%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP164^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Sep 30 08:08:37 AM UTC 2026
% Result : Theorem 1.44s 0.59s
% Output : Refutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 3
% Syntax : Number of formulae : 16 ( 12 unt; 0 typ; 1 def)
% Number of atoms : 20 ( 9 equ; 0 cnn)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 27 ( 7 ~; 3 |; 0 &; 16 @)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 15 ( 14 usr)
% Number of type conns : 2 ( 2 >; 0 *; 0 +; 0 <<)
% Number of symbols : 229 ( 227 usr; 8 con; 0-4 aty)
% Number of variables : 2 ( 0 sgn 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr451126599t_unit: $tType ).
thf(type_def_6,type,
refine787176636t_unit: $tType ).
thf(type_def_7,type,
produc971140967t_unit: $tType ).
thf(type_def_8,type,
set_Pr1628433942t_unit: $tType ).
thf(type_def_9,type,
set_Pr1720557880unit_a: $tType ).
thf(type_def_10,type,
refine424419629nres_a: $tType ).
thf(type_def_11,type,
produc1767851702t_unit: $tType ).
thf(type_def_12,type,
produc884009688unit_a: $tType ).
thf(type_def_13,type,
set_Product_prod_a_a: $tType ).
thf(type_def_14,type,
set_Product_unit: $tType ).
thf(type_def_15,type,
product_prod_a_a: $tType ).
thf(type_def_16,type,
product_unit: $tType ).
thf(type_def_17,type,
set_a: $tType ).
thf(type_def_18,type,
a: $tType ).
thf(type_def_19,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
if_Ref1369692790t_unit: $o > refine787176636t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_1,type,
if_Ref1724547303nres_a: $o > refine424419629nres_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_2,type,
bot_bo658782032t_unit: refine787176636t_unit ).
thf(func_def_3,type,
bot_bo529555393nres_a: refine424419629nres_a ).
thf(func_def_4,type,
bot_bo1087887705t_unit: set_Product_unit ).
thf(func_def_5,type,
bot_bot_set_a: set_a ).
thf(func_def_6,type,
ord_le1051254044t_unit: refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_7,type,
ord_le519537037nres_a: refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_8,type,
ord_le2035129575t_unit: set_Pr451126599t_unit > set_Pr451126599t_unit > $o ).
thf(func_def_9,type,
ord_le2070001880unit_a: set_Pr1720557880unit_a > set_Pr1720557880unit_a > $o ).
thf(func_def_10,type,
ord_le1977877942t_unit: set_Pr1628433942t_unit > set_Pr1628433942t_unit > $o ).
thf(func_def_11,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_12,type,
ord_le1023748749t_unit: set_Product_unit > set_Product_unit > $o ).
thf(func_def_13,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_14,type,
order_453013155t_unit: ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_15,type,
order_1714329108nres_a: ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_16,type,
top_to177290092t_unit: refine787176636t_unit ).
thf(func_def_17,type,
top_to231829469nres_a: refine424419629nres_a ).
thf(func_def_18,type,
partia1658438072t_unit: refine787176636t_unit > refine787176636t_unit > refine787176636t_unit > $o ).
thf(func_def_19,type,
partia906949161nres_a: refine424419629nres_a > refine424419629nres_a > refine424419629nres_a > $o ).
thf(func_def_20,type,
produc1076565719t_unit: product_unit > product_unit > produc971140967t_unit ).
thf(func_def_21,type,
produc1799512520unit_a: product_unit > a > produc884009688unit_a ).
thf(func_def_22,type,
produc1776699686t_unit: a > product_unit > produc1767851702t_unit ).
thf(func_def_23,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_24,type,
refine1420258419t_unit: product_unit > refine787176636t_unit ).
thf(func_def_25,type,
refine2063221604TURN_a: a > refine424419629nres_a ).
thf(func_def_26,type,
refine838861686t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_27,type,
refine364464487unit_a: set_Pr1720557880unit_a > refine787176636t_unit > refine424419629nres_a ).
thf(func_def_28,type,
refine341651653t_unit: set_Pr1628433942t_unit > refine424419629nres_a > refine787176636t_unit ).
