%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP118^1 : 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 : n020.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 08:08:25 AM UTC 2026
% Result : Theorem 1.63s 0.63s
% Output : Refutation 1.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 53 ( 27 unt; 0 typ; 6 def)
% Number of atoms : 87 ( 33 equ; 0 cnn)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 290 ( 35 ~; 28 |; 0 &; 221 @)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 17 ( 16 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 183 ( 181 usr; 24 con; 0-4 aty)
% Number of variables : 16 ( 0 sgn 15 !; 1 ?; 16 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
finite463740460l_num1: $tType ).
thf(type_def_6,type,
finite121157254l_num1: $tType ).
thf(type_def_7,type,
finite337957458num1_n: $tType ).
thf(type_def_8,type,
finite318270636al_n_n: $tType ).
thf(type_def_9,type,
set_Fi1257234438l_num1: $tType ).
thf(type_def_10,type,
finite1183840848l_num1: $tType ).
thf(type_def_11,type,
finite2063899472l_num1: $tType ).
thf(type_def_12,type,
set_Fi1058188332real_n: $tType ).
thf(type_def_13,type,
finite1489363574real_n: $tType ).
thf(type_def_14,type,
finite964658038_int_n: $tType ).
thf(type_def_15,type,
set_real: $tType ).
thf(type_def_16,type,
set_int: $tType ).
thf(type_def_17,type,
numeral_num1: $tType ).
thf(type_def_18,type,
real: $tType ).
thf(type_def_19,type,
int: $tType ).
thf(type_def_20,type,
n: $tType ).
thf(type_def_21,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
archim1371465213g_real: real > int ).
thf(func_def_1,type,
archim1031974863r_real: real > int ).
thf(func_def_2,type,
finite627713486m1_int: numeral_num1 > int > finite2063899472l_num1 ).
thf(func_def_3,type,
finite15144922381_real: numeral_num1 > real > finite1183840848l_num1 ).
thf(func_def_4,type,
finite1888777460_n_int: n > int > finite964658038_int_n ).
thf(func_def_5,type,
finite703491444n_real: n > real > finite1489363574real_n ).
thf(func_def_6,type,
finite1470207077l_num1: int > finite2063899472l_num1 ).
thf(func_def_7,type,
finite55766923_int_n: int > finite964658038_int_n ).
thf(func_def_8,type,
finite1329045861l_num1: real > finite1183840848l_num1 ).
thf(func_def_9,type,
finite667548811real_n: real > finite1489363574real_n ).
thf(func_def_10,type,
finite1449546019l_num1: finite463740460l_num1 > numeral_num1 > finite1183840848l_num1 ).
thf(func_def_11,type,
finite1639785033num1_n: finite337957458num1_n > n > finite1183840848l_num1 ).
thf(func_def_12,type,
finite1503577981l_num1: finite121157254l_num1 > numeral_num1 > finite1489363574real_n ).
thf(func_def_13,type,
finite625646243al_n_n: finite318270636al_n_n > n > finite1489363574real_n ).
thf(func_def_14,type,
finite1800583751l_num1: finite2063899472l_num1 > numeral_num1 > int ).
thf(func_def_15,type,
finite566214509_int_n: finite964658038_int_n > n > int ).
thf(func_def_16,type,
finite1106245191l_num1: finite1183840848l_num1 > numeral_num1 > real ).
thf(func_def_17,type,
finite772340589real_n: finite1489363574real_n > n > real ).
thf(func_def_18,type,
finite1961675766l_num1: real > finite1183840848l_num1 > finite1183840848l_num1 ).
thf(func_def_19,type,
finite2053577756real_n: real > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_20,type,
abs_ab948591917l_num1: finite1183840848l_num1 > finite1183840848l_num1 ).
thf(func_def_21,type,
abs_ab1599551059real_n: finite1489363574real_n > finite1489363574real_n ).
thf(func_def_22,type,
abs_abs_int: int > int ).
thf(func_def_23,type,
abs_abs_real: real > real ).
thf(func_def_24,type,
minus_779068585l_num1: finite2063899472l_num1 > finite2063899472l_num1 > finite2063899472l_num1 ).
thf(func_def_25,type,
minus_1196255695_int_n: finite964658038_int_n > finite964658038_int_n > finite964658038_int_n ).
thf(func_def_26,type,
minus_249161513l_num1: finite1183840848l_num1 > finite1183840848l_num1 > finite1183840848l_num1 ).
thf(func_def_27,type,
minus_1037315151real_n: finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_28,type,
minus_minus_int: int > int > int ).
thf(func_def_29,type,
minus_minus_real: real > real > real ).
thf(func_def_30,type,
one_on601734293l_num1: finite2063899472l_num1 ).
thf(func_def_31,type,
one_on1516019131_int_n: finite964658038_int_n ).
thf(func_def_32,type,
one_on1961019669l_num1: finite1183840848l_num1 ).
thf(func_def_33,type,
one_on1253059131real_n: finite1489363574real_n ).
thf(func_def_34,type,
one_one_int: int ).
thf(func_def_35,type,
one_one_Numeral_num1: numeral_num1 ).
thf(func_def_36,type,
one_one_real: real ).
thf(func_def_37,type,
if_Fin1570437642l_num1: $o > finite2063899472l_num1 > finite2063899472l_num1 > finite2063899472l_num1 ).
