,type,
collec480180978at_nat: ( ( ( nat > nat > nat ) > nat ) > $o ) > set_nat_nat_nat_nat4 ).
thf(func_def_41,type,
collec6783585at_nat: ( ( ( nat > nat ) > ( nat > nat ) > nat ) > $o ) > set_na1201295426at_nat ).
thf(func_def_42,type,
collec314318689at_nat: ( ( ( nat > nat ) > nat > nat > nat ) > $o ) > set_na1064332610at_nat ).
thf(func_def_43,type,
collec1610646258at_nat: ( ( ( nat > nat ) > nat > nat ) > $o ) > set_nat_nat_nat_nat3 ).
thf(func_def_44,type,
collect_nat_nat_nat: ( ( ( nat > nat ) > nat ) > $o ) > set_nat_nat_nat2 ).
thf(func_def_45,type,
collec1130010610at_nat: ( ( nat > ( nat > nat ) > nat ) > $o ) > set_nat_nat_nat_nat2 ).
thf(func_def_46,type,
collec1437545714at_nat: ( ( nat > nat > nat > nat ) > $o ) > set_nat_nat_nat_nat ).
thf(func_def_47,type,
collect_nat_nat_nat2: ( ( nat > nat > nat ) > $o ) > set_nat_nat_nat ).
thf(func_def_48,type,
collect_nat_nat: ( ( nat > nat ) > $o ) > set_nat_nat ).
thf(func_def_49,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(func_def_50,type,
collec1702444712at_nat: ( set_nat_nat_nat_nat3 > $o ) > set_se1657353at_nat ).
thf(func_def_51,type,
collec309745849at_nat: ( set_nat_nat_nat2 > $o ) > set_set_nat_nat_nat2 ).
thf(func_def_52,type,
collec617280953at_nat: ( set_nat_nat_nat > $o ) > set_set_nat_nat_nat ).
thf(func_def_53,type,
collect_set_nat_nat: ( set_nat_nat > $o ) > set_set_nat_nat ).
thf(func_def_54,type,
collect_set_nat: ( set_nat > $o ) > set_set_nat ).
thf(func_def_55,type,
member1128122036at_nat: ( ( nat > nat ) > nat > nat ) > set_nat_nat_nat_nat3 > $o ).
thf(func_def_56,type,
member_nat_nat_nat: ( ( nat > nat ) > nat ) > set_nat_nat_nat2 > $o ).
thf(func_def_57,type,
member_nat_nat_nat2: ( nat > nat > nat ) > set_nat_nat_nat > $o ).
thf(func_def_58,type,
member_nat_nat: ( nat > nat ) > set_nat_nat > $o ).
thf(func_def_59,type,
member_nat: nat > set_nat > $o ).
thf(func_def_60,type,
member_set_nat_nat: set_nat_nat > set_set_nat_nat > $o ).
thf(func_def_61,type,
n: nat ).
thf(func_def_65,type,
vAND: $o > $o > $o ).
thf(func_def_66,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_67,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_68,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_69,type,
vIMP: $o > $o > $o ).
thf(func_def_70,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_71,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_72,type,
vNOT: $o > $o ).
thf(func_def_73,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_74,type,
vOR: $o > $o > $o ).
thf(func_def_75,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_76,type,
sP0: nat > nat > nat > $o ).
thf(func_def_77,type,
sP1: nat > nat > nat > $o ).
thf(func_def_78,type,
sP2: nat > nat > nat > $o ).
thf(func_def_79,type,
sK3: ( nat > set_nat_nat ) > nat ).
thf(func_def_80,type,
sK4: ( nat > set_nat_nat ) > nat ).
thf(func_def_81,type,
sK5: ( nat > nat > $o ) > nat ).
thf(func_def_82,type,
sK6: ( nat > nat > $o ) > nat ).
thf(func_def_83,type,
sK7: ( nat > nat > $o ) > nat ).
thf(func_def_84,type,
sK8: ( nat > nat > $o ) > nat ).
thf(func_def_85,type,
sK9: ( nat > nat > $o ) > nat ).
thf(func_def_86,type,
sK10: ( ( nat > nat ) > $o ) > ( ( nat > nat ) > $o ) > nat > nat ).
thf(func_def_87,type,
sK11: ( nat > nat ) > nat ).
thf(func_def_88,type,
sK12: ( nat > nat ) > nat ).
thf(func_def_89,type,
sK13: ( nat > nat ) > nat ).
thf(func_def_90,type,
sK14: ( nat > nat ) > nat ).
thf(func_def_91,type,
sK15: ( nat > nat ) > nat ).
thf(func_def_92,type,
sK16: ( nat > nat ) > nat ).
thf(func_def_93,type,
sK17: ( nat > set_nat_nat ) > nat ).
thf(func_def_94,type,
sK18: ( nat > set_nat_nat ) > nat ).
thf(func_def_95,type,
sK19: ( nat > nat > $o ) > nat ).
thf(func_def_96,type,
sK20: ( nat > nat > $o ) > nat ).
thf(func_def_97,type,
sK21: ( nat > nat > $o ) > nat ).
thf(func_def_98,type,
sK22: ( nat > nat > $o ) > nat ).
thf(func_def_99,type,
sK23: ( nat > $o ) > nat ).
thf(func_def_100,type,
sK24: nat > ( nat > $o ) > nat ).
thf(func_def_101,type,
sK25: ( nat > set_nat_nat ) > nat ).
thf(func_def_102,type,
sK26: ( nat > set_nat_nat ) > nat ).
