%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP199^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : 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 08:08:47 AM UTC 2026
% Result : Theorem 0.66s 0.41s
% Output : Refutation 0.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 25 unt; 0 typ; 2 def)
% Number of atoms : 62 ( 18 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 248 ( 13 ~; 7 |; 0 &; 226 @)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 19 ( 18 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 183 ( 180 usr; 24 con; 0-7 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1418842292n_game: $tType ).
thf(type_def_6,type,
set_op12188086e_real: $tType ).
thf(type_def_7,type,
option_variable_real: $tType ).
thf(type_def_8,type,
set_variable_real: $tType ).
thf(type_def_9,type,
set_option_variable: $tType ).
thf(type_def_10,type,
set_option_trm: $tType ).
thf(type_def_11,type,
option_variable: $tType ).
thf(type_def_12,type,
option_trm: $tType ).
thf(type_def_13,type,
denotational_interp: $tType ).
thf(type_def_14,type,
set_variable: $tType ).
thf(type_def_15,type,
set_trm: $tType ).
thf(type_def_16,type,
set_real: $tType ).
thf(type_def_17,type,
set_nat: $tType ).
thf(type_def_18,type,
variable: $tType ).
thf(type_def_19,type,
char: $tType ).
thf(type_def_20,type,
trm: $tType ).
thf(type_def_21,type,
real: $tType ).
thf(type_def_22,type,
nat: $tType ).
thf(type_def_23,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
statediff: ( variable > real ) > ( variable > real ) > set_variable ).
thf(func_def_1,type,
stateinterpol: ( variable > real ) > ( variable > real ) > set_variable > variable > real ).
thf(func_def_2,type,
denota1419872369iation: ( variable > real ) > ( variable > real ) > set_variable > $o ).
thf(func_def_3,type,
denotational_Vagree: ( variable > real ) > ( variable > real ) > set_variable > $o ).
thf(func_def_4,type,
denotational_repv: ( variable > real ) > variable > real > variable > real ).
thf(func_def_5,type,
denota1778088425es_ODE: denotational_interp > ( real > variable > real ) > char > trm > $o ).
thf(func_def_6,type,
denota1863255036rm_sem: denotational_interp > trm > ( variable > real ) > real ).
thf(func_def_7,type,
uminus_uminus_real: real > real ).
thf(func_def_8,type,
uminus430703407e_real: set_variable_real > set_variable_real ).
thf(func_def_9,type,
uminus1851247844riable: set_variable > set_variable ).
thf(func_def_10,type,
zero_zero_nat: nat ).
thf(func_def_11,type,
zero_zero_real: real ).
thf(func_def_12,type,
zero_zero_set_nat: set_nat ).
thf(func_def_13,type,
zero_zero_set_real: set_real ).
thf(func_def_14,type,
if_real: $o > real > real > real ).
thf(func_def_15,type,
inf_in1556002680e_real: set_variable_real > set_variable_real > set_variable_real ).
thf(func_def_16,type,
inf_inf_set_variable: set_variable > set_variable > set_variable ).
thf(func_def_17,type,
sup_su1685293586e_real: set_variable_real > set_variable_real > set_variable_real ).
thf(func_def_18,type,
sup_sup_set_variable: set_variable > set_variable > set_variable ).
thf(func_def_19,type,
size_size_variable: variable > nat ).
thf(func_def_20,type,
none_variable_real: option_variable_real ).
thf(func_def_21,type,
none_trm: option_trm ).
thf(func_def_22,type,
none_variable: option_variable ).
thf(func_def_23,type,
some_variable_real: ( variable > real ) > option_variable_real ).
thf(func_def_24,type,
some_trm: trm > option_trm ).
thf(func_def_25,type,
some_variable: variable > option_variable ).
thf(func_def_26,type,
set_op697949218e_real: option_variable_real > set_variable_real ).
thf(func_def_27,type,
set_option_trm2: option_trm > set_trm ).
thf(func_def_28,type,
set_option_variable2: option_variable > set_variable ).
thf(func_def_29,type,
the_variable_real: option_variable_real > variable > real ).
thf(func_def_30,type,
the_trm: option_trm > trm ).
thf(func_def_31,type,
the_variable: option_variable > variable ).
thf(func_def_32,type,
these_variable_real: set_op12188086e_real > set_variable_real ).