thf(func_def_38,type,
if_Fin1767949360_int_n: $o > finite964658038_int_n > finite964658038_int_n > finite964658038_int_n ).
thf(func_def_39,type,
if_Fin1668193290l_num1: $o > finite1183840848l_num1 > finite1183840848l_num1 > finite1183840848l_num1 ).
thf(func_def_40,type,
if_Fin127821360real_n: $o > finite1489363574real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_41,type,
ring_11529266783l_num1: set_Fi1257234438l_num1 ).
thf(func_def_42,type,
ring_1723899781real_n: set_Fi1058188332real_n ).
thf(func_def_43,type,
ring_1_Ints_int: set_int ).
thf(func_def_44,type,
ring_1_Ints_real: set_real ).
thf(func_def_45,type,
ring_1154201247l_num1: int > finite1183840848l_num1 ).
thf(func_def_46,type,
ring_11737179077real_n: int > finite1489363574real_n ).
thf(func_def_47,type,
ring_1_of_int_int: int > int ).
thf(func_def_48,type,
ring_1_of_int_real: int > real ).
thf(func_def_49,type,
minkow781993583real_n: finite2063899472l_num1 > finite121157254l_num1 ).
thf(func_def_50,type,
minkow2063319845m1_int: finite2063899472l_num1 > finite2063899472l_num1 ).
thf(func_def_51,type,
minkow19073400691_real: finite2063899472l_num1 > finite1183840848l_num1 ).
thf(func_def_52,type,
minkow371489429real_n: finite964658038_int_n > finite318270636al_n_n ).
thf(func_def_53,type,
minkow1468704075_n_int: finite964658038_int_n > finite964658038_int_n ).
thf(func_def_54,type,
minkow1134813771n_real: finite964658038_int_n > finite1489363574real_n ).
thf(func_def_55,type,
ord_le2035778724l_num1: finite1183840848l_num1 > finite1183840848l_num1 > $o ).
thf(func_def_56,type,
ord_le1017090250real_n: finite1489363574real_n > finite1489363574real_n > $o ).
thf(func_def_57,type,
ord_less_int: int > int > $o ).
thf(func_def_58,type,
ord_less_real: real > real > $o ).
thf(func_def_59,type,
ord_le1202326448l_num1: finite2063899472l_num1 > finite2063899472l_num1 > $o ).
thf(func_def_60,type,
ord_le1908593622_int_n: finite964658038_int_n > finite964658038_int_n > $o ).
thf(func_def_61,type,
ord_le1724070576l_num1: finite1183840848l_num1 > finite1183840848l_num1 > $o ).
thf(func_def_62,type,
ord_le866583254real_n: finite1489363574real_n > finite1489363574real_n > $o ).
thf(func_def_63,type,
ord_less_eq_int: int > int > $o ).
thf(func_def_64,type,
ord_less_eq_real: real > real > $o ).
thf(func_def_65,type,
real_V1974343547l_num1: finite463740460l_num1 > finite463740460l_num1 > real ).
thf(func_def_66,type,
real_V845814485l_num1: finite121157254l_num1 > finite121157254l_num1 > real ).
thf(func_def_67,type,
real_V488409631l_num1: finite1183840848l_num1 > finite1183840848l_num1 > real ).
thf(func_def_68,type,
real_V783965509real_n: finite1489363574real_n > finite1489363574real_n > real ).
thf(func_def_69,type,
real_V1934908667t_real: real > real > real ).
thf(func_def_70,type,
real_V316032763l_num1: finite463740460l_num1 > real ).
thf(func_def_71,type,
real_V1121707553num1_n: finite337957458num1_n > real ).
thf(func_def_72,type,
real_V400292255l_num1: finite1183840848l_num1 > real ).
thf(func_def_73,type,
real_V739724485real_n: finite1489363574real_n > real ).
thf(func_def_74,type,
real_V646646907m_real: real > real ).
thf(func_def_75,type,
collec321817931real_n: ( finite1489363574real_n > $o ) > set_Fi1058188332real_n ).
thf(func_def_76,type,
collect_real: ( real > $o ) > set_real ).
thf(func_def_77,type,
member1413569767l_num1: finite1183840848l_num1 > set_Fi1257234438l_num1 > $o ).
thf(func_def_78,type,
member1352538125real_n: finite1489363574real_n > set_Fi1058188332real_n > $o ).
thf(func_def_79,type,
member_int: int > set_int > $o ).
thf(func_def_80,type,
member_real: real > set_real > $o ).
thf(func_def_81,type,
a: set_Fi1058188332real_n ).
thf(func_def_82,type,
i: n ).
thf(func_def_83,type,
m: int ).
thf(func_def_84,type,
x: finite1489363574real_n ).
thf(func_def_85,type,
y: finite1489363574real_n ).
thf(func_def_89,type,
vAND: $o > $o > $o ).
thf(func_def_90,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_91,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_92,type,
vNOT: $o > $o ).
thf(func_def_93,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_94,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_95,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_96,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_97,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_98,type,
vOR: $o > $o > $o ).
thf(func_def_99,type,
sP0: int > int > int > $o ).
thf(func_def_100,type,
sP1: int > int > int > $o ).
thf(func_def_101,type,
sP2: real > real > real > $o ).
thf(func_def_102,type,
sP3: real > real > real > $o ).
thf(func_def_103,type,
sK4: finite1489363574real_n > int ).
