%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW473_2 : 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 : n015.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 2.75s 1.13s
% Output : Refutation 3.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 21 ( 11 unt; 0 typ; 0 def)
% Number of atoms : 45 ( 4 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 22 ~; 16 |; 5 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 87 ( 86 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 277 ( 277 usr; 58 con; 0-3 aty)
% Number of variables : 31 ( 31 !; 0 ?; 31 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
x_a: $tType ).
tff(type_def_6,type,
com: $tType ).
tff(type_def_7,type,
pname: $tType ).
tff(type_def_8,type,
bool: $tType ).
tff(type_def_9,type,
nat: $tType ).
tff(type_def_10,type,
option_com: $tType ).
tff(type_def_11,type,
fun_a_a: $tType ).
tff(type_def_12,type,
fun_a_pname: $tType ).
tff(type_def_13,type,
fun_a_bool: $tType ).
tff(type_def_14,type,
fun_a_nat: $tType ).
tff(type_def_15,type,
fun_a_fun_a_bool: $tType ).
tff(type_def_16,type,
fun_a_fun_pname_bool: $tType ).
tff(type_def_17,type,
fun_a_fun_bool_bool: $tType ).
tff(type_def_18,type,
fun_a_fun_nat_bool: $tType ).
tff(type_def_19,type,
fun_a_1255737515l_bool: $tType ).
tff(type_def_20,type,
fun_a_968466022l_bool: $tType ).
tff(type_def_21,type,
fun_a_762926252l_bool: $tType ).
tff(type_def_22,type,
fun_pname_a: $tType ).
tff(type_def_23,type,
fun_pname_pname: $tType ).
tff(type_def_24,type,
fun_pname_bool: $tType ).
tff(type_def_25,type,
fun_pname_nat: $tType ).
tff(type_def_26,type,
fun_pname_fun_a_bool: $tType ).
tff(type_def_27,type,
fun_pn800050071e_bool: $tType ).
tff(type_def_28,type,
fun_pn250273176l_bool: $tType ).
tff(type_def_29,type,
fun_pn406123357t_bool: $tType ).
tff(type_def_30,type,
fun_pn1038293468l_bool: $tType ).
tff(type_def_31,type,
fun_pn422929397l_bool: $tType ).
tff(type_def_32,type,
fun_pn1165013435l_bool: $tType ).
tff(type_def_33,type,
fun_bool_bool: $tType ).
tff(type_def_34,type,
fun_bo1549164019l_bool: $tType ).
tff(type_def_35,type,
fun_nat_a: $tType ).
tff(type_def_36,type,
fun_nat_pname: $tType ).
tff(type_def_37,type,
fun_nat_bool: $tType ).
tff(type_def_38,type,
fun_nat_nat: $tType ).
tff(type_def_39,type,
fun_nat_fun_a_bool: $tType ).
tff(type_def_40,type,
fun_na936072029e_bool: $tType ).
tff(type_def_41,type,
fun_na1469252690l_bool: $tType ).
tff(type_def_42,type,
fun_nat_fun_nat_bool: $tType ).
tff(type_def_43,type,
fun_na1632405922l_bool: $tType ).
tff(type_def_44,type,
fun_na2122364079l_bool: $tType ).
tff(type_def_45,type,
fun_na1436237685l_bool: $tType ).
tff(type_def_46,type,
fun_fun_a_bool_a: $tType ).
tff(type_def_47,type,
fun_fun_a_bool_pname: $tType ).
tff(type_def_48,type,
fun_fun_a_bool_bool: $tType ).
tff(type_def_49,type,
fun_fun_a_bool_nat: $tType ).
tff(type_def_50,type,
fun_fu1731003005a_bool: $tType ).
tff(type_def_51,type,
fun_fu2112074076e_bool: $tType ).
tff(type_def_52,type,
fun_fu554186387l_bool: $tType ).
tff(type_def_53,type,
fun_fu600484770t_bool: $tType ).
tff(type_def_54,type,
fun_fu1471507361l_bool: $tType ).
tff(type_def_55,type,
fun_fu386216885l_bool: $tType ).
tff(type_def_56,type,
fun_fun_pname_bool_a: $tType ).
tff(type_def_57,type,
fun_fu1499449723_pname: $tType ).
tff(type_def_58,type,
fun_fu1430349052l_bool: $tType ).
tff(type_def_59,type,
fun_fu1668467777ol_nat: $tType ).
tff(type_def_60,type,
fun_fu923319872a_bool: $tType ).
tff(type_def_61,type,
fun_fu410713561e_bool: $tType ).
tff(type_def_62,type,
fun_fu31783638l_bool: $tType ).
tff(type_def_63,type,
fun_fu900310687t_bool: $tType ).
tff(type_def_64,type,
fun_fu802393907l_bool: $tType ).
tff(type_def_65,type,
fun_fu931343505l_bool: $tType ).
tff(type_def_66,type,
fun_fun_nat_bool_a: $tType ).
tff(type_def_67,type,
fun_fu665170229_pname: $tType ).
tff(type_def_68,type,
fun_fu425979586l_bool: $tType ).
tff(type_def_69,type,
fun_fun_nat_bool_nat: $tType ).
tff(type_def_70,type,
fun_fu277003770a_bool: $tType ).
tff(type_def_71,type,
fun_fu1492573599e_bool: $tType ).
tff(type_def_72,type,
fun_fu1016514960l_bool: $tType ).
