%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP083^1 : 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 : n013.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 08:08:16 AM UTC 2026
% Result : Theorem 1.06s 0.49s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 70 ( 20 equ; 0 cnn)
% Maximal formula atoms : 2 ( 3 avg)
% Number of connectives : 213 ( 20 ~; 4 |; 0 &; 186 @)
% ( 0 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Number of types : 53 ( 52 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 159 ( 156 usr; 13 con; 0-8 aty)
% Number of variables : 25 ( 0 ^; 24 !; 1 ?; 25 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
list_P88441325et_val: $tType ).
thf(type_def_6,type,
set_Pr1587248327et_val: $tType ).
thf(type_def_7,type,
produc1904584935et_val: $tType ).
thf(type_def_8,type,
list_P729276995de_val: $tType ).
thf(type_def_9,type,
set_Pr819703837de_val: $tType ).
thf(type_def_10,type,
produc452075965de_val: $tType ).
thf(type_def_11,type,
list_P1108777338de_val: $tType ).
thf(type_def_12,type,
list_P844977291de_val: $tType ).
thf(type_def_13,type,
set_Pr1245322836de_val: $tType ).
thf(type_def_14,type,
set_Pr701036849de_val: $tType ).
thf(type_def_15,type,
list_P2089461677et_val: $tType ).
thf(type_def_16,type,
set_Pr1311924359et_val: $tType ).
thf(type_def_17,type,
produc1615737844de_val: $tType ).
thf(type_def_18,type,
produc1664334075de_val: $tType ).
thf(type_def_19,type,
list_P12184414et_val: $tType ).
thf(type_def_20,type,
list_P1414038306l_node: $tType ).
thf(type_def_21,type,
list_P761482893et_val: $tType ).
thf(type_def_22,type,
list_P940784845al_val: $tType ).
thf(type_def_23,type,
set_Pr1320419588et_val: $tType ).
thf(type_def_24,type,
set_Pr574789832l_node: $tType ).
thf(type_def_25,type,
set_Pr978022247et_val: $tType ).
thf(type_def_26,type,
set_Pr1157324199al_val: $tType ).
thf(type_def_27,type,
produc1324971431et_val: $tType ).
thf(type_def_28,type,
list_P561207620_edgeD: $tType ).
thf(type_def_29,type,
list_P1127016369e_node: $tType ).
thf(type_def_30,type,
list_P1078858818l_node: $tType ).
thf(type_def_31,type,
list_P1820443774de_val: $tType ).
thf(type_def_32,type,
set_Pr9085835e_node: $tType ).
thf(type_def_33,type,
list_P1811375021al_val: $tType ).
thf(type_def_34,type,
set_Pr2105655784l_node: $tType ).
thf(type_def_35,type,
set_Pr699757092de_val: $tType ).
thf(type_def_36,type,
produc1062784462et_val: $tType ).
thf(type_def_37,type,
produc1013974930l_node: $tType ).
thf(type_def_38,type,
set_Pr700443783al_val: $tType ).
thf(type_def_39,type,
produc1858904199et_val: $tType ).
thf(type_def_40,type,
produc782216903al_val: $tType ).
thf(type_def_41,type,
produc951622955e_node: $tType ).
thf(type_def_42,type,
option_list_val: $tType ).
thf(type_def_43,type,
produc1946948786l_node: $tType ).
thf(type_def_44,type,
produc1432036078de_val: $tType ).
thf(type_def_45,type,
product_prod_val_val: $tType ).
thf(type_def_46,type,
option_set_val: $tType ).
thf(type_def_47,type,
list_set_val: $tType ).
thf(type_def_48,type,
set_set_val: $tType ).
thf(type_def_49,type,
list_node: $tType ).
thf(type_def_50,type,
list_val: $tType ).
thf(type_def_51,type,
set_node: $tType ).
thf(type_def_52,type,
set_val: $tType ).
thf(type_def_53,type,
node: $tType ).
thf(type_def_54,type,
var: $tType ).
thf(type_def_55,type,
val: $tType ).
thf(type_def_56,type,
g: $tType ).
thf(type_def_57,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
finite79836624et_val: set_Pr1311924359et_val > $o ).
thf(func_def_1,type,
finite2056463621de_val: set_Pr699757092de_val > $o ).
thf(func_def_2,type,
finite781217938de_val: set_Pr701036849de_val > $o ).
thf(func_def_3,type,
finite1581417648et_val: set_Pr978022247et_val > $o ).