thf(func_def_103,type,
sK27: ( nat > ( nat > nat ) > $o ) > set_nat > set_nat_nat > nat ).
thf(func_def_104,type,
sK28: ( nat > ( nat > nat ) > $o ) > set_nat > set_nat_nat > nat > nat ).
thf(func_def_105,type,
sK29: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_106,type,
sK30: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_107,type,
sK31: ( ( nat > nat ) > $o ) > ( ( nat > nat ) > $o ) > nat > nat ).
thf(func_def_108,type,
sK32: ( ( nat > nat ) > ( ( nat > nat ) > nat ) > $o ) > set_nat_nat_nat2 > set_nat_nat > nat > nat ).
thf(func_def_109,type,
sK33: ( ( nat > nat ) > ( ( nat > nat ) > nat ) > $o ) > set_nat_nat_nat2 > set_nat_nat > ( nat > nat ) > nat ).
thf(func_def_110,type,
sK34: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_111,type,
sK35: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_112,type,
sK36: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_113,type,
sK37: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_114,type,
sK38: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_115,type,
sK39: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_116,type,
sK40: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_117,type,
sK41: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_118,type,
sK42: ( nat > $o ) > nat ).
thf(func_def_119,type,
sK43: nat > ( nat > $o ) > nat ).
thf(func_def_120,type,
sK44: ( ( nat > nat ) > $o ) > nat > nat ).
thf(func_def_121,type,
sK45: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_122,type,
sK46: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_123,type,
sK47: ( ( nat > nat ) > $o ) > set_nat_nat > ( ( nat > nat ) > $o ) > nat > nat ).
thf(func_def_124,type,
sK48: ( ( nat > nat ) > nat > $o ) > set_nat > set_nat_nat > nat ).
thf(func_def_125,type,
sK49: ( ( nat > nat ) > nat > $o ) > set_nat > set_nat_nat > nat > nat ).
thf(func_def_126,type,
sK50: set_nat_nat > ( ( nat > nat ) > ( nat > nat ) > $o ) > set_nat_nat > nat > nat ).
thf(func_def_127,type,
sK51: set_nat_nat > ( ( nat > nat ) > ( nat > nat ) > $o ) > set_nat_nat > nat > nat ).
thf(func_def_128,type,
sK52: nat > nat > nat ).
thf(func_def_129,type,
sK53: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_130,type,
sK54: ( set_nat_nat > set_nat_nat ) > set_nat_nat ).
thf(func_def_131,type,
sK55: nat > nat > nat ).
thf(func_def_132,type,
sK56: ( nat > nat ) > nat ).
thf(func_def_133,type,
sK57: ( nat > nat ) > nat ).
thf(func_def_134,type,
sK58: set_nat_nat > set_nat_nat > nat > nat ).
thf(func_def_135,type,
sK59: set_nat_nat > ( ( nat > nat ) > ( nat > nat > nat ) > $o ) > set_nat_nat_nat > nat > nat ).
thf(func_def_136,type,
sK60: set_nat_nat > ( ( nat > nat ) > ( nat > nat > nat ) > $o ) > set_nat_nat_nat > nat > nat > nat ).
thf(func_def_137,type,
sK61: ( nat > set_nat_nat ) > nat ).
thf(func_def_138,type,
sK62: ( nat > set_nat_nat ) > nat ).
thf(func_def_139,type,
sK63: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_140,type,
sK64: ( set_nat_nat > nat ) > set_nat_nat ).
thf(func_def_141,type,
sK65: ( ( nat > nat ) > $o ) > ( ( nat > nat ) > $o ) > nat > nat ).
thf(func_def_142,type,
sK66: set_nat_nat > ( ( nat > nat ) > $o ) > nat > nat ).
thf(f2,axiom,
( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [X0: nat > nat] : ( number1551313001itions @ X0 @ n ) )
@ ( collect_nat_nat
@ ^ [X1: nat > nat] :
( ! [X2: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ X2 )
=> ( ( X1 @ X2 )
= zero_zero_nat ) )
& ! [X2: nat] : ( ord_less_eq_nat @ ( X1 @ X2 ) @ n ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062_123p_O_Ap_Apartitions_An_125_A_092_060subseteq_062_A_123f_O_A_I_092_060forall_062i_O_Af_Ai_A_092_060le_062_An_J_A_092_060and_062_A_I_092_060forall_062i_092_060ge_062n_A_L_A1_O_Af_Ai_A_061_A0_J_125_092_060close_062) ).
thf(f45,axiom,
! [X1: nat,X0: nat] :
( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [X2: nat > nat] :
( ! [X3: nat] :
( ( ord_less_eq_nat @ X1 @ X3 )
=> ( ( X2 @ X3 )
= zero_zero_nat ) )
& ! [X3: nat] : ( ord_less_eq_nat @ ( X2 @ X3 ) @ X0 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_bound__domain__and__range__impl__finitely__many__functions) ).
thf(f68,axiom,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ord_le1415039317at_nat @ X0 @ X1 )
=> ( ~ ( finite570312790at_nat @ X0 )
=> ~ ( finite570312790at_nat @ X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_infinite__super) ).
thf(f350,conjecture,
( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [X0: nat > nat] : ( number1551313001itions @ X0 @ n ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f351,negated_conjecture,
~ ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [X0: nat > nat] : ( number1551313001itions @ X0 @ n ) ) ),
inference(negated_conjecture,[status(cth)],[f350]) ).
