TSTP Solution File: SWW473_2 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWW473_2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 1 04:19:07 EDT 2024
% Result : Theorem 0.67s 0.84s
% Output : Refutation 0.67s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 393
% Syntax : Number of formulae : 411 ( 11 unt; 388 typ; 0 def)
% Number of atoms : 51 ( 5 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 50 ( 22 ~; 16 |; 6 &)
% ( 2 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 87 ( 86 usr)
% Number of type conns : 425 ( 244 >; 181 *; 0 +; 0 <<)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 295 ( 295 usr; 58 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,
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(func_def_277,type,
sK10: ( fun_fun_a_bool_bool * fun_a_bool ) > x_a ).
tff(func_def_278,type,
sK11: ( fun_fun_a_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_279,type,
sK12: fun_a_bool > x_a ).
tff(func_def_280,type,
sK13: fun_a_bool > x_a ).
tff(func_def_281,type,
sK14: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).
tff(func_def_282,type,
sK15: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_283,type,
sK16: fun_pname_bool > pname ).
tff(func_def_284,type,
sK17: fun_pname_bool > pname ).
tff(func_def_285,type,
sK18: ( nat * nat ) > nat ).
tff(func_def_286,type,
sK19: ( nat * nat ) > nat ).
tff(func_def_287,type,
sK20: fun_nat_nat > nat ).
tff(func_def_288,type,
sK21: fun_nat_nat > nat ).
tff(func_def_289,type,
sK22: ( fun_nat_bool * nat ) > nat ).
tff(func_def_290,type,
sK23: ( nat * nat ) > nat ).
tff(func_def_291,type,
sK24: fun_nat_nat > nat ).
tff(func_def_292,type,
sK25: fun_nat_nat > nat ).
tff(func_def_293,type,
sK26: ( nat * nat ) > nat ).
tff(func_def_294,type,
sK27: ( nat * nat ) > nat ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(pred_def_2,type,
sQ28_eqProxy: ( nat * nat ) > $o ).
tff(pred_def_3,type,
sQ29_eqProxy: ( fun_a_bool * fun_a_bool ) > $o ).
tff(pred_def_4,type,
sQ30_eqProxy: ( fun_pname_bool * fun_pname_bool ) > $o ).
tff(pred_def_5,type,
sQ31_eqProxy: ( x_a * x_a ) > $o ).
tff(pred_def_6,type,
sQ32_eqProxy: ( pname * pname ) > $o ).
tff(pred_def_7,type,
sQ33_eqProxy: ( fun_nat_bool * fun_nat_bool ) > $o ).
tff(f2242,plain,
$false,
inference(subsumption_resolution,[],[f2230,f1497]) ).
tff(f1497,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f812]) ).
tff(f812,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/tmp/tmp.Gmgi0CiT6s/Vampire---4.8_6372',conj_4) ).
tff(f2230,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[],[f2194,f1941]) ).
tff(f1941,plain,
! [X2: fun_pname_a,X3: pname,X0: fun_pname_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X3)),image_pname_a(X2,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0)) ),
inference(equality_resolution,[],[f1655]) ).
tff(f1655,plain,
! [X2: fun_pname_a,X3: pname,X0: fun_pname_bool,X1: x_a] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| ( hAPP_pname_a(X2,X3) != X1 ) ),
inference(cnf_transformation,[],[f1234]) ).
tff(f1234,plain,
! [X0: fun_pname_bool,X1: x_a,X2: fun_pname_a,X3: pname] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| ( hAPP_pname_a(X2,X3) != X1 ) ),
inference(flattening,[],[f1233]) ).
tff(f1233,plain,
! [X0: fun_pname_bool,X1: x_a,X2: fun_pname_a,X3: pname] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| ( hAPP_pname_a(X2,X3) != X1 ) ),
inference(ennf_transformation,[],[f937]) ).