thf(func_def_4,type,
finite423892681l_node: set_Pr2105655784l_node > $o ).
thf(func_def_5,type,
finite759259600al_val: set_Pr700443783al_val > $o ).
thf(func_def_6,type,
finite1265617511et_val: set_set_val > $o ).
thf(func_def_7,type,
finite_finite_node: set_node > $o ).
thf(func_def_8,type,
finite_finite_val: set_val > $o ).
thf(func_def_9,type,
graph_272749361_edgeD: ( g > node > list_P561207620_edgeD ) > g > node > list_node ).
thf(func_def_10,type,
graph_1037173556_edgeD: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > g > node > list_node ).
thf(func_def_11,type,
irredu893086079de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > set_Pr1311924359et_val ).
thf(func_def_12,type,
irredu681226810de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > set_set_val ).
thf(func_def_13,type,
irredu1955035135eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > set_val > $o ).
thf(func_def_14,type,
irredu224829488eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val > $o ).
thf(func_def_15,type,
sup_su1487070040et_val: option_set_val > option_set_val > option_set_val ).
thf(func_def_16,type,
sup_su2005730907et_val: set_Pr1311924359et_val > set_Pr1311924359et_val > set_Pr1311924359et_val ).
thf(func_def_17,type,
sup_su2138939728de_val: set_Pr699757092de_val > set_Pr699757092de_val > set_Pr699757092de_val ).
thf(func_def_18,type,
sup_sup_set_set_val: set_set_val > set_set_val > set_set_val ).
thf(func_def_19,type,
sup_sup_set_node: set_node > set_node > set_node ).
thf(func_def_20,type,
sup_sup_set_val: set_val > set_val > set_val ).
thf(func_def_21,type,
set_Pr1006393724et_val: list_P88441325et_val > set_Pr1587248327et_val ).
thf(func_def_22,type,
set_Pr482027474de_val: list_P729276995de_val > set_Pr819703837de_val ).
thf(func_def_23,type,
set_Pr284769596et_val: list_P2089461677et_val > set_Pr1311924359et_val ).
thf(func_def_24,type,
set_Pr1904955709l_node: list_P1414038306l_node > set_Pr574789832l_node ).
thf(func_def_25,type,
set_Pr1027623516al_val: list_P940784845al_val > set_Pr1157324199al_val ).
thf(func_def_26,type,
set_Pr1157337481de_val: list_P1108777338de_val > set_Pr1245322836de_val ).
thf(func_def_27,type,
set_Pr1953765241et_val: list_P12184414et_val > set_Pr1320419588et_val ).
thf(func_def_28,type,
set_Pr450990656e_node: list_P1127016369e_node > set_Pr9085835e_node ).
thf(func_def_29,type,
set_Pr1085970585de_val: list_P1820443774de_val > set_Pr699757092de_val ).
thf(func_def_30,type,
set_Pr434939430de_val: list_P844977291de_val > set_Pr701036849de_val ).
thf(func_def_31,type,
set_Pr2104310812et_val: list_P761482893et_val > set_Pr978022247et_val ).
thf(func_def_32,type,
set_Pr1600883293l_node: list_P1078858818l_node > set_Pr2105655784l_node ).
thf(func_def_33,type,
set_Pr102746428al_val: list_P1811375021al_val > set_Pr700443783al_val ).
thf(func_def_34,type,
set_set_val2: list_set_val > set_set_val ).
thf(func_def_35,type,
set_node2: list_node > set_node ).
thf(func_def_36,type,
set_val2: list_val > set_val ).
thf(func_def_37,type,
zip_Pr21865079et_val: list_P2089461677et_val > list_P2089461677et_val > list_P88441325et_val ).
thf(func_def_38,type,
zip_Pr1472086037de_val: list_P1820443774de_val > list_P1820443774de_val > list_P729276995de_val ).
thf(func_def_39,type,
zip_set_val_set_val: list_set_val > list_set_val > list_P2089461677et_val ).
thf(func_def_40,type,
zip_set_val_node: list_set_val > list_node > list_P1414038306l_node ).
thf(func_def_41,type,
zip_set_val_val: list_set_val > list_val > list_P940784845al_val ).
thf(func_def_42,type,
zip_no263301324de_val: list_node > list_P1820443774de_val > list_P1108777338de_val ).
thf(func_def_43,type,
zip_node_set_val: list_node > list_set_val > list_P12184414et_val ).
thf(func_def_44,type,
zip_node_node: list_node > list_node > list_P1127016369e_node ).
