%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP161^1 : 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 : n016.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 08:08:37 AM UTC 2026
% Result : Theorem 0.34s 0.43s
% Output : Refutation 0.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 16 unt; 0 typ; 0 def)
% Number of atoms : 124 ( 35 equ; 0 cnn)
% Maximal formula atoms : 3 ( 4 avg)
% Number of connectives : 194 ( 23 ~; 13 |; 0 &; 152 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Number of types : 27 ( 26 usr)
% Number of type conns : 10 ( 10 >; 0 *; 0 +; 0 <<)
% Number of symbols : 173 ( 170 usr; 12 con; 0-5 aty)
% Number of variables : 37 ( 0 ^; 37 !; 0 ?; 37 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
produc1587512412nres_b: $tType ).
thf(type_def_6,type,
produc1609974940nres_a: $tType ).
thf(type_def_7,type,
set_Pr451126599t_unit: $tType ).
thf(type_def_8,type,
refine2031285398od_b_b: $tType ).
thf(type_def_9,type,
refine891721109od_b_a: $tType ).
thf(type_def_10,type,
refine1811374551od_a_b: $tType ).
thf(type_def_11,type,
refine671810262od_a_a: $tType ).
thf(type_def_12,type,
refine787176636t_unit: $tType ).
thf(type_def_13,type,
set_Pr1707992533t_unit: $tType ).
thf(type_def_14,type,
set_Pr1628433942t_unit: $tType ).
thf(type_def_15,type,
refine432681134nres_b: $tType ).
thf(type_def_16,type,
refine424419629nres_a: $tType ).
thf(type_def_17,type,
set_Product_prod_b_b: $tType ).
thf(type_def_18,type,
set_Product_prod_b_a: $tType ).
thf(type_def_19,type,
set_Product_prod_a_b: $tType ).
thf(type_def_20,type,
set_Product_prod_a_a: $tType ).
thf(type_def_21,type,
set_Product_unit: $tType ).
thf(type_def_22,type,
product_prod_b_b: $tType ).
thf(type_def_23,type,
product_prod_b_a: $tType ).
thf(type_def_24,type,
product_prod_a_b: $tType ).
thf(type_def_25,type,
product_prod_a_a: $tType ).
thf(type_def_26,type,
product_unit: $tType ).
thf(type_def_27,type,
set_b: $tType ).
thf(type_def_28,type,
set_a: $tType ).
thf(type_def_29,type,
b: $tType ).
thf(type_def_30,type,
a: $tType ).
thf(type_def_31,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_o_R1705037948nres_a: $o > ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o > refine424419629nres_a ).
thf(func_def_1,type,
if_o_R697118589nres_b: $o > ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o > refine432681134nres_b ).
thf(func_def_2,type,
if_Ref1369692790t_unit: $o > refine787176636t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_3,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_4,type,
if_Ref1732808808nres_b: $o > refine432681134nres_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_5,type,
if_set_a: $o > set_a > set_a > set_a ).
thf(func_def_6,type,
if_set_b: $o > set_b > set_b > set_b ).
thf(func_def_7,type,
ord_le516598614nres_a: ( $o > refine424419629nres_a ) > ( $o > refine424419629nres_a ) > $o ).
thf(func_def_8,type,
ord_le1656162903nres_b: ( $o > refine432681134nres_b ) > ( $o > refine432681134nres_b ) > $o ).
thf(func_def_9,type,
ord_le915866422od_a_a: refine671810262od_a_a > refine671810262od_a_a > $o ).
thf(func_def_10,type,
ord_le2055430711od_a_b: refine1811374551od_a_b > refine1811374551od_a_b > $o ).
thf(func_def_11,type,
ord_le1135777269od_b_a: refine891721109od_b_a > refine891721109od_b_a > $o ).
thf(func_def_12,type,
ord_le127857910od_b_b: refine2031285398od_b_b > refine2031285398od_b_b > $o ).
thf(func_def_13,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_14,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_15,type,
ord_le527798542nres_b: refine432681134nres_b > refine432681134nres_b > $o ).
thf(func_def_16,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_17,type,
ord_less_eq_set_b: set_b > set_b > $o ).
thf(func_def_18,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_19,type,
order_1722590613nres_b: ( refine432681134nres_b > $o ) > refine432681134nres_b ).
thf(func_def_20,type,
top_top_a_o: a > $o ).
thf(func_def_21,type,
top_top_b_o: b > $o ).