tff(type_def_73,type,
fun_fu821463397t_bool: $tType ).
tff(type_def_74,type,
fun_fu1217155507l_bool: $tType ).
tff(type_def_75,type,
fun_fu1436348701l_bool: $tType ).
tff(type_def_76,type,
fun_fu885608257l_bool: $tType ).
tff(type_def_77,type,
fun_fu2020802748ol_nat: $tType ).
tff(type_def_78,type,
fun_fu911136611l_bool: $tType ).
tff(type_def_79,type,
fun_fu418465139l_bool: $tType ).
tff(type_def_80,type,
fun_fu399576434l_bool: $tType ).
tff(type_def_81,type,
fun_fu1730389579ol_nat: $tType ).
tff(type_def_82,type,
fun_fu2087345469l_bool: $tType ).
tff(type_def_83,type,
fun_fu1911931399l_bool: $tType ).
tff(type_def_84,type,
fun_fu814369080l_bool: $tType ).
tff(type_def_85,type,
fun_fu411113733ol_nat: $tType ).
tff(type_def_86,type,
fun_fu616551101l_bool: $tType ).
tff(type_def_87,type,
fun_fu140186515l_bool: $tType ).
tff(type_def_88,type,
fun_fu255076663l_bool: $tType ).
tff(type_def_89,type,
fun_fu1438281908l_bool: $tType ).
tff(type_def_90,type,
fun_fu61768826l_bool: $tType ).
tff(func_def_0,type,
cOMBB_a_fun_a_bool_a: ( fun_a_fun_a_bool * fun_a_a ) > fun_a_fun_a_bool ).
tff(func_def_1,type,
cOMBB_1897541054_pname: ( fun_a_fun_a_bool * fun_pname_a ) > fun_pname_fun_a_bool ).
tff(func_def_2,type,
cOMBB_1885489796ol_nat: ( fun_a_fun_a_bool * fun_nat_a ) > fun_nat_fun_a_bool ).
tff(func_def_3,type,
cOMBB_610033911bool_a: ( fun_pn800050071e_bool * fun_a_pname ) > fun_a_fun_pname_bool ).
tff(func_def_4,type,
cOMBB_542850580_pname: ( fun_pn800050071e_bool * fun_pname_pname ) > fun_pn800050071e_bool ).
tff(func_def_5,type,
cOMBB_1212655066ol_nat: ( fun_pn800050071e_bool * fun_nat_pname ) > fun_na936072029e_bool ).
tff(func_def_6,type,
cOMBB_1693087065a_bool: ( fun_pn800050071e_bool * fun_fun_a_bool_pname ) > fun_fu2112074076e_bool ).
tff(func_def_7,type,
cOMBB_598082538e_bool: ( fun_pn800050071e_bool * fun_fu1499449723_pname ) > fun_fu410713561e_bool ).
tff(func_def_8,type,
cOMBB_141086128t_bool: ( fun_pn800050071e_bool * fun_fu665170229_pname ) > fun_fu1492573599e_bool ).
tff(func_def_9,type,
cOMBB_bool_bool_a: ( fun_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_10,type,
cOMBB_647938656_pname: ( fun_bool_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_11,type,
cOMBB_bool_bool_nat: ( fun_bool_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_12,type,
cOMBB_2140588453a_bool: ( fun_bool_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_13,type,
cOMBB_307249310e_bool: ( fun_bool_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_14,type,
cOMBB_238756964t_bool: ( fun_bool_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_15,type,
cOMBB_1972296269bool_a: ( fun_bo1549164019l_bool * fun_a_bool ) > fun_a_fun_bool_bool ).
tff(func_def_16,type,
cOMBB_675860798_pname: ( fun_bo1549164019l_bool * fun_pname_bool ) > fun_pn250273176l_bool ).
tff(func_def_17,type,
cOMBB_1015721476ol_nat: ( fun_bo1549164019l_bool * fun_nat_bool ) > fun_na1469252690l_bool ).
tff(func_def_18,type,
cOMBB_338059395a_bool: ( fun_bo1549164019l_bool * fun_fun_a_bool_bool ) > fun_fu554186387l_bool ).
tff(func_def_19,type,
cOMBB_2095475776e_bool: ( fun_bo1549164019l_bool * fun_fu1430349052l_bool ) > fun_fu31783638l_bool ).
tff(func_def_20,type,
cOMBB_444170502t_bool: ( fun_bo1549164019l_bool * fun_fu425979586l_bool ) > fun_fu1016514960l_bool ).
tff(func_def_21,type,
cOMBB_1321347587bool_a: ( fun_nat_fun_nat_bool * fun_a_nat ) > fun_a_fun_nat_bool ).
tff(func_def_22,type,
cOMBB_523834888_pname: ( fun_nat_fun_nat_bool * fun_pname_nat ) > fun_pn406123357t_bool ).
tff(func_def_23,type,
cOMBB_800536526ol_nat: ( fun_nat_fun_nat_bool * fun_nat_nat ) > fun_nat_fun_nat_bool ).
tff(func_def_24,type,
cOMBB_164527437a_bool: ( fun_nat_fun_nat_bool * fun_fun_a_bool_nat ) > fun_fu600484770t_bool ).
tff(func_def_25,type,
cOMBB_1896684278e_bool: ( fun_nat_fun_nat_bool * fun_fu1668467777ol_nat ) > fun_fu900310687t_bool ).
tff(func_def_26,type,
cOMBB_1250273980t_bool: ( fun_nat_fun_nat_bool * fun_fun_nat_bool_nat ) > fun_fu821463397t_bool ).