thf(func_def_29,type,
refine1136779702un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_30,type,
refine681446406t_unit: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_31,type,
refine119808503unit_a: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_32,type,
refine96995669t_unit: refine424419629nres_a > ( a > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_33,type,
refine436832838nd_a_a: refine424419629nres_a > ( a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_34,type,
refine944483349t_unit: set_Pr451126599t_unit > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_35,type,
refine2043866374unit_a: set_Pr1720557880unit_a > refine424419629nres_a > refine787176636t_unit ).
thf(func_def_36,type,
refine2021053540t_unit: set_Pr1628433942t_unit > refine787176636t_unit > refine424419629nres_a ).
thf(func_def_37,type,
refine1441824853un_a_a: set_Product_prod_a_a > refine424419629nres_a > refine424419629nres_a ).
thf(func_def_38,type,
refine558004794t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_39,type,
refine1001002027nres_a: refine424419629nres_a > a > $o ).
thf(func_def_40,type,
refine983493746t_unit: refine787176636t_unit > product_unit > $o ).
thf(func_def_41,type,
refine1312857699nres_a: refine424419629nres_a > a > $o ).
thf(func_def_42,type,
refine579265252t_unit: refine787176636t_unit > $o ).
thf(func_def_43,type,
refine412683989fail_a: refine424419629nres_a > $o ).
thf(func_def_44,type,
refine1777164439t_unit: set_Product_unit > refine787176636t_unit ).
thf(func_def_45,type,
refine1198353288_RES_a: set_a > refine424419629nres_a ).
thf(func_def_46,type,
refine230495195t_unit: ( refine787176636t_unit > refine787176636t_unit ) > ( refine787176636t_unit > refine787176636t_unit ) > $o ).
thf(func_def_47,type,
refine2089046860nres_a: ( refine787176636t_unit > refine424419629nres_a ) > ( refine424419629nres_a > refine787176636t_unit ) > $o ).
thf(func_def_48,type,
refine327276970t_unit: ( refine424419629nres_a > refine787176636t_unit ) > ( refine787176636t_unit > refine424419629nres_a ) > $o ).
thf(func_def_49,type,
refine2004812827nres_a: ( refine424419629nres_a > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a ) > $o ).
thf(func_def_50,type,
domain2090798924t_unit: set_Pr451126599t_unit > set_Product_unit ).
thf(func_def_51,type,
domain822362941unit_a: set_Pr1720557880unit_a > set_Product_unit ).
thf(func_def_52,type,
domain799550107t_unit: set_Pr1628433942t_unit > set_a ).
thf(func_def_53,type,
domain_a_a: set_Product_prod_a_a > set_a ).
thf(func_def_54,type,
single330234563t_unit: set_Pr451126599t_unit > $o ).
thf(func_def_55,type,
single249782708unit_a: set_Pr1720557880unit_a > $o ).
thf(func_def_56,type,
single226969874t_unit: set_Pr1628433942t_unit > $o ).
thf(func_def_57,type,
single_valued_a_a: set_Product_prod_a_a > $o ).
thf(func_def_58,type,
collec797068754t_unit: ( produc971140967t_unit > $o ) > set_Pr451126599t_unit ).
thf(func_def_59,type,
collec535904323unit_a: ( produc884009688unit_a > $o ) > set_Pr1720557880unit_a ).
thf(func_def_60,type,
collec1419746337t_unit: ( produc1767851702t_unit > $o ) > set_Pr1628433942t_unit ).
thf(func_def_61,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_62,type,
collect_Product_unit: ( product_unit > $o ) > set_Product_unit ).
thf(func_def_63,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_64,type,
insert_Product_unit: product_unit > set_Product_unit > set_Product_unit ).
thf(func_def_65,type,
insert_a: a > set_a > set_a ).
thf(func_def_66,type,
member1423014800t_unit: produc971140967t_unit > set_Pr451126599t_unit > $o ).
thf(func_def_67,type,
member1211819009unit_a: produc884009688unit_a > set_Pr1720557880unit_a > $o ).
thf(func_def_68,type,
member2095661023t_unit: produc1767851702t_unit > set_Pr1628433942t_unit > $o ).
thf(func_def_69,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_70,type,
member_Product_unit: product_unit > set_Product_unit > $o ).
thf(func_def_71,type,
member_a: a > set_a > $o ).
thf(func_def_72,type,
f: product_unit > refine424419629nres_a ).
thf(func_def_76,type,
vAND: $o > $o > $o ).