thf(func_def_22,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(func_def_23,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_24,type,
top_to240090974nres_b: refine432681134nres_b ).
thf(func_def_25,type,
top_top_set_a: set_a ).
thf(func_def_26,type,
top_top_set_b: set_b ).
thf(func_def_27,type,
partia1658438072t_unit: refine787176636t_unit > refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_28,type,
partia906949161nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_29,type,
partia915210666nres_b: refine432681134nres_b > refine432681134nres_b > refine432681134nres_b > $o ).
thf(func_def_30,type,
produc1136923598nres_a: refine424419629nres_a > refine424419629nres_a > produc1609974940nres_a ).
thf(func_def_31,type,
produc2130641934nres_b: refine432681134nres_b > refine432681134nres_b > produc1587512412nres_b ).
thf(func_def_32,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_33,type,
product_Pair_a_b: a > b > product_prod_a_b ).
thf(func_def_34,type,
product_Pair_b_a: b > a > product_prod_b_a ).
thf(func_def_35,type,
product_Pair_b_b: b > b > product_prod_b_b ).
thf(func_def_36,type,
refine2039610767ASSERT: $o > refine787176636t_unit ).
thf(func_def_37,type,
refine1420258419t_unit: product_unit > refine787176636t_unit ).
thf(func_def_38,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_39,type,
refine2063221605TURN_b: b > refine432681134nres_b ).
thf(func_def_40,type,
refine838861686t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_41,type,
refine341651653t_unit: set_Pr1628433942t_unit > refine424419629nres_a > refine787176636t_unit ).
thf(func_def_42,type,
refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_43,type,
refine1136779703un_a_b: set_Product_prod_a_b > refine424419629nres_a > refine432681134nres_b ).
thf(func_def_44,type,
refine460904452t_unit: set_Pr1707992533t_unit > refine432681134nres_b > refine787176636t_unit ).
thf(func_def_45,type,
refine1964549109un_b_a: set_Product_prod_b_a > refine432681134nres_b > refine424419629nres_a ).
thf(func_def_46,type,
refine1964549110un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_47,type,
refine988994910_a_a_b: refine671810262od_a_a > ( product_prod_a_a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_48,type,
refine681446406t_unit: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_49,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_50,type,
refine119808504unit_b: refine787176636t_unit > ( product_unit > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_51,type,
refine96995669t_unit: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_52,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_53,type,
refine436832839nd_a_b: refine424419629nres_a > ( a > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_54,type,
refine216248468t_unit: refine432681134nres_b > ( b > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_55,type,
refine1264602245nd_b_a: refine432681134nres_b > ( b > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_56,type,
refine1264602246nd_b_b: refine432681134nres_b > ( b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_57,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_58,type,
refine2021053540t_unit: set_Pr1628433942t_unit > refine787176636t_unit > refine424419629nres_a ).
thf(func_def_59,type,
refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_60,type,
refine1441824854un_a_b: set_Product_prod_a_b > refine432681134nres_b > refine424419629nres_a ).
thf(func_def_61,type,
refine2140306339t_unit: set_Pr1707992533t_unit > refine787176636t_unit > refine432681134nres_b ).
thf(func_def_62,type,
refine122110612un_b_a: set_Product_prod_b_a > refine424419629nres_a > refine432681134nres_b ).
thf(func_def_63,type,
refine122110613un_b_b: set_Product_prod_b_b > refine432681134nres_b > refine432681134nres_b ).
thf(func_def_64,type,
refine558004794t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_65,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_66,type,
refine1001002028nres_b: refine432681134nres_b > b > $o ).
thf(func_def_67,type,
refine378960780od_a_a: refine671810262od_a_a > product_prod_a_a > $o ).
thf(func_def_68,type,
refine387222285od_a_b: refine1811374551od_a_b > product_prod_a_b > $o ).
thf(func_def_69,type,
refine1206730187od_b_a: refine891721109od_b_a > product_prod_b_a > $o ).
thf(func_def_70,type,
refine1214991692od_b_b: refine2031285398od_b_b > product_prod_b_b > $o ).
thf(func_def_71,type,
refine983493746t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_72,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(func_def_73,type,
refine1312857700nres_b: refine432681134nres_b > b > $o ).
thf(func_def_74,type,
refine579265252t_unit: refine787176636t_unit > $o ).
