%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW473_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Tue Sep 29 01:30:29 PM UTC 2026
% Result : Theorem 0.66s 0.98s
% Output : Refutation 2.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 29 ( 15 unt; 0 typ; 0 def)
% Number of atoms : 47 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 22 ~; 14 |; 0 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 91 ( 90 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 224 ( 224 usr; 53 con; 0-3 aty)
% Number of variables : 38 ( 38 !; 0 ?; 38 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
x_a: $tType ).
tff(type_def_6,type,
pname: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
nat: $tType ).
tff(type_def_9,type,
fun_a_a: $tType ).
tff(type_def_10,type,
fun_a_pname: $tType ).
tff(type_def_11,type,
fun_a_bool: $tType ).
tff(type_def_12,type,
fun_a_nat: $tType ).
tff(type_def_13,type,
fun_a_fun_a_bool: $tType ).
tff(type_def_14,type,
fun_a_fun_pname_bool: $tType ).
tff(type_def_15,type,
fun_a_fun_bool_bool: $tType ).
tff(type_def_16,type,
fun_a_1255737515l_bool: $tType ).
tff(type_def_17,type,
fun_pname_a: $tType ).
tff(type_def_18,type,
fun_pname_pname: $tType ).
tff(type_def_19,type,
fun_pname_bool: $tType ).
tff(type_def_20,type,
fun_pname_nat: $tType ).
tff(type_def_21,type,
fun_pname_fun_a_bool: $tType ).
tff(type_def_22,type,
fun_pn800050071e_bool: $tType ).
tff(type_def_23,type,
fun_pn250273176l_bool: $tType ).
tff(type_def_24,type,
fun_pn406123357t_bool: $tType ).
tff(type_def_25,type,
fun_pn1038293468l_bool: $tType ).
tff(type_def_26,type,
fun_pn422929397l_bool: $tType ).
tff(type_def_27,type,
fun_pn1165013435l_bool: $tType ).
tff(type_def_28,type,
fun_bool_bool: $tType ).
tff(type_def_29,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_30,type,
fun_nat_a: $tType ).
tff(type_def_31,type,
fun_nat_pname: $tType ).
tff(type_def_32,type,
fun_nat_bool: $tType ).
tff(type_def_33,type,
fun_nat_nat: $tType ).
tff(type_def_34,type,
fun_nat_fun_a_bool: $tType ).
tff(type_def_35,type,
fun_na936072029e_bool: $tType ).
tff(type_def_36,type,
fun_na1469252690l_bool: $tType ).
tff(type_def_37,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_38,type,
fun_na1632405922l_bool: $tType ).
tff(type_def_39,type,
fun_na2122364079l_bool: $tType ).
tff(type_def_40,type,
fun_na1436237685l_bool: $tType ).
tff(type_def_41,type,
fun_fun_a_bool_a: $tType ).
tff(type_def_42,type,
fun_fun_a_bool_pname: $tType ).
tff(type_def_43,type,
fun_fun_a_bool_bool: $tType ).
tff(type_def_44,type,
fun_fun_a_bool_nat: $tType ).
tff(type_def_45,type,
fun_fu1731003005a_bool: $tType ).
tff(type_def_46,type,
fun_fu554186387l_bool: $tType ).
tff(type_def_47,type,
fun_fu1471507361l_bool: $tType ).
tff(type_def_48,type,
fun_fu386216885l_bool: $tType ).
tff(type_def_49,type,
fun_fun_pname_bool_a: $tType ).
tff(type_def_50,type,
fun_fu1499449723_pname: $tType ).
tff(type_def_51,type,
fun_fu1430349052l_bool: $tType ).
tff(type_def_52,type,
fun_fu1668467777ol_nat: $tType ).
tff(type_def_53,type,
fun_fu410713561e_bool: $tType ).
tff(type_def_54,type,
fun_fu31783638l_bool: $tType ).
tff(type_def_55,type,
fun_fu802393907l_bool: $tType ).
tff(type_def_56,type,
fun_fu931343505l_bool: $tType ).
tff(type_def_57,type,
fun_fun_nat_bool_a: $tType ).
tff(type_def_58,type,
fun_fu665170229_pname: $tType ).