thf(func_def_77,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_78,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_79,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_80,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_81,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_82,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_83,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_84,type,
vIMP: $o > $o > $o ).
thf(func_def_85,type,
sK0: ( set_a > set_a ) > set_a ).
thf(func_def_86,type,
sK1: ( set_a > set_a ) > set_a ).
thf(func_def_87,type,
sK2: refine787176636t_unit > ( product_unit > refine424419629nres_a ) > ( product_unit > refine424419629nres_a ) > product_unit ).
thf(func_def_88,type,
sK3: ( a > refine787176636t_unit ) > refine424419629nres_a > refine787176636t_unit > a ).
thf(func_def_89,type,
sK4: refine424419629nres_a > refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_90,type,
sK5: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_91,type,
sK6: ( set_a > set_a ) > set_a ).
thf(func_def_92,type,
sK7: ( set_a > set_a ) > set_a ).
thf(func_def_93,type,
sK8: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_94,type,
sK9: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_95,type,
sK10: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_96,type,
sK11: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_97,type,
sK12: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_98,type,
sK13: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_99,type,
sK14: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_100,type,
sK15: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_101,type,
sK16: ( refine424419629nres_a > set_Pr451126599t_unit ) > refine424419629nres_a ).
thf(func_def_102,type,
sK17: ( refine424419629nres_a > set_Pr451126599t_unit ) > refine424419629nres_a ).
thf(func_def_103,type,
sK18: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_104,type,
sK19: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_105,type,
sK20: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_106,type,
sK21: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_107,type,
sK22: ( set_a > set_a ) > set_a ).
thf(func_def_108,type,
sK23: ( set_a > set_a ) > set_a ).
thf(func_def_109,type,
sK24: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_110,type,
sK25: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_111,type,
sK26: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > ( product_unit > refine787176636t_unit ) > product_unit ).
thf(func_def_112,type,
sK27: refine787176636t_unit > refine787176636t_unit > ( product_unit > refine787176636t_unit ) > product_unit ).
thf(func_def_113,type,
sK28: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_114,type,
sK29: ( refine787176636t_unit > $o ) > refine787176636t_unit > refine787176636t_unit ).
thf(func_def_115,type,
sK30: ( refine787176636t_unit > $o ) > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_116,type,
sK31: refine787176636t_unit > refine787176636t_unit > ( product_unit > refine787176636t_unit ) > product_unit ).
thf(func_def_117,type,
sK32: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_118,type,
sK33: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_119,type,
sK34: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_120,type,
sK35: ( set_a > set_a ) > set_a ).
thf(func_def_121,type,
sK36: ( set_a > set_a ) > set_a ).
thf(func_def_122,type,
sK37: product_unit > set_Pr451126599t_unit > refine787176636t_unit > product_unit ).
thf(func_def_123,type,
sK38: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_124,type,
sK39: ( product_unit > refine424419629nres_a ) > refine787176636t_unit > refine424419629nres_a > product_unit ).
thf(func_def_125,type,
sK40: refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_126,type,
sK41: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_127,type,
sK42: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_128,type,
sK43: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_129,type,
sK44: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_130,type,
sK45: ( refine787176636t_unit > refine424419629nres_a ) > ( refine424419629nres_a > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_131,type,
sK46: ( refine787176636t_unit > refine424419629nres_a ) > ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_132,type,
sK47: refine424419629nres_a > refine424419629nres_a > ( a > refine424419629nres_a ) > a ).
thf(func_def_133,type,
sK48: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_134,type,
sK49: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_135,type,
sK50: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_136,type,
sK51: ( product_unit > refine424419629nres_a ) > ( product_unit > refine424419629nres_a ) > product_unit ).
thf(func_def_137,type,
sK52: ( set_Pr451126599t_unit > refine424419629nres_a ) > set_Pr451126599t_unit ).
thf(func_def_138,type,
sK53: ( set_Pr451126599t_unit > refine424419629nres_a ) > set_Pr451126599t_unit ).
thf(func_def_139,type,
sK54: ( product_unit > refine787176636t_unit ) > ( product_unit > refine787176636t_unit ) > product_unit ).
thf(func_def_140,type,
sK55: ( refine787176636t_unit > refine787176636t_unit ) > ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_141,type,
sK56: ( refine787176636t_unit > refine787176636t_unit ) > ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_142,type,
sK57: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_143,type,
sK58: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_144,type,
sK59: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_145,type,
sK60: ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_146,type,
sK61: ( refine424419629nres_a > set_Pr451126599t_unit ) > refine424419629nres_a ).