thf(func_def_75,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_76,type,
refine412683990fail_b: refine432681134nres_b > $o ).
thf(func_def_77,type,
refine1607584204t_unit: refine787176636t_unit ).
thf(func_def_78,type,
refine464223677AILi_a: refine424419629nres_a ).
thf(func_def_79,type,
refine464223678AILi_b: refine432681134nres_b ).
thf(func_def_80,type,
refine622451633od_a_a: set_Product_prod_a_a > refine671810262od_a_a ).
thf(func_def_81,type,
refine630713138od_a_b: set_Product_prod_a_b > refine1811374551od_a_b ).
thf(func_def_82,type,
refine1450221040od_b_a: set_Product_prod_b_a > refine891721109od_b_a ).
thf(func_def_83,type,
refine1458482545od_b_b: set_Product_prod_b_b > refine2031285398od_b_b ).
thf(func_def_84,type,
refine1777164439t_unit: set_Product_unit > refine787176636t_unit ).
thf(func_def_85,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_86,type,
refine1198353289_RES_b: set_b > refine432681134nres_b ).
thf(func_def_87,type,
refine1208325748t_unit: refine787176636t_unit > set_Product_unit ).
thf(func_def_88,type,
refine1822134885_RES_a: refine424419629nres_a > set_a ).
thf(func_def_89,type,
refine1822134886_RES_b: refine432681134nres_b > set_b ).
thf(func_def_90,type,
domain799550107t_unit: set_Pr1628433942t_unit > set_a ).
thf(func_def_91,type,
domain_a_a: set_Product_prod_a_a > set_a ).
thf(func_def_92,type,
domain_a_b: set_Product_prod_a_b > set_a ).
thf(func_def_93,type,
domain918802906t_unit: set_Pr1707992533t_unit > set_b ).
thf(func_def_94,type,
domain_b_a: set_Product_prod_b_a > set_b ).
thf(func_def_95,type,
domain_b_b: set_Product_prod_b_b > set_b ).
thf(func_def_96,type,
image_a_a: set_Product_prod_a_a > set_a > set_a ).
thf(func_def_97,type,
image_a_b: set_Product_prod_a_b > set_a > set_b ).
thf(func_def_98,type,
image_b_a: set_Product_prod_b_a > set_b > set_a ).
thf(func_def_99,type,
image_b_b: set_Product_prod_b_b > set_b > set_b ).
thf(func_def_100,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_101,type,
collec654117139od_a_b: ( product_prod_a_b > $o ) > set_Product_prod_a_b ).
thf(func_def_102,type,
collec1473625041od_b_a: ( product_prod_b_a > $o ) > set_Product_prod_b_a ).
thf(func_def_103,type,
collec1481886546od_b_b: ( product_prod_b_b > $o ) > set_Product_prod_b_b ).
thf(func_def_104,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(func_def_105,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_106,type,
collect_b: ( b > $o ) > set_b ).
thf(func_def_107,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_108,type,
member458171089od_a_b: product_prod_a_b > set_Product_prod_a_b > $o ).
thf(func_def_109,type,
member1277678991od_b_a: product_prod_b_a > set_Product_prod_b_a > $o ).
thf(func_def_110,type,
member1285940496od_b_b: product_prod_b_b > set_Product_prod_b_b > $o ).
thf(func_def_111,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(func_def_112,type,
member_a: a > set_a > $o ).
thf(func_def_113,type,
member_b: b > set_b > $o ).
thf(func_def_114,type,
phi: a > $o ).
thf(func_def_115,type,
f: a > refine432681134nres_b ).
thf(func_def_116,type,
m: refine432681134nres_b ).
thf(func_def_117,type,
x: a ).
thf(func_def_121,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_122,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_123,type,
vIMP: $o > $o > $o ).
thf(func_def_124,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_125,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_126,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_127,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_128,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_129,type,
vAND: $o > $o > $o ).
thf(func_def_130,type,
vNOT: $o > $o ).
thf(func_def_131,type,
sK0: ( a > $o ) > set_a > a ).
thf(func_def_132,type,
sK1: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_133,type,
sK2: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_134,type,
sK3: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_135,type,
sK4: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_136,type,
sK5: refine424419629nres_a > ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > a ).
thf(func_def_137,type,
sK6: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_138,type,
sK7: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_139,type,
sK8: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_140,type,
sK9: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_141,type,
sK10: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_142,type,
sK11: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_143,type,
sK12: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_144,type,
sK13: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_145,type,
sK14: refine424419629nres_a > ( a > refine432681134nres_b ) > ( a > refine432681134nres_b ) > ( b > $o ) > ( b > $o ) > a ).