thf(f533,plain,
! [X0: nat,X1: nat] :
( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [X2: nat > nat] :
( ! [X3: nat] :
( ( ord_less_eq_nat @ X0 @ X3 )
=> ( ( X2 @ X3 )
= zero_zero_nat ) )
& ! [X4: nat] : ( ord_less_eq_nat @ ( X2 @ X4 ) @ X1 ) ) ) ),
inference(rectify,[],[f45]) ).
thf(f534,plain,
! [X0: nat,X1: nat] :
( $true
= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ X1 ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ X0 @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f533]) ).
thf(f565,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ord_le1415039317at_nat @ X0 @ X1 )
=> ( ~ ( finite570312790at_nat @ X0 )
=> ~ ( finite570312790at_nat @ X1 ) ) ),
inference(rectify,[],[f68]) ).
thf(f566,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ( ord_le1415039317at_nat @ X0 @ X1 )
= $true )
=> ( ( ( finite570312790at_nat @ X0 )
!= $true )
=> ( ( finite570312790at_nat @ X1 )
!= $true ) ) ),
inference(fool_elimination,[],[f565]) ).
thf(f820,plain,
~ ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [X0: nat > nat] : ( number1551313001itions @ X0 @ n ) ) ),
inference(rectify,[],[f351]) ).
thf(f821,plain,
( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) ),
inference(fool_elimination,[],[f820]) ).
thf(f877,plain,
( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [X0: nat > nat] : ( number1551313001itions @ X0 @ n ) )
@ ( collect_nat_nat
@ ^ [X1: nat > nat] :
( ! [X2: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ X2 )
=> ( ( X1 @ X2 )
= zero_zero_nat ) )
& ! [X3: nat] : ( ord_less_eq_nat @ ( X1 @ X3 ) @ n ) ) ) ),
inference(rectify,[],[f2]) ).
thf(f878,plain,
( $true
= ( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) )
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(fool_elimination,[],[f877]) ).
thf(f956,plain,
( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) ),
inference(flattening,[],[f821]) ).
thf(f977,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ( ord_le1415039317at_nat @ X0 @ X1 )
= $true )
=> ( ( ( finite570312790at_nat @ X0 )
!= $true )
=> ( ( finite570312790at_nat @ X1 )
!= $true ) ) ),
inference(flattening,[],[f566]) ).
thf(f1083,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ( finite570312790at_nat @ X1 )
!= $true )
| ( ( finite570312790at_nat @ X0 )
= $true )
| ( ( ord_le1415039317at_nat @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f977]) ).
thf(f1084,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ( ord_le1415039317at_nat @ X0 @ X1 )
!= $true )
| ( ( finite570312790at_nat @ X1 )
!= $true )
| ( ( finite570312790at_nat @ X0 )
= $true ) ),
inference(flattening,[],[f1083]) ).
thf(f1386,plain,
! [X0: set_nat_nat,X1: set_nat_nat] :
( ( ( ord_le1415039317at_nat @ X0 @ X1 )
!= $true )
| ( ( finite570312790at_nat @ X0 )
= $true )
| ( ( finite570312790at_nat @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f1084]) ).
thf(f1399,plain,
! [X0: nat,X1: nat] :
( $true
= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ X1 ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ X0 @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f534]) ).
thf(f1429,plain,
( $true
= ( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) )
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) ),
inference(cnf_transformation,[],[f878]) ).
thf(f1495,plain,
( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) ),
inference(cnf_transformation,[],[f956]) ).
thf(f1792,definition,
( spl67_6
<=> ( $true
= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl67_6])],[avatar_definition]) ).
thf(f1794,plain,
( ( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) )
| spl67_6 ),
inference(avatar_component_clause,[],[f1792]) ).
thf(f1795,plain,
~ spl67_6,
inference(avatar_split_clause,[],[f1495,f1792]) ).
thf(f1802,definition,
( spl67_8
<=> ( $true
= ( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) )
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[spl67_8])],[avatar_definition]) ).
thf(f1804,plain,
( ( $true
= ( ord_le1415039317at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) )
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl67_8 ),
inference(avatar_component_clause,[],[f1802]) ).
thf(f1805,plain,
spl67_8,
inference(avatar_split_clause,[],[f1429,f1802]) ).
thf(f2103,plain,
( ( $true
= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) )
| ( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) )
| ( $true != $true )
| ~ spl67_8 ),
inference(superposition,[],[f1386,f1804]) ).
thf(f2104,plain,
( ( $true
= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] : ( number1551313001itions @ Y0 @ n ) ) ) )
| ( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) )
| ~ spl67_8 ),
inference(trivial_inequality_removal,[],[f2103]) ).
thf(f2105,plain,
( ( $true
!= ( finite570312790at_nat
@ ( collect_nat_nat
@ ^ [Y0: nat > nat] :
( ( !! @ nat
@ ^ [Y1: nat] : ( ord_less_eq_nat @ ( Y0 @ Y1 ) @ n ) )
& ( !! @ nat
@ ^ [Y1: nat] :
( ( ord_less_eq_nat @ ( plus_plus_nat @ n @ one_one_nat ) @ Y1 )
=> ( zero_zero_nat
= ( Y0 @ Y1 ) ) ) ) ) ) ) )
| spl67_6
| ~ spl67_8 ),
inference(forward_subsumption_resolution,[],[f2104,f1794]) ).
thf(f2106,plain,
( $false
| spl67_6
| ~ spl67_8 ),
inference(forward_subsumption_resolution,[],[f2105,f1399]) ).
thf(f2107,plain,
( spl67_6
| ~ spl67_8 ),
inference(avatar_contradiction_clause,[],[f2106]) ).