thf(func_def_33,type,
these_trm: set_option_trm > set_trm ).
thf(func_def_34,type,
these_variable: set_option_variable > set_variable ).
thf(func_def_35,type,
bot_bo1661475211real_o: ( variable > real ) > $o ).
thf(func_def_36,type,
bot_bot_variable_o: variable > $o ).
thf(func_def_37,type,
bot_bo721182586e_real: set_variable_real ).
thf(func_def_38,type,
bot_bot_set_nat: set_nat ).
thf(func_def_39,type,
bot_bo1411475018e_real: set_op12188086e_real ).
thf(func_def_40,type,
bot_bo946428664on_trm: set_option_trm ).
thf(func_def_41,type,
bot_bo266290559riable: set_option_variable ).
thf(func_def_42,type,
bot_bot_set_real: set_real ).
thf(func_def_43,type,
bot_bot_set_trm: set_trm ).
thf(func_def_44,type,
bot_bot_set_variable: set_variable ).
thf(func_def_45,type,
ord_less_eq_nat: nat > nat > $o ).
thf(func_def_46,type,
ord_le1113654598e_real: set_variable_real > set_variable_real > $o ).
thf(func_def_47,type,
ord_le282106107riable: set_variable > set_variable > $o ).
thf(func_def_48,type,
collec633296133e_real: ( ( variable > real ) > $o ) > set_variable_real ).
thf(func_def_49,type,
collect_variable: ( variable > $o ) > set_variable ).
thf(func_def_50,type,
insert_variable_real: ( variable > real ) > set_variable_real > set_variable_real ).
thf(func_def_51,type,
insert_nat: nat > set_nat > set_nat ).
thf(func_def_52,type,
insert526581936e_real: option_variable_real > set_op12188086e_real > set_op12188086e_real ).
thf(func_def_53,type,
insert_option_trm: option_trm > set_option_trm > set_option_trm ).
thf(func_def_54,type,
insert1340772453riable: option_variable > set_option_variable > set_option_variable ).
thf(func_def_55,type,
insert_real: real > set_real > set_real ).
thf(func_def_56,type,
insert_trm: trm > set_trm > set_trm ).
thf(func_def_57,type,
insert_variable: variable > set_variable > set_variable ).
thf(func_def_58,type,
is_emp227886046e_real: set_variable_real > $o ).
thf(func_def_59,type,
is_empty_variable: set_variable > $o ).
thf(func_def_60,type,
is_sin524757308e_real: set_variable_real > $o ).
thf(func_def_61,type,
is_sin155454833riable: set_variable > $o ).
thf(func_def_62,type,
the_el1059226619e_real: set_variable_real > variable > real ).
thf(func_def_63,type,
the_elem_variable: set_variable > variable ).
thf(func_def_64,type,
static_FVT: trm > set_variable ).
thf(func_def_65,type,
static_selectlike: set_variable_real > ( variable > real ) > set_variable > set_variable_real ).
thf(func_def_66,type,
times: trm > trm > trm ).
thf(func_def_67,type,
dVar: char > variable ).
thf(func_def_68,type,
rVar: char > variable ).
thf(func_def_69,type,
size_variable: variable > nat ).
thf(func_def_70,type,
uSubst918876924Timeso: option_trm > option_trm > option_trm ).
thf(func_def_71,type,
uSubst1599435252djoint: produc1418842292n_game > denotational_interp > ( variable > real ) > denotational_interp ).
thf(func_def_72,type,
uSubst516392818stappt: produc1418842292n_game > set_variable > trm > option_trm ).
thf(func_def_73,type,
member_variable_real: ( variable > real ) > set_variable_real > $o ).
thf(func_def_74,type,
member523846807e_real: option_variable_real > set_op12188086e_real > $o ).
thf(func_def_75,type,
member_option_trm: option_trm > set_option_trm > $o ).
thf(func_def_76,type,
member814448204riable: option_variable > set_option_variable > $o ).
thf(func_def_77,type,
member_trm: trm > set_trm > $o ).
thf(func_def_78,type,
member_variable: variable > set_variable > $o ).
thf(func_def_79,type,
f: real > variable > real ).
thf(func_def_80,type,
i: denotational_interp ).
thf(func_def_81,type,
u: set_variable ).
thf(func_def_82,type,
omega: variable > real ).
thf(func_def_83,type,
sigma: produc1418842292n_game ).
