%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP099^1 : 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 : n009.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 08:08:20 AM UTC 2026
% Result : Theorem 0.70s 0.42s
% Output : Refutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 58 ( 4 unt; 0 typ; 3 def)
% Number of atoms : 213 ( 74 equ; 0 cnn)
% Maximal formula atoms : 4 ( 3 avg)
% Number of connectives : 544 ( 48 ~; 38 |; 7 &; 425 @)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 5 ( 4 usr)
% Number of type conns : 12 ( 12 >; 0 *; 0 +; 0 <<)
% Number of symbols : 112 ( 109 usr; 9 con; 0-4 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_nat: $tType ).
thf(type_def_6,type,
list_a: $tType ).
thf(type_def_7,type,
nat: $tType ).
thf(type_def_8,type,
a: $tType ).
thf(type_def_9,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_minus_nat: nat > nat > nat ).
thf(func_def_1,type,
plus_plus_nat: nat > nat > nat ).
thf(func_def_2,type,
if_nat: $o > nat > nat > nat ).
thf(func_def_3,type,
if_a: $o > a > a > a ).
thf(func_def_4,type,
list_asc_nat: list_nat > $o ).
thf(func_def_5,type,
list_desc_nat: list_nat > $o ).
thf(func_def_6,type,
list_strict_asc_nat: list_nat > $o ).
thf(func_def_7,type,
list_strict_desc_nat: list_nat > $o ).
thf(func_def_8,type,
listIn923761578nd_nat: list_nat > ( nat > nat ) > nat > nat ).
thf(func_def_9,type,
listIn1312259492pend_a: list_a > ( nat > a ) > nat > a ).
thf(func_def_10,type,
listIn870223551op_nat: nat > ( nat > nat ) > nat > nat ).
thf(func_def_11,type,
listIn1417627087drop_a: nat > ( nat > a ) > nat > a ).
thf(func_def_12,type,
listIn1299132951ke_nat: nat > ( nat > nat ) > list_nat ).
thf(func_def_13,type,
listIn84854903take_a: nat > ( nat > a ) > list_a ).
thf(func_def_14,type,
append_nat: list_nat > list_nat > list_nat ).
thf(func_def_15,type,
append_a: list_a > list_a > list_a ).
thf(func_def_16,type,
drop_nat: nat > list_nat > list_nat ).
thf(func_def_17,type,
drop_a: nat > list_a > list_a ).
thf(func_def_18,type,
last_nat: list_nat > nat ).
thf(func_def_19,type,
last_a: list_a > a ).
thf(func_def_20,type,
nth_nat: list_nat > nat > nat ).
thf(func_def_21,type,
nth_a: list_a > nat > a ).
thf(func_def_22,type,
size_size_list_nat: list_nat > nat ).
thf(func_def_23,type,
size_size_list_a: list_a > nat ).
thf(func_def_24,type,
ord_less_nat: nat > nat > $o ).
thf(func_def_25,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_26,type,
f: nat > a ).
thf(func_def_27,type,
n: nat ).
thf(func_def_28,type,
xs: list_a ).
thf(func_def_32,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_33,type,
vIMP: $o > $o > $o ).
thf(func_def_34,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_35,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_36,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_37,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_38,type,
vNOT: $o > $o ).
thf(func_def_39,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_40,type,
vOR: $o > $o > $o ).
thf(func_def_41,type,
vAND: $o > $o > $o ).
thf(func_def_42,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_43,type,
sP0: nat > nat > nat > $o ).
thf(func_def_44,type,
sP1: nat > nat > nat > $o ).
thf(func_def_45,type,
sP2: nat > nat > nat > $o ).
thf(func_def_46,type,
sK3: nat > nat ).
thf(func_def_47,type,
sK4: nat > ( nat > $o ) > nat ).
thf(func_def_48,type,
sK5: ( nat > $o ) > nat ).
thf(func_def_49,type,
sK6: nat > nat ).
thf(func_def_50,type,
sK7: ( nat > nat ) > nat ).
thf(func_def_51,type,
sK8: ( nat > nat ) > nat ).
thf(func_def_52,type,
sK9: nat > nat ).
thf(func_def_53,type,
sK10: ( nat > $o ) > nat ).