cnf(s9,plain,
~ spl67_6,
inference(sat_conversion,[],[f1795]) ).
cnf(s11,plain,
spl67_8,
inference(sat_conversion,[],[f1805]) ).
cnf(s15,plain,
( spl67_6
| ~ spl67_8 ),
inference(sat_conversion,[],[f2107]) ).
cnf(s16,plain,
spl67_6,
inference(rat,[],[s15,s11]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s9,s16]) ).
thf(f2108,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP134^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.20 % Computer : n002.cluster.edu
% 0.10/0.20 % Model : x86_64 x86_64
% 0.10/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.20 % Memory : 8046.5625MB
% 0.10/0.20 % OS : Linux 6.8.0-71-generic
% 0.10/0.20 % CPULimit : 300
% 0.10/0.20 % WCLimit : 300
% 0.10/0.20 % DateTime : Tue Sep 29 20:01:08 UTC 2026
% 0.10/0.21 % CPUTime :
% 0.10/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.24 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
% 0.58/0.42 % (1774542)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.58/0.42 % (1774551)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=138765412:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.58/0.42 % (1774553)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.58/0.42 % (1774553)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
% 0.58/0.42 % (1774551)Instruction limit reached!
% 0.58/0.42 % (1774551)------------------------------
% 0.58/0.42 % (1774551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1774551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1774551)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1774551)Termination reason: Instruction limit
% 0.58/0.42 % (1774551)Termination phase: shuffling
% 0.58/0.42 % (1774551)Time elapsed: 0.006 s
% 0.58/0.42 % (1774551)Peak memory usage: 10 MB
% 0.58/0.42 % (1774551)Instructions burned: 26 (million)
% 0.58/0.42 % (1774547)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1151845820:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.58/0.42 % (1774548)lrs+10_16_si=on:nwc=1.5:random_seed=3268811560:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.58/0.42 % (1774549)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1905373961:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.58/0.42 % (1774550)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=1861408400: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)
% 0.58/0.42 % (1774552)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2218951134:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.58/0.42 % (1774553)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=2269341784:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.58/0.42 % (1774549)Instruction limit reached!
% 0.58/0.42 % (1774549)------------------------------
% 0.58/0.42 % (1774549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1774549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1774549)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1774549)Termination reason: Instruction limit
% 0.58/0.42 % (1774549)Termination phase: shuffling
% 0.58/0.42 % (1774549)Time elapsed: 0.003 s
% 0.58/0.42 % (1774549)Peak memory usage: 10 MB
% 0.58/0.42 % (1774549)Instructions burned: 6 (million)
% 0.58/0.42 % (1774548)Instruction limit reached!
% 0.58/0.42 % (1774548)------------------------------
% 0.58/0.42 % (1774548)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1774548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1774548)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1774548)Termination reason: Instruction limit
% 0.58/0.42 % (1774548)Termination phase: shuffling
% 0.58/0.42 % (1774548)Time elapsed: 0.009 s
% 0.58/0.42 % (1774548)Peak memory usage: 10 MB
% 0.58/0.42 % (1774548)Instructions burned: 19 (million)
% 0.58/0.42 % (1774557)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=3769934686:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.58/0.42 % (1774557)Instruction limit reached!
% 0.58/0.42 % (1774557)------------------------------
% 0.58/0.42 % (1774557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.42 % (1774557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.42 % (1774557)CaDiCaL version: 2.1.3
% 0.58/0.42 % (1774557)Termination reason: Instruction limit
% 0.58/0.42 % (1774557)Termination phase: shuffling
% 0.58/0.42 % (1774557)Time elapsed: 0.001 s
% 0.58/0.42 % (1774557)Peak memory usage: 10 MB
% 0.58/0.42 % (1774557)Instructions burned: 3 (million)
% 0.58/0.42 % (1774564)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.45 % (1774564)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2776786254:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.58/0.45 % (1774564)Instruction limit reached!
% 0.58/0.45 % (1774564)------------------------------
% 0.58/0.45 % (1774564)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.45 % (1774564)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.45 % (1774564)CaDiCaL version: 2.1.3
% 0.58/0.45 % (1774564)Termination reason: Instruction limit
% 0.58/0.45 % (1774564)Termination phase: shuffling
% 0.58/0.45 % (1774564)Time elapsed: 0.002 s
% 0.58/0.45 % (1774564)Peak memory usage: 10 MB
% 0.58/0.45 % (1774564)Instructions burned: 9 (million)
% 0.58/0.45 % (1774562)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1910224373:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.58/0.45 % (1774562)Instruction limit reached!
% 0.58/0.45 % (1774562)------------------------------
% 0.58/0.45 % (1774562)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.45 % (1774562)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.45 % (1774562)CaDiCaL version: 2.1.3
% 0.58/0.45 % (1774562)Termination reason: Instruction limit
% 0.58/0.45 % (1774562)Termination phase: shuffling
% 0.58/0.45 % (1774562)Time elapsed: 0.004 s
% 0.58/0.45 % (1774562)Peak memory usage: 10 MB
% 0.58/0.45 % (1774562)Instructions burned: 6 (million)
% 0.58/0.45 % (1774570)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
% 0.58/0.45 % (1774570)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.58/0.45 % (1774565)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2545446017:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.58/0.45 % (1774570)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=528891797:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.58/0.45 % (1774552)Instruction limit reached!