thf(func_def_45,type,
zip_node_val: list_node > list_val > list_P1820443774de_val ).
thf(func_def_46,type,
zip_va679686869de_val: list_val > list_P1820443774de_val > list_P844977291de_val ).
thf(func_def_47,type,
zip_val_set_val: list_val > list_set_val > list_P761482893et_val ).
thf(func_def_48,type,
zip_val_node: list_val > list_node > list_P1078858818l_node ).
thf(func_def_49,type,
zip_val_val: list_val > list_val > list_P1811375021al_val ).
thf(func_def_50,type,
dom_Pr729677986st_val: ( produc1432036078de_val > option_list_val ) > set_Pr699757092de_val ).
thf(func_def_51,type,
dom_val_list_val: ( val > option_list_val ) > set_val ).
thf(func_def_52,type,
none_list_val: option_list_val ).
thf(func_def_53,type,
some_list_val: list_val > option_list_val ).
thf(func_def_54,type,
some_set_val: set_val > option_set_val ).
thf(func_def_55,type,
bot_bo2078591731et_val: set_Pr1311924359et_val ).
thf(func_def_56,type,
bot_bo404898488de_val: set_Pr699757092de_val ).
thf(func_def_57,type,
bot_bot_set_set_val: set_set_val ).
thf(func_def_58,type,
bot_bot_set_val: set_val ).
thf(func_def_59,type,
ord_le596993316et_val: option_set_val > option_set_val > $o ).
thf(func_def_60,type,
ord_le299366439et_val: set_Pr1311924359et_val > set_Pr1311924359et_val > $o ).
thf(func_def_61,type,
ord_le1643692676de_val: set_Pr699757092de_val > set_Pr699757092de_val > $o ).
thf(func_def_62,type,
ord_le1742111550et_val: set_set_val > set_set_val > $o ).
thf(func_def_63,type,
ord_less_eq_set_node: set_node > set_node > $o ).
thf(func_def_64,type,
ord_less_eq_set_val: set_val > set_val > $o ).
thf(func_def_65,type,
ord_less_eq_node: node > node > $o ).
thf(func_def_66,type,
ord_less_eq_val: val > val > $o ).
thf(func_def_67,type,
produc1377626967et_val: produc1324971431et_val > produc1324971431et_val > produc1904584935et_val ).
thf(func_def_68,type,
produc453318901de_val: produc1432036078de_val > produc1432036078de_val > produc452075965de_val ).
thf(func_def_69,type,
produc1041633943et_val: set_val > set_val > produc1324971431et_val ).
thf(func_def_70,type,
produc2052093836l_node: set_val > node > produc1013974930l_node ).
thf(func_def_71,type,
produc1337903031al_val: set_val > val > produc782216903al_val ).
thf(func_def_72,type,
produc1162531244de_val: node > produc1432036078de_val > produc1615737844de_val ).
thf(func_def_73,type,
produc2042994048et_val: node > set_val > produc1062784462et_val ).
thf(func_def_74,type,
produc457016035e_node: node > node > produc951622955e_node ).
thf(func_def_75,type,
produc1470527136de_val: node > val > produc1432036078de_val ).
thf(func_def_76,type,
produc1571934709de_val: val > produc1432036078de_val > produc1664334075de_val ).
thf(func_def_77,type,
produc1446164855et_val: val > set_val > produc1858904199et_val ).
thf(func_def_78,type,
produc1074923692l_node: val > node > produc1946948786l_node ).
thf(func_def_79,type,
product_Pair_val_val: val > val > product_prod_val_val ).
thf(func_def_80,type,
sSA_CF139593942de_val: ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(func_def_81,type,
sSA_CF178745443eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(func_def_82,type,
sSA_CF1517915011eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > set_val ).
thf(func_def_83,type,
sSA_CF370335846de_val: ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(func_def_84,type,
sSA_CF848637139eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > produc1432036078de_val > option_list_val ) > g > node > set_val ).
thf(func_def_85,type,
sSA_CF551432799de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > node ).
thf(func_def_86,type,
sSA_CF1909049442de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > val > $o ).
thf(func_def_87,type,
sSA_CF794421325de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > $o ).
thf(func_def_88,type,
sSA_CF1252180629de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > val > $o ).
thf(func_def_89,type,
sSA_CF262257161de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > option_list_val ).
thf(func_def_90,type,
sSA_CF2074824714de_val: ( g > list_node ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > $o ).
