%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ITP152^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 08:08:34 AM UTC 2026
% Result : Theorem 0.90s 0.48s
% Output : Refutation 0.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 47 ( 21 unt; 0 typ; 4 def)
% Number of atoms : 189 ( 44 equ; 0 cnn)
% Maximal formula atoms : 5 ( 4 avg)
% Number of connectives : 273 ( 37 ~; 43 |; 1 &; 182 @)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 23 ( 22 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 328 ( 325 usr; 14 con; 0-4 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
thf(type_def_5,type,
set_Pr1930443975od_a_a: $tType ).
thf(type_def_6,type,
produc562496743od_a_a: $tType ).
thf(type_def_7,type,
set_Pr1295299783od_a_a: $tType ).
thf(type_def_8,type,
produc1990712039od_a_a: $tType ).
thf(type_def_9,type,
set_Pr146455751iset_a: $tType ).
thf(type_def_10,type,
produc558600423iset_a: $tType ).
thf(type_def_11,type,
set_Pr1821581383od_a_a: $tType ).
thf(type_def_12,type,
produc2061001575od_a_a: $tType ).
thf(type_def_13,type,
set_Pr1948701895od_a_a: $tType ).
thf(type_def_14,type,
produc1572603623od_a_a: $tType ).
thf(type_def_15,type,
set_Pr158363655iset_a: $tType ).
thf(type_def_16,type,
produc1127127335iset_a: $tType ).
thf(type_def_17,type,
multis1735859763od_a_a: $tType ).
thf(type_def_18,type,
set_mu1281098573od_a_a: $tType ).
thf(type_def_19,type,
multis599418605od_a_a: $tType ).
thf(type_def_20,type,
set_Product_prod_a_a: $tType ).
thf(type_def_21,type,
multiset_multiset_a: $tType ).
thf(type_def_22,type,
set_multiset_a: $tType ).
thf(type_def_23,type,
product_prod_a_a: $tType ).
thf(type_def_24,type,
multiset_a: $tType ).
thf(type_def_25,type,
set_a: $tType ).
thf(type_def_26,type,
a: $tType ).
thf(type_def_27,type,
sTfun: ( $tType * $tType ) > $tType ).
thf(func_def_0,type,
minus_1257885652od_a_a: multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_1,type,
minus_1649712171iset_a: multiset_a > multiset_a > multiset_a ).
thf(func_def_2,type,
plus_p404985124od_a_a: multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_3,type,
plus_plus_multiset_a: multiset_a > multiset_a > multiset_a ).
thf(func_def_4,type,
zero_z160849828od_a_a: multis599418605od_a_a ).
thf(func_def_5,type,
zero_zero_multiset_a: multiset_a ).
thf(func_def_6,type,
add_ms1725977093od_a_a: product_prod_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_7,type,
add_mset_a: a > multiset_a > multiset_a ).
thf(func_def_8,type,
fold_m773816523od_a_a: ( multis599418605od_a_a > multis599418605od_a_a > multis599418605od_a_a ) > multis599418605od_a_a > multis1735859763od_a_a > multis599418605od_a_a ).
thf(func_def_9,type,
fold_m382157835iset_a: ( multiset_a > multiset_a > multiset_a ) > multiset_a > multiset_multiset_a > multiset_a ).
thf(func_def_10,type,
mult1_1719650714od_a_a: set_Pr1948701895od_a_a > set_Pr1821581383od_a_a ).
thf(func_def_11,type,
mult1_a: set_Product_prod_a_a > set_Pr158363655iset_a ).
thf(func_def_12,type,
mult_a: set_Product_prod_a_a > set_Pr158363655iset_a ).
thf(func_def_13,type,
multp_a: ( a > a > $o ) > multiset_a > multiset_a > $o ).
thf(func_def_14,type,
set_ms1869569194od_a_a: multis1735859763od_a_a > set_mu1281098573od_a_a ).
thf(func_def_15,type,
set_mset_multiset_a: multiset_multiset_a > set_multiset_a ).
thf(func_def_16,type,
set_ms1818337124od_a_a: multis599418605od_a_a > set_Product_prod_a_a ).
thf(func_def_17,type,
set_mset_a: multiset_a > set_a ).
thf(func_def_18,type,
order_1040740996od_a_a: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_19,type,
order_750350043iset_a: set_multiset_a > set_Pr158363655iset_a > $o ).
thf(func_def_20,type,
order_1210379134od_a_a: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > $o ).
thf(func_def_21,type,
order_761691966iset_a: set_Pr158363655iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_22,type,
order_491428350od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_23,type,
order_359341630od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_24,type,
order_preorder_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_25,type,
order_1505515173od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_26,type,
order_1558116988r_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_27,type,
ord_le1824328871od_a_a: set_Product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_28,type,
ord_less_eq_set_a: set_a > set_a > $o ).
thf(func_def_29,type,
top_to1483957574_a_a_o: product_prod_a_a > $o ).
thf(func_def_30,type,
top_top_a_o: a > $o ).
thf(func_def_31,type,
top_to398455383od_a_a: set_Product_prod_a_a ).
thf(func_def_32,type,
top_top_set_a: set_a ).
thf(func_def_33,type,
prefer1191731497od_a_a: multis599418605od_a_a > set_mu1281098573od_a_a > set_Pr1821581383od_a_a > set_mu1281098573od_a_a ).
thf(func_def_34,type,
prefer2130004608iset_a: multiset_a > set_multiset_a > set_Pr158363655iset_a > set_multiset_a ).
thf(func_def_35,type,
prefer737894307od_a_a: produc2061001575od_a_a > set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > set_Pr1821581383od_a_a ).
thf(func_def_36,type,
prefer619498851iset_a: produc1127127335iset_a > set_Pr158363655iset_a > set_Pr146455751iset_a > set_Pr158363655iset_a ).
thf(func_def_37,type,
prefer55414563od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > set_Pr1948701895od_a_a ).
thf(func_def_38,type,
prefer477097315od_a_a: product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a > set_Product_prod_a_a ).
thf(func_def_39,type,
prefer161218362good_a: a > set_a > set_Product_prod_a_a > set_a ).
thf(func_def_40,type,
prefer1340910575od_a_a: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_41,type,
prefer1571048262iset_a: set_multiset_a > set_Pr158363655iset_a > $o ).
thf(func_def_42,type,
prefer273553257od_a_a: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > $o ).
thf(func_def_43,type,
prefer1608839465iset_a: set_Pr158363655iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_44,type,
prefer1409946857od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_45,type,
prefer1338892073od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_46,type,
prefer1292084992ence_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_47,type,
prefer1669415233od_a_a: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_48,type,
prefer1779827352iset_a: set_multiset_a > set_Pr158363655iset_a > $o ).
thf(func_def_49,type,
prefer933983163od_a_a: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > $o ).
thf(func_def_50,type,
prefer841781627iset_a: set_Pr158363655iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_51,type,
prefer1828051771od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_52,type,
prefer697821563od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_53,type,
prefer719835986ence_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_54,type,
prefer1064779160od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_55,type,
prefer580340847ioms_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_56,type,
produc1859144151od_a_a: multis599418605od_a_a > multis599418605od_a_a > produc2061001575od_a_a ).