% 0.58/0.45 % (1774552)------------------------------
% 0.58/0.45 % (1774552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.45 % (1774552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.45 % (1774552)CaDiCaL version: 2.1.3
% 0.58/0.45 % (1774552)Termination reason: Instruction limit
% 0.58/0.45 % (1774552)Termination phase: Property scanning
% 0.58/0.45 % (1774552)Time elapsed: 0.037 s
% 0.58/0.45 % (1774552)Peak memory usage: 12 MB
% 0.58/0.45 % (1774552)Instructions burned: 76 (million)
% 0.58/0.45 % (1774547)Instruction limit reached!
% 0.58/0.45 % (1774547)------------------------------
% 0.58/0.45 % (1774547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.45 % (1774547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.45 % (1774547)CaDiCaL version: 2.1.3
% 0.58/0.45 % (1774547)Termination reason: Instruction limit
% 0.58/0.45 % (1774547)Termination phase: Property scanning
% 0.58/0.45 % (1774547)Time elapsed: 0.041 s
% 0.58/0.45 % (1774547)Peak memory usage: 12 MB
% 0.58/0.45 % (1774547)Instructions burned: 89 (million)
% 0.58/0.45 % (1774570)Instruction limit reached!
% 0.58/0.45 % (1774570)------------------------------
% 0.58/0.45 % (1774570)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.45 % (1774570)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.45 % (1774570)CaDiCaL version: 2.1.3
% 0.58/0.45 % (1774570)Termination reason: Instruction limit
% 0.58/0.45 % (1774570)Termination phase: shuffling
% 0.58/0.45 % (1774570)Time elapsed: 0.008 s
% 0.58/0.45 % (1774570)Peak memory usage: 10 MB
% 0.58/0.45 % (1774570)Instructions burned: 32 (million)
% 0.58/0.45 % (1774565)Instruction limit reached!
% 0.58/0.45 % (1774565)------------------------------
% 0.58/0.45 % (1774565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.58/0.45 % (1774565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.58/0.45 % (1774565)CaDiCaL version: 2.1.3
% 0.58/0.45 % (1774565)Termination reason: Instruction limit
% 1.30/0.48 % (1774565)Termination phase: shuffling
% 1.30/0.48 % (1774565)Time elapsed: 0.010 s
% 1.30/0.48 % (1774565)Peak memory usage: 10 MB
% 1.30/0.48 % (1774565)Instructions burned: 14 (million)
% 1.30/0.48 % (1774574)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=1403714418:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.30/0.48 % (1774584)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=4053573968:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 1.30/0.48 % (1774582)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.30/0.48 % (1774580)lrs+10_1_si=on:cs=on:random_seed=755798486:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.30/0.48 % (1774582)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=2350463811:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 1.30/0.48 % (1774580)Instruction limit reached!
% 1.30/0.48 % (1774580)------------------------------
% 1.30/0.48 % (1774580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.48 % (1774580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.48 % (1774580)CaDiCaL version: 2.1.3
% 1.30/0.48 % (1774580)Termination reason: Instruction limit
% 1.30/0.48 % (1774580)Termination phase: shuffling
% 1.30/0.48 % (1774580)Time elapsed: 0.004 s
% 1.30/0.48 % (1774580)Peak memory usage: 10 MB
% 1.30/0.48 % (1774580)Instructions burned: 8 (million)
% 1.30/0.48 % (1774582)Instruction limit reached!
% 1.30/0.48 % (1774582)------------------------------
% 1.30/0.48 % (1774582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.48 % (1774582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.48 % (1774582)CaDiCaL version: 2.1.3
% 1.30/0.48 % (1774582)Termination reason: Instruction limit
% 1.30/0.48 % (1774582)Termination phase: shuffling
% 1.30/0.48 % (1774582)Time elapsed: 0.002 s
% 1.30/0.48 % (1774582)Peak memory usage: 10 MB
% 1.30/0.48 % (1774582)Instructions burned: 3 (million)
% 1.30/0.48 % (1774584)Instruction limit reached!
% 1.30/0.48 % (1774584)------------------------------
% 1.30/0.48 % (1774584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.48 % (1774584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.48 % (1774584)CaDiCaL version: 2.1.3
% 1.30/0.48 % (1774584)Termination reason: Instruction limit
% 1.30/0.48 % (1774584)Termination phase: Property scanning
% 1.30/0.48 % (1774584)Time elapsed: 0.009 s
% 1.30/0.48 % (1774584)Peak memory usage: 10 MB
% 1.30/0.48 % (1774584)Instructions burned: 40 (million)
% 1.30/0.48 % (1774585)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2791094773:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 1.30/0.48 % (1774553)Instruction limit reached!
% 1.30/0.48 % (1774553)------------------------------
% 1.30/0.48 % (1774553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.48 % (1774553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.48 % (1774553)CaDiCaL version: 2.1.3
% 1.30/0.48 % (1774553)Termination reason: Instruction limit
% 1.30/0.48 % (1774553)Termination phase: Saturation
% 1.30/0.48 % (1774553)Time elapsed: 0.070 s
% 1.30/0.48 % (1774553)Peak memory usage: 14 MB
% 1.30/0.48 % (1774553)Instructions burned: 159 (million)
% 1.30/0.48 % (1774602)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3282541399:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.30/0.48 % (1774598)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3417150023:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.30/0.48 % (1774599)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=515990231:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.30/0.48 % (1774599)Instruction limit reached!
% 1.30/0.48 % (1774599)------------------------------
% 1.30/0.48 % (1774599)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.48 % (1774599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.52 % (1774599)CaDiCaL version: 2.1.3
% 1.30/0.52 % (1774599)Termination reason: Instruction limit
% 1.30/0.52 % (1774599)Termination phase: shuffling
% 1.30/0.52 % (1774599)Time elapsed: 0.007 s
% 1.30/0.52 % (1774599)Peak memory usage: 10 MB
% 1.30/0.52 % (1774599)Instructions burned: 15 (million)
% 1.30/0.52 % (1774574)Instruction limit reached!