thf(func_def_84,type,
theta: trm ).
thf(func_def_85,type,
rr: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(func_def_86,type,
x: char ).
thf(func_def_90,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_93,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_94,type,
vIMP: $o > $o > $o ).
thf(func_def_95,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_96,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_97,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_98,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_99,type,
vOR: $o > $o > $o ).
thf(func_def_100,type,
vAND: $o > $o > $o ).
thf(func_def_101,type,
vNOT: $o > $o ).
thf(func_def_102,type,
sP0: option_trm > option_trm > option_trm > $o ).
thf(func_def_103,type,
sK1: set_variable > variable > set_variable ).
thf(func_def_104,type,
sK2: set_variable_real > set_variable_real > variable > real ).
thf(func_def_105,type,
sK3: trm > denotational_interp > trm > denotational_interp > char > ( real > variable > real ) > variable > real ).
thf(func_def_106,type,
sK4: denotational_interp > trm > char > trm > ( real > variable > real ) > denotational_interp > variable > real ).
thf(func_def_107,type,
sK5: ( variable > real ) > set_variable_real > set_variable_real > set_variable > variable > real ).
thf(func_def_108,type,
sK6: set_variable > variable > set_variable ).
thf(func_def_109,type,
sK7: set_variable_real > set_variable_real > ( variable > real ) > set_variable > variable > real ).
thf(func_def_110,type,
sK8: ( variable > real ) > ( ( variable > real ) > $o ) > set_variable_real > variable > real ).
thf(func_def_111,type,
sK9: ( ( variable > real ) > $o ) > set_variable_real > variable > real ).
thf(func_def_112,type,
sK10: set_variable_real > ( variable > real ) > set_variable_real > set_variable > variable > real ).
thf(func_def_113,type,
sK11: ( char > option_trm > $o ) > char ).
thf(func_def_114,type,
sK12: ( char > option_trm > $o ) > char ).
thf(func_def_115,type,
sK13: ( char > option_trm > $o ) > trm ).
thf(func_def_116,type,
sK14: set_variable > variable ).
thf(func_def_117,type,
sK15: ( variable > real ) > set_variable_real > set_variable_real ).
thf(func_def_118,type,
sK16: ( option_trm > $o ) > trm ).
thf(func_def_119,type,
sK17: set_variable > ( variable > $o ) > variable > variable ).
thf(func_def_120,type,
sK18: set_variable > ( variable > $o ) > variable ).
thf(func_def_121,type,
sK19: ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_122,type,
sK20: ( variable > $o ) > char ).
thf(func_def_123,type,
sK21: ( variable > $o ) > char ).
thf(func_def_124,type,
sK22: option_trm > trm ).
thf(func_def_125,type,
sK23: ( option_trm > $o ) > trm ).
thf(func_def_126,type,
sK24: set_variable > ( variable > $o ) > variable ).
thf(func_def_127,type,
sK25: set_variable > ( variable > $o ) > variable ).
thf(func_def_128,type,
sK26: set_variable > set_variable > ( variable > $o ) > variable ).
thf(func_def_129,type,
sK27: ( variable > real ) > set_variable_real > set_variable_real ).
thf(func_def_130,type,
sK28: option_trm > trm ).
thf(func_def_131,type,
sK29: variable > char ).
thf(func_def_132,type,
sK30: variable > char ).
thf(func_def_133,type,
sK31: option_trm > trm ).
thf(func_def_134,type,
sK32: ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_135,type,
sK33: set_variable > set_variable > variable ).
thf(func_def_136,type,
sK34: ( variable > real ) > ( variable > real ) > set_variable_real > set_variable_real > set_variable_real ).
thf(func_def_137,type,
sK35: set_variable_real > variable > real ).
thf(func_def_138,type,
sK36: trm > char > denotational_interp > ( real > variable > real ) > trm > denotational_interp > variable > real ).
thf(func_def_139,type,
sK37: option_trm > trm ).
thf(func_def_140,type,
sK38: option_trm > option_trm > option_trm > trm ).
thf(func_def_141,type,
sK39: option_trm > option_trm > option_trm > trm ).
thf(func_def_142,type,
sK40: ( variable > $o ) > variable ).
thf(func_def_143,type,
sK41: set_variable_real > variable > real ).
thf(func_def_144,type,
sK42: set_variable > variable ).