thf(func_def_146,type,
sK15: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_147,type,
sK16: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_148,type,
sK17: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_149,type,
sK18: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_150,type,
sK19: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_151,type,
sK20: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_152,type,
sK21: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_153,type,
sK22: ( refine432681134nres_b > refine424419629nres_a ) > refine432681134nres_b ).
thf(func_def_154,type,
sK23: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_155,type,
sK24: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_156,type,
sK25: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_157,type,
sK26: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_158,type,
sK27: refine432681134nres_b > ( a > refine432681134nres_b ) > refine424419629nres_a > a ).
thf(func_def_159,type,
sK28: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_160,type,
sK29: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_161,type,
sK30: ( a > refine432681134nres_b ) > refine424419629nres_a > ( a > refine432681134nres_b ) > a ).
thf(func_def_162,type,
sK31: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_163,type,
sK32: ( refine432681134nres_b > refine432681134nres_b ) > refine432681134nres_b ).
thf(func_def_164,type,
sK33: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_165,type,
sK34: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_166,type,
sK35: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_167,type,
sK36: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_168,type,
sK37: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_169,type,
sK38: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_170,type,
sK39: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(func_def_171,type,
sK40: ( refine424419629nres_a > refine432681134nres_b ) > refine424419629nres_a ).
thf(f1,axiom,
phi @ x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_assms_I1_J) ).
thf(f2,axiom,
ord_le527798542nres_b @ m @ ( f @ x ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_assms_I2_J) ).
thf(f36,axiom,
! [X1: set_a,X0: a,X2: refine432681134nres_b,X3: a > refine432681134nres_b] :
( ( member_a @ X0 @ X1 )
=> ( ( ord_le527798542nres_b @ X2 @ ( X3 @ X0 ) )
=> ( ord_le527798542nres_b @ X2 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X1 ) @ X3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_RES__bind__choose) ).
thf(f108,axiom,
! [X1: a > $o,X0: a] :
( ( member_a @ X0 @ ( collect_a @ X1 ) )
= ( X1 @ X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_mem__Collect__eq) ).
thf(f359,conjecture,
ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f360,negated_conjecture,
~ ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f438,plain,
~ ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) ),
inference(rectify,[],[f360]) ).
thf(f439,plain,
( ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) )
!= $true ),
inference(fool_elimination,[],[f438]) ).
thf(f609,plain,
! [X0: set_a,X1: a,X2: refine432681134nres_b,X3: a > refine432681134nres_b] :
( ( member_a @ X1 @ X0 )
=> ( ( ord_le527798542nres_b @ X2 @ ( X3 @ X1 ) )
=> ( ord_le527798542nres_b @ X2 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X0 ) @ X3 ) ) ) ),
inference(rectify,[],[f36]) ).
thf(f610,plain,
! [X0: set_a,X2: refine432681134nres_b,X3: a > refine432681134nres_b,X1: a] :
( ( ( member_a @ X1 @ X0 )
= $true )
=> ( ( ( ord_le527798542nres_b @ X2 @ ( X3 @ X1 ) )
= $true )
=> ( ( ord_le527798542nres_b @ X2 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X0 ) @ X3 ) )
= $true ) ) ),
inference(fool_elimination,[],[f609]) ).
thf(f633,plain,
ord_le527798542nres_b @ m @ ( f @ x ),
inference(rectify,[],[f2]) ).
thf(f634,plain,
( ( ord_le527798542nres_b @ m @ ( f @ x ) )
= $true ),
inference(fool_elimination,[],[f633]) ).
thf(f804,plain,
phi @ x,
inference(rectify,[],[f1]) ).
thf(f805,plain,
( ( phi @ x )
= $true ),
inference(fool_elimination,[],[f804]) ).
thf(f957,plain,
( ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) )
!= $true ),
inference(flattening,[],[f439]) ).
thf(f989,plain,
! [X0: set_a,X2: refine432681134nres_b,X3: a > refine432681134nres_b,X1: a] :
( ( ( ord_le527798542nres_b @ X2 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X0 ) @ X3 ) )
= $true )
| ( ( ord_le527798542nres_b @ X2 @ ( X3 @ X1 ) )
!= $true )
| ( ( member_a @ X1 @ X0 )
!= $true ) ),
inference(ennf_transformation,[],[f610]) ).
