%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW473_2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n018.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 01:40:09 PM UTC 2026
% Result : Theorem 11.92s 4.21s
% Output : Refutation 11.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 7
% Syntax : Number of formulae : 32 ( 20 unt; 0 typ; 0 def)
% Number of atoms : 53 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 20 ~; 17 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 87 ( 86 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 401 ( 401 usr; 58 con; 0-3 aty)
% Number of variables : 43 ( 43 !; 0 ?; 43 :)
% 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_fun_nat_bool_a * fun_fu425979586l_bool * fun_a_bool ) > fun_fu425979586l_bool ).
tff(func_def_268,type,
sK1: ( fun_fun_pname_bool_a * fun_fu1430349052l_bool * fun_a_bool ) > fun_fu1430349052l_bool ).
tff(func_def_269,type,
sK2: ( fun_fun_a_bool_a * fun_fun_a_bool_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_270,type,
sK3: ( fun_a_a * fun_a_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_271,type,
sK4: ( fun_a_fun_nat_bool * fun_a_bool * fun_fu425979586l_bool ) > fun_a_bool ).
tff(func_def_272,type,
sK5: ( fun_a_fun_pname_bool * fun_a_bool * fun_fu1430349052l_bool ) > fun_a_bool ).
tff(func_def_273,type,
sK6: ( fun_a_fun_a_bool * fun_a_bool * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_274,type,
sK7: ( fun_a_pname * fun_a_bool * fun_pname_bool ) > fun_a_bool ).
tff(func_def_275,type,
sK8: ( fun_fu665170229_pname * fun_fu425979586l_bool * fun_pname_bool ) > fun_fu425979586l_bool ).
tff(func_def_276,type,
sK9: ( fun_fu1499449723_pname * fun_fu1430349052l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_277,type,
sK10: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool * fun_pname_bool ) > fun_fun_a_bool_bool ).
tff(func_def_278,type,
sK11: ( fun_a_nat * fun_a_bool * fun_nat_bool ) > fun_a_bool ).
tff(func_def_279,type,
sK12: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_280,type,
sK13: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool * fun_nat_bool ) > fun_fu1430349052l_bool ).
tff(func_def_281,type,
sK14: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool * fun_nat_bool ) > fun_fun_a_bool_bool ).
tff(func_def_282,type,
sK15: ( fun_pn406123357t_bool * fun_pname_bool * fun_fu425979586l_bool ) > fun_pname_bool ).
tff(func_def_283,type,
sK16: ( fun_pn800050071e_bool * fun_pname_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_284,type,
sK17: ( fun_pname_fun_a_bool * fun_pname_bool * fun_fun_a_bool_bool ) > fun_pname_bool ).
tff(func_def_285,type,
sK18: ( fun_pname_pname * fun_pname_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_286,type,
sK19: ( fun_pname_nat * fun_pname_bool * fun_nat_bool ) > fun_pname_bool ).
tff(func_def_287,type,
sK20: ( fun_nat_a * fun_nat_bool * fun_a_bool ) > fun_nat_bool ).
tff(func_def_288,type,
sK21: ( fun_nat_fun_nat_bool * fun_nat_bool * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_289,type,
sK22: ( fun_na936072029e_bool * fun_nat_bool * fun_fu1430349052l_bool ) > fun_nat_bool ).
tff(func_def_290,type,
sK23: ( fun_nat_fun_a_bool * fun_nat_bool * fun_fun_a_bool_bool ) > fun_nat_bool ).
tff(func_def_291,type,
sK24: ( fun_nat_pname * fun_nat_bool * fun_pname_bool ) > fun_nat_bool ).
tff(func_def_292,type,
sK25: ( fun_nat_nat * fun_nat_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_293,type,
sK26: ( fun_pname_a * fun_pname_bool * fun_a_bool ) > fun_pname_bool ).
tff(func_def_294,type,
sK27: fun_nat_bool > nat ).