thf(func_def_54,type,
sK11: ( nat > $o ) > nat ).
thf(func_def_55,type,
sK12: nat > nat ).
thf(func_def_56,type,
sK13: ( nat > nat ) > nat ).
thf(func_def_57,type,
sK14: ( nat > nat ) > nat ).
thf(func_def_58,type,
sK15: nat > nat ).
thf(func_def_59,type,
sK16: list_a > ( nat > a ) > list_a > ( nat > a ) > list_a ).
thf(func_def_60,type,
sK17: nat > ( nat > $o ) > nat ).
thf(func_def_61,type,
sK18: nat > ( nat > $o ) > nat ).
thf(func_def_62,type,
sK19: ( nat > nat ) > nat ).
thf(func_def_63,type,
sK20: ( nat > nat ) > nat ).
thf(func_def_64,type,
sK21: ( nat > $o ) > nat ).
thf(func_def_65,type,
sK22: nat > nat ).
thf(func_def_66,type,
sK23: ( nat > nat ) > nat ).
thf(func_def_67,type,
sK24: ( nat > nat ) > nat ).
thf(func_def_68,type,
sK25: nat > nat ).
thf(func_def_69,type,
sK26: nat > nat ).
thf(func_def_70,type,
sK27: nat > list_a ).
thf(func_def_71,type,
sK28: ( nat > nat > $o ) > nat ).
thf(func_def_72,type,
sK29: ( nat > nat > $o ) > nat ).
thf(func_def_73,type,
sK30: ( nat > nat > $o ) > nat ).
thf(func_def_74,type,
sK31: ( nat > nat > $o ) > nat ).
thf(func_def_75,type,
sK32: ( list_a > $o ) > list_a ).
thf(func_def_76,type,
sK33: ( nat > nat ) > nat ).
thf(func_def_77,type,
sK34: ( nat > nat ) > nat ).
thf(func_def_78,type,
sK35: ( nat > nat ) > nat ).
thf(func_def_79,type,
sK36: ( nat > nat ) > nat ).
thf(func_def_80,type,
sK37: ( nat > nat ) > nat ).
thf(func_def_81,type,
sK38: ( nat > nat ) > nat ).
thf(func_def_82,type,
sK39: ( nat > nat > $o ) > nat ).
thf(func_def_83,type,
sK40: ( nat > nat > $o ) > nat ).
thf(func_def_84,type,
sK41: ( nat > nat > $o ) > nat ).
thf(func_def_85,type,
sK42: ( nat > nat > $o ) > nat ).
thf(func_def_86,type,
sK43: ( nat > nat > $o ) > nat ).
thf(func_def_87,type,
sK44: nat > nat ).
thf(func_def_88,type,
sK45: ( nat > nat ) > nat ).
thf(func_def_89,type,
sK46: ( nat > nat ) > nat ).
thf(func_def_90,type,
sK47: nat > nat ).
thf(func_def_91,type,
sK48: ( nat > nat ) > nat ).
thf(func_def_92,type,
sK49: ( nat > nat ) > nat ).
thf(func_def_93,type,
sK50: nat > nat ).
thf(func_def_94,type,
sK51: ( nat > nat ) > nat ).
thf(func_def_95,type,
sK52: ( nat > nat ) > nat ).
thf(func_def_96,type,
sK53: ( nat > nat ) > nat ).
thf(func_def_97,type,
sK54: ( nat > nat ) > nat ).
thf(func_def_98,type,
sK55: nat > nat ).
thf(func_def_99,type,
sK56: ( nat > nat ) > nat ).
thf(func_def_100,type,
sK57: ( nat > nat ) > nat ).
thf(func_def_101,type,
sK58: ( nat > nat ) > nat ).
thf(func_def_102,type,
sK59: ( nat > nat ) > nat ).
thf(func_def_103,type,
sK60: nat > ( nat > $o ) > nat > nat ).
thf(func_def_104,type,
sK61: nat > nat > ( nat > $o ) > nat ).
thf(func_def_105,type,
sK62: nat > nat ).
thf(func_def_107,type,
sK64: nat ).
thf(func_def_108,type,
sK65: nat ).
thf(f34,axiom,
! [X1: list_a,X2: nat > a,X0: nat] :
( ( ord_less_eq_nat @ X0 @ ( size_size_list_a @ X1 ) )
=> ( ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X1 @ X2 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X0 @ X1 ) @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_i__append__i__drop__eq1) ).