thf(func_def_147,type,
sK62: ( refine424419629nres_a > set_Pr451126599t_unit ) > refine424419629nres_a ).
thf(func_def_148,type,
sK63: ( product_unit > refine787176636t_unit ) > refine787176636t_unit > product_unit ).
thf(func_def_149,type,
sK64: refine787176636t_unit > product_unit ).
thf(func_def_150,type,
sK65: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_151,type,
sK66: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_152,type,
sK67: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_153,type,
sK68: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_154,type,
sK69: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_155,type,
sK70: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_156,type,
sK71: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_157,type,
sK72: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_158,type,
sK73: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_159,type,
sK74: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_160,type,
sK75: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_161,type,
sK76: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_162,type,
sK77: ( a > refine787176636t_unit ) > refine424419629nres_a > a ).
thf(func_def_163,type,
sK78: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_164,type,
sK79: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_165,type,
sK80: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_166,type,
sK81: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_167,type,
sK82: refine787176636t_unit > ( product_unit > refine787176636t_unit ) > ( product_unit > refine787176636t_unit ) > product_unit ).
thf(func_def_168,type,
sK83: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_169,type,
sK84: refine424419629nres_a > a ).
thf(func_def_170,type,
sK85: refine424419629nres_a > refine424419629nres_a > a ).
thf(func_def_171,type,
sK86: ( refine424419629nres_a > refine787176636t_unit ) > ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_172,type,
sK87: ( refine424419629nres_a > refine787176636t_unit ) > ( refine787176636t_unit > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_173,type,
sK88: refine787176636t_unit > ( refine787176636t_unit > $o ) > refine787176636t_unit ).
thf(func_def_174,type,
sK89: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_175,type,
sK90: set_Product_prod_a_a > a > refine424419629nres_a > a ).
thf(func_def_176,type,
sK91: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_177,type,
sK92: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_178,type,
sK93: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > refine424419629nres_a > a ).
thf(func_def_179,type,
sK94: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_180,type,
sK95: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_181,type,
sK96: ( a > refine787176636t_unit ) > ( a > refine787176636t_unit ) > refine424419629nres_a > a ).
thf(func_def_182,type,
sK97: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_183,type,
sK98: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_184,type,
sK99: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_185,type,
sK100: ( refine787176636t_unit > refine424419629nres_a ) > refine787176636t_unit ).
thf(func_def_186,type,
sK101: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_187,type,
sK102: ( refine424419629nres_a > refine787176636t_unit ) > refine424419629nres_a ).
thf(func_def_188,type,
sK103: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_189,type,
sK104: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_190,type,
sK105: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_191,type,
sK106: ( set_a > refine787176636t_unit ) > set_a ).
thf(func_def_192,type,
sK107: ( a > refine787176636t_unit ) > refine424419629nres_a > refine787176636t_unit > a ).
thf(func_def_193,type,
sK108: ( refine424419629nres_a > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_194,type,
sK109: ( refine424419629nres_a > refine424419629nres_a ) > ( refine424419629nres_a > refine424419629nres_a ) > refine424419629nres_a ).
thf(func_def_195,type,
sK110: refine787176636t_unit > set_Pr451126599t_unit > product_unit ).
thf(func_def_196,type,
sK111: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_197,type,
sK112: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_198,type,
sK113: a > refine787176636t_unit > set_Pr1720557880unit_a > product_unit ).
thf(func_def_199,type,
sK114: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_200,type,
sK115: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_201,type,
sK116: refine424419629nres_a > set_Pr1628433942t_unit > a ).
thf(func_def_202,type,
sK117: ( product_unit > refine424419629nres_a ) > ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_203,type,
sK118: ( a > refine787176636t_unit ) > ( a > refine787176636t_unit ) > a ).
thf(func_def_204,type,
sK119: ( refine424419629nres_a > $o ) > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_205,type,
sK120: refine424419629nres_a > ( refine424419629nres_a > $o ) > refine424419629nres_a ).
thf(func_def_206,type,
sK121: refine424419629nres_a > ( product_unit > refine424419629nres_a ) > refine787176636t_unit > product_unit ).
thf(func_def_207,type,
sK122: ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > a ).