thf(func_def_145,type,
sK43: option_trm > trm ).
thf(func_def_146,type,
sK44: set_variable_real > variable > real ).
thf(func_def_147,type,
sK45: set_variable_real > variable > real ).
thf(func_def_148,type,
sK46: set_variable > variable > variable > set_variable > set_variable ).
thf(func_def_149,type,
sK47: ( variable > option_trm > $o ) > variable ).
thf(func_def_150,type,
sK48: ( variable > option_trm > $o ) > trm ).
thf(func_def_151,type,
sK49: ( variable > option_trm > $o ) > variable ).
thf(func_def_152,type,
sK50: ( variable > $o ) > set_variable > set_variable > variable ).
thf(func_def_153,type,
sK51: ( variable > $o ) > set_variable > variable ).
thf(func_def_154,type,
sK52: ( variable > $o ) > set_variable > variable ).
thf(func_def_155,type,
sK53: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_156,type,
sK54: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_157,type,
sK55: ( option_trm > option_trm > $o ) > option_trm ).
thf(func_def_158,type,
sK56: ( option_trm > option_trm > $o ) > trm ).
thf(func_def_159,type,
sK57: ( trm > $o ) > option_trm > trm ).
thf(func_def_160,type,
sK58: option_trm > trm ).
thf(func_def_161,type,
sK59: option_trm > ( option_trm > option_trm > $o ) > option_trm > trm ).
thf(func_def_162,type,
sK60: option_trm > ( option_trm > option_trm > $o ) > option_trm > trm ).
thf(func_def_163,type,
sK61: set_variable_real > variable > real ).
thf(func_def_164,type,
sK62: set_variable > variable ).
thf(func_def_165,type,
sK63: set_variable > variable ).
thf(func_def_166,type,
sK64: ( ( variable > real ) > $o ) > set_variable_real > set_variable_real > variable > real ).
thf(func_def_167,type,
sK65: ( ( variable > real ) > $o ) > set_variable_real > variable > real ).
thf(func_def_168,type,
sK66: ( ( variable > real ) > $o ) > set_variable_real > variable > real ).
thf(func_def_169,type,
sK67: set_variable > variable ).
thf(func_def_170,type,
sK68: set_variable > variable ).
thf(func_def_171,type,
sK69: set_variable_real > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_172,type,
sK70: set_variable_real > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_173,type,
sK71: set_variable_real > set_variable_real > ( ( variable > real ) > $o ) > variable > real ).
thf(func_def_174,type,
sK72: ( variable > $o ) > variable ).
thf(func_def_175,type,
sK73: denotational_interp > char > trm > ( real > variable > real ) > denotational_interp > trm > variable > real ).
thf(func_def_176,type,
sK74: set_variable > set_variable_real > set_variable_real > ( variable > real ) > variable > real ).
thf(func_def_177,type,
sK75: set_variable_real > variable > real ).
thf(func_def_179,type,
inv_rVar_77: variable > char ).
thf(func_def_180,type,
inv_dVar_78: variable > char ).
thf(f1,axiom,
denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_uv) ).
thf(f23,axiom,
! [X0: set_variable] :
( ( sup_sup_set_variable @ X0 @ bot_bot_set_variable )
= X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_sup__bot_Oright__neutral) ).
thf(f81,axiom,
! [X0: set_variable,X2: set_variable,X1: set_variable] :
( ( sup_sup_set_variable @ X0 @ ( sup_sup_set_variable @ X1 @ X2 ) )
= ( sup_sup_set_variable @ X1 @ ( sup_sup_set_variable @ X0 @ X2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_80_sup__left__commute) ).
thf(f357,conjecture,
denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f358,negated_conjecture,
~ ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) ),
inference(negated_conjecture,[status(cth)],[f357]) ).
thf(f385,plain,
~ ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) ),
inference(rectify,[],[f358]) ).
thf(f386,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
!= $true ),
inference(fool_elimination,[],[f385]) ).
thf(f597,plain,
denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ),
inference(rectify,[],[f1]) ).
thf(f598,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(fool_elimination,[],[f597]) ).
thf(f760,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
!= $true ),
inference(flattening,[],[f386]) ).
thf(f834,plain,
! [X1: set_variable,X2: set_variable,X0: set_variable] :
( ( sup_sup_set_variable @ X2 @ ( sup_sup_set_variable @ X0 @ X1 ) )
= ( sup_sup_set_variable @ X0 @ ( sup_sup_set_variable @ X2 @ X1 ) ) ),
inference(rectify,[],[f81]) ).