thf(func_def_104,type,
sK5: set_real > real > real > real ).
thf(func_def_105,type,
sK6: ( int > int ) > int ).
thf(func_def_106,type,
sK7: ( int > int ) > int ).
thf(func_def_107,type,
sK8: ( real > real ) > real ).
thf(func_def_108,type,
sK9: ( real > real ) > real ).
thf(func_def_109,type,
sK10: ( real > real ) > real ).
thf(func_def_110,type,
sK11: ( real > real ) > real ).
thf(func_def_111,type,
sK12: int > ( int > $o ) > int ).
thf(func_def_112,type,
sK13: real > int ).
thf(func_def_113,type,
sK14: real > int ).
thf(func_def_114,type,
sK15: int > int ).
thf(func_def_115,type,
sK16: finite1489363574real_n > finite1489363574real_n > n ).
thf(func_def_116,type,
sK17: real > ( int > $o ) > int ).
thf(func_def_117,type,
sK18: ( int > int ) > int ).
thf(func_def_118,type,
sK19: ( int > int ) > int ).
thf(func_def_119,type,
sK20: real > int ).
thf(func_def_120,type,
sK21: ( real > int ) > real ).
thf(func_def_121,type,
sK22: ( real > int ) > real ).
thf(func_def_122,type,
sK23: ( finite1489363574real_n > $o ) > int ).
thf(func_def_123,type,
sK24: real > int ).
thf(func_def_124,type,
sK25: ( int > $o ) > int > int > int ).
thf(func_def_125,type,
sK26: int > ( int > $o ) > int > int ).
thf(func_def_126,type,
sK27: finite1183840848l_num1 > finite463740460l_num1 > numeral_num1 ).
thf(func_def_127,type,
sK28: real > int ).
thf(func_def_128,type,
sK29: ( real > $o ) > int ).
thf(func_def_129,type,
sK30: ( int > real ) > int ).
thf(func_def_130,type,
sK31: ( int > real ) > int ).
thf(func_def_131,type,
sK32: finite1183840848l_num1 > set_Fi1257234438l_num1 > finite1183840848l_num1 > finite1183840848l_num1 ).
thf(func_def_132,type,
sK33: real > int ).
thf(func_def_133,type,
sK34: finite1183840848l_num1 > finite1183840848l_num1 > numeral_num1 ).
thf(func_def_134,type,
sK35: finite1489363574real_n > finite337957458num1_n > n ).
thf(func_def_135,type,
sK36: finite1489363574real_n > set_Fi1058188332real_n > finite1489363574real_n > finite1489363574real_n ).
thf(func_def_136,type,
sK37: ( int > real ) > int ).
thf(func_def_137,type,
sK38: ( int > real ) > int ).
thf(func_def_138,type,
sK39: numeral_num1 > ( numeral_num1 > int > $o ) > int ).
thf(func_def_139,type,
sK40: finite2063899472l_num1 > ( numeral_num1 > int > $o ) > numeral_num1 ).
thf(func_def_140,type,
sK41: ( numeral_num1 > int > $o ) > finite2063899472l_num1 ).
thf(func_def_141,type,
sK42: ( numeral_num1 > int > $o ) > numeral_num1 ).
thf(func_def_142,type,
sK43: ( int > int > $o ) > int ).
thf(func_def_143,type,
sK44: ( int > int > $o ) > int ).
thf(func_def_144,type,
sK45: ( int > int > $o ) > int ).
thf(func_def_145,type,
sK46: ( int > int > $o ) > int ).
thf(func_def_146,type,
sK47: finite337957458num1_n > finite1489363574real_n > n ).
thf(func_def_147,type,
sK48: ( real > int ) > real ).
thf(func_def_148,type,
sK49: ( real > int ) > real ).
thf(func_def_149,type,
sK50: n > ( n > real > $o ) > real ).
thf(func_def_150,type,
sK51: finite1489363574real_n > ( n > real > $o ) > n ).
thf(func_def_151,type,
sK52: ( n > real > $o ) > finite1489363574real_n ).
thf(func_def_152,type,
sK53: ( n > real > $o ) > n ).
thf(func_def_153,type,
sK54: finite1183840848l_num1 > finite463740460l_num1 > numeral_num1 ).
thf(func_def_154,type,
sK55: ( int > $o ) > int ).
thf(func_def_155,type,
sK56: real > set_real > real ).
thf(func_def_156,type,
sK57: set_real > real ).
thf(func_def_157,type,
sK58: real > set_real > real ).
thf(func_def_158,type,
sK59: n > ( n > int > $o ) > int ).
thf(func_def_159,type,
sK60: finite964658038_int_n > ( n > int > $o ) > n ).
thf(func_def_160,type,
sK61: ( n > int > $o ) > finite964658038_int_n ).
thf(func_def_161,type,
sK62: ( n > int > $o ) > n ).
thf(func_def_162,type,
sK63: int ).
thf(func_def_163,type,
sK64: numeral_num1 > ( numeral_num1 > real > $o ) > real ).
thf(func_def_164,type,
sK65: finite1183840848l_num1 > ( numeral_num1 > real > $o ) > numeral_num1 ).
thf(func_def_165,type,
sK66: ( numeral_num1 > real > $o ) > finite1183840848l_num1 ).
thf(func_def_166,type,
sK67: ( numeral_num1 > real > $o ) > numeral_num1 ).