tff(f937,plain,
! [X0: fun_pname_bool,X1: x_a,X2: fun_pname_a,X3: pname] :
( ( hAPP_pname_a(X2,X3) = X1 )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X1),image_pname_a(X2,X0))) ) ),
inference(rectify,[],[f216]) ).
tff(f216,axiom,
! [X2: fun_pname_bool,X28: x_a,X6: fun_pname_a,X8: pname] :
( ( hAPP_pname_a(X6,X8) = X28 )
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X8),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X28),image_pname_a(X6,X2))) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Gmgi0CiT6s/Vampire---4.8_6372',fact_215_image__eqI) ).
tff(f2194,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(subsumption_resolution,[],[f2188,f1494]) ).
tff(f1494,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(f809,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/tmp/tmp.Gmgi0CiT6s/Vampire---4.8_6372',conj_1) ).
tff(f2188,plain,
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(mgt_call,pn)),image_pname_a(mgt_call,u))) ),
inference(resolution,[],[f1499,f1662]) ).
tff(f1662,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_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ),
inference(cnf_transformation,[],[f1407]) ).
tff(f1407,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_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_a85458249l_bool(member_a,X0),X2)) )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
inference(flattening,[],[f1406]) ).
tff(f1406,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_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_a85458249l_bool(member_a,X0),X2)) )
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),X2)) ) ),
inference(nnf_transformation,[],[f941]) ).
tff(f941,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_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X0),X2)) ) ),
inference(rectify,[],[f325]) ).
tff(f325,axiom,
! [X8: x_a,X2: fun_a_bool,X7: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X8,X2)),X7))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X2),X7))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X8),X7)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.Gmgi0CiT6s/Vampire---4.8_6372',fact_324_insert__subset) ).
tff(f1499,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(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(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,[],[f814]) ).
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/sandbox2/tmp/tmp.Gmgi0CiT6s/Vampire---4.8_6372',conj_6) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : SWW473_2 : TPTP v8.1.2. Released v5.3.0.
% 0.14/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.14/0.35 % Computer : n026.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 18:19:05 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.14/0.36 This is a TF0_THM_EQU_NAR problem
% 0.21/0.36 Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.Gmgi0CiT6s/Vampire---4.8_6372
% 0.61/0.83 % (6618)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.61/0.83 % (6622)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.61/0.83 % (6615)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.83 % (6617)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.61/0.83 % (6616)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.61/0.83 % (6619)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.61/0.83 % (6620)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.61/0.83 % (6621)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.67/0.84 % (6618)Instruction limit reached!
% 0.67/0.84 % (6618)------------------------------
% 0.67/0.84 % (6618)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.84 % (6618)Termination reason: Unknown
% 0.67/0.84 % (6618)Termination phase: Saturation
% 0.67/0.84
% 0.67/0.84 % (6618)Memory used [KB]: 2289
% 0.67/0.84 % (6618)Time elapsed: 0.012 s
% 0.67/0.84 % (6618)Instructions burned: 35 (million)
% 0.67/0.84 % (6618)------------------------------
% 0.67/0.84 % (6618)------------------------------
% 0.67/0.84 % (6622)First to succeed.
% 0.67/0.84 % (6622)Refutation found. Thanks to Tanya!
% 0.67/0.84 % SZS status Theorem for Vampire---4
% 0.67/0.84 % SZS output start Proof for Vampire---4
% See solution above
% 0.67/0.84 % (6622)------------------------------
% 0.67/0.84 % (6622)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.67/0.84 % (6622)Termination reason: Refutation
% 0.67/0.84
% 0.67/0.84 % (6622)Memory used [KB]: 2384
% 0.67/0.84 % (6622)Time elapsed: 0.013 s
% 0.67/0.84 % (6622)Instructions burned: 43 (million)
% 0.67/0.84 % (6622)------------------------------
% 0.67/0.84 % (6622)------------------------------
% 0.67/0.84 % (6562)Success in time 0.482 s
% 0.67/0.84 % Vampire---4.8 exiting
%------------------------------------------------------------------------------