tff(type_def_59,type,
fun_fu425979586l_bool: $tType ).
tff(type_def_60,type,
fun_fun_nat_bool_nat: $tType ).
tff(type_def_61,type,
fun_fu1016514960l_bool: $tType ).
tff(type_def_62,type,
fun_fu821463397t_bool: $tType ).
tff(type_def_63,type,
fun_fu1217155507l_bool: $tType ).
tff(type_def_64,type,
fun_fu1436348701l_bool: $tType ).
tff(type_def_65,type,
fun_fu1373417771bool_a: $tType ).
tff(type_def_66,type,
fun_fu1175941238_pname: $tType ).
tff(type_def_67,type,
fun_fu885608257l_bool: $tType ).
tff(type_def_68,type,
fun_fu2020802748ol_nat: $tType ).
tff(type_def_69,type,
fun_fu911136611l_bool: $tType ).
tff(type_def_70,type,
fun_fu418465139l_bool: $tType ).
tff(type_def_71,type,
fun_fu2061654492bool_a: $tType ).
tff(type_def_72,type,
fun_fu1664106117_pname: $tType ).
tff(type_def_73,type,
fun_fu399576434l_bool: $tType ).
tff(type_def_74,type,
fun_fu1730389579ol_nat: $tType ).
tff(type_def_75,type,
fun_fu2087345469l_bool: $tType ).
tff(type_def_76,type,
fun_fu1911931399l_bool: $tType ).
tff(type_def_77,type,
fun_fu897950882bool_a: $tType ).
tff(type_def_78,type,
fun_fu881587263_pname: $tType ).
tff(type_def_79,type,
fun_fu814369080l_bool: $tType ).
tff(type_def_80,type,
fun_fu411113733ol_nat: $tType ).
tff(type_def_81,type,
fun_fu616551101l_bool: $tType ).
tff(type_def_82,type,
fun_fu140186515l_bool: $tType ).
tff(type_def_83,type,
fun_fu255076663l_bool: $tType ).
tff(type_def_84,type,
fun_fu48515398ol_nat: $tType ).
tff(type_def_85,type,
fun_fu821736593l_bool: $tType ).
tff(type_def_86,type,
fun_fu1438281908l_bool: $tType ).
tff(type_def_87,type,
fun_fu1701008009ol_nat: $tType ).
tff(type_def_88,type,
fun_fu1086940979l_bool: $tType ).
tff(type_def_89,type,
fun_fu61768826l_bool: $tType ).
tff(type_def_90,type,
fun_fu1297083715ol_nat: $tType ).
tff(type_def_91,type,
fun_fu1137991347l_bool: $tType ).
tff(type_def_92,type,
fun_fu754241017l_bool: $tType ).
tff(type_def_93,type,
fun_fu2065874474l_bool: $tType ).
tff(type_def_94,type,
fun_fu1971389424l_bool: $tType ).
tff(func_def_0,type,
cOMBB_1897541054_pname: ( fun_a_fun_a_bool * fun_pname_a ) > fun_pname_fun_a_bool ).
tff(func_def_1,type,
cOMBB_bool_bool_a: ( fun_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_2,type,
cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_3,type,
cOMBB_bool_bool_nat: ( fun_bool_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_4,type,
cOMBB_2140588453a_bool: ( fun_bool_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_5,type,
cOMBB_307249310e_bool: ( fun_bool_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_6,type,
cOMBB_238756964t_bool: ( fun_bool_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_7,type,
cOMBB_1972296269bool_a: ( fun_bo1549164019l_bool * fun_a_bool ) > fun_a_fun_bool_bool ).
tff(func_def_8,type,
cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).
tff(func_def_9,type,
cOMBB_1015721476ol_nat: ( fun_bo1549164019l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).
tff(func_def_10,type,
cOMBB_338059395a_bool: ( fun_bo1549164019l_bool * fun_fun_a_bool_bool ) > fun_fu554186387l_bool ).
tff(func_def_11,type,
cOMBB_2095475776e_bool: ( fun_bo1549164019l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).
tff(func_def_12,type,
cOMBB_444170502t_bool: ( fun_bo1549164019l_bool * fun_fu425979586l_bool ) > fun_fu1016514960l_bool ).