thf(f990,plain,
! [X0: set_a,X2: refine432681134nres_b,X1: a,X3: a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ X2 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X0 ) @ X3 ) )
= $true )
| ( ( ord_le527798542nres_b @ X2 @ ( X3 @ X1 ) )
!= $true )
| ( ( member_a @ X1 @ X0 )
!= $true ) ),
inference(flattening,[],[f989]) ).
thf(f1073,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
= ( member_a @ X1 @ ( collect_a @ X0 ) ) ),
inference(rectify,[],[f108]) ).
thf(f1080,plain,
! [X0: set_a,X1: refine432681134nres_b,X2: a,X3: a > refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ X1 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X0 ) @ X3 ) )
= $true )
| ( $true
!= ( ord_le527798542nres_b @ X1 @ ( X3 @ X2 ) ) )
| ( ( member_a @ X2 @ X0 )
!= $true ) ),
inference(rectify,[],[f990]) ).
thf(f1153,plain,
( ( phi @ x )
= $true ),
inference(cnf_transformation,[],[f805]) ).
thf(f1156,plain,
! [X0: a > $o,X1: a] :
( ( X0 @ X1 )
= ( member_a @ X1 @ ( collect_a @ X0 ) ) ),
inference(cnf_transformation,[],[f1073]) ).
thf(f1164,plain,
! [X2: a,X3: a > refine432681134nres_b,X0: set_a,X1: refine432681134nres_b] :
( ( ( ord_le527798542nres_b @ X1 @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ X0 ) @ X3 ) )
= $true )
| ( ( member_a @ X2 @ X0 )
!= $true )
| ( $true
!= ( ord_le527798542nres_b @ X1 @ ( X3 @ X2 ) ) ) ),
inference(cnf_transformation,[],[f1080]) ).
thf(f1192,plain,
( ( ord_le527798542nres_b @ m @ ( refine436832839nd_a_b @ ( refine1198353288_RES_a @ ( collect_a @ phi ) ) @ f ) )
!= $true ),
inference(cnf_transformation,[],[f957]) ).
thf(f1197,plain,
( ( ord_le527798542nres_b @ m @ ( f @ x ) )
= $true ),
inference(cnf_transformation,[],[f634]) ).
thf(f1252,plain,
! [X0: a] :
( ( $true != $true )
| ( $true
!= ( ord_le527798542nres_b @ m @ ( f @ X0 ) ) )
| ( ( member_a @ X0 @ ( collect_a @ phi ) )
!= $true ) ),
inference(superposition,[],[f1192,f1164]) ).
thf(f1259,plain,
! [X0: a] :
( ( $true
!= ( ord_le527798542nres_b @ m @ ( f @ X0 ) ) )
| ( ( member_a @ X0 @ ( collect_a @ phi ) )
!= $true ) ),
inference(trivial_inequality_removal,[],[f1252]) ).
thf(f1266,plain,
! [X0: a] :
( ( $true
!= ( ord_le527798542nres_b @ m @ ( f @ X0 ) ) )
| ( ( phi @ X0 )
!= $true ) ),
inference(forward_demodulation,[],[f1259,f1156]) ).
thf(f1267,plain,
( ( $true != $true )
| ( ( phi @ x )
!= $true ) ),
inference(superposition,[],[f1266,f1197]) ).
thf(f1272,plain,
( ( phi @ x )
!= $true ),
inference(trivial_inequality_removal,[],[f1267]) ).
thf(f1277,plain,
$false,
inference(forward_subsumption_resolution,[],[f1272,f1153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP161^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n016.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Tue Sep 29 20:08:50 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running higher-order theorem proving
% 0.24/0.30 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
% 0.34/0.43 % (843943)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.34/0.43 % (843964)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=542060395:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.34/0.43 % (843966)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.34/0.43 % (843966)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
% 0.34/0.43 % (843964)Instruction limit reached!