thf(func_def_167,type,
sK68: ( real > $o ) > real > real > real ).
thf(func_def_168,type,
sK69: real > ( real > $o ) > real > real ).
thf(func_def_169,type,
sK70: ( real > real > $o ) > real ).
thf(func_def_170,type,
sK71: ( real > real > $o ) > real ).
thf(func_def_171,type,
sK72: ( real > real > $o ) > real ).
thf(func_def_172,type,
sK73: ( real > real > $o ) > real ).
thf(func_def_173,type,
sK74: int > ( int > $o ) > int ).
thf(func_def_175,type,
inv_ring_1_of_int_real_76: real > int ).
thf(func_def_176,type,
inv_finite772340589real_n_77: ( n > real ) > finite1489363574real_n ).
thf(func_def_177,type,
sK78: finite1489363574real_n > finite1489363574real_n > n ).
thf(f3,axiom,
( ( ring_1_of_int_real @ m )
= ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_m) ).
thf(f4,axiom,
~ ! [X0: int] :
( ( ring_1_of_int_real @ X0 )
!= ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062m_O_Areal__of__int_Am_A_061_Ax_A_E_Ai_A_N_Ay_A_E_Ai_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(f7,axiom,
! [X1: finite1489363574real_n,X0: finite1489363574real_n,X2: n] :
( ( finite772340589real_n @ ( minus_1037315151real_n @ X0 @ X1 ) @ X2 )
= ( minus_minus_real @ ( finite772340589real_n @ X0 @ X2 ) @ ( finite772340589real_n @ X1 @ X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6_vector__minus__component) ).
thf(f10,axiom,
! [X0: int] :
( ( ring_1_of_int_real @ ( abs_abs_int @ X0 ) )
= ( abs_abs_real @ ( ring_1_of_int_real @ X0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_of__int__abs) ).
thf(f364,conjecture,
( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
= ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f365,negated_conjecture,
( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
!= ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ),
inference(negated_conjecture,[status(cth)],[f364]) ).
thf(f823,plain,
! [X1: finite1489363574real_n,X0: finite1489363574real_n,X2: n] :
( ( minus_minus_real @ ( finite772340589real_n @ X1 @ X2 ) @ ( finite772340589real_n @ X0 @ X2 ) )
= ( finite772340589real_n @ ( minus_1037315151real_n @ X1 @ X0 ) @ X2 ) ),
inference(rectify,[],[f7]) ).
thf(f861,plain,
( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
!= ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ),
inference(flattening,[],[f365]) ).
thf(f889,plain,
? [X0: int] :
( ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) )
= ( ring_1_of_int_real @ X0 ) ),
inference(ennf_transformation,[],[f4]) ).
thf(f1240,plain,
! [X0: finite1489363574real_n,X1: finite1489363574real_n,X2: n] :
( ( finite772340589real_n @ ( minus_1037315151real_n @ X0 @ X1 ) @ X2 )
= ( minus_minus_real @ ( finite772340589real_n @ X0 @ X2 ) @ ( finite772340589real_n @ X1 @ X2 ) ) ),
inference(rectify,[],[f823]) ).
thf(f1289,plain,
( ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) )
= ( ring_1_of_int_real @ sK63 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK63]),skolemize(X0,sK63)],[f889]) ).
thf(f1594,plain,
( ( ring_1_of_int_real @ m )
= ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ),
inference(cnf_transformation,[],[f3]) ).
thf(f1597,plain,
! [X0: int] :
( ( ring_1_of_int_real @ ( abs_abs_int @ X0 ) )
= ( abs_abs_real @ ( ring_1_of_int_real @ X0 ) ) ),
inference(cnf_transformation,[],[f10]) ).
thf(f1600,plain,
( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
!= ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ),
inference(cnf_transformation,[],[f861]) ).
thf(f1625,plain,
! [X2: n,X0: finite1489363574real_n,X1: finite1489363574real_n] :
( ( finite772340589real_n @ ( minus_1037315151real_n @ X0 @ X1 ) @ X2 )
= ( minus_minus_real @ ( finite772340589real_n @ X0 @ X2 ) @ ( finite772340589real_n @ X1 @ X2 ) ) ),
inference(cnf_transformation,[],[f1240]) ).
thf(f1720,plain,
( ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) )
= ( ring_1_of_int_real @ sK63 ) ),
inference(cnf_transformation,[],[f1289]) ).
thf(f1993,definition,
( spl75_5
<=> ( ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) )
= ( ring_1_of_int_real @ sK63 ) ) ),
introduced(definition,[new_symbols(definition,[spl75_5])],[avatar_definition]) ).
thf(f1995,plain,
( ( ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) )
= ( ring_1_of_int_real @ sK63 ) )
| ~ spl75_5 ),
inference(avatar_component_clause,[],[f1993]) ).
thf(f1996,plain,
spl75_5,
inference(avatar_split_clause,[],[f1720,f1993]) ).
thf(f2133,definition,
( spl75_33
<=> ( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
= ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) ) ),
introduced(definition,[new_symbols(definition,[spl75_33])],[avatar_definition]) ).
thf(f2135,plain,
( ( ( ring_1_of_int_real @ ( abs_abs_int @ m ) )
!= ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) ) )
| spl75_33 ),
inference(avatar_component_clause,[],[f2133]) ).