tff(func_def_13,type,
cOMBC_a_a_bool: fun_a_fun_a_bool > fun_a_fun_a_bool ).
tff(func_def_14,type,
cOMBC_1355376034l_bool: fun_a_1255737515l_bool > fun_fu1731003005a_bool ).
tff(func_def_15,type,
cOMBC_pname_a_bool: fun_pname_fun_a_bool > fun_a_fun_pname_bool ).
tff(func_def_16,type,
cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).
tff(func_def_17,type,
cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).
tff(func_def_18,type,
cOMBC_nat_nat_bool: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_19,type,
cOMBC_226598744l_bool: fun_na1436237685l_bool > fun_fu821463397t_bool ).
tff(func_def_20,type,
cOMBC_1732670874l_bool: fun_fu1471507361l_bool > fun_fu1471507361l_bool ).
tff(func_def_21,type,
cOMBC_1880041174l_bool: fun_fu386216885l_bool > fun_fu911136611l_bool ).
tff(func_def_22,type,
cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).
tff(func_def_23,type,
cOMBC_1988546018l_bool: fun_fu931343505l_bool > fun_fu2087345469l_bool ).
tff(func_def_24,type,
cOMBC_1693257480l_bool: fun_fu1217155507l_bool > fun_fu1217155507l_bool ).
tff(func_def_25,type,
cOMBC_1245412066l_bool: fun_fu1436348701l_bool > fun_fu616551101l_bool ).
tff(func_def_26,type,
cOMBC_331553030l_bool: fun_fu418465139l_bool > fun_fu418465139l_bool ).
tff(func_def_27,type,
cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).
tff(func_def_28,type,
cOMBC_595898202l_bool: fun_fu140186515l_bool > fun_fu140186515l_bool ).
tff(func_def_29,type,
cOMBC_636888218l_bool: fun_fu821736593l_bool > fun_fu821736593l_bool ).
tff(func_def_30,type,
cOMBC_336095980l_bool: fun_fu1086940979l_bool > fun_fu1086940979l_bool ).
tff(func_def_31,type,
cOMBC_1269652216l_bool: fun_fu1137991347l_bool > fun_fu1137991347l_bool ).
tff(func_def_32,type,
cOMBS_a_bool_bool: ( fun_a_fun_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_33,type,
cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_34,type,
cOMBS_nat_bool_bool: ( fun_na1469252690l_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_35,type,
cOMBS_1035972772l_bool: ( fun_fu554186387l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_36,type,
cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_37,type,
cOMBS_1187019125l_bool: ( fun_fu1016514960l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_38,type,
finite_card_a: fun_fun_a_bool_nat ).
tff(func_def_39,type,
finite_card_pname: fun_fu1668467777ol_nat ).
tff(func_def_40,type,
finite_card_nat: fun_fun_nat_bool_nat ).
tff(func_def_41,type,
finite1306199131a_bool: fun_fu2020802748ol_nat ).
tff(func_def_42,type,
finite1340463720e_bool: fun_fu1730389579ol_nat ).
tff(func_def_43,type,
finite346522414t_bool: fun_fu411113733ol_nat ).
tff(func_def_44,type,
finite1659325229l_bool: fun_fu48515398ol_nat ).
tff(func_def_45,type,
finite269641166l_bool: fun_fu1701008009ol_nat ).
tff(func_def_46,type,
finite1352710292l_bool: fun_fu1297083715ol_nat ).
tff(func_def_47,type,
finite_finite_a: fun_fun_a_bool_bool ).
tff(func_def_48,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(func_def_49,type,
finite_finite_nat: fun_fu425979586l_bool ).
tff(func_def_50,type,
finite347923420a_bool: fun_fu885608257l_bool ).
tff(func_def_51,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(func_def_52,type,
finite2012431853t_bool: fun_fu814369080l_bool ).
tff(func_def_53,type,
finite1381704300l_bool: fun_fu255076663l_bool ).
tff(func_def_54,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(func_def_55,type,
finite1701474069l_bool: fun_fu61768826l_bool ).
tff(func_def_56,type,
finite1343359508l_bool: fun_fu754241017l_bool ).