tff(func_def_27,type,
cOMBB_472261505bool_a: ( fun_fu1471507361l_bool * fun_a_fun_a_bool ) > fun_a_1255737515l_bool ).
tff(func_def_28,type,
cOMBB_392435466_pname: ( fun_fu1471507361l_bool * fun_pname_fun_a_bool ) > fun_pn1038293468l_bool ).
tff(func_def_29,type,
cOMBB_1823939024ol_nat: ( fun_fu1471507361l_bool * fun_nat_fun_a_bool ) > fun_na1632405922l_bool ).
tff(func_def_30,type,
cOMBB_1137537805bool_a: ( fun_fu802393907l_bool * fun_a_fun_pname_bool ) > fun_a_968466022l_bool ).
tff(func_def_31,type,
cOMBB_408569982_pname: ( fun_fu802393907l_bool * fun_pn800050071e_bool ) > fun_pn422929397l_bool ).
tff(func_def_32,type,
cOMBB_2117322052ol_nat: ( fun_fu802393907l_bool * fun_na936072029e_bool ) > fun_na2122364079l_bool ).
tff(func_def_33,type,
cOMBB_743407885bool_a: ( fun_fu1217155507l_bool * fun_a_fun_nat_bool ) > fun_a_762926252l_bool ).
tff(func_def_34,type,
cOMBB_928955006_pname: ( fun_fu1217155507l_bool * fun_pn406123357t_bool ) > fun_pn1165013435l_bool ).
tff(func_def_35,type,
cOMBB_2026977092ol_nat: ( fun_fu1217155507l_bool * fun_nat_fun_nat_bool ) > fun_na1436237685l_bool ).
tff(func_def_36,type,
cOMBC_a_a_bool: fun_a_fun_a_bool > fun_a_fun_a_bool ).
tff(func_def_37,type,
cOMBC_a_pname_bool: fun_a_fun_pname_bool > fun_pname_fun_a_bool ).
tff(func_def_38,type,
cOMBC_a_nat_bool: fun_a_fun_nat_bool > fun_nat_fun_a_bool ).
tff(func_def_39,type,
cOMBC_1355376034l_bool: fun_a_1255737515l_bool > fun_fu1731003005a_bool ).
tff(func_def_40,type,
cOMBC_1834145417l_bool: fun_a_968466022l_bool > fun_fu923319872a_bool ).
tff(func_def_41,type,
cOMBC_777206479l_bool: fun_a_762926252l_bool > fun_fu277003770a_bool ).
tff(func_def_42,type,
cOMBC_pname_a_bool: fun_pname_fun_a_bool > fun_a_fun_pname_bool ).
tff(func_def_43,type,
cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).
tff(func_def_44,type,
cOMBC_pname_nat_bool: fun_pn406123357t_bool > fun_na936072029e_bool ).
tff(func_def_45,type,
cOMBC_445755039l_bool: fun_pn1038293468l_bool > fun_fu2112074076e_bool ).
tff(func_def_46,type,
cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).
tff(func_def_47,type,
cOMBC_267053842l_bool: fun_pn1165013435l_bool > fun_fu1492573599e_bool ).
tff(func_def_48,type,
cOMBC_nat_a_bool: fun_nat_fun_a_bool > fun_a_fun_nat_bool ).
tff(func_def_49,type,
cOMBC_nat_pname_bool: fun_na936072029e_bool > fun_pn406123357t_bool ).
tff(func_def_50,type,
cOMBC_nat_nat_bool: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_51,type,
cOMBC_1928494297l_bool: fun_na1632405922l_bool > fun_fu600484770t_bool ).
tff(func_def_52,type,
cOMBC_386238098l_bool: fun_na2122364079l_bool > fun_fu900310687t_bool ).
tff(func_def_53,type,
cOMBC_226598744l_bool: fun_na1436237685l_bool > fun_fu821463397t_bool ).
tff(func_def_54,type,
cOMBC_1738168533e_bool: fun_fu2112074076e_bool > fun_pn1038293468l_bool ).
tff(func_def_55,type,
cOMBC_619334683t_bool: fun_fu600484770t_bool > fun_na1632405922l_bool ).
tff(func_def_56,type,
cOMBC_1732670874l_bool: fun_fu1471507361l_bool > fun_fu1471507361l_bool ).
tff(func_def_57,type,
cOMBC_1880041174l_bool: fun_fu386216885l_bool > fun_fu911136611l_bool ).
tff(func_def_58,type,
cOMBC_1004116266e_bool: fun_fu410713561e_bool > fun_pn422929397l_bool ).
tff(func_def_59,type,
cOMBC_1666426608t_bool: fun_fu900310687t_bool > fun_na2122364079l_bool ).
tff(func_def_60,type,
cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).
tff(func_def_61,type,
cOMBC_1988546018l_bool: fun_fu931343505l_bool > fun_fu2087345469l_bool ).
tff(func_def_62,type,
cOMBC_615407716e_bool: fun_fu1492573599e_bool > fun_pn1165013435l_bool ).
tff(func_def_63,type,
cOMBC_385542954t_bool: fun_fu821463397t_bool > fun_na1436237685l_bool ).
tff(func_def_64,type,
cOMBC_1693257480l_bool: fun_fu1217155507l_bool > fun_fu1217155507l_bool ).