thf(f36,axiom,
! [X1: nat,X2: nat > a,X0: list_a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ X0 ) @ X1 )
=> ( ( listIn1417627087drop_a @ X1 @ ( listIn1312259492pend_a @ X0 @ X2 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X1 @ ( size_size_list_a @ X0 ) ) @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_i__append__i__drop__eq2) ).
thf(f188,axiom,
! [X1: nat,X0: nat] :
( ~ ( ord_less_eq_nat @ X0 @ X1 )
=> ( ord_less_nat @ X1 @ X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_not__le__imp__less) ).
thf(f194,axiom,
! [X0: nat,X1: nat] :
( ( ord_less_nat @ X0 @ X1 )
=> ( ord_less_eq_nat @ X0 @ X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_193_less__imp__le) ).
thf(f253,conjecture,
( ( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f254,negated_conjecture,
~ ( ( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(negated_conjecture,[status(cth)],[f253]) ).
thf(f255,plain,
! [X0: nat,X1: nat] :
( ( ord_less_nat @ X0 @ X1 )
=> ( ord_less_eq_nat @ X0 @ X1 ) ),
inference(rectify,[],[f194]) ).
thf(f256,plain,
! [X1: nat,X0: nat] :
( ( ( ord_less_nat @ X0 @ X1 )
= $true )
=> ( ( ord_less_eq_nat @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f255]) ).
thf(f419,plain,
! [X0: list_a,X1: nat > a,X2: nat] :
( ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X0 ) )
=> ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X0 @ X1 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X0 ) @ X1 ) ) ),
inference(rectify,[],[f34]) ).
thf(f420,plain,
! [X1: nat > a,X2: nat,X0: list_a] :
( ( ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X0 ) )
= $true )
=> ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X0 @ X1 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X0 ) @ X1 ) ) ),
inference(fool_elimination,[],[f419]) ).
thf(f427,plain,
! [X0: nat,X1: nat] :
( ~ ( ord_less_eq_nat @ X1 @ X0 )
=> ( ord_less_nat @ X0 @ X1 ) ),
inference(rectify,[],[f188]) ).
thf(f428,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
=> ( ( ord_less_nat @ X0 @ X1 )
= $true ) ),
inference(fool_elimination,[],[f427]) ).
thf(f437,plain,
~ ( ( ~ ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(rectify,[],[f254]) ).
thf(f438,plain,
~ ( ( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(fool_elimination,[],[f437]) ).
thf(f671,plain,
! [X0: nat,X1: nat > a,X2: list_a] :
( ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X0 )
=> ( ( listIn1417627087drop_a @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ X2 ) ) @ X1 )
= ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X2 @ X1 ) ) ) ),
inference(rectify,[],[f36]) ).
thf(f672,plain,
! [X1: nat > a,X0: nat,X2: list_a] :
( ( $true
= ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X0 ) )
=> ( ( listIn1417627087drop_a @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ X2 ) ) @ X1 )
= ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X2 @ X1 ) ) ) ),
inference(fool_elimination,[],[f671]) ).
thf(f695,plain,
~ ( ( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) )
& ( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true )
=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ) ),
inference(flattening,[],[f438]) ).
thf(f721,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
!= $true )
=> ( ( ord_less_nat @ X0 @ X1 )
= $true ) ),
inference(flattening,[],[f428]) ).
thf(f808,plain,
! [X0: nat,X2: list_a,X1: nat > a] :
( ( $true
!= ( ord_less_eq_nat @ ( size_size_list_a @ X2 ) @ X0 ) )
| ( ( listIn1417627087drop_a @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ X2 ) ) @ X1 )
= ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X2 @ X1 ) ) ) ),
inference(ennf_transformation,[],[f672]) ).
thf(f841,plain,
( ( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true )
& ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) )
| ( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true )
& ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) ) ),
inference(ennf_transformation,[],[f695]) ).
thf(f862,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
= $true )
| ( ( ord_less_nat @ X0 @ X1 )
= $true ) ),
inference(ennf_transformation,[],[f721]) ).