thf(func_def_57,type,
produc2037245207iset_a: multiset_a > multiset_a > produc1127127335iset_a ).
thf(func_def_58,type,
produc978545495od_a_a: produc2061001575od_a_a > produc2061001575od_a_a > produc562496743od_a_a ).
thf(func_def_59,type,
produc1898392407iset_a: produc1127127335iset_a > produc1127127335iset_a > produc558600423iset_a ).
thf(func_def_60,type,
produc1935643479od_a_a: produc1572603623od_a_a > produc1572603623od_a_a > produc1990712039od_a_a ).
thf(func_def_61,type,
produc1474507607od_a_a: product_prod_a_a > product_prod_a_a > produc1572603623od_a_a ).
thf(func_def_62,type,
product_Pair_a_a: a > a > product_prod_a_a ).
thf(func_def_63,type,
produc1548936141_a_a_o: ( produc2061001575od_a_a > $o ) > multis599418605od_a_a > multis599418605od_a_a > $o ).
thf(func_def_64,type,
produc1530159757et_a_o: ( produc1127127335iset_a > $o ) > multiset_a > multiset_a > $o ).
thf(func_def_65,type,
produc94438221_a_a_o: ( produc1572603623od_a_a > $o ) > product_prod_a_a > product_prod_a_a > $o ).
thf(func_def_66,type,
product_curry_a_a_o: ( product_prod_a_a > $o ) > a > a > $o ).
thf(func_def_67,type,
produc143372156od_a_a: ( product_prod_a_a > set_Product_prod_a_a ) > a > a > set_Product_prod_a_a ).
thf(func_def_68,type,
produc580150227_set_a: ( product_prod_a_a > set_a ) > a > a > set_a ).
thf(func_def_69,type,
produc748978966_a_a_o: ( a > a > $o ) > product_prod_a_a > $o ).
thf(func_def_70,type,
produc1653225349od_a_a: ( a > a > set_Product_prod_a_a ) > product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_71,type,
produc694541532_set_a: ( a > a > set_a ) > product_prod_a_a > set_a ).
thf(func_def_72,type,
produc700022774_a_a_a: ( a > a ) > ( a > a ) > product_prod_a_a > product_prod_a_a ).
thf(func_def_73,type,
produc429414904iset_a: ( multiset_a > multiset_a > set_multiset_a ) > produc1127127335iset_a > set_multiset_a ).
thf(func_def_74,type,
produc2041367259od_a_a: ( multiset_a > multiset_a > set_Product_prod_a_a ) > produc1127127335iset_a > set_Product_prod_a_a ).
thf(func_def_75,type,
produc747255346_set_a: ( multiset_a > multiset_a > set_a ) > produc1127127335iset_a > set_a ).
thf(func_def_76,type,
produc734625720iset_a: ( product_prod_a_a > product_prod_a_a > set_multiset_a ) > produc1572603623od_a_a > set_multiset_a ).
thf(func_def_77,type,
produc869579762_set_a: ( product_prod_a_a > product_prod_a_a > set_a ) > produc1572603623od_a_a > set_a ).
thf(func_def_78,type,
produc1833107820_a_a_o: ( a > a > $o ) > product_prod_a_a > $o ).
thf(func_def_79,type,
produc1121147169od_a_a: ( a > a > set_mu1281098573od_a_a ) > product_prod_a_a > set_mu1281098573od_a_a ).
thf(func_def_80,type,
produc1828150264iset_a: ( a > a > set_multiset_a ) > product_prod_a_a > set_multiset_a ).
thf(func_def_81,type,
produc93594587iset_a: ( a > a > set_Pr158363655iset_a ) > product_prod_a_a > set_Pr158363655iset_a ).
thf(func_def_82,type,
produc1093061851od_a_a: ( a > a > set_Product_prod_a_a ) > product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_83,type,
produc961951794_set_a: ( a > a > set_a ) > product_prod_a_a > set_a ).
thf(func_def_84,type,
product_fst_a_a: product_prod_a_a > a ).
thf(func_def_85,type,
product_snd_a_a: product_prod_a_a > a ).
thf(func_def_86,type,
produc1913956215od_a_a: produc2061001575od_a_a > produc2061001575od_a_a ).
thf(func_def_87,type,
produc506430135iset_a: produc1127127335iset_a > produc1127127335iset_a ).
thf(func_def_88,type,
produc1641853175od_a_a: produc1572603623od_a_a > produc1572603623od_a_a ).
thf(func_def_89,type,
product_swap_a_a: product_prod_a_a > product_prod_a_a ).
thf(func_def_90,type,
asym_a: set_Product_prod_a_a > $o ).
thf(func_def_91,type,
inv_im1681759523_a_a_a: set_Pr1821581383od_a_a > ( a > multis599418605od_a_a ) > set_Product_prod_a_a ).
thf(func_def_92,type,
inv_im343774418iset_a: set_Pr158363655iset_a > ( multiset_a > multiset_a ) > set_Pr158363655iset_a ).
thf(func_def_93,type,
inv_im1716587189od_a_a: set_Pr158363655iset_a > ( product_prod_a_a > multiset_a ) > set_Pr1948701895od_a_a ).
thf(func_def_94,type,
inv_im975322764et_a_a: set_Pr158363655iset_a > ( a > multiset_a ) > set_Product_prod_a_a ).
thf(func_def_95,type,
inv_im184450735iset_a: set_Pr1948701895od_a_a > ( multiset_a > product_prod_a_a ) > set_Pr158363655iset_a ).
thf(func_def_96,type,
inv_im777352425_a_a_a: set_Pr1948701895od_a_a > ( a > product_prod_a_a ) > set_Product_prod_a_a ).
thf(func_def_97,type,
inv_im941243329od_a_a: set_Product_prod_a_a > ( multis599418605od_a_a > a ) > set_Pr1821581383od_a_a ).
thf(func_def_98,type,
inv_im479034648iset_a: set_Product_prod_a_a > ( multiset_a > a ) > set_Pr158363655iset_a ).
thf(func_def_99,type,
inv_im15016955od_a_a: set_Product_prod_a_a > ( product_prod_a_a > a ) > set_Pr1948701895od_a_a ).
thf(func_def_100,type,
inv_image_a_a: set_Product_prod_a_a > ( a > a ) > set_Product_prod_a_a ).
thf(func_def_101,type,
irrefl1672195874od_a_a: set_Pr1821581383od_a_a > $o ).
thf(func_def_102,type,
irrefl_multiset_a: set_Pr158363655iset_a > $o ).
thf(func_def_103,type,
irrefl76447196od_a_a: set_Pr1948701895od_a_a > $o ).
thf(func_def_104,type,
irrefl_a: set_Product_prod_a_a > $o ).
thf(func_def_105,type,
refl_o581572716od_a_a: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_106,type,
refl_on_multiset_a: set_multiset_a > set_Pr158363655iset_a > $o ).