tff(func_def_57,type,
finite1491191519l_bool: fun_fu2065874474l_bool ).
tff(func_def_58,type,
finite719726885l_bool: fun_fu1971389424l_bool ).
tff(func_def_59,type,
minus_minus_nat: nat > fun_nat_nat ).
tff(func_def_60,type,
suc: fun_nat_nat ).
tff(func_def_61,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_62,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
tff(func_def_63,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(func_def_64,type,
ord_le1568362934t_bool: fun_fu1217155507l_bool ).
tff(func_def_65,type,
ord_le1375614389l_bool: fun_fu418465139l_bool ).
tff(func_def_66,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(func_def_67,type,
ord_le1454342156l_bool: fun_fu140186515l_bool ).
tff(func_def_68,type,
ord_le967226251l_bool: fun_fu821736593l_bool ).
tff(func_def_69,type,
ord_le1375671464l_bool: fun_fu1086940979l_bool ).
tff(func_def_70,type,
ord_le65145710l_bool: fun_fu1137991347l_bool ).
tff(func_def_71,type,
collect_a: fun_a_bool > fun_a_bool ).
tff(func_def_72,type,
collect_pname: fun_pname_bool > fun_pname_bool ).
tff(func_def_73,type,
collect_nat: fun_nat_bool > fun_nat_bool ).
tff(func_def_74,type,
collect_fun_a_bool: fun_fun_a_bool_bool > fun_fun_a_bool_bool ).
tff(func_def_75,type,
collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).
tff(func_def_76,type,
collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).
tff(func_def_77,type,
collec707592106l_bool: fun_fu885608257l_bool > fun_fu885608257l_bool ).
tff(func_def_78,type,
collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).
tff(func_def_79,type,
collec1015864663l_bool: fun_fu814369080l_bool > fun_fu814369080l_bool ).
tff(func_def_80,type,
collec1635217238l_bool: fun_fu255076663l_bool > fun_fu255076663l_bool ).
tff(func_def_81,type,
collec792590109l_bool: fun_fu1438281908l_bool > fun_fu1438281908l_bool ).
tff(func_def_82,type,
collec1874991203l_bool: fun_fu61768826l_bool > fun_fu61768826l_bool ).
tff(func_def_83,type,
image_a_a: ( fun_a_a * fun_a_bool ) > fun_a_bool ).
tff(func_def_84,type,
image_a_pname: ( fun_a_pname * fun_a_bool ) > fun_pname_bool ).
tff(func_def_85,type,
image_a_nat: ( fun_a_nat * fun_a_bool ) > fun_nat_bool ).
tff(func_def_86,type,
image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).
tff(func_def_87,type,
image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_88,type,
image_pname_nat: ( fun_pname_nat * fun_pname_bool ) > fun_nat_bool ).
tff(func_def_89,type,
image_112932426a_bool: ( fun_pname_fun_a_bool * fun_pname_bool ) > fun_fun_a_bool_bool ).
tff(func_def_90,type,
image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_91,type,
image_2129980159t_bool: ( fun_pn406123357t_bool * fun_pname_bool ) > fun_fu425979586l_bool ).
tff(func_def_92,type,
image_1420695166l_bool: ( fun_pn1038293468l_bool * fun_pname_bool ) > fun_fu885608257l_bool ).
tff(func_def_93,type,
image_1642285373l_bool: ( fun_pn422929397l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_94,type,
image_1154884483l_bool: ( fun_pn1165013435l_bool * fun_pname_bool ) > fun_fu814369080l_bool ).
tff(func_def_95,type,
image_nat_a: ( fun_nat_a * fun_nat_bool ) > fun_a_bool ).
tff(func_def_96,type,
image_nat_pname: ( fun_nat_pname * fun_nat_bool ) > fun_pname_bool ).
tff(func_def_97,type,
image_nat_fun_a_bool: ( fun_nat_fun_a_bool * fun_nat_bool ) > fun_fun_a_bool_bool ).
tff(func_def_98,type,
image_1655916159e_bool: ( fun_na936072029e_bool * fun_nat_bool ) > fun_fu1430349052l_bool ).