% 1.30/0.52 % (1774574)------------------------------
% 1.30/0.52 % (1774574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.52 % (1774574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.52 % (1774574)CaDiCaL version: 2.1.3
% 1.30/0.52 % (1774574)Termination reason: Instruction limit
% 1.30/0.52 % (1774574)Termination phase: Property scanning
% 1.30/0.52 % (1774574)Time elapsed: 0.037 s
% 1.30/0.52 % (1774574)Peak memory usage: 11 MB
% 1.30/0.52 % (1774574)Instructions burned: 88 (million)
% 1.30/0.52 % (1774606)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1052907305:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.30/0.52 % (1774598)Instruction limit reached!
% 1.30/0.52 % (1774598)------------------------------
% 1.30/0.52 % (1774598)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.52 % (1774598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.52 % (1774598)CaDiCaL version: 2.1.3
% 1.30/0.52 % (1774598)Termination reason: Instruction limit
% 1.30/0.52 % (1774598)Termination phase: shuffling
% 1.30/0.52 % (1774598)Time elapsed: 0.012 s
% 1.30/0.52 % (1774598)Peak memory usage: 10 MB
% 1.30/0.52 % (1774598)Instructions burned: 26 (million)
% 1.30/0.52 % (1774606)Instruction limit reached!
% 1.30/0.52 % (1774606)------------------------------
% 1.30/0.52 % (1774606)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.52 % (1774606)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.52 % (1774606)CaDiCaL version: 2.1.3
% 1.30/0.52 % (1774606)Termination reason: Instruction limit
% 1.30/0.52 % (1774606)Termination phase: shuffling
% 1.30/0.52 % (1774606)Time elapsed: 0.007 s
% 1.30/0.52 % (1774606)Peak memory usage: 10 MB
% 1.30/0.52 % (1774606)Instructions burned: 16 (million)
% 1.30/0.52 % (1774585)Refutation not found, incomplete strategy
% 1.30/0.52 % (1774585)------------------------------
% 1.30/0.52 % (1774585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.52 % (1774585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.52 % (1774585)CaDiCaL version: 2.1.3
% 1.30/0.52 % (1774585)Termination reason: Refutation not found, incomplete strategy
% 1.30/0.52 % (1774585)Time elapsed: 0.043 s
% 1.30/0.52 % (1774585)Peak memory usage: 13 MB
% 1.30/0.52 % (1774585)Instructions burned: 91 (million)
% 1.30/0.52 % (1774616)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2291064769: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)
% 1.30/0.52 % (1774618)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3296324628:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.30/0.52 % (1774585)------------------------------
% 1.30/0.52 % (1774585)------------------------------
% 1.30/0.52 % (1774616)Instruction limit reached!
% 1.30/0.52 % (1774616)------------------------------
% 1.30/0.52 % (1774616)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.52 % (1774616)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.30/0.52 % (1774616)CaDiCaL version: 2.1.3
% 1.30/0.52 % (1774616)Termination reason: Instruction limit
% 1.30/0.52 % (1774616)Termination phase: shuffling
% 1.30/0.52 % (1774616)Time elapsed: 0.002 s
% 1.30/0.52 % (1774616)Peak memory usage: 10 MB
% 1.30/0.52 % (1774616)Instructions burned: 2 (million)
% 1.30/0.52 % (1774623)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=165861436:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.30/0.52 % (1774627)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=1482775877:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.30/0.52 % (1774618)Instruction limit reached!
% 1.30/0.52 % (1774618)------------------------------
% 1.30/0.52 % (1774618)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.30/0.52 % (1774618)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774618)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774618)Termination reason: Instruction limit
% 1.91/0.58 % (1774618)Termination phase: shuffling
% 1.91/0.58 % (1774618)Time elapsed: 0.012 s
% 1.91/0.58 % (1774618)Peak memory usage: 10 MB
% 1.91/0.58 % (1774618)Instructions burned: 26 (million)
% 1.91/0.58 % (1774623)Instruction limit reached!
% 1.91/0.58 % (1774623)------------------------------
% 1.91/0.58 % (1774623)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774623)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774623)Termination reason: Instruction limit
% 1.91/0.58 % (1774623)Termination phase: shuffling
% 1.91/0.58 % (1774623)Time elapsed: 0.011 s
% 1.91/0.58 % (1774623)Peak memory usage: 10 MB
% 1.91/0.58 % (1774623)Instructions burned: 24 (million)
% 1.91/0.58 % (1774634)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
% 1.91/0.58 % (1774634)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.91/0.58 % (1774635)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.91/0.58 % (1774634)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=2945978182:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.91/0.58 % (1774635)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=995489170:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.91/0.58 % (1774635)Instruction limit reached!
% 1.91/0.58 % (1774635)------------------------------
% 1.91/0.58 % (1774635)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774635)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774635)Termination reason: Instruction limit
% 1.91/0.58 % (1774635)Termination phase: shuffling
% 1.91/0.58 % (1774635)Time elapsed: 0.004 s
% 1.91/0.58 % (1774635)Peak memory usage: 10 MB
% 1.91/0.58 % (1774635)Instructions burned: 8 (million)
% 1.91/0.58 % (1774634)Instruction limit reached!