thf(func_def_91,type,
sSA_CF1660885746eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > $o ).
thf(func_def_92,type,
sSA_CF1899243830eD_val: ( g > list_node ) > ( g > node > list_P561207620_edgeD ) > ( g > node > set_val ) > ( g > node > set_val ) > ( g > produc1432036078de_val > option_list_val ) > g > val > $o ).
thf(func_def_93,type,
sSA_CF655860150de_val: ( g > list_node ) > ( g > node > set_val ) > g > set_val ).
thf(func_def_94,type,
collec1117167378et_val: ( produc1324971431et_val > $o ) > set_Pr1311924359et_val ).
thf(func_def_95,type,
collec370342979de_val: ( produc1432036078de_val > $o ) > set_Pr699757092de_val ).
thf(func_def_96,type,
collec885255687l_node: ( produc1946948786l_node > $o ) > set_Pr2105655784l_node ).
thf(func_def_97,type,
collec52550418al_val: ( product_prod_val_val > $o ) > set_Pr700443783al_val ).
thf(func_def_98,type,
collect_set_val: ( set_val > $o ) > set_set_val ).
thf(func_def_99,type,
collect_node: ( node > $o ) > set_node ).
thf(func_def_100,type,
collect_val: ( val > $o ) > set_val ).
thf(func_def_101,type,
insert1846469495et_val: produc1324971431et_val > set_Pr1311924359et_val > set_Pr1311924359et_val ).
thf(func_def_102,type,
insert869443870de_val: produc1432036078de_val > set_Pr699757092de_val > set_Pr699757092de_val ).
thf(func_def_103,type,
insert_set_val: set_val > set_set_val > set_set_val ).
thf(func_def_104,type,
insert_node: node > set_node > set_node ).
thf(func_def_105,type,
insert_val: val > set_val > set_val ).
thf(func_def_106,type,
transi1953622797et_val: set_Pr1311924359et_val > $o ).
thf(func_def_107,type,
transi1991289355lp_val: ( val > val > $o ) > val > val > $o ).
thf(func_def_108,type,
member1254968080et_val: produc1904584935et_val > set_Pr1587248327et_val > $o ).
thf(func_def_109,type,
member698732390de_val: produc452075965de_val > set_Pr819703837de_val > $o ).
thf(func_def_110,type,
member1711426256et_val: produc1324971431et_val > set_Pr1311924359et_val > $o ).
thf(func_def_111,type,
member76372137l_node: produc1013974930l_node > set_Pr574789832l_node > $o ).
thf(func_def_112,type,
member1110026224al_val: produc782216903al_val > set_Pr1157324199al_val > $o ).
thf(func_def_113,type,
member562853661de_val: produc1615737844de_val > set_Pr1245322836de_val > $o ).
thf(func_def_114,type,
member125181669et_val: produc1062784462et_val > set_Pr1320419588et_val > $o ).
thf(func_def_115,type,
member2110109140e_node: produc951622955e_node > set_Pr9085835e_node > $o ).
thf(func_def_116,type,
member313544709de_val: produc1432036078de_val > set_Pr699757092de_val > $o ).
thf(func_def_117,type,
member1894062994de_val: produc1664334075de_val > set_Pr701036849de_val > $o ).
thf(func_def_118,type,
member39229872et_val: produc1858904199et_val > set_Pr978022247et_val > $o ).
thf(func_def_119,type,
member828457417l_node: produc1946948786l_node > set_Pr2105655784l_node > $o ).
thf(func_def_120,type,
member1680438992al_val: product_prod_val_val > set_Pr700443783al_val > $o ).
thf(func_def_121,type,
member_set_val: set_val > set_set_val > $o ).
thf(func_def_122,type,
member_node: node > set_node > $o ).
thf(func_def_123,type,
member_val: val > set_val > $o ).
thf(func_def_124,type,
alpha_n: g > list_node ).
thf(func_def_125,type,
phi: val ).
thf(func_def_126,type,
phi_s: val ).
thf(func_def_127,type,
phi2: val ).
thf(func_def_128,type,
defs: g > node > set_val ).
thf(func_def_129,type,
g2: g ).
thf(func_def_130,type,
inEdges: g > node > list_P561207620_edgeD ).
thf(func_def_131,type,
phis: g > produc1432036078de_val > option_list_val ).
thf(func_def_132,type,
s: val ).
thf(func_def_133,type,
uses: g > node > set_val ).
thf(func_def_134,type,
var2: g > val > var ).