thf(func_def_208,type,
sK123: refine424419629nres_a > ( a > refine424419629nres_a ) > ( a > refine424419629nres_a ) > a ).
thf(func_def_209,type,
sK124: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_210,type,
sK125: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_211,type,
sK126: ( product_unit > $o ) > ( product_unit > $o ) > product_unit ).
thf(func_def_212,type,
sK127: refine787176636t_unit > set_Pr1720557880unit_a > product_unit ).
thf(func_def_213,type,
sK128: ( refine424419629nres_a > set_Pr451126599t_unit ) > refine424419629nres_a ).
thf(func_def_214,type,
sK129: ( refine424419629nres_a > set_Pr451126599t_unit ) > refine424419629nres_a ).
thf(func_def_215,type,
sK130: product_unit > refine424419629nres_a > set_Pr1628433942t_unit > a ).
thf(func_def_216,type,
sK131: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_217,type,
sK132: ( refine787176636t_unit > set_a ) > refine787176636t_unit ).
thf(func_def_218,type,
sK133: ( a > refine787176636t_unit ) > ( a > refine787176636t_unit ) > refine424419629nres_a > a ).
thf(func_def_219,type,
sK134: refine787176636t_unit > refine787176636t_unit > product_unit ).
thf(func_def_220,type,
sK135: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_221,type,
sK136: ( set_a > refine424419629nres_a ) > set_a ).
thf(func_def_222,type,
sK137: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_223,type,
sK138: ( refine424419629nres_a > set_a ) > refine424419629nres_a ).
thf(func_def_224,type,
sK139: refine424419629nres_a > set_Product_prod_a_a > a ).
thf(func_def_225,type,
sK140: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_226,type,
sK141: ( refine787176636t_unit > refine787176636t_unit ) > refine787176636t_unit ).
thf(func_def_227,type,
vNOT: $o > $o ).
thf(f4,axiom,
! [X0: product_unit > refine424419629nres_a] :
( ( refine119808503unit_a @ bot_bo658782032t_unit @ X0 )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_bind__SUCCEED) ).
thf(f358,conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
= bot_bo529555393nres_a ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(f359,negated_conjecture,
( ( refine119808503unit_a @ bot_bo658782032t_unit @ f )
!= bot_bo529555393nres_a ),
inference(negated_conjecture,[status(cth)],[f358]) ).
thf(f923,plain,
( bot_bo529555393nres_a
!= ( refine119808503unit_a @ bot_bo658782032t_unit @ f ) ),
inference(flattening,[],[f359]) ).
thf(f1872,plain,
( bot_bo529555393nres_a
!= ( refine119808503unit_a @ bot_bo658782032t_unit @ f ) ),
inference(cnf_transformation,[],[f923]) ).
thf(f2188,plain,
! [X0: product_unit > refine424419629nres_a] :
( bot_bo529555393nres_a
= ( refine119808503unit_a @ bot_bo658782032t_unit @ X0 ) ),
inference(cnf_transformation,[],[f4]) ).
thf(f2461,definition,
( spl142_7
<=> ( bot_bo529555393nres_a
= ( refine119808503unit_a @ bot_bo658782032t_unit @ f ) ) ),
introduced(definition,[new_symbols(definition,[spl142_7])],[avatar_definition]) ).
thf(f2463,plain,
( ( bot_bo529555393nres_a
!= ( refine119808503unit_a @ bot_bo658782032t_unit @ f ) )
| spl142_7 ),
inference(avatar_component_clause,[],[f2461]) ).
thf(f2464,plain,
~ spl142_7,
inference(avatar_split_clause,[],[f1872,f2461]) ).
thf(f2635,plain,
( ( bot_bo529555393nres_a != bot_bo529555393nres_a )
| spl142_7 ),
inference(superposition,[],[f2463,f2188]) ).
thf(f2636,plain,
( $false
| spl142_7 ),
inference(trivial_inequality_removal,[],[f2635]) ).
thf(f2637,plain,
spl142_7,
inference(avatar_contradiction_clause,[],[f2636]) ).
cnf(s7,plain,
~ spl142_7,
inference(sat_conversion,[],[f2464]) ).
cnf(s60,plain,
spl142_7,
inference(sat_conversion,[],[f2637]) ).
cnf(s61,plain,
$false,
inference(rat,[],[s7,s60]) ).