tff(func_def_295,type,
sK28: fun_na936072029e_bool > nat ).
tff(func_def_296,type,
sK29: fun_nat_fun_nat_bool > nat ).
tff(func_def_297,type,
sK30: fun_nat_fun_a_bool > nat ).
tff(func_def_298,type,
sK31: fun_nat_nat > nat ).
tff(func_def_299,type,
sK32: ( fun_nat_pname * fun_nat_bool ) > nat ).
tff(func_def_300,type,
sK33: ( fun_a_pname * fun_a_bool ) > x_a ).
tff(func_def_301,type,
sK34: ( fun_pname_pname * fun_pname_bool ) > pname ).
tff(func_def_302,type,
sK35: ( fun_fu665170229_pname * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_303,type,
sK36: ( fun_fu1499449723_pname * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_304,type,
sK37: ( fun_fun_a_bool_pname * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_305,type,
sK38: ( fun_nat_nat * fun_nat_bool ) > nat ).
tff(func_def_306,type,
sK39: ( fun_a_nat * fun_a_bool ) > x_a ).
tff(func_def_307,type,
sK40: ( fun_pname_nat * fun_pname_bool ) > pname ).
tff(func_def_308,type,
sK41: ( fun_fun_nat_bool_nat * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_309,type,
sK42: ( fun_fu1668467777ol_nat * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_310,type,
sK43: ( fun_fun_a_bool_nat * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_311,type,
sK44: ( fun_nat_a * fun_nat_bool ) > nat ).
tff(func_def_312,type,
sK45: ( fun_nat_fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_313,type,
sK46: ( fun_na936072029e_bool * fun_nat_bool ) > nat ).
tff(func_def_314,type,
sK47: ( fun_nat_fun_a_bool * fun_nat_bool ) > nat ).
tff(func_def_315,type,
sK48: ( fun_pn406123357t_bool * fun_pname_bool ) > pname ).
tff(func_def_316,type,
sK49: ( fun_pn800050071e_bool * fun_pname_bool ) > pname ).
tff(func_def_317,type,
sK50: ( fun_pname_fun_a_bool * fun_pname_bool ) > pname ).
tff(func_def_318,type,
sK51: ( fun_a_a * fun_a_bool ) > x_a ).
tff(func_def_319,type,
sK52: ( fun_a_fun_nat_bool * fun_a_bool ) > x_a ).
tff(func_def_320,type,
sK53: ( fun_a_fun_pname_bool * fun_a_bool ) > x_a ).
tff(func_def_321,type,
sK54: ( fun_a_fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_322,type,
sK55: ( fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_323,type,
sK56: fun_nat_bool > nat ).
tff(func_def_324,type,
sK57: nat > nat ).
tff(func_def_325,type,
sK58: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_326,type,
sK59: ( fun_a_bool * fun_nat_a * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_327,type,
sK60: ( fun_pname_bool * fun_a_pname * fun_a_bool ) > fun_a_bool ).
tff(func_def_328,type,
sK61: ( fun_nat_bool * fun_a_nat * fun_a_bool ) > fun_a_bool ).
tff(func_def_329,type,
sK62: ( fun_a_bool * fun_pname_a * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_330,type,
sK63: ( pname * fun_nat_pname * fun_nat_bool ) > nat ).
tff(func_def_331,type,
sK64: ( x_a * fun_nat_a * fun_nat_bool ) > nat ).
tff(func_def_332,type,
sK65: ( nat * fun_pname_nat * fun_pname_bool ) > pname ).
tff(func_def_333,type,
sK66: ( nat * fun_a_nat * fun_a_bool ) > x_a ).
tff(func_def_334,type,
sK67: ( x_a * fun_pname_a * fun_pname_bool ) > pname ).
tff(func_def_335,type,
sK68: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_336,type,
sK69: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_337,type,
sK70: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_338,type,
sK71: ( fun_pname_nat * fun_nat_bool * fun_pname_bool ) > pname ).