thf(f2136,plain,
~ spl75_33,
inference(avatar_split_clause,[],[f1600,f2133]) ).
thf(f2143,definition,
( spl75_35
<=> ( ( ring_1_of_int_real @ m )
= ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ) ),
introduced(definition,[new_symbols(definition,[spl75_35])],[avatar_definition]) ).
thf(f2145,plain,
( ( ( ring_1_of_int_real @ m )
= ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) )
| ~ spl75_35 ),
inference(avatar_component_clause,[],[f2143]) ).
thf(f2146,plain,
spl75_35,
inference(avatar_split_clause,[],[f1594,f2143]) ).
thf(f2263,plain,
( ( ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) )
!= ( abs_abs_real @ ( ring_1_of_int_real @ m ) ) )
| spl75_33 ),
inference(superposition,[],[f2135,f1597]) ).
thf(f2268,definition,
( spl75_56
<=> ( ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) )
= ( abs_abs_real @ ( ring_1_of_int_real @ m ) ) ) ),
introduced(definition,[new_symbols(definition,[spl75_56])],[avatar_definition]) ).
thf(f2270,plain,
( ( ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) )
!= ( abs_abs_real @ ( ring_1_of_int_real @ m ) ) )
| spl75_56 ),
inference(avatar_component_clause,[],[f2268]) ).
thf(f2271,plain,
( ~ spl75_56
| spl75_33 ),
inference(avatar_split_clause,[],[f2263,f2133,f2268]) ).
thf(f2478,plain,
( ( ( ring_1_of_int_real @ m )
= ( ring_1_of_int_real @ sK63 ) )
| ~ spl75_5
| ~ spl75_35 ),
inference(forward_demodulation,[],[f2145,f1995]) ).
thf(f2480,definition,
( spl75_68
<=> ( ( ring_1_of_int_real @ m )
= ( ring_1_of_int_real @ sK63 ) ) ),
introduced(definition,[new_symbols(definition,[spl75_68])],[avatar_definition]) ).
thf(f2482,plain,
( ( ( ring_1_of_int_real @ m )
= ( ring_1_of_int_real @ sK63 ) )
| ~ spl75_68 ),
inference(avatar_component_clause,[],[f2480]) ).
thf(f2483,plain,
( spl75_68
| ~ spl75_5
| ~ spl75_35 ),
inference(avatar_split_clause,[],[f2478,f2143,f1993,f2480]) ).
thf(f2484,plain,
( ( ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) )
!= ( abs_abs_real @ ( ring_1_of_int_real @ sK63 ) ) )
| spl75_56
| ~ spl75_68 ),
inference(superposition,[],[f2270,f2482]) ).
thf(f2495,definition,
( spl75_70
<=> ( ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) )
= ( abs_abs_real @ ( ring_1_of_int_real @ sK63 ) ) ) ),
introduced(definition,[new_symbols(definition,[spl75_70])],[avatar_definition]) ).
thf(f2497,plain,
( ( ( abs_abs_real @ ( finite772340589real_n @ ( minus_1037315151real_n @ x @ y ) @ i ) )
!= ( abs_abs_real @ ( ring_1_of_int_real @ sK63 ) ) )
| spl75_70 ),
inference(avatar_component_clause,[],[f2495]) ).
thf(f2498,plain,
( ~ spl75_70
| spl75_56
| ~ spl75_68 ),
inference(avatar_split_clause,[],[f2484,f2480,f2268,f2495]) ).
thf(f2925,plain,
( ( ( abs_abs_real @ ( ring_1_of_int_real @ sK63 ) )
!= ( abs_abs_real @ ( minus_minus_real @ ( finite772340589real_n @ x @ i ) @ ( finite772340589real_n @ y @ i ) ) ) )
| spl75_70 ),
inference(superposition,[],[f2497,f1625]) ).
thf(f2933,plain,
( ( ( abs_abs_real @ ( ring_1_of_int_real @ sK63 ) )
!= ( abs_abs_real @ ( ring_1_of_int_real @ sK63 ) ) )
| ~ spl75_5
| spl75_70 ),
inference(forward_demodulation,[],[f2925,f1995]) ).
thf(f2934,plain,
( $false
| ~ spl75_5
| spl75_70 ),
inference(trivial_inequality_removal,[],[f2933]) ).
thf(f2935,plain,
( ~ spl75_5
| spl75_70 ),
inference(avatar_contradiction_clause,[],[f2934]) ).
cnf(s5,plain,
spl75_5,
inference(sat_conversion,[],[f1996]) ).
cnf(s35,plain,
~ spl75_33,
inference(sat_conversion,[],[f2136]) ).
cnf(s37,plain,
spl75_35,
inference(sat_conversion,[],[f2146]) ).
cnf(s64,plain,
( spl75_33
| ~ spl75_56 ),
inference(sat_conversion,[],[f2271]) ).
cnf(s77,plain,
( ~ spl75_5
| ~ spl75_35
| spl75_68 ),
inference(sat_conversion,[],[f2483]) ).
cnf(s79,plain,
( spl75_56
| ~ spl75_68
| ~ spl75_70 ),
inference(sat_conversion,[],[f2498]) ).
cnf(s90,plain,
( ~ spl75_5
| spl75_70 ),
inference(sat_conversion,[],[f2935]) ).
cnf(s91,plain,
~ spl75_56,
inference(rat,[],[s64,s35]) ).