thf(f1031,plain,
! [X0: set_variable,X1: set_variable,X2: set_variable] :
( ( sup_sup_set_variable @ X1 @ ( sup_sup_set_variable @ X2 @ X0 ) )
= ( sup_sup_set_variable @ X2 @ ( sup_sup_set_variable @ X1 @ X0 ) ) ),
inference(rectify,[],[f834]) ).
thf(f1356,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ) )
= $true ),
inference(cnf_transformation,[],[f598]) ).
thf(f1432,plain,
! [X2: set_variable,X0: set_variable,X1: set_variable] :
( ( sup_sup_set_variable @ X1 @ ( sup_sup_set_variable @ X2 @ X0 ) )
= ( sup_sup_set_variable @ X2 @ ( sup_sup_set_variable @ X1 @ X0 ) ) ),
inference(cnf_transformation,[],[f1031]) ).
thf(f1550,plain,
( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
!= $true ),
inference(cnf_transformation,[],[f760]) ).
thf(f1655,plain,
! [X0: set_variable] :
( ( sup_sup_set_variable @ X0 @ bot_bot_set_variable )
= X0 ),
inference(cnf_transformation,[],[f23]) ).
thf(f2265,definition,
( spl76_13
<=> ( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl76_13])],[avatar_definition]) ).
thf(f2267,plain,
( ( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
!= $true )
| spl76_13 ),
inference(avatar_component_clause,[],[f2265]) ).
thf(f2268,plain,
~ spl76_13,
inference(avatar_split_clause,[],[f1550,f2265]) ).
thf(f2385,definition,
( spl76_37
<=> ( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ) )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl76_37])],[avatar_definition]) ).
thf(f2387,plain,
( ( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ u @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) ) )
= $true )
| ~ spl76_37 ),
inference(avatar_component_clause,[],[f2385]) ).
thf(f2388,plain,
spl76_37,
inference(avatar_split_clause,[],[f1356,f2385]) ).
thf(f2517,plain,
! [X0: set_variable,X1: set_variable] :
( ( sup_sup_set_variable @ X1 @ X0 )
= ( sup_sup_set_variable @ X0 @ ( sup_sup_set_variable @ X1 @ bot_bot_set_variable ) ) ),
inference(superposition,[],[f1432,f1655]) ).
thf(f2559,plain,
! [X0: set_variable,X1: set_variable] :
( ( sup_sup_set_variable @ X0 @ X1 )
= ( sup_sup_set_variable @ X1 @ X0 ) ),
inference(forward_demodulation,[],[f2517,f1655]) ).
thf(f2921,plain,
( ( ( denota1419872369iation @ ( f @ zero_zero_real ) @ omega @ ( sup_sup_set_variable @ ( insert_variable @ ( rVar @ x ) @ ( insert_variable @ ( dVar @ x ) @ bot_bot_set_variable ) ) @ u ) )
= $true )
| ~ spl76_37 ),
inference(superposition,[],[f2387,f2559]) ).
thf(f2935,plain,
( $false
| spl76_13
| ~ spl76_37 ),
inference(forward_subsumption_resolution,[],[f2921,f2267]) ).
thf(f2936,plain,
( spl76_13
| ~ spl76_37 ),
inference(avatar_contradiction_clause,[],[f2935]) ).
cnf(s14,plain,
~ spl76_13,
inference(sat_conversion,[],[f2268]) ).
cnf(s60,plain,
spl76_37,
inference(sat_conversion,[],[f2388]) ).
cnf(s84,plain,
( spl76_13
| ~ spl76_37 ),
inference(sat_conversion,[],[f2936]) ).
cnf(s89,plain,
spl76_13,
inference(rat,[],[s84,s60]) ).
cnf(s93,plain,
$false,
inference(rat,[],[s14,s89]) ).
thf(f2964,plain,
$false,
inference(avatar_sat_refutation,[],[s93]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP199^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.18 % Computer : n009.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Tue Sep 29 20:11:00 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running higher-order theorem proving
% 0.09/0.25 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.66/0.39 % (298877)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.66/0.39 % (298886)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4118809031:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.66/0.39 % (298888)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.66/0.39 % (298888)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
% 0.66/0.39 % (298883)lrs+10_16_si=on:nwc=1.5:random_seed=530365341:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.66/0.39 % (298886)Instruction limit reached!