tff(func_def_339,type,
sK72: ( fun_pname_pname * fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_340,type,
sK73: ( fun_a_nat * fun_nat_bool * fun_a_bool ) > x_a ).
tff(func_def_341,type,
sK74: ( fun_a_pname * fun_pname_bool * fun_a_bool ) > x_a ).
tff(func_def_342,type,
sK75: ( fun_nat_pname * fun_pname_bool * fun_nat_bool ) > nat ).
tff(func_def_343,type,
sK76: ( fun_nat_a * fun_a_bool * fun_nat_bool ) > nat ).
tff(func_def_344,type,
sK77: ( fun_pname_a * fun_a_bool * fun_pname_bool ) > pname ).
tff(func_def_345,type,
sK78: fun_nat_bool > nat ).
tff(func_def_346,type,
sK79: ( fun_nat_bool * nat ) > nat ).
tff(func_def_347,type,
sK80: fun_a_bool > pname ).
tff(func_def_348,type,
sK81: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_349,type,
sK82: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_350,type,
sK83: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_351,type,
sK84: fun_pname_bool > pname ).
tff(func_def_352,type,
sK85: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_353,type,
sK86: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_354,type,
sK87: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_355,type,
sK88: fun_a_bool > x_a ).
tff(func_def_356,type,
sK89: fun_nat_bool > nat ).
tff(func_def_357,type,
sK90: fun_pname_bool > pname ).
tff(func_def_358,type,
sK91: fun_fu425979586l_bool > fun_nat_bool ).
tff(func_def_359,type,
sK92: fun_fu1430349052l_bool > fun_pname_bool ).
tff(func_def_360,type,
sK93: fun_fun_a_bool_bool > fun_a_bool ).
tff(func_def_361,type,
sK94: fun_a_bool > x_a ).
tff(func_def_362,type,
sK95: fun_nat_bool > nat ).
tff(func_def_363,type,
sK96: fun_nat_bool > nat ).
tff(func_def_364,type,
sK97: fun_pname_bool > pname ).
tff(func_def_365,type,
sK98: fun_a_bool > x_a ).
tff(func_def_366,type,
sK99: fun_nat_bool > nat ).
tff(func_def_367,type,
sK100: fun_pname_bool > pname ).
tff(func_def_368,type,
sK101: fun_a_bool > x_a ).
tff(func_def_369,type,
sK102: ( fun_fu425979586l_bool * fun_nat_bool ) > nat ).
tff(func_def_370,type,
sK103: ( fun_fu425979586l_bool * fun_nat_bool ) > fun_nat_bool ).
tff(func_def_371,type,
sK104: ( fun_fu1430349052l_bool * fun_pname_bool ) > pname ).
tff(func_def_372,type,
sK105: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_pname_bool ).
tff(func_def_373,type,
sK106: ( fun_fun_a_bool_bool * fun_a_bool ) > x_a ).
tff(func_def_374,type,
sK107: ( fun_fun_a_bool_bool * fun_a_bool ) > fun_a_bool ).
tff(func_def_375,type,
sK108: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > fun_nat_bool ).
tff(func_def_376,type,
sK109: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > fun_fu425979586l_bool ).
tff(func_def_377,type,
sK110: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_pname_bool ).
tff(func_def_378,type,
sK111: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_379,type,
sK112: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > fun_a_bool ).
tff(func_def_380,type,
sK113: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_381,type,
sK114: fun_fu814369080l_bool > fun_nat_bool ).
tff(func_def_382,type,
sK115: fun_fu814369080l_bool > fun_fu425979586l_bool ).
tff(func_def_383,type,
sK116: fun_fu399576434l_bool > fun_pname_bool ).
tff(func_def_384,type,
sK117: fun_fu399576434l_bool > fun_fu1430349052l_bool ).