tff(func_def_65,type,
cOMBC_1245412066l_bool: fun_fu1436348701l_bool > fun_fu616551101l_bool ).
tff(func_def_66,type,
cOMBC_331553030l_bool: fun_fu418465139l_bool > fun_fu418465139l_bool ).
tff(func_def_67,type,
cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).
tff(func_def_68,type,
cOMBC_595898202l_bool: fun_fu140186515l_bool > fun_fu140186515l_bool ).
tff(func_def_69,type,
cOMBK_a_pname: x_a > fun_pname_a ).
tff(func_def_70,type,
cOMBK_bool_a: bool > fun_a_bool ).
tff(func_def_71,type,
cOMBK_bool_pname: bool > fun_pname_bool ).
tff(func_def_72,type,
cOMBK_bool_nat: bool > fun_nat_bool ).
tff(func_def_73,type,
cOMBK_324466864a_bool: bool > fun_fun_a_bool_bool ).
tff(func_def_74,type,
cOMBK_1857069011e_bool: bool > fun_fu1430349052l_bool ).
tff(func_def_75,type,
cOMBK_1994329625t_bool: bool > fun_fu425979586l_bool ).
tff(func_def_76,type,
cOMBS_a_bool_bool: ( fun_a_fun_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_77,type,
cOMBS_568398431l_bool: ( fun_pn250273176l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_78,type,
cOMBS_nat_bool_bool: ( fun_na1469252690l_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_79,type,
cOMBS_1035972772l_bool: ( fun_fu554186387l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_80,type,
cOMBS_350070575l_bool: ( fun_fu31783638l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_81,type,
cOMBS_1187019125l_bool: ( fun_fu1016514960l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_82,type,
body: pname > option_com ).
tff(func_def_83,type,
finite_card_a: fun_fun_a_bool_nat ).
tff(func_def_84,type,
finite_card_pname: fun_fu1668467777ol_nat ).
tff(func_def_85,type,
finite_card_nat: fun_fun_nat_bool_nat ).
tff(func_def_86,type,
finite1306199131a_bool: fun_fu2020802748ol_nat ).
tff(func_def_87,type,
finite1340463720e_bool: fun_fu1730389579ol_nat ).
tff(func_def_88,type,
finite346522414t_bool: fun_fu411113733ol_nat ).
tff(func_def_89,type,
finite_finite_a: fun_fun_a_bool_bool ).
tff(func_def_90,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(func_def_91,type,
finite_finite_nat: fun_fu425979586l_bool ).
tff(func_def_92,type,
finite347923420a_bool: fun_fu885608257l_bool ).
tff(func_def_93,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(func_def_94,type,
finite2012431853t_bool: fun_fu814369080l_bool ).
tff(func_def_95,type,
finite1381704300l_bool: fun_fu255076663l_bool ).
tff(func_def_96,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(func_def_97,type,
finite1701474069l_bool: fun_fu61768826l_bool ).
tff(func_def_98,type,
minus_minus_nat: nat > fun_nat_nat ).
tff(func_def_99,type,
one_one_nat: nat ).
tff(func_def_100,type,
plus_plus_nat: nat > fun_nat_nat ).
tff(func_def_101,type,
zero_zero_nat: nat ).
tff(func_def_102,type,
suc: fun_nat_nat ).
tff(func_def_103,type,
nat_case_bool: ( bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_104,type,
the_com: option_com > com ).
tff(func_def_105,type,
bot_bot_bool: bool ).
tff(func_def_106,type,
bot_bot_nat: nat ).
tff(func_def_107,type,
bot_bot_fun_a_bool: fun_a_bool ).
tff(func_def_108,type,
bot_bo844097828e_bool: fun_pname_bool ).
tff(func_def_109,type,
bot_bot_fun_nat_bool: fun_nat_bool ).
tff(func_def_110,type,
bot_bo1389914601l_bool: fun_fun_a_bool_bool ).
tff(func_def_111,type,
bot_bo1649642514l_bool: fun_fu1430349052l_bool ).
tff(func_def_112,type,
bot_bo1701429464l_bool: fun_fu425979586l_bool ).
tff(func_def_113,type,
ord_less_nat: fun_nat_fun_nat_bool ).
tff(func_def_114,type,
ord_less_eq_bool: fun_bo1549164019l_bool ).
tff(func_def_115,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_116,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
tff(func_def_117,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(func_def_118,type,
ord_le1568362934t_bool: fun_fu1217155507l_bool ).
tff(func_def_119,type,
ord_le1375614389l_bool: fun_fu418465139l_bool ).
tff(func_def_120,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(func_def_121,type,
ord_le1454342156l_bool: fun_fu140186515l_bool ).
tff(func_def_122,type,
collect_a: fun_a_bool > fun_a_bool ).
tff(func_def_123,type,
collect_pname: fun_pname_bool > fun_pname_bool ).
tff(func_def_124,type,
collect_nat: fun_nat_bool > fun_nat_bool ).
tff(func_def_125,type,
collect_fun_a_bool: fun_fun_a_bool_bool > fun_fun_a_bool_bool ).
tff(func_def_126,type,
collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).
tff(func_def_127,type,
collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).
tff(func_def_128,type,
collec707592106l_bool: fun_fu885608257l_bool > fun_fu885608257l_bool ).
tff(func_def_129,type,
collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).
tff(func_def_130,type,
collec1015864663l_bool: fun_fu814369080l_bool > fun_fu814369080l_bool ).