thf(f2638,plain,
$false,
inference(avatar_sat_refutation,[],[s61]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : ITP164^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.27 % Computer : n009.cluster.edu
% 0.22/0.27 % Model : x86_64 x86_64
% 0.22/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.22/0.27 % Memory : 8046.5625MB
% 0.22/0.27 % OS : Linux 6.8.0-71-generic
% 0.22/0.27 % CPULimit : 300
% 0.22/0.27 % WCLimit : 300
% 0.22/0.27 % DateTime : Tue Sep 29 20:04:45 UTC 2026
% 0.22/0.28 % CPUTime :
% 0.22/0.28 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.22/0.31 Running higher-order theorem proving
% 0.32/0.38 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
% 0.71/0.58 % (287263)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.71/0.58 % (287269)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=3160951325:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.71/0.58 % (287270)lrs+10_16_si=on:nwc=1.5:random_seed=3263580826:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.71/0.58 % (287275)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.71/0.58 % (287275)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
% 0.71/0.58 % (287275)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=3697131475:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.71/0.58 % (287274)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3205313444:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.71/0.58 % (287271)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1359854782:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.71/0.58 % (287272)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=1688924327: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)
% 0.71/0.58 % (287271)Instruction limit reached!
% 0.71/0.58 % (287271)------------------------------
% 0.71/0.58 % (287271)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.58 % (287271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.58 % (287271)CaDiCaL version: 2.1.3
% 0.71/0.58 % (287271)Termination reason: Instruction limit
% 0.71/0.58 % (287271)Termination phase: shuffling
% 0.71/0.58 % (287271)Time elapsed: 0.003 s
% 0.71/0.58 % (287271)Peak memory usage: 10 MB
% 0.71/0.58 % (287271)Instructions burned: 3 (million)
% 0.71/0.58 % (287273)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=4192740486:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.71/0.58 % (287270)Instruction limit reached!
% 0.71/0.58 % (287270)------------------------------
% 0.71/0.58 % (287270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.58 % (287270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.58 % (287270)CaDiCaL version: 2.1.3
% 0.71/0.58 % (287270)Termination reason: Instruction limit
% 0.71/0.58 % (287270)Termination phase: shuffling
% 0.71/0.58 % (287270)Time elapsed: 0.016 s
% 0.71/0.58 % (287270)Peak memory usage: 10 MB
% 0.71/0.58 % (287270)Instructions burned: 19 (million)
% 0.71/0.58 % (287269)Instruction limit reached!
% 0.71/0.58 % (287269)------------------------------
% 0.71/0.58 % (287269)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.58 % (287269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.58 % (287269)CaDiCaL version: 2.1.3
% 0.71/0.58 % (287269)Termination reason: Instruction limit
% 0.71/0.58 % (287269)Termination phase: Function definition elimination
% 0.71/0.58 % (287269)Time elapsed: 0.039 s
% 0.71/0.58 % (287269)Peak memory usage: 12 MB
% 0.71/0.58 % (287269)Instructions burned: 88 (million)
% 0.71/0.58 % (287273)Instruction limit reached!
% 0.71/0.58 % (287273)------------------------------
% 0.71/0.58 % (287273)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.58 % (287273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.58 % (287273)CaDiCaL version: 2.1.3
% 0.71/0.58 % (287273)Termination reason: Instruction limit
% 0.71/0.58 % (287273)Termination phase: Property scanning
% 0.71/0.58 % (287273)Time elapsed: 0.021 s
% 0.71/0.58 % (287273)Peak memory usage: 11 MB
% 0.71/0.58 % (287273)Instructions burned: 24 (million)
% 0.71/0.58 % (287284)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=1260611624:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.71/0.58 % (287285)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=70110313:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.71/0.58 % (287284)Instruction limit reached!
% 0.71/0.59 % (287284)------------------------------
% 0.71/0.59 % (287284)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287284)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287284)Termination reason: Instruction limit
% 0.71/0.59 % (287284)Termination phase: shuffling
% 0.71/0.59 % (287284)Time elapsed: 0.003 s
% 0.71/0.59 % (287284)Peak memory usage: 10 MB
% 0.71/0.59 % (287284)Instructions burned: 3 (million)
% 0.71/0.59 % (287285)Instruction limit reached!