tff(func_def_385,type,
sK118: fun_fu885608257l_bool > fun_a_bool ).
tff(func_def_386,type,
sK119: fun_fu885608257l_bool > fun_fun_a_bool_bool ).
tff(func_def_387,type,
sK120: fun_nat_nat > nat ).
tff(func_def_388,type,
sK121: ( nat * nat ) > nat ).
tff(func_def_389,type,
sK122: fun_nat_bool > nat ).
tff(func_def_390,type,
sK123: ( fun_nat_bool * nat ) > nat ).
tff(func_def_391,type,
sK124: ( nat * nat ) > nat ).
tff(func_def_392,type,
sK125: fun_nat_nat > nat ).
tff(func_def_393,type,
sK126: fun_nat_nat > nat ).
tff(func_def_394,type,
sK127: ( fun_nat_bool * nat ) > nat ).
tff(func_def_395,type,
sK128: ( nat * nat ) > nat ).
tff(func_def_396,type,
sK129: ( nat * fun_nat_bool ) > nat ).
tff(func_def_397,type,
sK130: fun_nat_nat > nat ).
tff(func_def_398,type,
sK131: fun_nat_nat > nat ).
tff(func_def_399,type,
sK132: ( nat * nat ) > nat ).
tff(func_def_400,type,
sK133: ( nat * nat ) > nat ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(f216,axiom,
! [X0: fun_pname_bool,X1: x_a,X2: fun_pname_a,X3: pname] :
( ( X1 = hAPP_pname_a(X2,X3) )
=> ( 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))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_image__eqI) ).
tff(f239,axiom,
! [X0: x_a,X1: fun_a_bool] : ( insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_insert__compr) ).
tff(f291,axiom,
! [X0: fun_a_bool] : ( collect_a(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_290_Collect__def) ).
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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f812,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/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/sandbox2/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(f1125,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,[],[f216]) ).
tff(f1126,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,[],[f1125]) ).
tff(f1812,plain,
! [X2: fun_pname_a,X3: pname,X0: fun_pname_bool,X1: x_a] :
( ( 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(cnf_transformation,[],[f1126]) ).
tff(f1839,plain,
! [X0: x_a,X1: fun_a_bool] : ( insert_a(X0,X1) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1))) ),
inference(cnf_transformation,[],[f239]) ).
tff(f1915,plain,
! [X0: fun_a_bool] : ( collect_a(X0) = X0 ),
inference(cnf_transformation,[],[f291]) ).
tff(f1960,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( ~ 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(cnf_transformation,[],[f325]) ).
tff(f2654,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(f2657,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f812]) ).
tff(f2659,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(f2771,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( ~ 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,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2)) ),
inference(definition_unfolding,[],[f1960,f1839]) ).
tff(f2877,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
inference(definition_unfolding,[],[f2659,f1839]) ).
tff(f2886,plain,
! [X2: fun_pname_a,X3: pname,X0: fun_pname_bool] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X3),X0))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(X2,X3)),image_pname_a(X2,X0))) ),
inference(equality_resolution,[],[f1812]) ).
tff(f3345,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(consistent_polarity_flipping,[],[f2886]) ).
tff(f3461,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( 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,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1)))),X2)) ),
inference(consistent_polarity_flipping,[],[f2771]) ).
tff(f3972,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(consistent_polarity_flipping,[],[f2654]) ).
tff(f3974,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(consistent_polarity_flipping,[],[f2657]) ).
tff(f3976,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g)))),image_pname_a(mgt_call,u))),
inference(consistent_polarity_flipping,[],[f2877]) ).
tff(f4033,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(mgt_call,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),g))),image_pname_a(mgt_call,u))),
inference(superposition,[],[f3976,f1915]) ).
tff(f26433,plain,
! [X2: fun_a_bool,X0: x_a,X1: fun_a_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),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(forward_demodulation,[],[f3461,f1915]) ).
tff(f26438,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,[],[f26433,f4033]) ).
tff(f26454,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,[],[f26438,f3972]) ).
tff(f69958,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[],[f26454,f3345]) ).
tff(f69999,plain,
$false,
inference(forward_subsumption_resolution,[],[f69958,f3974]) ).