% 1.91/0.58 % (1774634)------------------------------
% 1.91/0.58 % (1774634)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774634)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774634)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774634)Termination reason: Instruction limit
% 1.91/0.58 % (1774634)Termination phase: shuffling
% 1.91/0.58 % (1774634)Time elapsed: 0.008 s
% 1.91/0.58 % (1774634)Peak memory usage: 10 MB
% 1.91/0.58 % (1774634)Instructions burned: 15 (million)
% 1.91/0.58 % (1774639)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=2278450528:uwa_fpi=on:i=31:doe=on:bd=preordered:rtra=on:fsd=on_2998 on theBenchmark for (2998ds/31Mi)
% 1.91/0.58 % (1774642)dis+10_1024_sil=128000:cnfonf=off:si=on:fd=off:random_seed=3559443087:i=7:hud=5:bd=preordered:rtra=on:bet=on_2998 on theBenchmark for (2998ds/7Mi)
% 1.91/0.58 % (1774627)Instruction limit reached!
% 1.91/0.58 % (1774627)------------------------------
% 1.91/0.58 % (1774627)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774627)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774627)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774627)Termination reason: Instruction limit
% 1.91/0.58 % (1774627)Termination phase: Preprocessing 3
% 1.91/0.58 % (1774627)Time elapsed: 0.029 s
% 1.91/0.58 % (1774627)Peak memory usage: 11 MB
% 1.91/0.58 % (1774627)Instructions burned: 62 (million)
% 1.91/0.58 % (1774642)Instruction limit reached!
% 1.91/0.58 % (1774642)------------------------------
% 1.91/0.58 % (1774642)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774642)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774642)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774642)Termination reason: Instruction limit
% 1.91/0.58 % (1774642)Termination phase: shuffling
% 1.91/0.58 % (1774642)Time elapsed: 0.004 s
% 1.91/0.58 % (1774642)Peak memory usage: 10 MB
% 1.91/0.58 % (1774642)Instructions burned: 8 (million)
% 1.91/0.58 % (1774639)Instruction limit reached!
% 1.91/0.58 % (1774639)------------------------------
% 1.91/0.58 % (1774639)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774639)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774639)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774639)Termination reason: Instruction limit
% 1.91/0.58 % (1774639)Termination phase: shuffling
% 1.91/0.58 % (1774639)Time elapsed: 0.015 s
% 1.91/0.58 % (1774639)Peak memory usage: 10 MB
% 1.91/0.58 % (1774639)Instructions burned: 33 (million)
% 1.91/0.58 % (1774648)lrs+10_1_plsq=on:drc=ordering:cnfonf=lazy_not_gen_be_off:bsd=on:si=on:plsqr=32,1:cs=on:random_seed=1608549594:i=23:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.91/0.58 % (1774649)lrs+10_1_sil=128000:fde=unused:si=on:random_seed=2539313013:s2a=on:i=20:kws=inv_frequency:bd=all:rtra=on_2998 on theBenchmark for (2998ds/20Mi)
% 1.91/0.58 % (1774602)Instruction limit reached!
% 1.91/0.58 % (1774602)------------------------------
% 1.91/0.58 % (1774602)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774602)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774602)Termination reason: Instruction limit
% 1.91/0.58 % (1774602)Termination phase: Saturation
% 1.91/0.58 % (1774602)Time elapsed: 0.083 s
% 1.91/0.58 % (1774602)Peak memory usage: 15 MB
% 1.91/0.58 % (1774602)Instructions burned: 330 (million)
% 1.91/0.58 % (1774656)dis+1010_2:1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:uwa=off:slsq=on:random_seed=1778462868:i=1240:rtra=on:ixr=off_2998 on theBenchmark for (2998ds/1240Mi)
% 1.91/0.58 % (1774657)ott+1002_32_tgt=ground:si=on:sp=const_max:acc=on:nwc=0.5:random_seed=1439060341:i=143:fgj=on:piset=pi_sigma:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/143Mi)
% 1.91/0.58 % (1774648)Instruction limit reached!
% 1.91/0.58 % (1774648)------------------------------
% 1.91/0.58 % (1774648)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774648)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774648)Termination reason: Instruction limit
% 1.91/0.58 % (1774648)Termination phase: shuffling
% 1.91/0.58 % (1774648)Time elapsed: 0.011 s
% 1.91/0.58 % (1774648)Peak memory usage: 11 MB
% 1.91/0.58 % (1774648)Instructions burned: 25 (million)
% 1.91/0.58 % (1774649)Instruction limit reached!
% 1.91/0.58 % (1774649)------------------------------
% 1.91/0.58 % (1774649)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774649)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774649)Termination reason: Instruction limit
% 1.91/0.58 % (1774649)Termination phase: shuffling
% 1.91/0.58 % (1774649)Time elapsed: 0.010 s
% 1.91/0.58 % (1774649)Peak memory usage: 11 MB
% 1.91/0.58 % (1774649)Instructions burned: 21 (million)
% 1.91/0.58 % (1774665)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1416909646:i=42:hud=10:rtra=on_2997 on theBenchmark for (2997ds/42Mi)
% 1.91/0.58 % (1774663)lrs+1002_1_sil=128000:si=on:acc=on:uwa=off:random_seed=3256646858:st=5:s2a=on:i=193:sd=1:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/193Mi)
% 1.91/0.58 % (1774665)Instruction limit reached!