% 0.34/0.43 % (843964)------------------------------
% 0.34/0.43 % (843964)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843964)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843964)Termination reason: Instruction limit
% 0.34/0.43 % (843964)Termination phase: shuffling
% 0.34/0.43 % (843964)Time elapsed: 0.006 s
% 0.34/0.43 % (843964)Peak memory usage: 10 MB
% 0.34/0.43 % (843964)Instructions burned: 24 (million)
% 0.34/0.43 % (843961)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1051820110:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.34/0.43 % (843959)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=104706775:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.34/0.43 % (843960)lrs+10_16_si=on:nwc=1.5:random_seed=2075837180:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.34/0.43 % (843965)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=1997249755:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.34/0.43 % (843962)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=1881501966: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)
% 0.34/0.43 % (843966)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=3709510650:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.34/0.43 % (843961)Instruction limit reached!
% 0.34/0.43 % (843961)------------------------------
% 0.34/0.43 % (843961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843961)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843961)Termination reason: Instruction limit
% 0.34/0.43 % (843961)Termination phase: shuffling
% 0.34/0.43 % (843961)Time elapsed: 0.003 s
% 0.34/0.43 % (843961)Peak memory usage: 10 MB
% 0.34/0.43 % (843961)Instructions burned: 4 (million)
% 0.34/0.43 % (843960)Instruction limit reached!
% 0.34/0.43 % (843960)------------------------------
% 0.34/0.43 % (843960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843960)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843960)Termination reason: Instruction limit
% 0.34/0.43 % (843960)Termination phase: shuffling
% 0.34/0.43 % (843960)Time elapsed: 0.010 s
% 0.34/0.43 % (843960)Peak memory usage: 10 MB
% 0.34/0.43 % (843960)Instructions burned: 19 (million)
% 0.34/0.43 % (843974)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=2947436166:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.34/0.43 % (843974)Instruction limit reached!
% 0.34/0.43 % (843974)------------------------------
% 0.34/0.43 % (843974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843974)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843974)Termination reason: Instruction limit
% 0.34/0.43 % (843974)Termination phase: shuffling
% 0.34/0.43 % (843974)Time elapsed: 0.001 s
% 0.34/0.43 % (843974)Peak memory usage: 10 MB
% 0.34/0.43 % (843974)Instructions burned: 4 (million)
% 0.34/0.43 % (843980)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=3839248189:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.34/0.43 % (843980)Instruction limit reached!
% 0.34/0.43 % (843980)------------------------------
% 0.34/0.43 % (843980)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843980)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843980)Termination reason: Instruction limit
% 0.34/0.43 % (843980)Termination phase: shuffling
% 0.34/0.43 % (843980)Time elapsed: 0.003 s
% 0.34/0.43 % (843980)Peak memory usage: 10 MB
% 0.34/0.43 % (843980)Instructions burned: 5 (million)
% 0.34/0.43 % (843984)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.34/0.43 % (843984)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=553223766:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.34/0.43 % (843986)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=4000329877:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.34/0.43 % (843992)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
% 0.34/0.43 % (843992)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.34/0.43 % (843984)Instruction limit reached!
% 0.34/0.43 % (843984)------------------------------
% 0.34/0.43 % (843984)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843984)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843984)Termination reason: Instruction limit
% 0.34/0.43 % (843984)Termination phase: shuffling
% 0.34/0.43 % (843984)Time elapsed: 0.004 s
% 0.34/0.43 % (843984)Peak memory usage: 10 MB
% 0.34/0.43 % (843984)Instructions burned: 8 (million)
% 0.34/0.43 % (843992)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2081992010:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.34/0.43 % (843965)Instruction limit reached!
% 0.34/0.43 % (843965)------------------------------
% 0.34/0.43 % (843965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843965)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843965)Termination reason: Instruction limit
% 0.34/0.43 % (843965)Termination phase: Property scanning
% 0.34/0.43 % (843965)Time elapsed: 0.037 s
% 0.34/0.43 % (843965)Peak memory usage: 12 MB
% 0.34/0.43 % (843965)Instructions burned: 76 (million)
% 0.34/0.43 % (843986)Instruction limit reached!
% 0.34/0.43 % (843986)------------------------------
% 0.34/0.43 % (843986)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843986)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843986)Termination reason: Instruction limit
% 0.34/0.43 % (843986)Termination phase: shuffling
% 0.34/0.43 % (843986)Time elapsed: 0.006 s
% 0.34/0.43 % (843986)Peak memory usage: 10 MB
% 0.34/0.43 % (843986)Instructions burned: 13 (million)
% 0.34/0.43 % (843959)Instruction limit reached!