thf(func_def_107,type,
refl_o102522214od_a_a: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > $o ).
thf(func_def_108,type,
refl_o1522155814iset_a: set_Pr158363655iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_109,type,
refl_o198693862od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_110,type,
refl_o1298442278od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_111,type,
refl_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_112,type,
total_1024184433od_a_a: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_113,type,
total_on_multiset_a: set_multiset_a > set_Pr158363655iset_a > $o ).
thf(func_def_114,type,
total_1170533099od_a_a: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > $o ).
thf(func_def_115,type,
total_313747627iset_a: set_Pr158363655iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_116,type,
total_1340260971od_a_a: set_Pr1948701895od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_117,type,
total_1490170027od_a_a: set_Product_prod_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_118,type,
total_on_a: set_a > set_Product_prod_a_a > $o ).
thf(func_def_119,type,
trans_1520871884od_a_a: set_Pr1821581383od_a_a > $o ).
thf(func_def_120,type,
trans_multiset_a: set_Pr158363655iset_a > $o ).
thf(func_def_121,type,
trans_972827014od_a_a: set_Pr1948701895od_a_a > $o ).
thf(func_def_122,type,
trans_a: set_Product_prod_a_a > $o ).
thf(func_def_123,type,
collec1948052440od_a_a: ( multis599418605od_a_a > $o ) > set_mu1281098573od_a_a ).
thf(func_def_124,type,
collect_multiset_a: ( multiset_a > $o ) > set_multiset_a ).
thf(func_def_125,type,
collec8264402od_a_a: ( produc2061001575od_a_a > $o ) > set_Pr1821581383od_a_a ).
thf(func_def_126,type,
collec1104713362iset_a: ( produc1127127335iset_a > $o ) > set_Pr158363655iset_a ).
thf(func_def_127,type,
collec1635618130od_a_a: ( produc1572603623od_a_a > $o ) > set_Pr1948701895od_a_a ).
thf(func_def_128,type,
collec645855634od_a_a: ( product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_129,type,
collect_a: ( a > $o ) > set_a ).
thf(func_def_130,type,
image_794773445od_a_a: ( product_prod_a_a > product_prod_a_a ) > set_Product_prod_a_a > set_Product_prod_a_a ).
thf(func_def_131,type,
image_340790172_a_a_a: ( product_prod_a_a > a ) > set_Product_prod_a_a > set_a ).
thf(func_def_132,type,
image_1725938350od_a_a: ( a > product_prod_a_a ) > set_a > set_Product_prod_a_a ).
thf(func_def_133,type,
image_a_a: ( a > a ) > set_a > set_a ).
thf(func_def_134,type,
lex_prod_a_a: set_Product_prod_a_a > set_Product_prod_a_a > set_Pr1948701895od_a_a ).
thf(func_def_135,type,
same_fst_a_a: ( a > $o ) > ( a > set_Product_prod_a_a ) > set_Pr1948701895od_a_a ).
thf(func_def_136,type,
member1755255446od_a_a: multis599418605od_a_a > set_mu1281098573od_a_a > $o ).
thf(func_def_137,type,
member_multiset_a: multiset_a > set_multiset_a > $o ).
thf(func_def_138,type,
member1349055120od_a_a: produc2061001575od_a_a > set_Pr1821581383od_a_a > $o ).
thf(func_def_139,type,
member340150864iset_a: produc1127127335iset_a > set_Pr158363655iset_a > $o ).
thf(func_def_140,type,
member2007374608od_a_a: produc562496743od_a_a > set_Pr1930443975od_a_a > $o ).
thf(func_def_141,type,
member567864080iset_a: produc558600423iset_a > set_Pr146455751iset_a > $o ).
thf(func_def_142,type,
member1899387664od_a_a: produc1990712039od_a_a > set_Pr1295299783od_a_a > $o ).
thf(func_def_143,type,
member2057358096od_a_a: produc1572603623od_a_a > set_Pr1948701895od_a_a > $o ).
thf(func_def_144,type,
member449909584od_a_a: product_prod_a_a > set_Product_prod_a_a > $o ).
thf(func_def_145,type,
member_a: a > set_a > $o ).
thf(func_def_146,type,
carrier: set_a ).
thf(func_def_147,type,
relation: set_Product_prod_a_a ).
thf(func_def_148,type,
x: a ).
thf(func_def_149,type,
y: a ).
thf(func_def_153,type,
vAND: $o > $o > $o ).
thf(func_def_154,type,
db1:
!>[X0: $tType] : X0 ).
thf(func_def_155,type,
db0:
!>[X0: $tType] : X0 ).
thf(func_def_156,type,
vLAM:
!>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).
thf(func_def_157,type,
vSIGMA:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_158,type,
vPI:
!>[X0: $tType] : ( ( X0 > $o ) > $o ) ).
thf(func_def_159,type,
vIMP: $o > $o > $o ).
thf(func_def_160,type,
db2:
!>[X0: $tType] : X0 ).
thf(func_def_161,type,
vNOT: $o > $o ).
thf(func_def_162,type,
vEQ:
!>[X0: $tType] : ( X0 > X0 > $o ) ).
thf(func_def_163,type,
db3:
!>[X0: $tType] : X0 ).
thf(func_def_164,type,
vOR: $o > $o > $o ).
thf(func_def_165,type,
sK0: set_Pr158363655iset_a > set_multiset_a > multiset_a ).
thf(func_def_166,type,
sK1: set_Pr158363655iset_a > set_multiset_a > multiset_a ).
thf(func_def_167,type,
sK2: set_Pr158363655iset_a > set_multiset_a > multiset_a ).
thf(func_def_168,type,
sK3: set_Pr158363655iset_a > set_multiset_a > multiset_a ).
thf(func_def_169,type,
sK4: multis599418605od_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a ).
thf(func_def_170,type,
sK5: multis599418605od_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_171,type,
sK6: multis599418605od_a_a > set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a ).
thf(func_def_172,type,
sK7: multiset_a > a ).
thf(func_def_173,type,
sK8: set_multiset_a > set_Pr158363655iset_a > multiset_a ).
thf(func_def_174,type,
sK9: set_multiset_a > set_Pr158363655iset_a > multiset_a ).
thf(func_def_175,type,
sK10: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_176,type,
sK11: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_177,type,
sK12: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).
thf(func_def_178,type,
sK13: ( product_prod_a_a > $o ) > ( product_prod_a_a > $o ) > product_prod_a_a ).
thf(func_def_179,type,
sK14: product_prod_a_a > ( a > a > set_mu1281098573od_a_a ) > multis599418605od_a_a > a ).
thf(func_def_180,type,
sK15: product_prod_a_a > ( a > a > set_mu1281098573od_a_a ) > multis599418605od_a_a > a ).
thf(func_def_181,type,
sK16: set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_182,type,
sK17: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).
thf(func_def_183,type,
sK18: set_Pr1948701895od_a_a > multis599418605od_a_a > multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).
thf(func_def_184,type,
sK19: ( product_prod_a_a > $o ) > a ).