thf(f897,plain,
! [X2: nat,X1: nat > a,X0: list_a] :
( ( ( listIn1417627087drop_a @ X2 @ ( listIn1312259492pend_a @ X0 @ X1 ) )
= ( listIn1312259492pend_a @ ( drop_a @ X2 @ X0 ) @ X1 ) )
| ( ( ord_less_eq_nat @ X2 @ ( size_size_list_a @ X0 ) )
!= $true ) ),
inference(ennf_transformation,[],[f420]) ).
thf(f928,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
= $true )
| ( ( ord_less_nat @ X0 @ X1 )
!= $true ) ),
inference(ennf_transformation,[],[f256]) ).
thf(f1051,plain,
! [X0: nat,X1: list_a,X2: nat > a] :
( ( ( ord_less_eq_nat @ ( size_size_list_a @ X1 ) @ X0 )
!= $true )
| ( ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X1 @ X2 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ X1 ) ) @ X2 ) ) ),
inference(rectify,[],[f808]) ).
thf(f1061,plain,
! [X0: nat,X1: nat > a,X2: list_a] :
( ( ( listIn1312259492pend_a @ ( drop_a @ X0 @ X2 ) @ X1 )
= ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X2 @ X1 ) ) )
| ( $true
!= ( ord_less_eq_nat @ X0 @ ( size_size_list_a @ X2 ) ) ) ),
inference(rectify,[],[f897]) ).
thf(f1075,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X0 @ X1 )
= $true )
| ( ( ord_less_nat @ X0 @ X1 )
!= $true ) ),
inference(cnf_transformation,[],[f928]) ).
thf(f1087,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) )
| ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true ) ),
inference(cnf_transformation,[],[f841]) ).
thf(f1088,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) )
| ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true ) ),
inference(cnf_transformation,[],[f841]) ).
thf(f1230,plain,
! [X0: nat,X1: nat] :
( ( ( ord_less_eq_nat @ X1 @ X0 )
= $true )
| ( ( ord_less_nat @ X0 @ X1 )
= $true ) ),
inference(cnf_transformation,[],[f862]) ).
thf(f1246,plain,
! [X2: nat > a,X0: nat,X1: list_a] :
( ( ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X1 @ X2 ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ X0 @ ( size_size_list_a @ X1 ) ) @ X2 ) )
| ( ( ord_less_eq_nat @ ( size_size_list_a @ X1 ) @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f1051]) ).
thf(f1264,plain,
! [X2: list_a,X0: nat,X1: nat > a] :
( ( ( listIn1312259492pend_a @ ( drop_a @ X0 @ X2 ) @ X1 )
= ( listIn1417627087drop_a @ X0 @ ( listIn1312259492pend_a @ X2 @ X1 ) ) )
| ( $true
!= ( ord_less_eq_nat @ X0 @ ( size_size_list_a @ X2 ) ) ) ),
inference(cnf_transformation,[],[f1061]) ).
thf(f1318,definition,
( spl63_1
<=> ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl63_1])],[avatar_definition]) ).
thf(f1320,plain,
( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true )
| spl63_1 ),
inference(avatar_component_clause,[],[f1318]) ).
thf(f1322,definition,
( spl63_2
<=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) ) ),
introduced(definition,[new_symbols(definition,[spl63_2])],[avatar_definition]) ).
thf(f1324,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1312259492pend_a @ ( drop_a @ n @ xs ) @ f ) )
| spl63_2 ),
inference(avatar_component_clause,[],[f1322]) ).
thf(f1325,plain,
( ~ spl63_1
| ~ spl63_2 ),
inference(avatar_split_clause,[],[f1087,f1322,f1318]) ).
thf(f1327,definition,
( spl63_3
<=> ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) ) ),
introduced(definition,[new_symbols(definition,[spl63_3])],[avatar_definition]) ).
thf(f1329,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) )
| spl63_3 ),
inference(avatar_component_clause,[],[f1327]) ).
thf(f1331,plain,
( ~ spl63_3
| spl63_1 ),
inference(avatar_split_clause,[],[f1088,f1318,f1327]) ).
thf(f1333,plain,
( ( ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) )
!= ( listIn1417627087drop_a @ n @ ( listIn1312259492pend_a @ xs @ f ) ) )
| ( $true
!= ( ord_less_eq_nat @ n @ ( size_size_list_a @ xs ) ) )
| spl63_2 ),
inference(superposition,[],[f1324,f1264]) ).