% 0.66/0.39 % (298886)------------------------------
% 0.66/0.39 % (298886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (298886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (298886)CaDiCaL version: 2.1.3
% 0.66/0.39 % (298886)Termination reason: Instruction limit
% 0.66/0.39 % (298886)Termination phase: Property scanning
% 0.66/0.39 % (298886)Time elapsed: 0.007 s
% 0.66/0.39 % (298886)Peak memory usage: 10 MB
% 0.66/0.39 % (298886)Instructions burned: 29 (million)
% 0.66/0.39 % (298882)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3558223133:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.66/0.39 % (298884)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=618432113:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.66/0.39 % (298887)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1938528606:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.66/0.39 % (298885)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=3825240499: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)
% 0.66/0.39 % (298888)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=207431340:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.66/0.39 % (298884)Instruction limit reached!
% 0.66/0.39 % (298884)------------------------------
% 0.66/0.39 % (298884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (298884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (298884)CaDiCaL version: 2.1.3
% 0.66/0.39 % (298884)Termination reason: Instruction limit
% 0.66/0.39 % (298884)Termination phase: shuffling
% 0.66/0.39 % (298884)Time elapsed: 0.002 s
% 0.66/0.39 % (298884)Peak memory usage: 10 MB
% 0.66/0.39 % (298884)Instructions burned: 3 (million)
% 0.66/0.39 % (298883)Instruction limit reached!
% 0.66/0.39 % (298883)------------------------------
% 0.66/0.39 % (298883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (298883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (298883)CaDiCaL version: 2.1.3
% 0.66/0.39 % (298883)Termination reason: Instruction limit
% 0.66/0.39 % (298883)Termination phase: shuffling
% 0.66/0.39 % (298883)Time elapsed: 0.009 s
% 0.66/0.39 % (298883)Peak memory usage: 10 MB
% 0.66/0.39 % (298883)Instructions burned: 19 (million)
% 0.66/0.39 % (298893)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=377655064:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.39 % (298893)Instruction limit reached!
% 0.66/0.39 % (298893)------------------------------
% 0.66/0.39 % (298893)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.39 % (298893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.39 % (298893)CaDiCaL version: 2.1.3
% 0.66/0.39 % (298893)Termination reason: Instruction limit
% 0.66/0.39 % (298893)Termination phase: shuffling
% 0.66/0.39 % (298893)Time elapsed: 0.003 s
% 0.66/0.39 % (298893)Peak memory usage: 10 MB
% 0.66/0.39 % (298893)Instructions burned: 13 (million)
% 0.66/0.39 % (298898)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.39 % (298900)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2035325224:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.66/0.41 % (298897)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=1566834869:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.66/0.41 % (298898)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1470205143:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.66/0.41 % (298900)Instruction limit reached!
% 0.66/0.41 % (298900)------------------------------
% 0.66/0.41 % (298900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298900)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298900)Termination reason: Instruction limit
% 0.66/0.41 % (298900)Termination phase: shuffling
% 0.66/0.41 % (298900)Time elapsed: 0.003 s
% 0.66/0.41 % (298900)Peak memory usage: 10 MB
% 0.66/0.41 % (298900)Instructions burned: 13 (million)
% 0.66/0.41 % (298897)Instruction limit reached!
% 0.66/0.41 % (298897)------------------------------
% 0.66/0.41 % (298897)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298897)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298897)Termination reason: Instruction limit
% 0.66/0.41 % (298897)Termination phase: shuffling
% 0.66/0.41 % (298897)Time elapsed: 0.003 s
% 0.66/0.41 % (298897)Peak memory usage: 10 MB
% 0.66/0.41 % (298897)Instructions burned: 6 (million)
% 0.66/0.41 % (298898)Instruction limit reached!
% 0.66/0.41 % (298898)------------------------------
% 0.66/0.41 % (298898)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298898)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298898)Termination reason: Instruction limit
% 0.66/0.41 % (298898)Termination phase: shuffling
% 0.66/0.41 % (298898)Time elapsed: 0.007 s
% 0.66/0.41 % (298898)Peak memory usage: 10 MB
% 0.66/0.41 % (298898)Instructions burned: 7 (million)
% 0.66/0.41 % (298904)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
% 0.66/0.41 % (298904)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.66/0.41 % (298904)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1005943770:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.66/0.41 % (298882)Instruction limit reached!