thf(func_def_138,type,
vNOT: $o > $o ).
thf(func_def_139,type,
vOR: $o > $o > $o ).
thf(func_def_140,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_141,type,
vIMP: $o > $o > $o ).
thf(func_def_142,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_143,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_144,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_145,type,
vAND: $o > $o > $o ).
thf(func_def_146,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_147,type,
db5:
!>[X0: $tType] : X0 ).
thf(func_def_148,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_149,type,
db6:
!>[X0: $tType] : X0 ).
thf(func_def_150,type,
db4:
!>[X0: $tType] : X0 ).
thf(func_def_151,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_152,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_153,type,
db7:
!>[X0: $tType] : X0 ).
thf(func_def_154,type,
sK0: val ).
thf(func_def_155,type,
sK1: g > val > node ).
thf(func_def_156,type,
sK2: set_val > set_val > val ).
thf(func_def_157,type,
sK3: g > val > node ).
thf(f6,axiom,
~ ! [X0: val] :
~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062_092_060phi_062_H_O_AphiArg_Ag_A_092_060phi_062_H_A_092_060phi_062_092_060_094sub_062s_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062) ).
thf(f7,axiom,
! [X1: val,X2: val,X0: g] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X0 @ X1 @ X2 )
=> ( member_val @ X2 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_phiArg__in__allVars) ).
thf(f354,conjecture,
member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f355,negated_conjecture,
~ ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ),
inference(negated_conjecture,[status(cth)],[f354]) ).
thf(f366,plain,
! [X0: val,X1: val,X2: g] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X0 @ X1 )
=> ( member_val @ X1 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) ) ),
inference(rectify,[],[f7]) ).
thf(f367,plain,
! [X1: val,X2: g,X0: val] :
( ( $true
= ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X0 @ X1 ) )
=> ( ( member_val @ X1 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) )
= $true ) ),
inference(fool_elimination,[],[f366]) ).
thf(f676,plain,
~ ! [X0: val] :
~ ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s ),
inference(rectify,[],[f6]) ).
thf(f677,plain,
~ ! [X0: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s )
!= $true ),
inference(fool_elimination,[],[f676]) ).
thf(f739,plain,
~ ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) ),
inference(rectify,[],[f355]) ).
thf(f740,plain,
( ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
!= $true ),
inference(fool_elimination,[],[f739]) ).
thf(f905,plain,
( ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
!= $true ),
inference(flattening,[],[f740]) ).
thf(f910,plain,
~ ! [X0: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s )
!= $true ),
inference(flattening,[],[f677]) ).
thf(f917,plain,
? [X0: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s )
= $true ),
inference(ennf_transformation,[],[f910]) ).
thf(f921,plain,
! [X1: val,X0: val,X2: g] :
( ( $true
!= ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X0 @ X1 ) )
| ( ( member_val @ X1 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) )
= $true ) ),
inference(ennf_transformation,[],[f367]) ).
thf(f942,plain,
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ sK0 @ phi_s )
= $true ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f917]) ).
thf(f957,plain,
! [X0: val,X1: val,X2: g] :
( ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X1 @ X0 )
!= $true )
| ( ( member_val @ X0 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) )
= $true ) ),
inference(rectify,[],[f921]) ).
thf(f962,plain,
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ sK0 @ phi_s )
= $true ),
inference(cnf_transformation,[],[f942]) ).
thf(f987,plain,
( ( member_val @ phi_s @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ g2 ) )
!= $true ),
inference(cnf_transformation,[],[f905]) ).
thf(f989,plain,
! [X2: g,X0: val,X1: val] :
( ( ( member_val @ X0 @ ( sSA_CF1517915011eD_val @ alpha_n @ inEdges @ defs @ uses @ phis @ X2 ) )
= $true )
| ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ X2 @ X1 @ X0 )
!= $true ) ),
inference(cnf_transformation,[],[f957]) ).
thf(f999,plain,
! [X0: val] :
( ( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s )
!= $true )
| ( $true != $true ) ),
inference(superposition,[],[f987,f989]) ).
thf(f1003,plain,
! [X0: val] :
( ( sSA_CF1252180629de_val @ alpha_n @ defs @ phis @ g2 @ X0 @ phi_s )
!= $true ),
inference(trivial_inequality_removal,[],[f999]) ).
thf(f1027,plain,
$true != $true,
inference(superposition,[],[f1003,f962]) ).
thf(f1029,plain,
$false,
inference(trivial_inequality_removal,[],[f1027]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP083^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n013.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Tue Sep 29 19:48:36 UTC 2026
% 0.10/0.20 % CPUTime :
% 0.10/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.23 Running higher-order theorem proving
% 0.20/0.30 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
% 0.29/0.45 % (2572547)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.29/0.45 % (2572553)lrs+10_16_si=on:nwc=1.5:random_seed=820269178:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.29/0.45 % (2572552)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3049900040:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.29/0.45 % (2572554)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1336345911:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.29/0.45 % (2572558)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.29/0.45 % (2572558)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
% 0.29/0.45 % (2572554)Instruction limit reached!