thf(func_def_185,type,
sK20: ( product_prod_a_a > $o ) > a ).
thf(func_def_186,type,
sK21: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_187,type,
sK22: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_188,type,
sK23: ( product_prod_a_a > product_prod_a_a > set_a ) > produc1572603623od_a_a > a > product_prod_a_a ).
thf(func_def_189,type,
sK24: ( product_prod_a_a > product_prod_a_a > set_a ) > produc1572603623od_a_a > a > product_prod_a_a ).
thf(func_def_190,type,
sK25: produc1127127335iset_a > ( multiset_a > multiset_a > set_multiset_a ) > multiset_a > multiset_a ).
thf(func_def_191,type,
sK26: produc1127127335iset_a > ( multiset_a > multiset_a > set_multiset_a ) > multiset_a > multiset_a ).
thf(func_def_192,type,
sK27: product_prod_a_a > a ).
thf(func_def_193,type,
sK28: product_prod_a_a > a ).
thf(func_def_194,type,
sK29: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > produc2061001575od_a_a ).
thf(func_def_195,type,
sK30: set_Pr1821581383od_a_a > set_Pr1930443975od_a_a > produc2061001575od_a_a ).
thf(func_def_196,type,
sK31: multiset_a > a > multiset_a ).
thf(func_def_197,type,
sK32: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_198,type,
sK33: produc1572603623od_a_a > ( product_prod_a_a > product_prod_a_a > set_multiset_a ) > multiset_a > product_prod_a_a ).
thf(func_def_199,type,
sK34: produc1572603623od_a_a > ( product_prod_a_a > product_prod_a_a > set_multiset_a ) > multiset_a > product_prod_a_a ).
thf(func_def_200,type,
sK35: product_prod_a_a > a ).
thf(func_def_201,type,
sK36: product_prod_a_a > a ).
thf(func_def_202,type,
sK37: ( a > $o ) > ( a > $o ) > a ).
thf(func_def_203,type,
sK38: ( produc2061001575od_a_a > $o ) > multis599418605od_a_a ).
thf(func_def_204,type,
sK39: ( produc2061001575od_a_a > $o ) > multis599418605od_a_a ).
thf(func_def_205,type,
sK40: set_Product_prod_a_a > a > multiset_a > a ).
thf(func_def_206,type,
sK41: a > product_prod_a_a > a ).
thf(func_def_207,type,
sK42: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_208,type,
sK43: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_209,type,
sK44: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_210,type,
sK45: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_211,type,
sK46: ( multiset_a > multiset_a > set_a ) > produc1127127335iset_a > a > multiset_a ).
thf(func_def_212,type,
sK47: ( multiset_a > multiset_a > set_a ) > produc1127127335iset_a > a > multiset_a ).
thf(func_def_213,type,
sK48: multiset_multiset_a > a > multiset_a ).
thf(func_def_214,type,
sK49: set_Pr1948701895od_a_a > multis599418605od_a_a > product_prod_a_a > product_prod_a_a ).
thf(func_def_215,type,
sK50: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_216,type,
sK51: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_217,type,
sK52: ( produc1572603623od_a_a > $o ) > a ).
thf(func_def_218,type,
sK53: produc1572603623od_a_a > a ).
thf(func_def_219,type,
sK54: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_220,type,
sK55: produc1572603623od_a_a > a ).
thf(func_def_221,type,
sK56: set_Product_prod_a_a > ( a > product_prod_a_a ) > set_a > a ).
thf(func_def_222,type,
sK57: multis599418605od_a_a > product_prod_a_a ).
thf(func_def_223,type,
sK58: set_Product_prod_a_a > multiset_a > multiset_a > a ).
thf(func_def_224,type,
sK59: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).
thf(func_def_225,type,
sK60: set_Product_prod_a_a > multiset_a > multiset_a > multiset_a ).
thf(func_def_226,type,
sK61: product_prod_a_a > multis1735859763od_a_a > multis599418605od_a_a ).
thf(func_def_227,type,
sK62: set_Pr158363655iset_a > set_Pr146455751iset_a > produc1127127335iset_a ).
thf(func_def_228,type,
sK63: set_Pr158363655iset_a > set_Pr146455751iset_a > produc1127127335iset_a ).
thf(func_def_229,type,
sK64: a > product_prod_a_a > a ).
thf(func_def_230,type,
sK65: produc1127127335iset_a > multiset_a ).
thf(func_def_231,type,
sK66: produc1127127335iset_a > multiset_a ).
thf(func_def_232,type,
sK67: product_prod_a_a > product_prod_a_a > ( a > a > set_Product_prod_a_a ) > a ).
thf(func_def_233,type,
sK68: product_prod_a_a > product_prod_a_a > ( a > a > set_Product_prod_a_a ) > a ).
thf(func_def_234,type,
sK69: set_Pr1930443975od_a_a > set_Pr1821581383od_a_a > produc2061001575od_a_a ).
thf(func_def_235,type,
sK70: set_Pr1930443975od_a_a > set_Pr1821581383od_a_a > produc2061001575od_a_a ).
thf(func_def_236,type,
sK71: set_Pr1930443975od_a_a > set_Pr1821581383od_a_a > produc2061001575od_a_a ).
thf(func_def_237,type,
sK72: set_Pr1930443975od_a_a > set_Pr1821581383od_a_a > produc2061001575od_a_a ).
thf(func_def_238,type,
sK73: set_Pr158363655iset_a > multiset_a ).
thf(func_def_239,type,
sK74: produc1127127335iset_a > multiset_a ).
thf(func_def_240,type,
sK75: produc1127127335iset_a > multiset_a ).
thf(func_def_241,type,
sK76: set_a > ( a > a ) > set_a > a ).
thf(func_def_242,type,
sK77: produc1127127335iset_a > ( a > a > set_Pr158363655iset_a ) > product_prod_a_a > a ).
thf(func_def_243,type,
sK78: produc1127127335iset_a > ( a > a > set_Pr158363655iset_a ) > product_prod_a_a > a ).
thf(func_def_244,type,
sK79: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).
thf(func_def_245,type,
sK80: set_Product_prod_a_a > multiset_a > a > multiset_a > multiset_a ).
thf(func_def_246,type,
sK81: ( a > a > set_a ) > a > product_prod_a_a > a ).
thf(func_def_247,type,
sK82: ( a > a > set_a ) > a > product_prod_a_a > a ).
thf(func_def_248,type,
sK83: set_Product_prod_a_a > a ).
thf(func_def_249,type,
sK84: set_Product_prod_a_a > a ).
thf(func_def_250,type,
sK85: multiset_a > set_Product_prod_a_a > multiset_a > a ).
thf(func_def_251,type,
sK86: set_Product_prod_a_a > set_a > a ).
thf(func_def_252,type,
sK87: set_Product_prod_a_a > set_a > a ).
thf(func_def_253,type,
sK88: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).
thf(func_def_254,type,
sK89: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).
thf(func_def_255,type,
sK90: multiset_a > multiset_a > set_Product_prod_a_a > multiset_a ).