%------------------------------------------------------------------------------
%----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/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n018.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.26 % DateTime : Mon Sep 28 14:08:40 UTC 2026
% 0.11/0.26 % CPUTime :
% 0.11/0.26 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.25/0.30 Running first-order model finding
% 0.25/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.92/4.21 % (3401796)Will run a generic schedule for satisfiability detection.
% 11.92/4.21 % (3401801)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4060494108_2999 on theBenchmark for (2999ds/0Mi)
% 11.92/4.21 % (3401802)% WARNING: option uhcvi not known.
% 11.92/4.21 % (3401805)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3057820308:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.92/4.21 % (3401804)dis+10_1_sil=32000:sp=arity:random_seed=3600951213:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.92/4.21 % (3401803)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2829381585:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.92/4.21 % (3401806)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1581840447:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.92/4.21 % (3401807)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4288431844:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.92/4.21 % (3401802)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4220836564:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.92/4.21 % (3401804)Instruction limit reached!
% 11.92/4.21 % (3401804)------------------------------
% 11.92/4.21 % (3401804)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401804)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401804)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401804)Termination reason: Instruction limit
% 11.92/4.21 % (3401804)Termination phase: Saturation
% 11.92/4.21 % (3401804)Time elapsed: 0.096 s
% 11.92/4.21 % (3401804)Peak memory usage: 14 MB
% 11.92/4.21 % (3401804)Instructions burned: 103 (million)
% 11.92/4.21 % (3401805)Instruction limit reached!
% 11.92/4.21 % (3401805)------------------------------
% 11.92/4.21 % (3401805)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401805)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401805)Termination reason: Instruction limit
% 11.92/4.21 % (3401805)Termination phase: Saturation
% 11.92/4.21 % (3401805)Time elapsed: 0.097 s
% 11.92/4.21 % (3401805)Peak memory usage: 13 MB
% 11.92/4.21 % (3401805)Instructions burned: 116 (million)
% 11.92/4.21 % (3401818)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=490520862:i=131:bd=preordered:fsd=on_2997 on theBenchmark for (2997ds/131Mi)
% 11.92/4.21 % (3401806)Instruction limit reached!
% 11.92/4.21 % (3401806)------------------------------
% 11.92/4.21 % (3401806)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401806)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401806)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401806)Termination reason: Instruction limit
% 11.92/4.21 % (3401806)Termination phase: Saturation
% 11.92/4.21 % (3401806)Time elapsed: 0.120 s
% 11.92/4.21 % (3401806)Peak memory usage: 14 MB
% 11.92/4.21 % (3401806)Instructions burned: 131 (million)
% 11.92/4.21 % (3401817)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=4278385510:i=714:nm=2_2997 on theBenchmark for (2997ds/714Mi)
% 11.92/4.21 % (3401820)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2339619451:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2997 on theBenchmark for (2997ds/684Mi)
% 11.92/4.21 % (3401807)Instruction limit reached!
% 11.92/4.21 % (3401807)------------------------------
% 11.92/4.21 % (3401807)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401807)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401807)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401807)Termination reason: Instruction limit
% 11.92/4.21 % (3401807)Termination phase: Saturation
% 11.92/4.21 % (3401807)Time elapsed: 0.156 s
% 11.92/4.21 % (3401807)Peak memory usage: 15 MB
% 11.92/4.21 % (3401807)Instructions burned: 159 (million)
% 11.92/4.21 % (3401823)ott-21_1_sil=16000:fs=off:random_seed=676886466:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 11.92/4.21 % (3401818)Instruction limit reached!