thf(f1334,plain,
( ( $true
!= ( ord_less_eq_nat @ n @ ( size_size_list_a @ xs ) ) )
| spl63_2 ),
inference(trivial_inequality_removal,[],[f1333]) ).
thf(f1336,plain,
( ( ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f )
!= ( listIn1417627087drop_a @ ( minus_minus_nat @ n @ ( size_size_list_a @ xs ) ) @ f ) )
| ( $true
!= ( ord_less_eq_nat @ ( size_size_list_a @ xs ) @ n ) )
| spl63_3 ),
inference(superposition,[],[f1329,f1246]) ).
thf(f1337,plain,
( ( $true
!= ( ord_less_eq_nat @ ( size_size_list_a @ xs ) @ n ) )
| spl63_3 ),
inference(trivial_inequality_removal,[],[f1336]) ).
thf(f1338,plain,
( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true )
| ( $true != $true )
| spl63_2 ),
inference(superposition,[],[f1334,f1075]) ).
thf(f1361,plain,
( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
!= $true )
| spl63_2 ),
inference(trivial_inequality_removal,[],[f1338]) ).
thf(f1374,plain,
( ~ spl63_1
| spl63_2 ),
inference(avatar_split_clause,[],[f1361,f1322,f1318]) ).
thf(f1444,plain,
( ( $true != $true )
| ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true )
| spl63_3 ),
inference(superposition,[],[f1337,f1230]) ).
thf(f1465,plain,
( ( ( ord_less_nat @ n @ ( size_size_list_a @ xs ) )
= $true )
| spl63_3 ),
inference(trivial_inequality_removal,[],[f1444]) ).
thf(f1486,plain,
( $false
| spl63_1
| spl63_3 ),
inference(forward_subsumption_resolution,[],[f1465,f1320]) ).
thf(f1487,plain,
( spl63_1
| spl63_3 ),
inference(avatar_contradiction_clause,[],[f1486]) ).
cnf(s1,plain,
( ~ spl63_1
| ~ spl63_2 ),
inference(sat_conversion,[],[f1325]) ).
cnf(s3,plain,
( spl63_1
| ~ spl63_3 ),
inference(sat_conversion,[],[f1331]) ).
cnf(s6,plain,
( ~ spl63_1
| spl63_2 ),
inference(sat_conversion,[],[f1374]) ).
cnf(s30,plain,
( spl63_1
| spl63_3 ),
inference(sat_conversion,[],[f1487]) ).
cnf(s31,plain,
spl63_1,
inference(rat,[],[s3,s30]) ).
cnf(s32,plain,
spl63_2,
inference(rat,[],[s6,s31]) ).
cnf(s33,plain,
$false,
inference(rat,[],[s1,s32,s31]) ).
thf(f1488,plain,
$false,
inference(avatar_sat_refutation,[],[s33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP099^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.17 % Computer : n009.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Tue Sep 29 19:53:30 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 Running higher-order theorem proving
% 0.08/0.24 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
% 0.70/0.37 % (273378)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.70/0.37 % (273387)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=225258676:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.70/0.37 % (273389)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.70/0.37 % (273389)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
% 0.70/0.37 % (273383)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=714775727:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.70/0.37 % (273384)lrs+10_16_si=on:nwc=1.5:random_seed=3538577279:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.70/0.37 % (273387)Instruction limit reached!
% 0.70/0.37 % (273387)------------------------------
% 0.70/0.37 % (273387)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (273387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (273385)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=247443345:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.70/0.37 % (273387)CaDiCaL version: 2.1.3
% 0.70/0.37 % (273387)Termination reason: Instruction limit
% 0.70/0.37 % (273387)Termination phase: Preprocessing 1
% 0.70/0.37 % (273387)Time elapsed: 0.007 s
% 0.70/0.37 % (273387)Peak memory usage: 10 MB
% 0.70/0.37 % (273387)Instructions burned: 29 (million)
% 0.70/0.37 % (273388)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=576252978:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.70/0.37 % (273386)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=2016649134: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)
% 0.70/0.37 % (273389)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=2269076604:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.70/0.37 % (273385)Instruction limit reached!