thf(func_def_256,type,
sK91: a > multiset_a > multiset_a > set_Product_prod_a_a > a ).
thf(func_def_257,type,
sK92: multis599418605od_a_a > product_prod_a_a > multis599418605od_a_a ).
thf(func_def_258,type,
sK93: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_259,type,
sK94: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_260,type,
sK95: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_261,type,
sK96: set_Product_prod_a_a > set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_262,type,
sK97: a > multiset_a > multiset_a ).
thf(func_def_263,type,
sK98: set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_264,type,
sK99: set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_265,type,
sK100: set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_266,type,
sK101: product_prod_a_a > ( multiset_a > multiset_a > set_Product_prod_a_a ) > produc1127127335iset_a > multiset_a ).
thf(func_def_267,type,
sK102: product_prod_a_a > ( multiset_a > multiset_a > set_Product_prod_a_a ) > produc1127127335iset_a > multiset_a ).
thf(func_def_268,type,
sK103: ( a > a ) > product_prod_a_a > set_Product_prod_a_a > ( a > a ) > a ).
thf(func_def_269,type,
sK104: ( a > a ) > product_prod_a_a > set_Product_prod_a_a > ( a > a ) > a ).
thf(func_def_270,type,
sK105: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_271,type,
sK106: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_272,type,
sK107: set_Product_prod_a_a > a ).
thf(func_def_273,type,
sK108: set_Product_prod_a_a > a ).
thf(func_def_274,type,
sK109: set_Product_prod_a_a > a ).
thf(func_def_275,type,
sK110: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_276,type,
sK111: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_277,type,
sK112: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_278,type,
sK113: set_mu1281098573od_a_a > set_Pr1821581383od_a_a > multis599418605od_a_a ).
thf(func_def_279,type,
sK114: ( a > a > set_multiset_a ) > product_prod_a_a > multiset_a > a ).
thf(func_def_280,type,
sK115: ( a > a > set_multiset_a ) > product_prod_a_a > multiset_a > a ).
thf(func_def_281,type,
sK116: ( produc2061001575od_a_a > $o ) > multis599418605od_a_a ).
thf(func_def_282,type,
sK117: ( produc2061001575od_a_a > $o ) > multis599418605od_a_a ).
thf(func_def_283,type,
sK118: set_Pr146455751iset_a > set_Pr158363655iset_a > produc1127127335iset_a ).
thf(func_def_284,type,
sK119: set_Pr146455751iset_a > set_Pr158363655iset_a > produc1127127335iset_a ).
thf(func_def_285,type,
sK120: set_Pr146455751iset_a > set_Pr158363655iset_a > produc1127127335iset_a ).
thf(func_def_286,type,
sK121: set_Pr146455751iset_a > set_Pr158363655iset_a > produc1127127335iset_a ).
thf(func_def_287,type,
sK122: ( product_prod_a_a > $o ) > a ).
thf(func_def_288,type,
sK123: ( product_prod_a_a > $o ) > a ).
thf(func_def_289,type,
sK124: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_290,type,
sK125: ( produc1127127335iset_a > $o ) > multiset_a ).
thf(func_def_291,type,
sK126: ( set_Product_prod_a_a > $o ) > set_Product_prod_a_a ).
thf(func_def_292,type,
sK127: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_293,type,
sK128: ( produc1572603623od_a_a > $o ) > product_prod_a_a ).
thf(func_def_294,type,
sK129: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_295,type,
sK130: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_296,type,
sK131: set_Pr158363655iset_a > multiset_a ).
thf(func_def_297,type,
sK132: set_Pr158363655iset_a > multiset_a ).
thf(func_def_298,type,
sK133: set_Pr158363655iset_a > multiset_a ).
thf(func_def_299,type,
sK134: set_Product_prod_a_a > set_a > a ).
thf(func_def_300,type,
sK135: set_Product_prod_a_a > set_a > a ).
thf(func_def_301,type,
sK136: set_Product_prod_a_a > set_a > a ).
thf(func_def_302,type,
sK137: set_Product_prod_a_a > set_a > a ).
thf(func_def_303,type,
sK138: produc2061001575od_a_a > multis599418605od_a_a ).
thf(func_def_304,type,
sK139: produc2061001575od_a_a > multis599418605od_a_a ).
thf(func_def_305,type,
sK140: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_306,type,
sK141: set_Product_prod_a_a > set_Product_prod_a_a > a ).
thf(func_def_307,type,
sK142: ( a > a > $o ) > set_Product_prod_a_a > a ).
thf(func_def_308,type,
sK143: ( a > a > $o ) > set_Product_prod_a_a > a ).
thf(func_def_309,type,
sK144: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_310,type,
sK145: set_Pr1948701895od_a_a > set_Product_prod_a_a > product_prod_a_a ).
thf(func_def_311,type,
sK146: set_Product_prod_a_a > a ).
thf(func_def_312,type,
sK147: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_313,type,
sK148: produc1572603623od_a_a > product_prod_a_a ).
thf(func_def_314,type,
sK149: set_Product_prod_a_a > ( product_prod_a_a > a ) > set_a > product_prod_a_a ).
thf(func_def_315,type,
sK150: produc2061001575od_a_a > multis599418605od_a_a ).
thf(func_def_316,type,
sK151: produc2061001575od_a_a > multis599418605od_a_a ).
thf(func_def_317,type,
sK152: set_Product_prod_a_a > set_Product_prod_a_a > ( product_prod_a_a > product_prod_a_a ) > product_prod_a_a ).
thf(func_def_318,type,
sK153: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_319,type,
sK154: set_Pr1295299783od_a_a > set_Pr1948701895od_a_a > produc1572603623od_a_a ).
thf(func_def_320,type,
sK155: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_321,type,
sK156: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(func_def_322,type,
sK157: set_Pr1948701895od_a_a > product_prod_a_a ).
thf(f4,axiom,
! [X0: a] :
( ( member_a @ X0 @ carrier )
=> ! [X1: a] :
( ( member_a @ X1 @ carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_compl) ).
thf(f356,axiom,
member_a @ x @ carrier,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(f357,axiom,
member_a @ y @ carrier,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
thf(f359,conjecture,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
thf(f360,negated_conjecture,
~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation ) ),
inference(negated_conjecture,[status(cth)],[f359]) ).
thf(f582,plain,
member_a @ y @ carrier,
inference(rectify,[],[f357]) ).
thf(f583,plain,
( ( member_a @ y @ carrier )
= $true ),
inference(fool_elimination,[],[f582]) ).
thf(f604,plain,
~ ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation ) ),
inference(rectify,[],[f360]) ).
thf(f605,plain,
~ ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
= $true ) ),
inference(fool_elimination,[],[f604]) ).
thf(f764,plain,
member_a @ x @ carrier,
inference(rectify,[],[f356]) ).
thf(f765,plain,
( ( member_a @ x @ carrier )
= $true ),
inference(fool_elimination,[],[f764]) ).