% 0.66/0.41 % (298882)------------------------------
% 0.66/0.41 % (298882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298882)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298882)Termination reason: Instruction limit
% 0.66/0.41 % (298882)Termination phase: Property scanning
% 0.66/0.41 % (298882)Time elapsed: 0.040 s
% 0.66/0.41 % (298882)Peak memory usage: 12 MB
% 0.66/0.41 % (298882)Instructions burned: 87 (million)
% 0.66/0.41 % (298887)Instruction limit reached!
% 0.66/0.41 % (298887)------------------------------
% 0.66/0.41 % (298887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298887)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298887)Termination reason: Instruction limit
% 0.66/0.41 % (298887)Termination phase: Property scanning
% 0.66/0.41 % (298887)Time elapsed: 0.040 s
% 0.66/0.41 % (298887)Peak memory usage: 12 MB
% 0.66/0.41 % (298887)Instructions burned: 77 (million)
% 0.66/0.41 % (298904)Instruction limit reached!
% 0.66/0.41 % (298904)------------------------------
% 0.66/0.41 % (298904)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298904)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298904)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298904)Termination reason: Instruction limit
% 0.66/0.41 % (298904)Termination phase: shuffling
% 0.66/0.41 % (298904)Time elapsed: 0.007 s
% 0.66/0.41 % (298904)Peak memory usage: 10 MB
% 0.66/0.41 % (298904)Instructions burned: 29 (million)
% 0.66/0.41 % (298908)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.66/0.41 % (298910)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=1661223424:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.66/0.41 % (298909)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=2053802185:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.66/0.41 % (298908)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=637290051:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.66/0.41 % (298905)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=3398679831:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.66/0.41 % (298908)Instruction limit reached!
% 0.66/0.41 % (298908)------------------------------
% 0.66/0.41 % (298908)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298908)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298908)Termination reason: Instruction limit
% 0.66/0.41 % (298908)Termination phase: shuffling
% 0.66/0.41 % (298908)Time elapsed: 0.003 s
% 0.66/0.41 % (298908)Peak memory usage: 10 MB
% 0.66/0.41 % (298908)Instructions burned: 5 (million)
% 0.66/0.41 % (298906)lrs+10_1_si=on:cs=on:random_seed=605343674:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.66/0.41 % (298910)Refutation not found, incomplete strategy
% 0.66/0.41 % (298910)------------------------------
% 0.66/0.41 % (298910)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298910)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298910)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298910)Termination reason: Refutation not found, incomplete strategy
% 0.66/0.41 % (298910)Time elapsed: 0.017 s
% 0.66/0.41 % (298910)Peak memory usage: 13 MB
% 0.66/0.41 % (298910)Instructions burned: 64 (million)
% 0.66/0.41 % (298910)------------------------------
% 0.66/0.41 % (298910)------------------------------
% 0.66/0.41 % (298888)Instruction limit reached!
% 0.66/0.41 % (298888)------------------------------
% 0.66/0.41 % (298888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298888)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298888)Termination reason: Instruction limit
% 0.66/0.41 % (298888)Termination phase: Saturation
% 0.66/0.41 % (298888)Time elapsed: 0.075 s
% 0.66/0.41 % (298888)Peak memory usage: 14 MB
% 0.66/0.41 % (298888)Instructions burned: 158 (million)
% 0.66/0.41 % (298909)Instruction limit reached!
% 0.66/0.41 % (298909)------------------------------
% 0.66/0.41 % (298909)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298909)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298909)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298909)Termination reason: Instruction limit
% 0.66/0.41 % (298909)Termination phase: Naming
% 0.66/0.41 % (298909)Time elapsed: 0.018 s
% 0.66/0.41 % (298909)Peak memory usage: 11 MB
% 0.66/0.41 % (298909)Instructions burned: 39 (million)
% 0.66/0.41 % (298906)Instruction limit reached!
% 0.66/0.41 % (298906)------------------------------
% 0.66/0.41 % (298906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298906)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298906)Termination reason: Instruction limit
% 0.66/0.41 % (298906)Termination phase: shuffling
% 0.66/0.41 % (298906)Time elapsed: 0.008 s
% 0.66/0.41 % (298906)Peak memory usage: 10 MB
% 0.66/0.41 % (298906)Instructions burned: 8 (million)
% 0.66/0.41 % (298915)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3136349490:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.66/0.41 % (298917)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2395872209:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.66/0.41 % (298917)Instruction limit reached!