% 0.70/0.37 % (273385)------------------------------
% 0.70/0.37 % (273385)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (273385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (273385)CaDiCaL version: 2.1.3
% 0.70/0.37 % (273385)Termination reason: Instruction limit
% 0.70/0.37 % (273385)Termination phase: shuffling
% 0.70/0.37 % (273385)Time elapsed: 0.002 s
% 0.70/0.37 % (273385)Peak memory usage: 10 MB
% 0.70/0.37 % (273385)Instructions burned: 4 (million)
% 0.70/0.37 % (273384)Instruction limit reached!
% 0.70/0.37 % (273384)------------------------------
% 0.70/0.37 % (273384)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (273384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (273384)CaDiCaL version: 2.1.3
% 0.70/0.37 % (273384)Termination reason: Instruction limit
% 0.70/0.37 % (273384)Termination phase: Property scanning
% 0.70/0.37 % (273384)Time elapsed: 0.009 s
% 0.70/0.37 % (273384)Peak memory usage: 10 MB
% 0.70/0.37 % (273384)Instructions burned: 20 (million)
% 0.70/0.37 % (273396)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=735327057:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.37 % (273396)Instruction limit reached!
% 0.70/0.37 % (273396)------------------------------
% 0.70/0.37 % (273396)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.37 % (273396)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.37 % (273396)CaDiCaL version: 2.1.3
% 0.70/0.37 % (273396)Termination reason: Instruction limit
% 0.70/0.37 % (273396)Termination phase: shuffling
% 0.70/0.37 % (273396)Time elapsed: 0.003 s
% 0.70/0.37 % (273396)Peak memory usage: 10 MB
% 0.70/0.37 % (273396)Instructions burned: 15 (million)
% 0.70/0.37 % (273398)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4032213872:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.70/0.37 % (273399)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.41 % (273398)Instruction limit reached!
% 0.70/0.41 % (273398)------------------------------
% 0.70/0.41 % (273398)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (273398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (273398)CaDiCaL version: 2.1.3
% 0.70/0.41 % (273398)Termination reason: Instruction limit
% 0.70/0.41 % (273398)Termination phase: shuffling
% 0.70/0.41 % (273398)Time elapsed: 0.003 s
% 0.70/0.41 % (273398)Peak memory usage: 10 MB
% 0.70/0.41 % (273398)Instructions burned: 6 (million)
% 0.70/0.41 % (273401)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2505295763:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.70/0.41 % (273399)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2372334196:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.70/0.41 % (273401)Instruction limit reached!
% 0.70/0.41 % (273401)------------------------------
% 0.70/0.41 % (273401)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (273401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (273401)CaDiCaL version: 2.1.3
% 0.70/0.41 % (273401)Termination reason: Instruction limit
% 0.70/0.41 % (273401)Termination phase: shuffling
% 0.70/0.41 % (273401)Time elapsed: 0.003 s
% 0.70/0.41 % (273401)Peak memory usage: 10 MB
% 0.70/0.41 % (273401)Instructions burned: 13 (million)
% 0.70/0.41 % (273399)Instruction limit reached!
% 0.70/0.41 % (273399)------------------------------
% 0.70/0.41 % (273399)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (273399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (273399)CaDiCaL version: 2.1.3
% 0.70/0.41 % (273399)Termination reason: Instruction limit
% 0.70/0.41 % (273399)Termination phase: shuffling
% 0.70/0.41 % (273399)Time elapsed: 0.004 s
% 0.70/0.41 % (273399)Peak memory usage: 10 MB
% 0.70/0.41 % (273399)Instructions burned: 8 (million)
% 0.70/0.41 % (273388)Instruction limit reached!
% 0.70/0.41 % (273388)------------------------------
% 0.70/0.41 % (273388)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (273388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (273388)CaDiCaL version: 2.1.3
% 0.70/0.41 % (273388)Termination reason: Instruction limit
% 0.70/0.41 % (273388)Termination phase: Property scanning
% 0.70/0.41 % (273388)Time elapsed: 0.034 s
% 0.70/0.41 % (273388)Peak memory usage: 12 MB
% 0.70/0.41 % (273388)Instructions burned: 77 (million)
% 0.70/0.41 % (273383)Instruction limit reached!