% 11.92/4.21 % (3401818)------------------------------
% 11.92/4.21 % (3401818)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401818)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401818)Termination reason: Instruction limit
% 11.92/4.21 % (3401818)Termination phase: Saturation
% 11.92/4.21 % (3401818)Time elapsed: 0.112 s
% 11.92/4.21 % (3401818)Peak memory usage: 13 MB
% 11.92/4.21 % (3401818)Instructions burned: 131 (million)
% 11.92/4.21 % (3401825)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1565535634:i=477:bd=all_2996 on theBenchmark for (2996ds/477Mi)
% 11.92/4.21 % (3401823)Instruction limit reached!
% 11.92/4.21 % (3401823)------------------------------
% 11.92/4.21 % (3401823)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401823)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401823)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401823)Termination reason: Instruction limit
% 11.92/4.21 % (3401823)Termination phase: Saturation
% 11.92/4.21 % (3401823)Time elapsed: 0.165 s
% 11.92/4.21 % (3401823)Peak memory usage: 13 MB
% 11.92/4.21 % (3401823)Instructions burned: 180 (million)
% 11.92/4.21 % (3401827)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3475472526:fmbsr=1.3:i=865:ins=25_2995 on theBenchmark for (2995ds/865Mi)
% 11.92/4.21 % (3401825)Instruction limit reached!
% 11.92/4.21 % (3401825)------------------------------
% 11.92/4.21 % (3401825)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401825)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401825)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401825)Termination reason: Instruction limit
% 11.92/4.21 % (3401825)Termination phase: Saturation
% 11.92/4.21 % (3401825)Time elapsed: 0.414 s
% 11.92/4.21 % (3401825)Peak memory usage: 15 MB
% 11.92/4.21 % (3401825)Instructions burned: 477 (million)
% 11.92/4.21 % (3401835)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3346209907:i=1179_2992 on theBenchmark for (2992ds/1179Mi)
% 11.92/4.21 % (3401817)Instruction limit reached!
% 11.92/4.21 % (3401817)------------------------------
% 11.92/4.21 % (3401817)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401817)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401817)Termination reason: Instruction limit
% 11.92/4.21 % (3401817)Termination phase: Finite model building preprocessing
% 11.92/4.21 % (3401817)Time elapsed: 0.619 s
% 11.92/4.21 % (3401817)Peak memory usage: 22 MB
% 11.92/4.21 % (3401817)Instructions burned: 714 (million)
% 11.92/4.21 % (3401837)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=159252155:i=889:ins=1_2991 on theBenchmark for (2991ds/889Mi)
% 11.92/4.21 % (3401820)Instruction limit reached!
% 11.92/4.21 % (3401820)------------------------------
% 11.92/4.21 % (3401820)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401820)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401820)Termination reason: Instruction limit
% 11.92/4.21 % (3401820)Termination phase: Saturation
% 11.92/4.21 % (3401820)Time elapsed: 0.642 s
% 11.92/4.21 % (3401820)Peak memory usage: 19 MB
% 11.92/4.21 % (3401820)Instructions burned: 684 (million)
% 11.92/4.21 % (3401839)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=1765142881:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2990 on theBenchmark for (2990ds/692Mi)
% 11.92/4.21 % (3401827)Instruction limit reached!
% 11.92/4.21 % (3401827)------------------------------
% 11.92/4.21 % (3401827)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401827)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401827)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401827)Termination reason: Instruction limit
% 11.92/4.21 % (3401827)Termination phase: Finite model building preprocessing
% 11.92/4.21 % (3401827)Time elapsed: 0.739 s
% 11.92/4.21 % (3401827)Peak memory usage: 28 MB
% 11.92/4.21 % (3401827)Instructions burned: 865 (million)
% 11.92/4.21 % (3401841)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=3153228985:i=879:kws=inv_precedence:fsr=off_2987 on theBenchmark for (2987ds/879Mi)
% 11.92/4.21 % (3401839)Instruction limit reached!