% 0.29/0.45 % (2572554)------------------------------
% 0.29/0.45 % (2572554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2572554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2572554)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2572554)Termination reason: Instruction limit
% 0.29/0.45 % (2572554)Termination phase: shuffling
% 0.29/0.45 % (2572554)Time elapsed: 0.002 s
% 0.29/0.45 % (2572554)Peak memory usage: 10 MB
% 0.29/0.45 % (2572554)Instructions burned: 3 (million)
% 0.29/0.45 % (2572558)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=814930370:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.29/0.45 % (2572555)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=946602171: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)
% 0.29/0.45 % (2572553)Instruction limit reached!
% 0.29/0.45 % (2572553)------------------------------
% 0.29/0.45 % (2572553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2572553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2572553)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2572553)Termination reason: Instruction limit
% 0.29/0.45 % (2572553)Termination phase: shuffling
% 0.29/0.45 % (2572553)Time elapsed: 0.009 s
% 0.29/0.45 % (2572553)Peak memory usage: 10 MB
% 0.29/0.45 % (2572553)Instructions burned: 19 (million)
% 0.29/0.45 % (2572557)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=829346943:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.29/0.45 % (2572556)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=82316341:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.29/0.45 % (2572563)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=378029657:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.29/0.45 % (2572563)Instruction limit reached!
% 0.29/0.45 % (2572563)------------------------------
% 0.29/0.45 % (2572563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2572563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2572563)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2572563)Termination reason: Instruction limit
% 0.29/0.45 % (2572563)Termination phase: shuffling
% 0.29/0.45 % (2572563)Time elapsed: 0.002 s
% 0.29/0.45 % (2572563)Peak memory usage: 10 MB
% 0.29/0.45 % (2572563)Instructions burned: 3 (million)
% 0.29/0.45 % (2572565)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=4206698673:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.29/0.45 % (2572565)Instruction limit reached!
% 0.29/0.45 % (2572565)------------------------------
% 0.29/0.45 % (2572565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.29/0.45 % (2572565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.29/0.45 % (2572565)CaDiCaL version: 2.1.3
% 0.29/0.45 % (2572565)Termination reason: Instruction limit
% 0.29/0.45 % (2572565)Termination phase: shuffling
% 0.29/0.45 % (2572565)Time elapsed: 0.003 s
% 0.29/0.45 % (2572565)Peak memory usage: 10 MB
% 0.29/0.45 % (2572565)Instructions burned: 6 (million)
% 1.06/0.49 % (2572558)Instruction limit reached!
% 1.06/0.49 % (2572558)------------------------------
% 1.06/0.49 % (2572558)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572558)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572558)Termination reason: Instruction limit
% 1.06/0.49 % (2572558)Termination phase: Saturation
% 1.06/0.49 % (2572558)Time elapsed: 0.038 s
% 1.06/0.49 % (2572558)Peak memory usage: 13 MB
% 1.06/0.49 % (2572558)Instructions burned: 158 (million)
% 1.06/0.49 % (2572552)Instruction limit reached!
% 1.06/0.49 % (2572552)------------------------------
% 1.06/0.49 % (2572552)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572552)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572552)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572552)Termination reason: Instruction limit
% 1.06/0.49 % (2572552)Termination phase: Property scanning
% 1.06/0.49 % (2572552)Time elapsed: 0.041 s
% 1.06/0.49 % (2572552)Peak memory usage: 12 MB
% 1.06/0.49 % (2572552)Instructions burned: 89 (million)
% 1.06/0.49 % (2572569)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.06/0.49 % (2572556)Instruction limit reached!