thf(f826,plain,
! [X0: a] :
( ( member_a @ X0 @ carrier )
=> ! [X1: a] :
( ( member_a @ X1 @ carrier )
=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
| ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation ) ) ) ),
inference(rectify,[],[f4]) ).
thf(f827,plain,
! [X0: a] :
( ( ( member_a @ X0 @ carrier )
= $true )
=> ! [X1: a] :
( ( ( member_a @ X1 @ carrier )
= $true )
=> ( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
= $true ) ) ) ),
inference(fool_elimination,[],[f826]) ).
thf(f1283,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
!= $true )
& ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
!= $true ) ),
inference(ennf_transformation,[],[f605]) ).
thf(f1375,plain,
! [X0: a] :
( ! [X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
= $true )
| ( ( member_a @ X1 @ carrier )
!= $true ) )
| ( ( member_a @ X0 @ carrier )
!= $true ) ),
inference(ennf_transformation,[],[f827]) ).
thf(f1376,plain,
! [X0: a] :
( ! [X1: a] :
( ( ( member_a @ X1 @ carrier )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation )
= $true ) )
| ( ( member_a @ X0 @ carrier )
!= $true ) ),
inference(flattening,[],[f1375]) ).
thf(f1974,plain,
( ( member_a @ y @ carrier )
= $true ),
inference(cnf_transformation,[],[f583]) ).
thf(f2017,plain,
( ( member_a @ x @ carrier )
= $true ),
inference(cnf_transformation,[],[f765]) ).
thf(f2034,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
!= $true ),
inference(cnf_transformation,[],[f1283]) ).
thf(f2035,plain,
( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
!= $true ),
inference(cnf_transformation,[],[f1283]) ).
thf(f2038,plain,
! [X0: a,X1: a] :
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ X1 @ X0 ) @ relation )
= $true )
| ( ( member_a @ X1 @ carrier )
!= $true )
| ( ( member_a @ X0 @ carrier )
!= $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ X0 @ X1 ) @ relation )
= $true ) ),
inference(cnf_transformation,[],[f1376]) ).
thf(f2385,definition,
( spl158_3
<=> ( ( member_a @ y @ carrier )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl158_3])],[avatar_definition]) ).
thf(f2387,plain,
( ( ( member_a @ y @ carrier )
= $true )
| ~ spl158_3 ),
inference(avatar_component_clause,[],[f2385]) ).
thf(f2388,plain,
spl158_3,
inference(avatar_split_clause,[],[f1974,f2385]) ).
thf(f2445,definition,
( spl158_15
<=> ( ( member_a @ x @ carrier )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl158_15])],[avatar_definition]) ).
thf(f2447,plain,
( ( ( member_a @ x @ carrier )
= $true )
| ~ spl158_15 ),
inference(avatar_component_clause,[],[f2445]) ).
thf(f2448,plain,
spl158_15,
inference(avatar_split_clause,[],[f2017,f2445]) ).
thf(f2505,definition,
( spl158_27
<=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl158_27])],[avatar_definition]) ).
thf(f2507,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
!= $true )
| spl158_27 ),
inference(avatar_component_clause,[],[f2505]) ).
thf(f2508,plain,
~ spl158_27,
inference(avatar_split_clause,[],[f2035,f2505]) ).
thf(f2510,definition,
( spl158_28
<=> ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
= $true ) ),
introduced(definition,[new_symbols(definition,[spl158_28])],[avatar_definition]) ).
thf(f2512,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ y @ x ) @ relation )
!= $true )
| spl158_28 ),
inference(avatar_component_clause,[],[f2510]) ).
thf(f2513,plain,
~ spl158_28,
inference(avatar_split_clause,[],[f2034,f2510]) ).
thf(f2637,plain,
( ( ( member_a @ x @ carrier )
!= $true )
| ( ( member_a @ y @ carrier )
!= $true )
| ( $true != $true )
| ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
= $true )
| spl158_28 ),
inference(superposition,[],[f2512,f2038]) ).
thf(f2644,plain,
( ( ( member449909584od_a_a @ ( product_Pair_a_a @ x @ y ) @ relation )
= $true )
| ( ( member_a @ x @ carrier )
!= $true )
| ( ( member_a @ y @ carrier )
!= $true )
| spl158_28 ),
inference(trivial_inequality_removal,[],[f2637]) ).
thf(f2646,plain,
( ( ( member_a @ y @ carrier )
!= $true )
| ( ( member_a @ x @ carrier )
!= $true )
| spl158_27
| spl158_28 ),
inference(forward_subsumption_resolution,[],[f2644,f2507]) ).
thf(f2648,plain,
( ( ( member_a @ x @ carrier )
!= $true )
| ~ spl158_3
| spl158_27
| spl158_28 ),
inference(forward_subsumption_resolution,[],[f2646,f2387]) ).
thf(f2651,plain,
( $false
| ~ spl158_3
| ~ spl158_15
| spl158_27
| spl158_28 ),
inference(forward_subsumption_resolution,[],[f2648,f2447]) ).
thf(f2652,plain,
( ~ spl158_3
| ~ spl158_15
| spl158_27
| spl158_28 ),
inference(avatar_contradiction_clause,[],[f2651]) ).
cnf(s3,plain,
spl158_3,
inference(sat_conversion,[],[f2388]) ).
cnf(s15,plain,
spl158_15,
inference(sat_conversion,[],[f2448]) ).
cnf(s27,plain,
~ spl158_27,
inference(sat_conversion,[],[f2508]) ).
cnf(s28,plain,
~ spl158_28,
inference(sat_conversion,[],[f2513]) ).
cnf(s49,plain,
( ~ spl158_3
| ~ spl158_15
| spl158_27
| spl158_28 ),
inference(sat_conversion,[],[f2652]) ).
cnf(s50,plain,
~ spl158_3,
inference(rat,[],[s49,s28,s27,s15]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s3,s50]) ).
thf(f2653,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP152^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 % Computer : n013.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Sep 29 20:01:36 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.25 Running higher-order theorem proving
% 0.21/0.32 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.32/0.46 % (2589868)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.32/0.46 % (2589882)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4259888076:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.32/0.46 % (2589888)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.32/0.46 % (2589888)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
% 0.32/0.46 % (2589883)lrs+10_16_si=on:nwc=1.5:random_seed=2550296349:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.32/0.46 % (2589886)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2976703934:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.32/0.46 % (2589884)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=1636124334:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.32/0.46 % (2589885)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=1617224090: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)
% 0.32/0.46 % (2589888)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=561928611:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.32/0.46 % (2589887)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=3495992435:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.32/0.46 % (2589884)Instruction limit reached!
% 0.32/0.46 % (2589884)------------------------------
% 0.32/0.46 % (2589884)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (2589884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (2589884)CaDiCaL version: 2.1.3
% 0.32/0.46 % (2589884)Termination reason: Instruction limit
% 0.32/0.46 % (2589884)Termination phase: shuffling
% 0.32/0.46 % (2589884)Time elapsed: 0.002 s
% 0.32/0.46 % (2589884)Peak memory usage: 10 MB
% 0.32/0.46 % (2589884)Instructions burned: 3 (million)
% 0.32/0.46 % (2589883)Instruction limit reached!