% 0.70/0.41 % (273383)------------------------------
% 0.70/0.41 % (273383)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.41 % (273383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.41 % (273383)CaDiCaL version: 2.1.3
% 0.70/0.41 % (273383)Termination reason: Instruction limit
% 0.70/0.41 % (273383)Termination phase: Property scanning
% 0.70/0.41 % (273383)Time elapsed: 0.038 s
% 0.70/0.41 % (273383)Peak memory usage: 12 MB
% 0.70/0.41 % (273383)Instructions burned: 89 (million)
% 0.70/0.41 % (273406)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=2083925334:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.70/0.41 % (273404)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
% 0.70/0.41 % (273404)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.70/0.41 % (273404)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2701197807:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.70/0.41 % (273408)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.70/0.41 % (273408)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=455904128:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.70/0.42 % (273409)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=323152467:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.70/0.42 % (273408)Instruction limit reached!
% 0.70/0.42 % (273408)------------------------------
% 0.70/0.42 % (273408)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273408)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273408)Termination reason: Instruction limit
% 0.70/0.42 % (273408)Termination phase: shuffling
% 0.70/0.42 % (273408)Time elapsed: 0.003 s
% 0.70/0.42 % (273408)Peak memory usage: 10 MB
% 0.70/0.42 % (273408)Instructions burned: 6 (million)
% 0.70/0.42 % (273406)Instruction limit reached!
% 0.70/0.42 % (273406)------------------------------
% 0.70/0.42 % (273406)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273406)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273406)Termination reason: Instruction limit
% 0.70/0.42 % (273406)Termination phase: Function definition elimination
% 0.70/0.42 % (273406)Time elapsed: 0.020 s
% 0.70/0.42 % (273406)Peak memory usage: 11 MB
% 0.70/0.42 % (273406)Instructions burned: 90 (million)
% 0.70/0.42 % (273404)Instruction limit reached!
% 0.70/0.42 % (273404)------------------------------
% 0.70/0.42 % (273404)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273404)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273404)Termination reason: Instruction limit
% 0.70/0.42 % (273404)Termination phase: Property scanning
% 0.70/0.42 % (273404)Time elapsed: 0.014 s
% 0.70/0.42 % (273404)Peak memory usage: 10 MB
% 0.70/0.42 % (273404)Instructions burned: 30 (million)
% 0.70/0.42 % (273407)lrs+10_1_si=on:cs=on:random_seed=861773668:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.70/0.42 % (273389)Instruction limit reached!
% 0.70/0.42 % (273389)------------------------------
% 0.70/0.42 % (273389)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273389)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273389)Termination reason: Instruction limit
% 0.70/0.42 % (273389)Termination phase: Saturation
% 0.70/0.42 % (273389)Time elapsed: 0.072 s
% 0.70/0.42 % (273389)Peak memory usage: 14 MB
% 0.70/0.42 % (273389)Instructions burned: 158 (million)
% 0.70/0.42 % (273416)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=673997280:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.42 % (273407)Instruction limit reached!
% 0.70/0.42 % (273407)------------------------------
% 0.70/0.42 % (273407)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273407)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273407)Termination reason: Instruction limit
% 0.70/0.42 % (273407)Termination phase: shuffling
% 0.70/0.42 % (273407)Time elapsed: 0.008 s
% 0.70/0.42 % (273407)Peak memory usage: 10 MB
% 0.70/0.42 % (273407)Instructions burned: 9 (million)
% 0.70/0.42 % (273409)Instruction limit reached!
% 0.70/0.42 % (273409)------------------------------
% 0.70/0.42 % (273409)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273409)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273409)Termination reason: Instruction limit
% 0.70/0.42 % (273409)Termination phase: Preprocessing 3
% 0.70/0.42 % (273409)Time elapsed: 0.019 s
% 0.70/0.42 % (273409)Peak memory usage: 11 MB
% 0.70/0.42 % (273409)Instructions burned: 41 (million)
% 0.70/0.42 % (273416)Instruction limit reached!