tff(func_def_131,type,
image_a_a: ( fun_a_a * fun_a_bool ) > fun_a_bool ).
tff(func_def_132,type,
image_a_pname: ( fun_a_pname * fun_a_bool ) > fun_pname_bool ).
tff(func_def_133,type,
image_a_nat: ( fun_a_nat * fun_a_bool ) > fun_nat_bool ).
tff(func_def_134,type,
image_a_fun_a_bool: ( fun_a_fun_a_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_135,type,
image_819518260e_bool: ( fun_a_fun_pname_bool * fun_a_bool ) > fun_fu1430349052l_bool ).
tff(func_def_136,type,
image_a_fun_nat_bool: ( fun_a_fun_nat_bool * fun_a_bool ) > fun_fu425979586l_bool ).
tff(func_def_137,type,
image_pname_a: ( fun_pname_a * fun_pname_bool ) > fun_a_bool ).
tff(func_def_138,type,
image_pname_pname: ( fun_pname_pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_139,type,
image_pname_nat: ( fun_pname_nat * fun_pname_bool ) > fun_nat_bool ).
tff(func_def_140,type,
image_112932426a_bool: ( fun_pname_fun_a_bool * fun_pname_bool ) > fun_fun_a_bool_bool ).
tff(func_def_141,type,
image_47868345e_bool: ( fun_pn800050071e_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_142,type,
image_2129980159t_bool: ( fun_pn406123357t_bool * fun_pname_bool ) > fun_fu425979586l_bool ).
tff(func_def_143,type,
image_nat_a: ( fun_nat_a * fun_nat_bool ) > fun_a_bool ).
tff(func_def_144,type,
image_nat_pname: ( fun_nat_pname * fun_nat_bool ) > fun_pname_bool ).
tff(func_def_145,type,
image_nat_nat: ( fun_nat_nat * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_146,type,
image_nat_fun_a_bool: ( fun_nat_fun_a_bool * fun_nat_bool ) > fun_fun_a_bool_bool ).
tff(func_def_147,type,
image_1655916159e_bool: ( fun_na936072029e_bool * fun_nat_bool ) > fun_fu1430349052l_bool ).
tff(func_def_148,type,
image_26036933t_bool: ( fun_nat_fun_nat_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_149,type,
image_fun_a_bool_a: ( fun_fun_a_bool_a * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_150,type,
image_1854862208_pname: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_pname_bool ).
tff(func_def_151,type,
image_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_nat_bool ).
tff(func_def_152,type,
image_876012084bool_a: ( fun_fun_pname_bool_a * fun_fu1430349052l_bool ) > fun_a_bool ).
tff(func_def_153,type,
image_1283814551_pname: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_154,type,
image_1551609309ol_nat: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_nat_bool ).
tff(func_def_155,type,
image_fun_nat_bool_a: ( fun_fun_nat_bool_a * fun_fu425979586l_bool ) > fun_a_bool ).
tff(func_def_156,type,
image_1921560913_pname: ( fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_pname_bool ).
tff(func_def_157,type,
image_496248727ol_nat: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_158,type,
insert_a: ( x_a * fun_a_bool ) > fun_a_bool ).
tff(func_def_159,type,
insert_pname: ( pname * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_160,type,
insert_nat: ( nat * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_161,type,
insert_fun_a_bool: ( fun_a_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_162,type,
insert1325755072e_bool: ( fun_pname_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_163,type,
insert_fun_nat_bool: ( fun_nat_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_164,type,
fFalse: bool ).
tff(func_def_165,type,
fNot: fun_bool_bool ).
tff(func_def_166,type,
fTrue: bool ).
tff(func_def_167,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_168,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_169,type,
fequal_a: fun_a_fun_a_bool ).
tff(func_def_170,type,
fequal_pname: fun_pn800050071e_bool ).
tff(func_def_171,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_172,type,
fequal_fun_a_bool: fun_fu1471507361l_bool ).
tff(func_def_173,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(func_def_174,type,
fequal_fun_nat_bool: fun_fu1217155507l_bool ).
tff(func_def_175,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_176,type,
hAPP_a_a: ( fun_a_a * x_a ) > x_a ).
tff(func_def_177,type,
hAPP_a_pname: ( fun_a_pname * x_a ) > pname ).
tff(func_def_178,type,
hAPP_a_bool: ( fun_a_bool * x_a ) > bool ).
tff(func_def_179,type,
hAPP_a_nat: ( fun_a_nat * x_a ) > nat ).
tff(func_def_180,type,
hAPP_a_fun_a_bool: ( fun_a_fun_a_bool * x_a ) > fun_a_bool ).
tff(func_def_181,type,
hAPP_a93125764e_bool: ( fun_a_fun_pname_bool * x_a ) > fun_pname_bool ).
tff(func_def_182,type,
hAPP_a_fun_bool_bool: ( fun_a_fun_bool_bool * x_a ) > fun_bool_bool ).
tff(func_def_183,type,
hAPP_a_fun_nat_bool: ( fun_a_fun_nat_bool * x_a ) > fun_nat_bool ).
tff(func_def_184,type,
hAPP_a85458249l_bool: ( fun_a_1255737515l_bool * x_a ) > fun_fun_a_bool_bool ).
tff(func_def_185,type,
hAPP_a217006258l_bool: ( fun_a_968466022l_bool * x_a ) > fun_fu1430349052l_bool ).
tff(func_def_186,type,
hAPP_a1392362872l_bool: ( fun_a_762926252l_bool * x_a ) > fun_fu425979586l_bool ).