cnf(s103,plain,
spl75_70,
inference(rat,[],[s90,s5]) ).
cnf(s108,plain,
spl75_68,
inference(rat,[],[s77,s37,s5]) ).
cnf(s110,plain,
$false,
inference(rat,[],[s79,s91,s103,s108]) ).
thf(f2941,plain,
$false,
inference(avatar_sat_refutation,[],[s110]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP118^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 % Computer : n020.cluster.edu
% 0.09/0.24 % Model : x86_64 x86_64
% 0.09/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.24 % Memory : 8046.5625MB
% 0.09/0.24 % OS : Linux 6.8.0-71-generic
% 0.09/0.24 % CPULimit : 300
% 0.09/0.24 % WCLimit : 300
% 0.09/0.24 % DateTime : Tue Sep 29 19:57:04 UTC 2026
% 0.09/0.24 % CPUTime :
% 0.09/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.29 Running higher-order theorem proving
% 0.23/0.35 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
% 0.90/0.57 % (1516072)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.90/0.57 % (1516078)lrs+10_16_si=on:nwc=1.5:random_seed=2052518921:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.90/0.57 % (1516083)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.90/0.57 % (1516083)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
% 0.90/0.57 % (1516083)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=2491382291:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.90/0.57 % (1516078)Instruction limit reached!
% 0.90/0.57 % (1516078)------------------------------
% 0.90/0.57 % (1516078)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.57 % (1516078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.57 % (1516078)CaDiCaL version: 2.1.3
% 0.90/0.57 % (1516078)Termination reason: Instruction limit
% 0.90/0.57 % (1516078)Termination phase: Property scanning
% 0.90/0.57 % (1516078)Time elapsed: 0.008 s
% 0.90/0.57 % (1516078)Peak memory usage: 10 MB
% 0.90/0.57 % (1516078)Instructions burned: 18 (million)
% 0.90/0.57 % (1516077)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3121033964:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.90/0.57 % (1516079)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1265352072:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.90/0.57 % (1516081)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=1577270257:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.90/0.57 % (1516080)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=178519627: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)
% 0.90/0.57 % (1516082)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=2297719669:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.90/0.57 % (1516079)Instruction limit reached!
% 0.90/0.57 % (1516079)------------------------------
% 0.90/0.57 % (1516079)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.57 % (1516079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.57 % (1516079)CaDiCaL version: 2.1.3
% 0.90/0.57 % (1516079)Termination reason: Instruction limit
% 0.90/0.57 % (1516079)Termination phase: shuffling
% 0.90/0.57 % (1516079)Time elapsed: 0.003 s
% 0.90/0.57 % (1516079)Peak memory usage: 10 MB
% 0.90/0.57 % (1516079)Instructions burned: 3 (million)
% 0.90/0.57 % (1516086)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2493876133:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.57 % (1516086)Instruction limit reached!
% 0.90/0.57 % (1516086)------------------------------
% 0.90/0.57 % (1516086)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.57 % (1516086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.57 % (1516086)CaDiCaL version: 2.1.3
% 0.90/0.57 % (1516086)Termination reason: Instruction limit
% 0.90/0.57 % (1516086)Termination phase: shuffling
% 0.90/0.57 % (1516086)Time elapsed: 0.002 s
% 0.90/0.57 % (1516086)Peak memory usage: 10 MB
% 0.90/0.57 % (1516086)Instructions burned: 4 (million)
% 0.90/0.57 % (1516081)Instruction limit reached!
% 0.90/0.57 % (1516081)------------------------------
% 0.90/0.57 % (1516081)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.57 % (1516081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.57 % (1516081)CaDiCaL version: 2.1.3
% 0.90/0.57 % (1516081)Termination reason: Instruction limit
% 0.90/0.57 % (1516081)Termination phase: Property scanning
% 0.90/0.57 % (1516081)Time elapsed: 0.021 s
% 0.90/0.57 % (1516081)Peak memory usage: 10 MB
% 0.90/0.57 % (1516081)Instructions burned: 25 (million)
% 0.90/0.57 % (1516092)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3440255267:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 1.63/0.62 % (1516094)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.62 % (1516092)Instruction limit reached!
% 1.63/0.62 % (1516092)------------------------------
% 1.63/0.62 % (1516092)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.62 % (1516092)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.62 % (1516092)CaDiCaL version: 2.1.3
% 1.63/0.62 % (1516092)Termination reason: Instruction limit
% 1.63/0.62 % (1516092)Termination phase: shuffling
% 1.63/0.62 % (1516092)Time elapsed: 0.005 s
% 1.63/0.62 % (1516092)Peak memory usage: 10 MB
% 1.63/0.62 % (1516092)Instructions burned: 5 (million)
% 1.63/0.62 % (1516094)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1253728980:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.63/0.62 % (1516095)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2176645751:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.63/0.62 % (1516094)Instruction limit reached!
% 1.63/0.62 % (1516094)------------------------------
% 1.63/0.62 % (1516094)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.62 % (1516094)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.62 % (1516094)CaDiCaL version: 2.1.3
% 1.63/0.62 % (1516094)Termination reason: Instruction limit
% 1.63/0.62 % (1516094)Termination phase: shuffling
% 1.63/0.62 % (1516094)Time elapsed: 0.007 s
% 1.63/0.62 % (1516094)Peak memory usage: 10 MB
% 1.63/0.62 % (1516094)Instructions burned: 8 (million)
% 1.63/0.62 % (1516095)Instruction limit reached!