% 1.91/0.58 % (1774665)------------------------------
% 1.91/0.58 % (1774665)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774665)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774665)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774665)Termination reason: Instruction limit
% 1.91/0.58 % (1774665)Termination phase: Property scanning
% 1.91/0.58 % (1774665)Time elapsed: 0.010 s
% 1.91/0.58 % (1774665)Peak memory usage: 10 MB
% 1.91/0.58 % (1774665)Instructions burned: 44 (million)
% 1.91/0.58 % (1774672)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.91/0.58 % (1774674)lrs+10_1_to=lpo:sil=128000:si=on:sp=arity:urr=on:random_seed=1347519272:i=181:sd=2:bd=preordered:rtra=on:ss=axioms_2997 on theBenchmark for (2997ds/181Mi)
% 1.91/0.58 % (1774672)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1123476448:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2997 on theBenchmark for (2997ds/7Mi)
% 1.91/0.58 % (1774683)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=2411346310: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)
% 1.91/0.58 % (1774672)Instruction limit reached!
% 1.91/0.58 % (1774672)------------------------------
% 1.91/0.58 % (1774672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774672)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774672)Termination reason: Instruction limit
% 1.91/0.58 % (1774672)Termination phase: shuffling
% 1.91/0.58 % (1774672)Time elapsed: 0.003 s
% 1.91/0.58 % (1774672)Peak memory usage: 10 MB
% 1.91/0.58 % (1774672)Instructions burned: 7 (million)
% 1.91/0.58 % (1774690)WARNING Broken Constraint: if sine_level_split_queue_cutoffs(5) has been set then sine_level_split_queue(off) is equal to on
% 1.91/0.58 % (1774690)lrs+1002_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=arity:cbe=off:uwa=all:slsqc=5:random_seed=3475469065:st=4:s2a=on:i=6:add=on:doe=on:hud=10:rtra=on:bet=on:ss=axioms_2997 on theBenchmark for (2997ds/6Mi)
% 1.91/0.58 % (1774690)Instruction limit reached!
% 1.91/0.58 % (1774690)------------------------------
% 1.91/0.58 % (1774690)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774690)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774690)Termination reason: Instruction limit
% 1.91/0.58 % (1774690)Termination phase: shuffling
% 1.91/0.58 % (1774690)Time elapsed: 0.003 s
% 1.91/0.58 % (1774690)Peak memory usage: 10 MB
% 1.91/0.58 % (1774690)Instructions burned: 6 (million)
% 1.91/0.58 % (1774657)Instruction limit reached!
% 1.91/0.58 % (1774657)------------------------------
% 1.91/0.58 % (1774657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774657)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774657)Termination reason: Instruction limit
% 1.91/0.58 % (1774657)Termination phase: Property scanning
% 1.91/0.58 % (1774657)Time elapsed: 0.062 s
% 1.91/0.58 % (1774657)Peak memory usage: 12 MB
% 1.91/0.58 % (1774657)Instructions burned: 144 (million)
% 1.91/0.58 % (1774683)Instruction limit reached!
% 1.91/0.58 % (1774683)------------------------------
% 1.91/0.58 % (1774683)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774683)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774683)Termination reason: Instruction limit
% 1.91/0.58 % (1774683)Termination phase: Saturation
% 1.91/0.58 % (1774683)Time elapsed: 0.043 s
% 1.91/0.58 % (1774683)Peak memory usage: 14 MB
% 1.91/0.58 % (1774683)Instructions burned: 172 (million)
% 1.91/0.58 % (1774698)ott+2_5:4_anc=none:to=lpo:si=on:lma=off:cbe=off:uwa=ground:nwc=3:random_seed=1925644128:uwa_fpi=on:i=22:add=on:doe=on:ins=1:rtra=on_2997 on theBenchmark for (2997ds/22Mi)
% 1.91/0.58 % (1774706)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=196561319:i=316:bs=unit_only:ins=25:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/316Mi)
% 1.91/0.58 % (1774698)Instruction limit reached!
% 1.91/0.58 % (1774698)------------------------------
% 1.91/0.58 % (1774698)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.58 % (1774698)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.58 % (1774698)CaDiCaL version: 2.1.3
% 1.91/0.58 % (1774698)Termination reason: Instruction limit
% 1.91/0.58 % (1774698)Termination phase: shuffling
% 1.91/0.58 % (1774698)Time elapsed: 0.010 s
% 1.91/0.58 % (1774698)Peak memory usage: 11 MB
% 1.91/0.58 % (1774698)Instructions burned: 22 (million)
% 1.91/0.58 % (1774663) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1774542-1774663"...
% 1.91/0.58 % (1774702)dis+1010_1_to=lpo:sil=128000:cnfonf=lazy_pi_sigma_gen:sas=cadical:si=on:sos=all:uwa=off:sac=on:random_seed=1865776214:i=19:add=on:rtra=on_2997 on theBenchmark for (2997ds/19Mi)
% 1.91/0.58 % (1774663)...printing done.
% 1.91/0.58 % (1774663)Refutation found. Thanks to Tanya!
% 1.91/0.58 % SZS status Theorem for theBenchmark
% 1.91/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.91/0.59 % (1774663)------------------------------
% 1.91/0.59 % (1774663)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.91/0.59 % (1774663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.91/0.59 % (1774663)CaDiCaL version: 2.1.3
% 1.91/0.59 % (1774663)Termination reason: Refutation
% 1.91/0.59 % (1774663)Time elapsed: 0.075 s
% 1.91/0.59 % (1774663)Peak memory usage: 15 MB
% 1.91/0.59 % (1774663)Instructions burned: 153 (million)
% 1.91/0.59 % (1774542)Success in time 0.305 s
% 1.91/0.59 % Vampire exiting
%------------------------------------------------------------------------------