% 1.06/0.49 % (2572556)------------------------------
% 1.06/0.49 % (2572556)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572556)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572556)Termination reason: Instruction limit
% 1.06/0.49 % (2572556)Termination phase: shuffling
% 1.06/0.49 % (2572556)Time elapsed: 0.024 s
% 1.06/0.49 % (2572556)Peak memory usage: 11 MB
% 1.06/0.49 % (2572556)Instructions burned: 24 (million)
% 1.06/0.49 % (2572569)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=2197694840:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 1.06/0.49 % (2572569)Instruction limit reached!
% 1.06/0.49 % (2572569)------------------------------
% 1.06/0.49 % (2572569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572569)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572569)Termination reason: Instruction limit
% 1.06/0.49 % (2572569)Termination phase: shuffling
% 1.06/0.49 % (2572569)Time elapsed: 0.004 s
% 1.06/0.49 % (2572569)Peak memory usage: 10 MB
% 1.06/0.49 % (2572569)Instructions burned: 8 (million)
% 1.06/0.49 % (2572573)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=1840292642:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 1.06/0.49 % (2572571)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=943586032:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 1.06/0.49 % (2572572)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
% 1.06/0.49 % (2572572)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 1.06/0.49 % (2572572)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=1576108312:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 1.06/0.49 % (2572571)Instruction limit reached!
% 1.06/0.49 % (2572571)------------------------------
% 1.06/0.49 % (2572571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572571)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572571)Termination reason: Instruction limit
% 1.06/0.49 % (2572571)Termination phase: shuffling
% 1.06/0.49 % (2572571)Time elapsed: 0.011 s
% 1.06/0.49 % (2572571)Peak memory usage: 10 MB
% 1.06/0.49 % (2572571)Instructions burned: 13 (million)
% 1.06/0.49 % (2572574)lrs+10_1_si=on:cs=on:random_seed=1847970787:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 1.06/0.49 % (2572576)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 1.06/0.49 % (2572557)Instruction limit reached!
% 1.06/0.49 % (2572557)------------------------------
% 1.06/0.49 % (2572557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572557)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572557)Termination reason: Instruction limit
% 1.06/0.49 % (2572557)Termination phase: Preprocessing 3
% 1.06/0.49 % (2572557)Time elapsed: 0.050 s
% 1.06/0.49 % (2572557)Peak memory usage: 12 MB
% 1.06/0.49 % (2572557)Instructions burned: 77 (million)
% 1.06/0.49 % (2572574)Instruction limit reached!
% 1.06/0.49 % (2572574)------------------------------
% 1.06/0.49 % (2572574)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572574)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572574)Termination reason: Instruction limit
% 1.06/0.49 % (2572574)Termination phase: shuffling
% 1.06/0.49 % (2572574)Time elapsed: 0.004 s
% 1.06/0.49 % (2572574)Peak memory usage: 10 MB
% 1.06/0.49 % (2572574)Instructions burned: 8 (million)
% 1.06/0.49 % (2572576)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=3424538401:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.06/0.49 % (2572573)Instruction limit reached!
% 1.06/0.49 % (2572573)------------------------------
% 1.06/0.49 % (2572573)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572573)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572573)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572573)Termination reason: Instruction limit
% 1.06/0.49 % (2572573)Termination phase: Property scanning
% 1.06/0.49 % (2572573)Time elapsed: 0.020 s
% 1.06/0.49 % (2572573)Peak memory usage: 11 MB
% 1.06/0.49 % (2572573)Instructions burned: 90 (million)
% 1.06/0.49 % (2572576)Instruction limit reached!
% 1.06/0.49 % (2572576)------------------------------
% 1.06/0.49 % (2572576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572576)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572576)Termination reason: Instruction limit
% 1.06/0.49 % (2572576)Termination phase: shuffling
% 1.06/0.49 % (2572576)Time elapsed: 0.003 s
% 1.06/0.49 % (2572576)Peak memory usage: 10 MB
% 1.06/0.49 % (2572576)Instructions burned: 5 (million)
% 1.06/0.49 % (2572572)Instruction limit reached!
% 1.06/0.49 % (2572572)------------------------------
% 1.06/0.49 % (2572572)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572572)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572572)Termination reason: Instruction limit
% 1.06/0.49 % (2572572)Termination phase: shuffling
% 1.06/0.49 % (2572572)Time elapsed: 0.013 s
% 1.06/0.49 % (2572572)Peak memory usage: 10 MB
% 1.06/0.49 % (2572572)Instructions burned: 30 (million)
% 1.06/0.49 % (2572585)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1778365523:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 1.06/0.49 % (2572582)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=2339469170:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 1.06/0.49 % (2572585)Instruction limit reached!