tff(func_def_99,type,
image_26036933t_bool: ( fun_nat_fun_nat_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_100,type,
image_1208015684l_bool: ( fun_na1632405922l_bool * fun_nat_bool ) > fun_fu885608257l_bool ).
tff(func_def_101,type,
image_1874789623l_bool: ( fun_na2122364079l_bool * fun_nat_bool ) > fun_fu399576434l_bool ).
tff(func_def_102,type,
image_1607900221l_bool: ( fun_na1436237685l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).
tff(func_def_103,type,
image_fun_a_bool_a: ( fun_fun_a_bool_a * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_104,type,
image_1854862208_pname: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_pname_bool ).
tff(func_def_105,type,
image_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_nat_bool ).
tff(func_def_106,type,
image_876012084bool_a: ( fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > fun_a_bool ).
tff(func_def_107,type,
image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_108,type,
image_1551609309ol_nat: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_nat_bool ).
tff(func_def_109,type,
image_fun_nat_bool_a: ( fun_fun_nat_bool_a * fun_fu425979586l_bool ) > fun_a_bool ).
tff(func_def_110,type,
image_1921560913_pname: ( fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_pname_bool ).
tff(func_def_111,type,
image_496248727ol_nat: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_112,type,
image_573985017bool_a: ( fun_fu1373417771bool_a * fun_fu885608257l_bool ) > fun_a_bool ).
tff(func_def_113,type,
image_990671762_pname: ( fun_fu1175941238_pname * fun_fu885608257l_bool ) > fun_pname_bool ).
tff(func_def_114,type,
image_1802975832ol_nat: ( fun_fu2020802748ol_nat * fun_fu885608257l_bool ) > fun_nat_bool ).
tff(func_def_115,type,
image_349102846bool_a: ( fun_fu2061654492bool_a * fun_fu399576434l_bool ) > fun_a_bool ).
tff(func_def_116,type,
image_1705983821_pname: ( fun_fu1664106117_pname * fun_fu399576434l_bool ) > fun_pname_bool ).
tff(func_def_117,type,
image_1079571347ol_nat: ( fun_fu1730389579ol_nat * fun_fu399576434l_bool ) > fun_nat_bool ).
tff(func_def_118,type,
image_526090948bool_a: ( fun_fu897950882bool_a * fun_fu814369080l_bool ) > fun_a_bool ).
tff(func_def_119,type,
image_1604018183_pname: ( fun_fu881587263_pname * fun_fu814369080l_bool ) > fun_pname_bool ).
tff(func_def_120,type,
image_2089570637ol_nat: ( fun_fu411113733ol_nat * fun_fu814369080l_bool ) > fun_nat_bool ).
tff(func_def_121,type,
insert_a: ( x_a * fun_a_bool ) > fun_a_bool ).
tff(func_def_122,type,
insert_pname: ( pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_123,type,
insert_nat: ( nat * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_124,type,
insert_fun_a_bool: ( fun_a_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_125,type,
insert1325755072e_bool: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_126,type,
insert_fun_nat_bool: ( fun_nat_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_127,type,
insert1457093509l_bool: ( fun_fun_a_bool_bool * fun_fu885608257l_bool ) > fun_fu885608257l_bool ).
tff(func_def_128,type,
insert1117693814l_bool: ( fun_fu1430349052l_bool * fun_fu399576434l_bool ) > fun_fu399576434l_bool ).
tff(func_def_129,type,
insert2003652156l_bool: ( fun_fu425979586l_bool * fun_fu814369080l_bool ) > fun_fu814369080l_bool ).
tff(func_def_130,type,
fNot: fun_bool_bool ).
tff(func_def_131,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_132,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_133,type,
fequal_a: fun_a_fun_a_bool ).
tff(func_def_134,type,
fequal_pname: fun_pn800050071e_bool ).
tff(func_def_135,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_136,type,
fequal_fun_a_bool: fun_fu1471507361l_bool ).
tff(func_def_137,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(func_def_138,type,
fequal_fun_nat_bool: fun_fu1217155507l_bool ).
tff(func_def_139,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_140,type,
hAPP_a_bool: ( fun_a_bool * x_a ) > bool ).