% 0.32/0.46 % (2589883)------------------------------
% 0.32/0.46 % (2589883)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (2589883)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (2589883)CaDiCaL version: 2.1.3
% 0.32/0.46 % (2589883)Termination reason: Instruction limit
% 0.32/0.46 % (2589883)Termination phase: shuffling
% 0.32/0.46 % (2589883)Time elapsed: 0.008 s
% 0.32/0.46 % (2589883)Peak memory usage: 10 MB
% 0.32/0.46 % (2589883)Instructions burned: 18 (million)
% 0.32/0.46 % (2589886)Instruction limit reached!
% 0.32/0.46 % (2589886)------------------------------
% 0.32/0.46 % (2589886)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (2589886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (2589886)CaDiCaL version: 2.1.3
% 0.32/0.46 % (2589886)Termination reason: Instruction limit
% 0.32/0.46 % (2589886)Termination phase: shuffling
% 0.32/0.46 % (2589886)Time elapsed: 0.010 s
% 0.32/0.46 % (2589886)Peak memory usage: 10 MB
% 0.32/0.46 % (2589886)Instructions burned: 24 (million)
% 0.32/0.46 % (2589882)Instruction limit reached!
% 0.32/0.46 % (2589882)------------------------------
% 0.32/0.46 % (2589882)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.32/0.46 % (2589882)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.32/0.46 % (2589882)CaDiCaL version: 2.1.3
% 0.32/0.46 % (2589882)Termination reason: Instruction limit
% 0.32/0.46 % (2589882)Termination phase: Property scanning
% 0.32/0.46 % (2589882)Time elapsed: 0.022 s
% 0.32/0.46 % (2589882)Peak memory usage: 12 MB
% 0.32/0.46 % (2589882)Instructions burned: 91 (million)
% 0.32/0.46 % (2589901)dis+10_1024_sil=128000:si=on:sp=unary_first:urr=on:uwa=all:fd=off:random_seed=211841586:i=2:hud=10:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.32/0.46 % (2589901)Instruction limit reached!
% 0.32/0.46 % (2589901)------------------------------
% 0.32/0.46 % (2589901)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589901)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589901)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589901)Termination reason: Instruction limit
% 0.90/0.48 % (2589901)Termination phase: shuffling
% 0.90/0.48 % (2589901)Time elapsed: 0.002 s
% 0.90/0.48 % (2589901)Peak memory usage: 10 MB
% 0.90/0.48 % (2589901)Instructions burned: 3 (million)
% 0.90/0.48 % (2589907)lrs+10_1_sil=128000:si=on:urr=on:slsqc=1:slsq=on:random_seed=2151850224:i=12:s2at=2:kws=inv_frequency:bd=all:rtra=on_2999 on theBenchmark for (2999ds/12Mi)
% 0.90/0.48 % (2589906)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(5) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.48 % (2589905)lrs+1010_2:3_cha=on:si=on:uwa=off:nwc=1:random_seed=974691435:i=5:fgj=on:av=off:rtra=on:fe=axiom:ntd=on_2999 on theBenchmark for (2999ds/5Mi)
% 0.90/0.48 % (2589907)Instruction limit reached!
% 0.90/0.48 % (2589907)------------------------------
% 0.90/0.48 % (2589907)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589907)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589907)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589907)Termination reason: Instruction limit
% 0.90/0.48 % (2589907)Termination phase: shuffling
% 0.90/0.48 % (2589907)Time elapsed: 0.003 s
% 0.90/0.48 % (2589907)Peak memory usage: 10 MB
% 0.90/0.48 % (2589907)Instructions burned: 13 (million)
% 0.90/0.48 % (2589906)dis+21_1_to=kbo:sil=128000:plsq=on:plsqc=1:cnfonf=lazy_gen:si=on:plsqr=64,1:uwa=hol:random_seed=3753623584:uwa_fpi=on:i=7:fgj=on:hud=10:fsr=off:rtra=on:rawr=on:fsdmm=5_2999 on theBenchmark for (2999ds/7Mi)
% 0.90/0.48 % (2589905)Instruction limit reached!
% 0.90/0.48 % (2589905)------------------------------
% 0.90/0.48 % (2589905)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589905)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589905)Termination reason: Instruction limit
% 0.90/0.48 % (2589905)Termination phase: shuffling
% 0.90/0.48 % (2589905)Time elapsed: 0.003 s
% 0.90/0.48 % (2589905)Peak memory usage: 10 MB
% 0.90/0.48 % (2589905)Instructions burned: 6 (million)
% 0.90/0.48 % (2589906)Instruction limit reached!
% 0.90/0.48 % (2589906)------------------------------
% 0.90/0.48 % (2589906)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589906)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589906)Termination reason: Instruction limit
% 0.90/0.48 % (2589906)Termination phase: shuffling
% 0.90/0.48 % (2589906)Time elapsed: 0.004 s
% 0.90/0.48 % (2589906)Peak memory usage: 10 MB
% 0.90/0.48 % (2589906)Instructions burned: 8 (million)
% 0.90/0.48 % (2589887)Instruction limit reached!
% 0.90/0.48 % (2589887)------------------------------
% 0.90/0.48 % (2589887)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589887)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589887)Termination reason: Instruction limit
% 0.90/0.48 % (2589887)Termination phase: Preprocessing 3
% 0.90/0.48 % (2589887)Time elapsed: 0.035 s
% 0.90/0.48 % (2589887)Peak memory usage: 12 MB
% 0.90/0.48 % (2589887)Instructions burned: 77 (million)
% 0.90/0.48 % (2589916)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=136045995:i=86:piset=equals:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/86Mi)
% 0.90/0.48 % (2589913)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.90/0.48 % (2589913)WARNING Broken Constraint: if forward_subsumption_demodulation_max_matches(1) has been set then forward_subsumption_demodulation(off) is equal to on
% 0.90/0.48 % (2589913)ott+1010_64_tgt=ground:cnfonf=lazy_simp:si=on:lma=off:spb=goal:lcm=predicate:random_seed=284144013:i=28:s2at=5:piset=not:hud=10:bd=all:av=off:rtra=on:ixr=off:fsdmm=1_2999 on theBenchmark for (2999ds/28Mi)
% 0.90/0.48 % (2589923)WARNING Broken Constraint: if positive_literal_split_queue_ratios(1,32) has been set then positive_literal_split_queue(off) is equal to on
% 0.90/0.48 % (2589920)lrs+10_1_si=on:cs=on:random_seed=2682597885:i=8:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/8Mi)
% 0.90/0.48 % (2589923)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=1331325841:i=2:add=on:rtra=on_2999 on theBenchmark for (2999ds/2Mi)
% 0.90/0.48 % (2589920)Instruction limit reached!