% 1.06/0.49 % (2572585)------------------------------
% 1.06/0.49 % (2572585)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572585)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572585)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572584)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3334815192:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 1.06/0.49 % (2572585)Termination reason: Instruction limit
% 1.06/0.49 % (2572585)Termination phase: shuffling
% 1.06/0.49 % (2572585)Time elapsed: 0.006 s
% 1.06/0.49 % (2572585)Peak memory usage: 10 MB
% 1.06/0.49 % (2572585)Instructions burned: 25 (million)
% 1.06/0.49 % (2572586)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2983038127:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 1.06/0.49 % (2572587)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=2059507095:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 1.06/0.49 % (2572581)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3609268188:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 1.06/0.49 % (2572584)Instruction limit reached!
% 1.06/0.49 % (2572584)------------------------------
% 1.06/0.49 % (2572584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572584)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572584)Termination reason: Instruction limit
% 1.06/0.49 % (2572584)Termination phase: shuffling
% 1.06/0.49 % (2572584)Time elapsed: 0.011 s
% 1.06/0.49 % (2572584)Peak memory usage: 10 MB
% 1.06/0.49 % (2572584)Instructions burned: 27 (million)
% 1.06/0.49 % (2572591)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=611006916:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 1.06/0.49 % (2572591)Instruction limit reached!
% 1.06/0.49 % (2572591)------------------------------
% 1.06/0.49 % (2572591)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572591)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572591)Termination reason: Instruction limit
% 1.06/0.49 % (2572591)Termination phase: shuffling
% 1.06/0.49 % (2572591)Time elapsed: 0.001 s
% 1.06/0.49 % (2572591)Peak memory usage: 10 MB
% 1.06/0.49 % (2572591)Instructions burned: 5 (million)
% 1.06/0.49 % (2572587)Instruction limit reached!
% 1.06/0.49 % (2572587)------------------------------
% 1.06/0.49 % (2572587)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572587)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572587)Termination reason: Instruction limit
% 1.06/0.49 % (2572587)Termination phase: shuffling
% 1.06/0.49 % (2572587)Time elapsed: 0.007 s
% 1.06/0.49 % (2572587)Peak memory usage: 10 MB
% 1.06/0.49 % (2572587)Instructions burned: 16 (million)
% 1.06/0.49 % (2572597)dis+1002_16_sil=128000:si=on:sp=occurrence:random_seed=3375182814:cond=fast:i=23:hud=1:av=off:rtra=on:fe=abstraction:ntd=on_2998 on theBenchmark for (2998ds/23Mi)
% 1.06/0.49 % (2572597)Instruction limit reached!
% 1.06/0.49 % (2572597)------------------------------
% 1.06/0.49 % (2572597)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572597)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572597)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572597)Termination reason: Instruction limit
% 1.06/0.49 % (2572597)Termination phase: shuffling
% 1.06/0.49 % (2572597)Time elapsed: 0.005 s
% 1.06/0.49 % (2572597)Peak memory usage: 10 MB
% 1.06/0.49 % (2572597)Instructions burned: 23 (million)
% 1.06/0.49 % (2572596)ott+1004_1_sil=128000:cnfonf=lazy_pi_sigma_gen:si=on:sp=unary_frequency:cbe=off:uwa=off:nwc=1:random_seed=1314096318:i=26:ep=R:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/26Mi)
% 1.06/0.49 % (2572582) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2572547-2572582"...
% 1.06/0.49 % (2572582)...printing done.
% 1.06/0.49 % (2572598)lrs+1002_1024_sil=128000:tgt=ground:fde=none:e2e=on:si=on:uwa=off:nwc=1:random_seed=4216249760:cond=on:i=60:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/60Mi)
% 1.06/0.49 % (2572582)Refutation found. Thanks to Tanya!
% 1.06/0.49 % SZS status Theorem for theBenchmark
% 1.06/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 1.06/0.49 % (2572582)------------------------------
% 1.06/0.49 % (2572582)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.06/0.49 % (2572582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.49 % (2572582)CaDiCaL version: 2.1.3
% 1.06/0.49 % (2572582)Termination reason: Refutation
% 1.06/0.49 % (2572582)Time elapsed: 0.036 s
% 1.06/0.49 % (2572582)Peak memory usage: 13 MB
% 1.06/0.49 % (2572582)Instructions burned: 76 (million)
% 1.06/0.49 % (2572547)Success in time 0.178 s
% 1.06/0.49 % Vampire exiting
%------------------------------------------------------------------------------