tff(func_def_141,type,
hAPP_a_fun_a_bool: ( fun_a_fun_a_bool * x_a ) > fun_a_bool ).
tff(func_def_142,type,
hAPP_a93125764e_bool: ( fun_a_fun_pname_bool * x_a ) > fun_pname_bool ).
tff(func_def_143,type,
hAPP_a_fun_bool_bool: ( fun_a_fun_bool_bool * x_a ) > fun_bool_bool ).
tff(func_def_144,type,
hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).
tff(func_def_145,type,
hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).
tff(func_def_146,type,
hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).
tff(func_def_147,type,
hAPP_p1534023578a_bool: ( fun_pname_fun_a_bool * pname ) > fun_a_bool ).
tff(func_def_148,type,
hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).
tff(func_def_149,type,
hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).
tff(func_def_150,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(func_def_151,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_152,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_153,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_154,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_155,type,
hAPP_nat_fun_a_bool: ( fun_nat_fun_a_bool * nat ) > fun_a_bool ).
tff(func_def_156,type,
hAPP_n1025906991e_bool: ( fun_na936072029e_bool * nat ) > fun_pname_bool ).
tff(func_def_157,type,
hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).
tff(func_def_158,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_159,type,
hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).
tff(func_def_160,type,
hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).
tff(func_def_161,type,
hAPP_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_a_bool ) > nat ).
tff(func_def_162,type,
hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_163,type,
hAPP_f198738859l_bool: ( fun_fu554186387l_bool * fun_a_bool ) > fun_bool_bool ).
tff(func_def_164,type,
hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_165,type,
hAPP_f285962445l_bool: ( fun_fu386216885l_bool * fun_a_bool ) > fun_fu885608257l_bool ).
tff(func_def_166,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(func_def_167,type,
hAPP_f921600141ol_nat: ( fun_fu1668467777ol_nat * fun_pname_bool ) > nat ).
tff(func_def_168,type,
hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_169,type,
hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).
tff(func_def_170,type,
hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_171,type,
hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_172,type,
hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).
tff(func_def_173,type,
hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).
tff(func_def_174,type,
hAPP_f1748468828l_bool: ( fun_fu1016514960l_bool * fun_nat_bool ) > fun_bool_bool ).
tff(func_def_175,type,
hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_176,type,
hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_177,type,
hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).
tff(func_def_178,type,
hAPP_f621171935l_bool: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > bool ).
tff(func_def_179,type,
hAPP_f2009550088ol_nat: ( fun_fu2020802748ol_nat * fun_fun_a_bool_bool ) > nat ).
tff(func_def_180,type,
hAPP_f2117159681l_bool: ( fun_fu911136611l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_181,type,
hAPP_f1434722111l_bool: ( fun_fu418465139l_bool * fun_fun_a_bool_bool ) > fun_fu885608257l_bool ).
tff(func_def_182,type,
hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).
tff(func_def_183,type,
hAPP_f55526627ol_nat: ( fun_fu1730389579ol_nat * fun_fu1430349052l_bool ) > nat ).
tff(func_def_184,type,
hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_185,type,
hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(func_def_186,type,
hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).
tff(func_def_187,type,
hAPP_f696928925ol_nat: ( fun_fu411113733ol_nat * fun_fu425979586l_bool ) > nat ).
tff(func_def_188,type,
hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_189,type,
hAPP_f1772781669l_bool: ( fun_fu140186515l_bool * fun_fu425979586l_bool ) > fun_fu814369080l_bool ).
tff(func_def_190,type,
hAPP_f292226953l_bool: ( fun_fu255076663l_bool * fun_fu885608257l_bool ) > bool ).
tff(func_def_191,type,
hAPP_f1253658590ol_nat: ( fun_fu48515398ol_nat * fun_fu885608257l_bool ) > nat ).
tff(func_def_192,type,
hAPP_f1050622307l_bool: ( fun_fu821736593l_bool * fun_fu885608257l_bool ) > fun_fu255076663l_bool ).
tff(func_def_193,type,
hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).
tff(func_def_194,type,
hAPP_f98387925ol_nat: ( fun_fu1701008009ol_nat * fun_fu399576434l_bool ) > nat ).