tff(func_def_187,type,
hAPP_pname_a: ( fun_pname_a * pname ) > x_a ).
tff(func_def_188,type,
hAPP_pname_pname: ( fun_pname_pname * pname ) > pname ).
tff(func_def_189,type,
hAPP_pname_bool: ( fun_pname_bool * pname ) > bool ).
tff(func_def_190,type,
hAPP_pname_nat: ( fun_pname_nat * pname ) > nat ).
tff(func_def_191,type,
hAPP_p1534023578a_bool: ( fun_pname_fun_a_bool * pname ) > fun_a_bool ).
tff(func_def_192,type,
hAPP_p61793385e_bool: ( fun_pn800050071e_bool * pname ) > fun_pname_bool ).
tff(func_def_193,type,
hAPP_p393069232l_bool: ( fun_pn250273176l_bool * pname ) > fun_bool_bool ).
tff(func_def_194,type,
hAPP_p1499970991t_bool: ( fun_pn406123357t_bool * pname ) > fun_nat_bool ).
tff(func_def_195,type,
hAPP_p1824510254l_bool: ( fun_pn1038293468l_bool * pname ) > fun_fun_a_bool_bool ).
tff(func_def_196,type,
hAPP_p338031245l_bool: ( fun_pn422929397l_bool * pname ) > fun_fu1430349052l_bool ).
tff(func_def_197,type,
hAPP_p130839763l_bool: ( fun_pn1165013435l_bool * pname ) > fun_fu425979586l_bool ).
tff(func_def_198,type,
hAPP_bool_bool: ( fun_bool_bool * bool ) > bool ).
tff(func_def_199,type,
hAPP_b589554111l_bool: ( fun_bo1549164019l_bool * bool ) > fun_bool_bool ).
tff(func_def_200,type,
hAPP_nat_a: ( fun_nat_a * nat ) > x_a ).
tff(func_def_201,type,
hAPP_nat_pname: ( fun_nat_pname * nat ) > pname ).
tff(func_def_202,type,
hAPP_nat_bool: ( fun_nat_bool * nat ) > bool ).
tff(func_def_203,type,
hAPP_nat_nat: ( fun_nat_nat * nat ) > nat ).
tff(func_def_204,type,
hAPP_nat_fun_a_bool: ( fun_nat_fun_a_bool * nat ) > fun_a_bool ).
tff(func_def_205,type,
hAPP_n1025906991e_bool: ( fun_na936072029e_bool * nat ) > fun_pname_bool ).
tff(func_def_206,type,
hAPP_n1006566506l_bool: ( fun_na1469252690l_bool * nat ) > fun_bool_bool ).
tff(func_def_207,type,
hAPP_n1699378549t_bool: ( fun_nat_fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_208,type,
hAPP_n1414589940l_bool: ( fun_na1632405922l_bool * nat ) > fun_fun_a_bool_bool ).
tff(func_def_209,type,
hAPP_n850744903l_bool: ( fun_na2122364079l_bool * nat ) > fun_fu1430349052l_bool ).
tff(func_def_210,type,
hAPP_n215258509l_bool: ( fun_na1436237685l_bool * nat ) > fun_fu425979586l_bool ).
tff(func_def_211,type,
hAPP_f1128469712_pname: ( fun_fun_a_bool_pname * fun_a_bool ) > pname ).
tff(func_def_212,type,
hAPP_fun_a_bool_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > bool ).
tff(func_def_213,type,
hAPP_fun_a_bool_nat: ( fun_fun_a_bool_nat * fun_a_bool ) > nat ).
tff(func_def_214,type,
hAPP_f2050579477a_bool: ( fun_fu1731003005a_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_215,type,
hAPP_f1794073134e_bool: ( fun_fu2112074076e_bool * fun_a_bool ) > fun_pname_bool ).
tff(func_def_216,type,
hAPP_f198738859l_bool: ( fun_fu554186387l_bool * fun_a_bool ) > fun_bool_bool ).
tff(func_def_217,type,
hAPP_f282463732t_bool: ( fun_fu600484770t_bool * fun_a_bool ) > fun_nat_bool ).
tff(func_def_218,type,
hAPP_f1631501043l_bool: ( fun_fu1471507361l_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_219,type,
hAPP_f285962445l_bool: ( fun_fu386216885l_bool * fun_a_bool ) > fun_fu885608257l_bool ).
tff(func_def_220,type,
hAPP_f1297739591_pname: ( fun_fu1499449723_pname * fun_pname_bool ) > pname ).
tff(func_def_221,type,
hAPP_f1664156314l_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > bool ).
tff(func_def_222,type,
hAPP_f921600141ol_nat: ( fun_fu1668467777ol_nat * fun_pname_bool ) > nat ).
tff(func_def_223,type,
hAPP_f1051908748a_bool: ( fun_fu923319872a_bool * fun_pname_bool ) > fun_a_bool ).
tff(func_def_224,type,
hAPP_f759274231e_bool: ( fun_fu410713561e_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_225,type,
hAPP_f1476298914l_bool: ( fun_fu31783638l_bool * fun_pname_bool ) > fun_bool_bool ).
tff(func_def_226,type,
hAPP_f1066163005t_bool: ( fun_fu900310687t_bool * fun_pname_bool ) > fun_nat_bool ).
tff(func_def_227,type,
hAPP_f434788991l_bool: ( fun_fu802393907l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_228,type,
hAPP_f556039215l_bool: ( fun_fu931343505l_bool * fun_pname_bool ) > fun_fu399576434l_bool ).