% 0.66/0.41 % (298917)------------------------------
% 0.66/0.41 % (298917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298917)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298917)Termination reason: Instruction limit
% 0.66/0.41 % (298917)Termination phase: shuffling
% 0.66/0.41 % (298917)Time elapsed: 0.003 s
% 0.66/0.41 % (298917)Peak memory usage: 10 MB
% 0.66/0.41 % (298917)Instructions burned: 15 (million)
% 0.66/0.41 % (298915)Instruction limit reached!
% 0.66/0.41 % (298915)------------------------------
% 0.66/0.41 % (298915)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298915)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298915)Termination reason: Instruction limit
% 0.66/0.41 % (298915)Termination phase: Property scanning
% 0.66/0.41 % (298915)Time elapsed: 0.012 s
% 0.66/0.41 % (298915)Peak memory usage: 10 MB
% 0.66/0.41 % (298915)Instructions burned: 26 (million)
% 0.66/0.41 % (298918)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=273212636:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.66/0.41 % (298919)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1259531801:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.66/0.41 % (298920)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2422636700: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)
% 0.66/0.41 % (298905)Instruction limit reached!
% 0.66/0.41 % (298905)------------------------------
% 0.66/0.41 % (298905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298905)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298905)Termination reason: Instruction limit
% 0.66/0.41 % (298905)Termination phase: Property scanning
% 0.66/0.41 % (298905)Time elapsed: 0.038 s
% 0.66/0.41 % (298905)Peak memory usage: 11 MB
% 0.66/0.41 % (298905)Instructions burned: 88 (million)
% 0.66/0.41 % (298923)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=3292589382:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 0.66/0.41 % (298920)Instruction limit reached!
% 0.66/0.41 % (298920)------------------------------
% 0.66/0.41 % (298920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298920)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298920)Termination reason: Instruction limit
% 0.66/0.41 % (298920)Termination phase: shuffling
% 0.66/0.41 % (298920)Time elapsed: 0.003 s
% 0.66/0.41 % (298920)Peak memory usage: 10 MB
% 0.66/0.41 % (298920)Instructions burned: 5 (million)
% 0.66/0.41 % (298919)Instruction limit reached!
% 0.66/0.41 % (298919)------------------------------
% 0.66/0.41 % (298919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298919)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298919)Termination reason: Instruction limit
% 0.66/0.41 % (298919)Termination phase: shuffling
% 0.66/0.41 % (298919)Time elapsed: 0.007 s
% 0.66/0.41 % (298919)Peak memory usage: 10 MB
% 0.66/0.41 % (298919)Instructions burned: 15 (million)
% 0.66/0.41 % (298885) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-298877-298885"...
% 0.66/0.41 % (298923)Instruction limit reached!
% 0.66/0.41 % (298923)------------------------------
% 0.66/0.41 % (298923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.41 % (298923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.41 % (298923)CaDiCaL version: 2.1.3
% 0.66/0.41 % (298923)Termination reason: Instruction limit
% 0.66/0.41 % (298923)Termination phase: shuffling
% 0.66/0.41 % (298923)Time elapsed: 0.007 s
% 0.66/0.41 % (298923)Peak memory usage: 10 MB
% 0.66/0.41 % (298923)Instructions burned: 31 (million)
% 0.66/0.41 % (298885)...printing done.
% 0.66/0.41 % (298885)Refutation found. Thanks to Tanya!
% 0.66/0.41 % SZS status Theorem for theBenchmark
% 0.66/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.66/0.42 % (298885)------------------------------
% 0.66/0.42 % (298885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.66/0.42 % (298885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.42 % (298885)CaDiCaL version: 2.1.3
% 0.66/0.42 % (298885)Termination reason: Refutation
% 0.66/0.42 % (298885)Time elapsed: 0.107 s
% 0.66/0.42 % (298885)Peak memory usage: 15 MB
% 0.66/0.42 % (298885)Instructions burned: 212 (million)
% 0.66/0.42 % (298877)Success in time 0.159 s
% 0.66/0.42 % Vampire exiting
%------------------------------------------------------------------------------