% 0.70/0.42 % (273416)------------------------------
% 0.70/0.42 % (273416)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273414)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3987538953:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.70/0.42 % (273416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273416)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273416)Termination reason: Instruction limit
% 0.70/0.42 % (273416)Termination phase: Property scanning
% 0.70/0.42 % (273416)Time elapsed: 0.004 s
% 0.70/0.42 % (273416)Peak memory usage: 10 MB
% 0.70/0.42 % (273416)Instructions burned: 18 (million)
% 0.70/0.42 % (273415)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=580617462:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.70/0.42 % (273423)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=435895201:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.70/0.42 % (273418)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=3114663877:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.70/0.42 % (273415)Instruction limit reached!
% 0.70/0.42 % (273415)------------------------------
% 0.70/0.42 % (273415)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273415)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273415)Termination reason: Instruction limit
% 0.70/0.42 % (273415)Termination phase: Property scanning
% 0.70/0.42 % (273415)Time elapsed: 0.011 s
% 0.70/0.42 % (273415)Peak memory usage: 10 MB
% 0.70/0.42 % (273415)Instructions burned: 25 (million)
% 0.70/0.42 % (273420)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=4237157279:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.42 % (273423)Instruction limit reached!
% 0.70/0.42 % (273423)------------------------------
% 0.70/0.42 % (273423)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273423)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273423)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273423)Termination reason: Instruction limit
% 0.70/0.42 % (273423)Termination phase: shuffling
% 0.70/0.42 % (273423)Time elapsed: 0.006 s
% 0.70/0.42 % (273423)Peak memory usage: 10 MB
% 0.70/0.42 % (273423)Instructions burned: 26 (million)
% 0.70/0.42 % (273421)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1658045385:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.70/0.42 % (273421)Instruction limit reached!
% 0.70/0.42 % (273421)------------------------------
% 0.70/0.42 % (273421)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273421)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273421)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273421)Termination reason: Instruction limit
% 0.70/0.42 % (273421)Termination phase: shuffling
% 0.70/0.42 % (273421)Time elapsed: 0.003 s
% 0.70/0.42 % (273421)Peak memory usage: 10 MB
% 0.70/0.42 % (273421)Instructions burned: 7 (million)
% 0.70/0.42 % (273420)Instruction limit reached!
% 0.70/0.42 % (273420)------------------------------
% 0.70/0.42 % (273420)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273420)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273420)Termination reason: Instruction limit
% 0.70/0.42 % (273420)Termination phase: shuffling
% 0.70/0.42 % (273420)Time elapsed: 0.007 s
% 0.70/0.42 % (273420)Peak memory usage: 10 MB
% 0.70/0.42 % (273420)Instructions burned: 15 (million)
% 0.70/0.42 % (273429)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=972055754:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 0.70/0.42 % (273428)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=1863525562:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 0.70/0.42 % (273431)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
% 0.70/0.42 % (273431)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 0.70/0.42 % (273432)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 0.70/0.42 % (273414) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-273378-273414"...
% 0.70/0.42 % (273431)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=51043301:i=14:add=off:nm=40:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.70/0.42 % (273432)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=1790566088:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.70/0.42 % (273429)Instruction limit reached!
% 0.70/0.42 % (273429)------------------------------
% 0.70/0.42 % (273429)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273429)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273429)Termination reason: Instruction limit
% 0.70/0.42 % (273429)Termination phase: Property scanning
% 0.70/0.42 % (273429)Time elapsed: 0.014 s
% 0.70/0.42 % (273429)Peak memory usage: 12 MB
% 0.70/0.42 % (273429)Instructions burned: 63 (million)
% 0.70/0.42 % (273414)...printing done.
% 0.70/0.42 % (273414)Refutation found. Thanks to Tanya!
% 0.70/0.42 % SZS status Theorem for theBenchmark
% 0.70/0.42 % SZS output start Proof for theBenchmark
% See solution above
% 0.70/0.42 % (273414)------------------------------
% 0.70/0.42 % (273414)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.70/0.42 % (273414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.70/0.42 % (273414)CaDiCaL version: 2.1.3
% 0.70/0.42 % (273414)Termination reason: Refutation
% 0.70/0.42 % (273414)Time elapsed: 0.040 s
% 0.70/0.42 % (273414)Peak memory usage: 14 MB
% 0.70/0.42 % (273414)Instructions burned: 84 (million)
% 0.70/0.42 % (273378)Success in time 0.163 s
% 0.70/0.42 % Vampire exiting
%------------------------------------------------------------------------------