tff(func_def_229,type,
hAPP_f1291551745_pname: ( fun_fu665170229_pname * fun_nat_bool ) > pname ).
tff(func_def_230,type,
hAPP_f54304608l_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > bool ).
tff(func_def_231,type,
hAPP_f22106695ol_nat: ( fun_fun_nat_bool_nat * fun_nat_bool ) > nat ).
tff(func_def_232,type,
hAPP_f1549043526a_bool: ( fun_fu277003770a_bool * fun_nat_bool ) > fun_a_bool ).
tff(func_def_233,type,
hAPP_f654413245e_bool: ( fun_fu1492573599e_bool * fun_nat_bool ) > fun_pname_bool ).
tff(func_def_234,type,
hAPP_f1748468828l_bool: ( fun_fu1016514960l_bool * fun_nat_bool ) > fun_bool_bool ).
tff(func_def_235,type,
hAPP_f800510211t_bool: ( fun_fu821463397t_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_236,type,
hAPP_f103356543l_bool: ( fun_fu1217155507l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_237,type,
hAPP_f1951378235l_bool: ( fun_fu1436348701l_bool * fun_nat_bool ) > fun_fu814369080l_bool ).
tff(func_def_238,type,
hAPP_f621171935l_bool: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > bool ).
tff(func_def_239,type,
hAPP_f2009550088ol_nat: ( fun_fu2020802748ol_nat * fun_fun_a_bool_bool ) > nat ).
tff(func_def_240,type,
hAPP_f2117159681l_bool: ( fun_fu911136611l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_241,type,
hAPP_f1434722111l_bool: ( fun_fu418465139l_bool * fun_fun_a_bool_bool ) > fun_fu885608257l_bool ).
tff(func_def_242,type,
hAPP_f1935102916l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > bool ).
tff(func_def_243,type,
hAPP_f55526627ol_nat: ( fun_fu1730389579ol_nat * fun_fu1430349052l_bool ) > nat ).
tff(func_def_244,type,
hAPP_f559147733l_bool: ( fun_fu2087345469l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_245,type,
hAPP_f510955609l_bool: ( fun_fu1911931399l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(func_def_246,type,
hAPP_f1637334154l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > bool ).
tff(func_def_247,type,
hAPP_f696928925ol_nat: ( fun_fu411113733ol_nat * fun_fu425979586l_bool ) > nat ).
tff(func_def_248,type,
hAPP_f1246832597l_bool: ( fun_fu616551101l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_249,type,
hAPP_f1772781669l_bool: ( fun_fu140186515l_bool * fun_fu425979586l_bool ) > fun_fu814369080l_bool ).
tff(func_def_250,type,
hAPP_f292226953l_bool: ( fun_fu255076663l_bool * fun_fu885608257l_bool ) > bool ).
tff(func_def_251,type,
hAPP_f389811538l_bool: ( fun_fu1438281908l_bool * fun_fu399576434l_bool ) > bool ).
tff(func_def_252,type,
hAPP_f937997336l_bool: ( fun_fu61768826l_bool * fun_fu814369080l_bool ) > bool ).
tff(func_def_253,type,
member_a: fun_a_1255737515l_bool ).
tff(func_def_254,type,
member_pname: fun_pn422929397l_bool ).
tff(func_def_255,type,
member_nat: fun_na1436237685l_bool ).
tff(func_def_256,type,
member_fun_a_bool: fun_fu386216885l_bool ).
tff(func_def_257,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(func_def_258,type,
member_fun_nat_bool: fun_fu1436348701l_bool ).
tff(func_def_259,type,
g: fun_a_bool ).
tff(func_def_260,type,
p: fun_a_bool > fun_fun_a_bool_bool ).
tff(func_def_261,type,
u: fun_pname_bool ).
tff(func_def_262,type,
mgt: com > x_a ).
tff(func_def_263,type,
mgt_call: fun_pname_a ).
tff(func_def_264,type,
na: nat ).
tff(func_def_265,type,
pn: pname ).
tff(func_def_266,type,
wt: com > bool ).
tff(func_def_267,type,
sK0: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_268,type,
sK1: ( fun_pname_a * fun_pname_bool * fun_a_bool ) > fun_pname_bool ).
tff(func_def_269,type,
sK2: nat > nat ).
tff(func_def_270,type,
sK3: fun_nat_nat > nat ).
tff(func_def_271,type,
sK4: fun_nat_bool > nat ).
tff(func_def_272,type,
sK5: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_273,type,
sK6: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_274,type,
sK7: ( fun_pname_a * fun_a_bool * fun_pname_bool ) > pname ).
tff(func_def_275,type,
sK8: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_276,type,
sK9: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sP10: fun_pname_bool > $o ).
tff(pred_def_3,type,
sP11: fun_a_bool > $o ).
tff(pred_def_4,type,
sP12: fun_pname_bool > $o ).
tff(pred_def_5,type,
sP13: fun_a_bool > $o ).
tff(f313,axiom,
! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3))
=> ( ( X0 = hAPP_pname_a(X1,X2) )
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_312_rev__image__eqI) ).
tff(f325,axiom,
! [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)),X2))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_324_insert__subset) ).
tff(f809,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(f812,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_4) ).
tff(f814,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(f815,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)],[f814]) ).
tff(f816,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,[],[f815]) ).