% 1.63/0.62 % (1516095)------------------------------
% 1.63/0.62 % (1516095)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.62 % (1516095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.62 % (1516095)CaDiCaL version: 2.1.3
% 1.63/0.62 % (1516095)Termination reason: Instruction limit
% 1.63/0.62 % (1516095)Termination phase: shuffling
% 1.63/0.62 % (1516095)Time elapsed: 0.006 s
% 1.63/0.62 % (1516095)Peak memory usage: 10 MB
% 1.63/0.62 % (1516095)Instructions burned: 13 (million)
% 1.63/0.62 % (1516082)Instruction limit reached!
% 1.63/0.62 % (1516082)------------------------------
% 1.63/0.62 % (1516082)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.62 % (1516082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.62 % (1516082)CaDiCaL version: 2.1.3
% 1.63/0.62 % (1516082)Termination reason: Instruction limit
% 1.63/0.62 % (1516082)Termination phase: Equality resolution with deletion
% 1.63/0.62 % (1516082)Time elapsed: 0.063 s
% 1.63/0.62 % (1516082)Peak memory usage: 12 MB
% 1.63/0.62 % (1516082)Instructions burned: 75 (million)
% 1.63/0.62 % (1516077)Instruction limit reached!
% 1.63/0.62 % (1516077)------------------------------
% 1.63/0.62 % (1516077)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.62 % (1516077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.62 % (1516077)CaDiCaL version: 2.1.3
% 1.63/0.62 % (1516077)Termination reason: Instruction limit
% 1.63/0.62 % (1516077)Termination phase: Property scanning
% 1.63/0.62 % (1516077)Time elapsed: 0.071 s
% 1.63/0.62 % (1516077)Peak memory usage: 12 MB
% 1.63/0.62 % (1516077)Instructions burned: 87 (million)
% 1.63/0.62 % (1516097)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
% 1.63/0.62 % (1516097)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.63/0.62 % (1516097)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=414801948:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2998 on theBenchmark for (2998ds/28Mi)
% 1.63/0.62 % (1516102)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.63/0.62 % (1516102)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=1071664633:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.63/0.63 % (1516101)lrs+10_1_si=on:cs=on:random_seed=2840854785:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 1.63/0.63 % (1516102)Instruction limit reached!
% 1.63/0.63 % (1516102)------------------------------
% 1.63/0.63 % (1516102)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516102)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516102)Termination reason: Instruction limit
% 1.63/0.63 % (1516102)Termination phase: shuffling
% 1.63/0.63 % (1516102)Time elapsed: 0.002 s
% 1.63/0.63 % (1516102)Peak memory usage: 10 MB
% 1.63/0.63 % (1516102)Instructions burned: 4 (million)
% 1.63/0.63 % (1516100)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=3438699760:i=86:piset=equals:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/86Mi)
% 1.63/0.63 % (1516101)Instruction limit reached!
% 1.63/0.63 % (1516101)------------------------------
% 1.63/0.63 % (1516101)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516101)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516101)Termination reason: Instruction limit
% 1.63/0.63 % (1516101)Termination phase: shuffling
% 1.63/0.63 % (1516101)Time elapsed: 0.005 s
% 1.63/0.63 % (1516101)Peak memory usage: 10 MB
% 1.63/0.63 % (1516101)Instructions burned: 9 (million)
% 1.63/0.63 % (1516103)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3285146274:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.63/0.63 % (1516097)Instruction limit reached!
% 1.63/0.63 % (1516097)------------------------------
% 1.63/0.63 % (1516097)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516097)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516097)Termination reason: Instruction limit
% 1.63/0.63 % (1516097)Termination phase: shuffling
% 1.63/0.63 % (1516097)Time elapsed: 0.024 s
% 1.63/0.63 % (1516097)Peak memory usage: 10 MB
% 1.63/0.63 % (1516097)Instructions burned: 29 (million)
% 1.63/0.63 % (1516107)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=819397994:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.63/0.63 % (1516083)Instruction limit reached!
% 1.63/0.63 % (1516083)------------------------------
% 1.63/0.63 % (1516083)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516083)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516083)Termination reason: Instruction limit
% 1.63/0.63 % (1516083)Termination phase: Saturation
% 1.63/0.63 % (1516083)Time elapsed: 0.127 s
% 1.63/0.63 % (1516083)Peak memory usage: 13 MB
% 1.63/0.63 % (1516083)Instructions burned: 157 (million)
% 1.63/0.63 % (1516111)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=2972543191:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.63/0.63 % (1516109)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2133527473:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.63/0.63 % (1516111)Instruction limit reached!
% 1.63/0.63 % (1516111)------------------------------
% 1.63/0.63 % (1516111)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516111)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516111)Termination reason: Instruction limit
% 1.63/0.63 % (1516111)Termination phase: shuffling
% 1.63/0.63 % (1516111)Time elapsed: 0.007 s
% 1.63/0.63 % (1516111)Peak memory usage: 10 MB
% 1.63/0.63 % (1516111)Instructions burned: 15 (million)
% 1.63/0.63 % (1516103)Instruction limit reached!