% 0.71/0.59 % (287285)------------------------------
% 0.71/0.59 % (287285)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287285)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287285)Termination reason: Instruction limit
% 0.71/0.59 % (287285)Termination phase: shuffling
% 0.71/0.59 % (287285)Time elapsed: 0.003 s
% 0.71/0.59 % (287285)Peak memory usage: 10 MB
% 0.71/0.59 % (287285)Instructions burned: 7 (million)
% 0.71/0.59 % (287286)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.59 % (287286)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=1716780946:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.71/0.59 % (287287)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=1591504714:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.71/0.59 % (287291)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=993689427:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.71/0.59 % (287274)Instruction limit reached!
% 0.71/0.59 % (287274)------------------------------
% 0.71/0.59 % (287274)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287274)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287274)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287274)Termination reason: Instruction limit
% 0.71/0.59 % (287274)Termination phase: Property scanning
% 0.71/0.59 % (287274)Time elapsed: 0.064 s
% 0.71/0.59 % (287274)Peak memory usage: 12 MB
% 0.71/0.59 % (287274)Instructions burned: 76 (million)
% 0.71/0.59 % (287286)Instruction limit reached!
% 0.71/0.59 % (287286)------------------------------
% 0.71/0.59 % (287286)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287286)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287286)Termination reason: Instruction limit
% 0.71/0.59 % (287286)Termination phase: shuffling
% 0.71/0.59 % (287286)Time elapsed: 0.006 s
% 0.71/0.59 % (287286)Peak memory usage: 10 MB
% 0.71/0.59 % (287286)Instructions burned: 7 (million)
% 0.71/0.59 % (287290)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
% 0.71/0.59 % (287290)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.71/0.59 % (287287)Instruction limit reached!
% 0.71/0.59 % (287287)------------------------------
% 0.71/0.59 % (287287)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287287)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287287)Termination reason: Instruction limit
% 0.71/0.59 % (287287)Termination phase: shuffling
% 0.71/0.59 % (287287)Time elapsed: 0.012 s
% 0.71/0.59 % (287287)Peak memory usage: 10 MB
% 0.71/0.59 % (287287)Instructions burned: 13 (million)
% 0.71/0.59 % (287290)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=2602175345:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.71/0.59 % (287296)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.71/0.59 % (287296)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=1240806966:i=2:add=on:rtra=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.71/0.59 % (287296)Instruction limit reached!
% 0.71/0.59 % (287296)------------------------------
% 0.71/0.59 % (287296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287296)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287296)Termination reason: Instruction limit
% 0.71/0.59 % (287296)Termination phase: shuffling
% 0.71/0.59 % (287296)Time elapsed: 0.002 s
% 0.71/0.59 % (287296)Peak memory usage: 10 MB
% 0.71/0.59 % (287296)Instructions burned: 4 (million)
% 0.71/0.59 % (287295)lrs+10_1_si=on:cs=on:random_seed=1402094514:i=8:rtra=on:ntd=on_2998 on theBenchmark for (2998ds/8Mi)
% 0.71/0.59 % (287291)Instruction limit reached!
% 0.71/0.59 % (287291)------------------------------
% 0.71/0.59 % (287291)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287291)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287291)Termination reason: Instruction limit
% 0.71/0.59 % (287291)Termination phase: Property scanning
% 0.71/0.59 % (287291)Time elapsed: 0.036 s
% 0.71/0.59 % (287291)Peak memory usage: 11 MB
% 0.71/0.59 % (287291)Instructions burned: 87 (million)
% 0.71/0.59 % (287290)Instruction limit reached!
% 0.71/0.59 % (287290)------------------------------
% 0.71/0.59 % (287290)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287290)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287290)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287290)Termination reason: Instruction limit
% 0.71/0.59 % (287290)Termination phase: shuffling
% 0.71/0.59 % (287290)Time elapsed: 0.024 s
% 0.71/0.59 % (287290)Peak memory usage: 11 MB
% 0.71/0.59 % (287290)Instructions burned: 29 (million)
% 0.71/0.59 % (287295)Instruction limit reached!