tff(f945,plain,
! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
| ( hAPP_pname_a(X1,X2) != X0 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(ennf_transformation,[],[f313]) ).
tff(f946,plain,
! [X0: x_a,X1: fun_pname_a,X2: pname,X3: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
| ( hAPP_pname_a(X1,X2) != X0 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(flattening,[],[f945]) ).
tff(f998,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)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) )
& ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
& 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)),X2)) ) ),
inference(nnf_transformation,[],[f325]) ).
tff(f999,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)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) )
& ( ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
& 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)),X2)) ) ),
inference(flattening,[],[f998]) ).
tff(f1005,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f809]) ).
tff(f1008,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f812]) ).
tff(f1010,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,[],[f816]) ).
tff(f1161,plain,
! [X2: pname,X3: fun_pname_bool,X0: x_a,X1: fun_pname_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),image_pname_a(X1,X3)))
| ( hAPP_pname_a(X1,X2) != X0 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(cnf_transformation,[],[f946]) ).
tff(f1173,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)),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2)) ),
inference(cnf_transformation,[],[f999]) ).
tff(f1228,plain,
! [X2: pname,X3: fun_pname_bool,X1: fun_pname_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X1,X2)),image_pname_a(X1,X3)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X2),X3)) ),
inference(equality_resolution,[],[f1161]) ).
tff(f1234,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),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(resolution,[],[f1010,f1173]) ).
tff(f1251,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))),
inference(forward_subsumption_resolution,[],[f1234,f1005]) ).
tff(f1385,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[],[f1251,f1228]) ).
tff(f1388,plain,
$false,
inference(forward_subsumption_resolution,[],[f1385,f1008]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473_2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n015.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 14:09:47 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 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
% 2.75/1.13 % (2643941)Detected formulas, will run a generic FOF schedule.
% 2.75/1.13 % (2643947)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=1523342520:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.75/1.13 % (2643952)dis-21_1_sil=8000:lcm=predicate:random_seed=2025358680: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)
% 2.75/1.13 % (2643946)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=2332462716:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.75/1.13 % (2643951)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=772240608:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.75/1.13 % (2643949)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3760402955:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.75/1.13 % (2643950)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3922935800:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.75/1.13 % (2643948)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=4237768285:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.75/1.13 % (2643949)First to succeed.
% 2.75/1.13 % (2643949)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2643941"
% 2.75/1.13 % (2643952)Instruction limit reached!
% 2.75/1.13 % (2643952)------------------------------
% 2.75/1.13 % (2643952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.13 % (2643952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.13 % (2643952)CaDiCaL version: 2.1.3
% 2.75/1.13 % (2643952)Termination reason: Instruction limit
% 2.75/1.13 % (2643952)Termination phase: Saturation
% 2.75/1.13 % (2643952)Time elapsed: 0.067 s
% 2.75/1.13 % (2643952)Peak memory usage: 90 MB
% 2.75/1.13 % (2643952)Instructions burned: 130 (million)
% 2.75/1.13 % (2643950)Instruction limit reached!
% 2.75/1.13 % (2643950)------------------------------
% 2.75/1.13 % (2643950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.13 % (2643950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.13 % (2643950)CaDiCaL version: 2.1.3
% 2.75/1.13 % (2643950)Termination reason: Instruction limit
% 2.75/1.13 % (2643950)Termination phase: Saturation
% 2.75/1.13 % (2643950)Time elapsed: 0.073 s
% 2.75/1.13 % (2643950)Peak memory usage: 90 MB
% 2.75/1.13 % (2643950)Instructions burned: 123 (million)
% 2.75/1.13 % (2643951)Instruction limit reached!
% 2.75/1.13 % (2643951)------------------------------
% 2.75/1.13 % (2643951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.75/1.13 % (2643951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.75/1.13 % (2643951)CaDiCaL version: 2.1.3
% 2.75/1.13 % (2643951)Termination reason: Instruction limit
% 2.75/1.13 % (2643951)Termination phase: Saturation
% 2.75/1.13 % (2643951)Time elapsed: 0.077 s
% 2.75/1.13 % (2643951)Peak memory usage: 90 MB
% 2.75/1.13 % (2643951)Instructions burned: 140 (million)
% 2.75/1.13 % (2643960)lrs+10_1_sil=8000:sp=occurrence:random_seed=3107373857:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.75/1.13 % (2643962)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2899598070:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 2.75/1.13 % (2643961)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2476099281:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.75/1.13 % (2643961)Also succeeded, but the first one will report.
% 2.75/1.13 % (2643949)Refutation found. Thanks to Tanya!
% 2.75/1.13 % SZS status Theorem for theBenchmark
% 2.75/1.13 % SZS output start Proof for theBenchmark
% See solution above
% 3.69/1.32 % (2643949)------------------------------
% 3.69/1.32 % (2643949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.69/1.32 % (2643949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.69/1.32 % (2643949)CaDiCaL version: 2.1.3
% 3.69/1.32 % (2643949)Termination reason: Refutation
% 3.69/1.32 % (2643949)Time elapsed: 0.018 s
% 3.69/1.32 % (2643949)Peak memory usage: 90 MB
% 3.69/1.32 % (2643949)Instructions burned: 29 (million)
% 3.69/1.32 % (2643949)------------------------------
% 3.69/1.32 % (2643949)------------------------------
% 3.69/1.32 % (2643941)Success in time 0.46 s
% 3.69/1.32 % Vampire exiting
%------------------------------------------------------------------------------