% 1.63/0.63 % (1516103)------------------------------
% 1.63/0.63 % (1516103)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516103)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516103)Termination reason: Instruction limit
% 1.63/0.63 % (1516103)Termination phase: Preprocessing 3
% 1.63/0.63 % (1516103)Time elapsed: 0.032 s
% 1.63/0.63 % (1516103)Peak memory usage: 11 MB
% 1.63/0.63 % (1516103)Instructions burned: 38 (million)
% 1.63/0.63 % (1516107)Refutation not found, incomplete strategy
% 1.63/0.63 % (1516107)------------------------------
% 1.63/0.63 % (1516107)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516107)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516107)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516107)Termination reason: Refutation not found, incomplete strategy
% 1.63/0.63 % (1516107)Time elapsed: 0.031 s
% 1.63/0.63 % (1516107)Peak memory usage: 13 MB
% 1.63/0.63 % (1516107)Instructions burned: 47 (million)
% 1.63/0.63 % (1516107)------------------------------
% 1.63/0.63 % (1516107)------------------------------
% 1.63/0.63 % (1516116)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1259007898:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.63/0.63 % (1516109)Instruction limit reached!
% 1.63/0.63 % (1516109)------------------------------
% 1.63/0.63 % (1516109)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516109)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516109)Termination reason: Instruction limit
% 1.63/0.63 % (1516109)Termination phase: Property scanning
% 1.63/0.63 % (1516109)Time elapsed: 0.024 s
% 1.63/0.63 % (1516109)Peak memory usage: 11 MB
% 1.63/0.63 % (1516109)Instructions burned: 29 (million)
% 1.63/0.63 % (1516113)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=1056962363:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.63/0.63 % (1516116)Instruction limit reached!
% 1.63/0.63 % (1516116)------------------------------
% 1.63/0.63 % (1516116)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516116)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516116)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516116)Termination reason: Instruction limit
% 1.63/0.63 % (1516116)Termination phase: shuffling
% 1.63/0.63 % (1516116)Time elapsed: 0.007 s
% 1.63/0.63 % (1516116)Peak memory usage: 10 MB
% 1.63/0.63 % (1516116)Instructions burned: 16 (million)
% 1.63/0.63 % (1516100)Instruction limit reached!
% 1.63/0.63 % (1516100)------------------------------
% 1.63/0.63 % (1516100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516100)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516100)Termination reason: Instruction limit
% 1.63/0.63 % (1516100)Termination phase: Property scanning
% 1.63/0.63 % (1516100)Time elapsed: 0.070 s
% 1.63/0.63 % (1516100)Peak memory usage: 11 MB
% 1.63/0.63 % (1516100)Instructions burned: 87 (million)
% 1.63/0.63 % (1516117)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=1178227580:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2997 on theBenchmark for (2997ds/2Mi)
% 1.63/0.63 % (1516117)Instruction limit reached!
% 1.63/0.63 % (1516117)------------------------------
% 1.63/0.63 % (1516117)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.63 % (1516117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.63 % (1516117)CaDiCaL version: 2.1.3
% 1.63/0.63 % (1516117)Termination reason: Instruction limit
% 1.63/0.63 % (1516117)Termination phase: shuffling
% 1.63/0.63 % (1516117)Time elapsed: 0.003 s
% 1.63/0.63 % (1516117)Peak memory usage: 10 MB
% 1.63/0.63 % (1516117)Instructions burned: 2 (million)
% 1.63/0.63 % (1516122)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=191564597:cond=on:i=60:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/60Mi)
% 1.63/0.63 % (1516118)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=160587637:i=26:ep=R:rtra=on:ntd=on_2997 on theBenchmark for (2997ds/26Mi)
% 1.63/0.63 % (1516121)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=995962144:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2997 on theBenchmark for (2997ds/23Mi)
% 1.63/0.63 % (1516123)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
% 1.63/0.63 % (1516123)WARNING Broken Constraint: if lrs_weight_limit_only(on) has been set then saturation_algorithm(otter) is equal to lrs
% 1.63/0.63 % (1516080) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1516072-1516080"...
% 1.63/0.63 % (1516123)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=650692368:i=14:add=off:nm=40:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/14Mi)
% 1.63/0.63 % (1516126)WARNING Broken Constraint: if choice_reasoning(on) has been set then choice_ax(on) is equal to off
% 1.63/0.63 % (1516080)...printing done.
% 1.63/0.63 % (1516126)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=2221360741:i=8:nm=2:rtra=on:fe=abstraction:inj=on_2997 on theBenchmark for (2997ds/8Mi)
% 1.63/0.63 % (1516080)Refutation found. Thanks to Tanya!
% 1.63/0.63 % SZS status Theorem for theBenchmark
% 1.63/0.63 % SZS output start Proof for theBenchmark
% See solution above
% 1.63/0.64 % (1516080)------------------------------
% 1.63/0.64 % (1516080)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.63/0.64 % (1516080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.63/0.64 % (1516080)CaDiCaL version: 2.1.3
% 1.63/0.64 % (1516080)Termination reason: Refutation
% 1.63/0.64 % (1516080)Time elapsed: 0.194 s
% 1.63/0.64 % (1516080)Peak memory usage: 15 MB
% 1.63/0.64 % (1516080)Instructions burned: 215 (million)
% 1.63/0.64 % (1516072)Success in time 0.268 s
% 1.63/0.64 % Vampire exiting
%------------------------------------------------------------------------------