tff(func_def_195,type,
hAPP_f1759205631l_bool: ( fun_fu1086940979l_bool * fun_fu399576434l_bool ) > fun_fu1438281908l_bool ).
tff(func_def_196,type,
hAPP_f937997336l_bool: ( fun_fu61768826l_bool * fun_fu814369080l_bool ) > bool ).
tff(func_def_197,type,
hAPP_f1690079119ol_nat: ( fun_fu1297083715ol_nat * fun_fu814369080l_bool ) > nat ).
tff(func_def_198,type,
hAPP_f760187903l_bool: ( fun_fu1137991347l_bool * fun_fu814369080l_bool ) > fun_fu61768826l_bool ).
tff(func_def_199,type,
hAPP_f1363661463l_bool: ( fun_fu754241017l_bool * fun_fu255076663l_bool ) > bool ).
tff(func_def_200,type,
hAPP_f595608956l_bool: ( fun_fu2065874474l_bool * fun_fu1438281908l_bool ) > bool ).
tff(func_def_201,type,
hAPP_f1295398978l_bool: ( fun_fu1971389424l_bool * fun_fu61768826l_bool ) > bool ).
tff(func_def_202,type,
member_a: fun_a_1255737515l_bool ).
tff(func_def_203,type,
member_pname: fun_pn422929397l_bool ).
tff(func_def_204,type,
member_nat: fun_na1436237685l_bool ).
tff(func_def_205,type,
member_fun_a_bool: fun_fu386216885l_bool ).
tff(func_def_206,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(func_def_207,type,
member_fun_nat_bool: fun_fu1436348701l_bool ).
tff(func_def_208,type,
g: fun_a_bool ).
tff(func_def_209,type,
p: fun_a_bool > fun_fun_a_bool_bool ).
tff(func_def_210,type,
u: fun_pname_bool ).
tff(func_def_211,type,
mgt_call: fun_pname_a ).
tff(func_def_212,type,
na: nat ).
tff(func_def_213,type,
pn: pname ).
tff(func_def_214,type,
sK0: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_215,type,
sK1: ( fun_pname_a * fun_pname_bool * fun_a_bool ) > fun_pname_bool ).
tff(func_def_216,type,
sK2: nat > nat ).
tff(func_def_217,type,
sK3: fun_nat_nat > nat ).
tff(func_def_218,type,
sK4: fun_nat_bool > nat ).
tff(func_def_219,type,
sK5: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_220,type,
sK6: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_221,type,
sK7: ( fun_pname_a * fun_a_bool * fun_pname_bool ) > pname ).
tff(func_def_222,type,
sK8: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_223,type,
sK9: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(f224,axiom,
! [X0: pname,X1: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
=> ( insert_pname(X0,X1) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_223_insert__absorb) ).
tff(f249,axiom,
! [X0: fun_a_bool,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_248_subset__trans) ).
tff(f284,axiom,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_283_insert__mono) ).
tff(f285,axiom,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] : ( image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_284_image__insert) ).
tff(f299,axiom,
! [X0: fun_a_bool] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_298_order__refl) ).
tff(f363,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
tff(f366,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
tff(f368,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_6) ).
tff(f369,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(negated_conjecture,[status(cth)],[f368]) ).
tff(f370,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(flattening,[],[f369]) ).
tff(f372,plain,
! [X0: fun_a_bool,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(ennf_transformation,[],[f249]) ).
tff(f373,plain,
! [X0: fun_a_bool,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(flattening,[],[f372]) ).
tff(f451,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(ennf_transformation,[],[f284]) ).
tff(f472,plain,
! [X0: pname,X1: fun_pname_bool] :
( ( insert_pname(X0,X1) = X1 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1)) ),
inference(ennf_transformation,[],[f224]) ).
tff(f520,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f363]) ).
tff(f523,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f366]) ).
tff(f525,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f370]) ).
tff(f526,plain,
! [X0: fun_a_bool] : hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),X0)),
inference(cnf_transformation,[],[f299]) ).
tff(f529,plain,
! [X2: fun_a_bool,X0: fun_a_bool,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f373]) ).
tff(f624,plain,
! [X2: fun_pname_bool,X0: fun_pname_a,X1: pname] : ( image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) ),
inference(cnf_transformation,[],[f285]) ).