% 0.71/0.59 % (287295)------------------------------
% 0.71/0.59 % (287295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287295)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287295)Termination reason: Instruction limit
% 0.71/0.59 % (287295)Termination phase: shuffling
% 0.71/0.59 % (287295)Time elapsed: 0.007 s
% 0.71/0.59 % (287295)Peak memory usage: 10 MB
% 0.71/0.59 % (287295)Instructions burned: 8 (million)
% 0.71/0.59 % (287297)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=3844229230:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/38Mi)
% 0.71/0.59 % (287303)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=1242950051:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.71/0.59 % (287300)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=446798469:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.71/0.59 % (287275)Instruction limit reached!
% 0.71/0.59 % (287275)------------------------------
% 0.71/0.59 % (287275)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287275)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287275)Termination reason: Instruction limit
% 0.71/0.59 % (287275)Termination phase: Saturation
% 0.71/0.59 % (287275)Time elapsed: 0.125 s
% 0.71/0.59 % (287275)Peak memory usage: 13 MB
% 0.71/0.59 % (287275)Instructions burned: 157 (million)
% 0.71/0.59 % (287303)Instruction limit reached!
% 0.71/0.59 % (287303)------------------------------
% 0.71/0.59 % (287303)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287303)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287303)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287303)Termination reason: Instruction limit
% 0.71/0.59 % (287303)Termination phase: shuffling
% 0.71/0.59 % (287303)Time elapsed: 0.006 s
% 0.71/0.59 % (287303)Peak memory usage: 10 MB
% 0.71/0.59 % (287303)Instructions burned: 14 (million)
% 0.71/0.59 % (287302)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=3453668619:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.71/0.59 % (287304)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=2595877780:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.71/0.59 % (287297)Instruction limit reached!
% 0.71/0.59 % (287297)------------------------------
% 0.71/0.59 % (287297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.71/0.59 % (287297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.71/0.59 % (287297)CaDiCaL version: 2.1.3
% 0.71/0.59 % (287297)Termination reason: Instruction limit
% 0.71/0.59 % (287297)Termination phase: SInE selection
% 0.71/0.59 % (287297)Time elapsed: 0.033 s
% 0.71/0.59 % (287297)Peak memory usage: 11 MB
% 0.71/0.59 % (287297)Instructions burned: 39 (million)
% 0.71/0.59 % (287272) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-287263-287272"...
% 0.71/0.59 % (287310)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2749373008:st=4:i=2:add=off:sd=3:nm=16:fsr=off:rtra=on:ss=axioms:sgt=8:ntd=on_2998 on theBenchmark for (2998ds/2Mi)
% 0.71/0.59 % (287272)...printing done.
% 0.71/0.59 % (287302)Instruction limit reached!
% 0.71/0.59 % (287302)------------------------------
% 1.44/0.59 % (287302)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.59 % (287302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.59 % (287302)CaDiCaL version: 2.1.3
% 1.44/0.59 % (287310)Instruction limit reached!
% 1.44/0.59 % (287310)------------------------------
% 1.44/0.59 % (287310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.59 % (287302)Termination reason: Instruction limit
% 1.44/0.59 % (287302)Termination phase: Property scanning
% 1.44/0.59 % (287302)Time elapsed: 0.022 s
% 1.44/0.59 % (287302)Peak memory usage: 11 MB
% 1.44/0.59 % (287310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.59 % (287302)Instructions burned: 25 (million)
% 1.44/0.59 % (287310)CaDiCaL version: 2.1.3
% 1.44/0.59 % (287310)Termination reason: Instruction limit
% 1.44/0.59 % (287310)Termination phase: shuffling
% 1.44/0.59 % (287310)Time elapsed: 0.002 s
% 1.44/0.59 % (287310)Peak memory usage: 10 MB
% 1.44/0.59 % (287310)Instructions burned: 4 (million)
% 1.44/0.59 % (287272)Refutation found. Thanks to Tanya!
% 1.44/0.59 % SZS status Theorem for theBenchmark
% 1.44/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 1.44/0.60 % (287272)------------------------------
% 1.44/0.60 % (287272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.44/0.60 % (287272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.44/0.60 % (287272)CaDiCaL version: 2.1.3
% 1.44/0.60 % (287272)Termination reason: Refutation
% 1.44/0.60 % (287272)Time elapsed: 0.140 s
% 1.44/0.60 % (287272)Peak memory usage: 15 MB
% 1.44/0.60 % (287272)Instructions burned: 161 (million)
% 1.44/0.60 % (287263)Success in time 0.205 s
% 1.44/0.60 % Vampire exiting
%------------------------------------------------------------------------------