% 0.90/0.48 % (2589920)------------------------------
% 0.90/0.48 % (2589920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589920)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589920)Termination reason: Instruction limit
% 0.90/0.48 % (2589920)Termination phase: shuffling
% 0.90/0.48 % (2589920)Time elapsed: 0.004 s
% 0.90/0.48 % (2589920)Peak memory usage: 10 MB
% 0.90/0.48 % (2589920)Instructions burned: 8 (million)
% 0.90/0.48 % (2589924)lrs+1002_3:1_sil=128000:e2e=on:si=on:urr=on:uwa=one_side_constant:nwc=1.5:random_seed=112674139:i=38:bd=all:rtra=on:amm=off:ss=axioms:ntd=on_2999 on theBenchmark for (2999ds/38Mi)
% 0.90/0.48 % (2589923)Instruction limit reached!
% 0.90/0.48 % (2589923)------------------------------
% 0.90/0.48 % (2589923)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589923)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589923)Termination reason: Instruction limit
% 0.90/0.48 % (2589923)Termination phase: shuffling
% 0.90/0.48 % (2589923)Time elapsed: 0.003 s
% 0.90/0.48 % (2589923)Peak memory usage: 10 MB
% 0.90/0.48 % (2589923)Instructions burned: 7 (million)
% 0.90/0.48 % (2589913)Instruction limit reached!
% 0.90/0.48 % (2589913)------------------------------
% 0.90/0.48 % (2589913)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589913)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589913)Termination reason: Instruction limit
% 0.90/0.48 % (2589913)Termination phase: shuffling
% 0.90/0.48 % (2589913)Time elapsed: 0.013 s
% 0.90/0.48 % (2589913)Peak memory usage: 11 MB
% 0.90/0.48 % (2589913)Instructions burned: 29 (million)
% 0.90/0.48 % (2589916)Instruction limit reached!
% 0.90/0.48 % (2589916)------------------------------
% 0.90/0.48 % (2589916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589916)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589916)Termination reason: Instruction limit
% 0.90/0.48 % (2589916)Termination phase: Property scanning
% 0.90/0.48 % (2589916)Time elapsed: 0.020 s
% 0.90/0.48 % (2589916)Peak memory usage: 11 MB
% 0.90/0.48 % (2589916)Instructions burned: 89 (million)
% 0.90/0.48 % (2589888)Instruction limit reached!
% 0.90/0.48 % (2589888)------------------------------
% 0.90/0.48 % (2589888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589888)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589888)Termination reason: Instruction limit
% 0.90/0.48 % (2589888)Termination phase: Saturation
% 0.90/0.48 % (2589888)Time elapsed: 0.067 s
% 0.90/0.48 % (2589888)Peak memory usage: 13 MB
% 0.90/0.48 % (2589888)Instructions burned: 158 (million)
% 0.90/0.48 % (2589940)dis+1010_1_sil=128000:si=on:uwa=off:random_seed=726818076:st=3:s2a=on:i=327:sd=3:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/327Mi)
% 0.90/0.48 % (2589924)Instruction limit reached!
% 0.90/0.48 % (2589924)------------------------------
% 0.90/0.48 % (2589924)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589924)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589924)Termination reason: Instruction limit
% 0.90/0.48 % (2589924)Termination phase: Property scanning
% 0.90/0.48 % (2589924)Time elapsed: 0.016 s
% 0.90/0.48 % (2589924)Peak memory usage: 11 MB
% 0.90/0.48 % (2589924)Instructions burned: 39 (million)
% 0.90/0.48 % (2589936)lrs+1002_1_to=lpo:sil=128000:si=on:sos=on:spb=goal_then_units:uwa=off:random_seed=3913019539:st=2:i=249:sd=1:rtra=on:ss=axioms_2998 on theBenchmark for (2998ds/249Mi)
% 0.90/0.48 % (2589937)dis+1002_1_sil=128000:fde=unused:e2e=on:si=on:cbe=off:uwa=off:random_seed=2371590315:hsq=on:st=2:i=25:kws=inv_frequency:rtra=on:ss=axioms:ntd=on_2998 on theBenchmark for (2998ds/25Mi)
% 0.90/0.48 % (2589938)lrs+10_16:1_sil=128000:si=on:lma=off:urr=on:uwa=interpreted_only:random_seed=330699939:i=14:kws=precedence:aac=none:nm=10:rtra=on:er=filter:ntd=on_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.48 % (2589938)Instruction limit reached!
% 0.90/0.48 % (2589938)------------------------------
% 0.90/0.48 % (2589938)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589938)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589938)Termination reason: Instruction limit
% 0.90/0.48 % (2589938)Termination phase: shuffling
% 0.90/0.48 % (2589938)Time elapsed: 0.007 s
% 0.90/0.48 % (2589938)Peak memory usage: 10 MB
% 0.90/0.48 % (2589938)Instructions burned: 16 (million)
% 0.90/0.48 % (2589943)dis+10_1_anc=all_dependent:to=kbo:sil=128000:si=on:chr=on:random_seed=1647521220:uwa_fpi=on:i=14:aac=none:rtra=on:fe=abstraction_2998 on theBenchmark for (2998ds/14Mi)
% 0.90/0.48 % (2589937)Instruction limit reached!
% 0.90/0.48 % (2589937)------------------------------
% 0.90/0.48 % (2589937)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589937)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589937)Termination reason: Instruction limit
% 0.90/0.48 % (2589937)Termination phase: shuffling
% 0.90/0.48 % (2589937)Time elapsed: 0.012 s
% 0.90/0.48 % (2589937)Peak memory usage: 11 MB
% 0.90/0.48 % (2589937)Instructions burned: 27 (million)
% 0.90/0.48 % (2589885) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2589868-2589885"...
% 0.90/0.48 % (2589885)...printing done.
% 0.90/0.48 % (2589950)ott+21_20_to=lpo:sil=128000:tgt=ground:si=on:sp=arity:lma=off:uwa=off:foolp=on:random_seed=2822292409: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)
% 0.90/0.48 % (2589943)Instruction limit reached!
% 0.90/0.48 % (2589943)------------------------------
% 0.90/0.48 % (2589943)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589943)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589943)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589943)Termination reason: Instruction limit
% 0.90/0.48 % (2589943)Termination phase: shuffling
% 0.90/0.48 % (2589943)Time elapsed: 0.007 s
% 0.90/0.48 % (2589943)Peak memory usage: 11 MB
% 0.90/0.48 % (2589943)Instructions burned: 16 (million)
% 0.90/0.48 % (2589885)Refutation found. Thanks to Tanya!
% 0.90/0.48 % SZS status Theorem for theBenchmark
% 0.90/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.90/0.48 % (2589885)------------------------------
% 0.90/0.48 % (2589885)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.90/0.48 % (2589885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.90/0.48 % (2589885)CaDiCaL version: 2.1.3
% 0.90/0.48 % (2589885)Termination reason: Refutation
% 0.90/0.48 % (2589885)Time elapsed: 0.093 s
% 0.90/0.48 % (2589885)Peak memory usage: 15 MB
% 0.90/0.48 % (2589885)Instructions burned: 197 (million)
% 0.90/0.48 % (2589868)Success in time 0.148 s
% 0.90/0.48 % Vampire exiting
%------------------------------------------------------------------------------