tff(f631,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f451]) ).
tff(f662,plain,
! [X0: pname,X1: fun_pname_bool] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0),X1))
| ( insert_pname(X0,X1) = X1 ) ),
inference(cnf_transformation,[],[f472]) ).
tff(f744,plain,
u = insert_pname(pn,u),
inference(resolution,[],[f662,f523]) ).
tff(f1729,plain,
! [X0: fun_a_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),X0))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0),image_pname_a(mgt_call,u))) ),
inference(resolution,[],[f529,f525]) ).
tff(f1739,plain,
! [X0: fun_a_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),X0)),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),X0)) ),
inference(resolution,[],[f1729,f631]) ).
tff(f1852,plain,
! [X0: fun_pname_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,insert_pname(pn,X0))),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,X0))) ),
inference(superposition,[],[f1739,f624]) ).
tff(f1972,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,image_pname_a(mgt_call,u)),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
inference(superposition,[],[f1852,f744]) ).
tff(f1980,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(forward_subsumption_resolution,[],[f1972,f526]) ).
tff(f1981,plain,
$false,
inference(forward_subsumption_resolution,[],[f1980,f520]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n017.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 14:01:36 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.66/0.98 % (3567589)Detected formulas, will run a generic FOF schedule.
% 0.66/0.98 % (3567598)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3872502799:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.66/0.98 % (3567598)First to succeed.
% 0.66/0.98 % (3567598)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3567589"
% 0.66/0.98 % (3567597)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1335524924:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.66/0.98 % (3567594)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=554820023:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.66/0.98 % (3567595)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=1747240395:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.66/0.98 % (3567599)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2757641743:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.66/0.98 % (3567596)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=536371306:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.66/0.98 % (3567597)Also succeeded, but the first one will report.
% 0.66/0.98 % (3567600)dis-21_1_sil=8000:lcm=predicate:random_seed=1085137951:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 0.66/0.98 % (3567599)Instruction limit reached!
% 0.66/0.98 % (3567599)------------------------------
% 0.66/0.98 % (3567599)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.98 % (3567599)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.98 % (3567599)CaDiCaL version: 2.1.3
% 0.66/0.98 % (3567599)Termination reason: Instruction limit
% 0.66/0.98 % (3567599)Termination phase: Saturation
% 0.66/0.98 % (3567599)Time elapsed: 0.086 s
% 0.66/0.98 % (3567599)Peak memory usage: 90 MB
% 0.66/0.98 % (3567599)Instructions burned: 139 (million)
% 0.66/0.98 % (3567600)Instruction limit reached!
% 0.66/0.98 % (3567600)------------------------------
% 0.66/0.98 % (3567600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.66/0.98 % (3567600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.66/0.98 % (3567600)CaDiCaL version: 2.1.3
% 0.66/0.98 % (3567600)Termination reason: Instruction limit
% 0.66/0.98 % (3567600)Termination phase: Saturation
% 0.66/0.98 % (3567600)Time elapsed: 0.077 s
% 0.66/0.98 % (3567600)Peak memory usage: 89 MB
% 0.66/0.98 % (3567600)Instructions burned: 129 (million)
% 0.66/0.98 % (3567598)Refutation found. Thanks to Tanya!
% 0.66/0.98 % SZS status Theorem for theBenchmark
% 0.66/0.98 % SZS output start Proof for theBenchmark
% See solution above
% 2.84/1.18 % (3567598)------------------------------
% 2.84/1.18 % (3567598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.84/1.18 % (3567598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.84/1.18 % (3567598)CaDiCaL version: 2.1.3
% 2.84/1.18 % (3567598)Termination reason: Refutation
% 2.84/1.18 % (3567598)Time elapsed: 0.026 s
% 2.84/1.18 % (3567598)Peak memory usage: 89 MB
% 2.84/1.18 % (3567598)Instructions burned: 70 (million)
% 2.84/1.18 % (3567598)------------------------------
% 2.84/1.18 % (3567598)------------------------------
% 2.84/1.18 % (3567589)Success in time 0.329 s
% 2.84/1.18 % Vampire exiting
%------------------------------------------------------------------------------