% 0.34/0.43 % (843959)------------------------------
% 0.34/0.43 % (843959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843959)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843959)Termination reason: Instruction limit
% 0.34/0.43 % (843959)Termination phase: Property scanning
% 0.34/0.43 % (843959)Time elapsed: 0.040 s
% 0.34/0.43 % (843959)Peak memory usage: 12 MB
% 0.34/0.43 % (843959)Instructions burned: 88 (million)
% 0.34/0.43 % (843992)Instruction limit reached!
% 0.34/0.43 % (843992)------------------------------
% 0.34/0.43 % (843992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843992)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843992)Termination reason: Instruction limit
% 0.34/0.43 % (843992)Termination phase: shuffling
% 0.34/0.43 % (843992)Time elapsed: 0.007 s
% 0.34/0.43 % (843992)Peak memory usage: 11 MB
% 0.34/0.43 % (843992)Instructions burned: 30 (million)
% 0.34/0.43 % (844003)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.34/0.43 % (843999)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=1367279087:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.34/0.43 % (844008)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=101027988:st=2:i=249:sd=1:rtra=on:ss=axioms_2999 on theBenchmark for (2999ds/249Mi)
% 0.34/0.43 % (844002)lrs+10_1_si=on:cs=on:random_seed=2211716385:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.34/0.43 % (844003)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=2785092575:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.34/0.43 % (844005)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3330825688:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.34/0.43 % (844002)Instruction limit reached!
% 0.34/0.43 % (844002)------------------------------
% 0.34/0.43 % (844002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (844002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (844002)CaDiCaL version: 2.1.3
% 0.34/0.43 % (844002)Termination reason: Instruction limit
% 0.34/0.43 % (844002)Termination phase: shuffling
% 0.34/0.43 % (844002)Time elapsed: 0.004 s
% 0.34/0.43 % (844002)Peak memory usage: 10 MB
% 0.34/0.43 % (844002)Instructions burned: 8 (million)
% 0.34/0.43 % (844003)Instruction limit reached!
% 0.34/0.43 % (844003)------------------------------
% 0.34/0.43 % (844003)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (844003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (844003)CaDiCaL version: 2.1.3
% 0.34/0.43 % (844003)Termination reason: Instruction limit
% 0.34/0.43 % (844003)Termination phase: shuffling
% 0.34/0.43 % (844003)Time elapsed: 0.002 s
% 0.34/0.43 % (844003)Peak memory usage: 10 MB
% 0.34/0.43 % (844003)Instructions burned: 3 (million)
% 0.34/0.43 % (843966)Instruction limit reached!
% 0.34/0.43 % (843966)------------------------------
% 0.34/0.43 % (843966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (843966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (843966)CaDiCaL version: 2.1.3
% 0.34/0.43 % (843966)Termination reason: Instruction limit
% 0.34/0.43 % (843966)Termination phase: Property scanning
% 0.34/0.43 % (843966)Time elapsed: 0.069 s
% 0.34/0.43 % (843966)Peak memory usage: 13 MB
% 0.34/0.43 % (843966)Instructions burned: 158 (million)
% 0.34/0.43 % (844008) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-843943-844008"...
% 0.34/0.43 % (844008)...printing done.
% 0.34/0.43 % (844005)Instruction limit reached!
% 0.34/0.43 % (844005)------------------------------
% 0.34/0.43 % (844005)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (844005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (844005)CaDiCaL version: 2.1.3
% 0.34/0.43 % (844005)Termination reason: Instruction limit
% 0.34/0.43 % (844005)Termination phase: SInE selection
% 0.34/0.43 % (844005)Time elapsed: 0.018 s
% 0.34/0.43 % (844005)Peak memory usage: 11 MB
% 0.34/0.43 % (844005)Instructions burned: 39 (million)
% 0.34/0.43 % (844008)Refutation found. Thanks to Tanya!
% 0.34/0.43 % SZS status Theorem for theBenchmark
% 0.34/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.34/0.43 % (844008)------------------------------
% 0.34/0.43 % (844008)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.34/0.43 % (844008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.34/0.43 % (844008)CaDiCaL version: 2.1.3
% 0.34/0.43 % (844008)Termination reason: Refutation
% 0.34/0.43 % (844008)Time elapsed: 0.020 s
% 0.34/0.43 % (844008)Peak memory usage: 13 MB
% 0.34/0.43 % (844008)Instructions burned: 76 (million)
% 0.34/0.43 % (843943)Success in time 0.121 s
% 0.34/0.43 % Vampire exiting
%------------------------------------------------------------------------------