% 11.92/4.21 % (3401839)------------------------------
% 11.92/4.21 % (3401839)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401839)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401839)Termination reason: Instruction limit
% 11.92/4.21 % (3401839)Termination phase: Saturation
% 11.92/4.21 % (3401839)Time elapsed: 0.516 s
% 11.92/4.21 % (3401839)Peak memory usage: 17 MB
% 11.92/4.21 % (3401839)Instructions burned: 693 (million)
% 11.92/4.21 % (3401845)fmb+10_1_sil=64000:random_seed=1174280611:i=22061:nm=2:gsp=on_2985 on theBenchmark for (2985ds/22061Mi)
% 11.92/4.21 % (3401837)Instruction limit reached!
% 11.92/4.21 % (3401837)------------------------------
% 11.92/4.21 % (3401837)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401837)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401837)Termination reason: Instruction limit
% 11.92/4.21 % (3401837)Termination phase: Finite model building preprocessing
% 11.92/4.21 % (3401837)Time elapsed: 0.797 s
% 11.92/4.21 % (3401837)Peak memory usage: 28 MB
% 11.92/4.21 % (3401837)Instructions burned: 889 (million)
% 11.92/4.21 % (3401847)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=577447521:i=9515:nm=5_2983 on theBenchmark for (2983ds/9515Mi)
% 11.92/4.21 % (3401835)Instruction limit reached!
% 11.92/4.21 % (3401835)------------------------------
% 11.92/4.21 % (3401835)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401835)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401835)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401835)Termination reason: Instruction limit
% 11.92/4.21 % (3401835)Termination phase: Saturation
% 11.92/4.21 % (3401835)Time elapsed: 1.128 s
% 11.92/4.21 % (3401835)Peak memory usage: 26 MB
% 11.92/4.21 % (3401835)Instructions burned: 1180 (million)
% 11.92/4.21 % (3401849)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=210295776:fmbsr=1.7:i=920_2980 on theBenchmark for (2980ds/920Mi)
% 11.92/4.21 % (3401841)Instruction limit reached!
% 11.92/4.21 % (3401841)------------------------------
% 11.92/4.21 % (3401841)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401841)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401841)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401841)Termination reason: Instruction limit
% 11.92/4.21 % (3401841)Termination phase: Saturation
% 11.92/4.21 % (3401841)Time elapsed: 0.803 s
% 11.92/4.21 % (3401841)Peak memory usage: 19 MB
% 11.92/4.21 % (3401841)Instructions burned: 880 (million)
% 11.92/4.21 % (3401851)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1534110843:i=5131_2979 on theBenchmark for (2979ds/5131Mi)
% 11.92/4.21 % (3401849)Instruction limit reached!
% 11.92/4.21 % (3401849)------------------------------
% 11.92/4.21 % (3401849)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401849)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401849)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401849)Termination reason: Instruction limit
% 11.92/4.21 % (3401849)Termination phase: Finite model building preprocessing
% 11.92/4.21 % (3401849)Time elapsed: 0.784 s
% 11.92/4.21 % (3401849)Peak memory usage: 28 MB
% 11.92/4.21 % (3401849)Instructions burned: 920 (million)
% 11.92/4.21 % (3401853)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=4088296414:i=1472:ins=7:fdi=8:gsp=on_2972 on theBenchmark for (2972ds/1472Mi)
% 11.92/4.21 % Detected minimum model sizes of [1,1,1,1,1,1,1,1,1,1,1]
% 11.92/4.21 % Detected maximum model sizes of [max,max,max,max,max,max,max,max,2,max,max]
% 11.92/4.21 % TRYING [1,1,1,1,1,1,1,1,1,1,1]
% 11.92/4.21 % TRYING [1,1,1,1,1,1,1,1,1,1,2]
% 11.92/4.21 % TRYING [1,1,1,1,1,1,1,1,1,1,3]
% 11.92/4.21 % TRYING [1,1,1,1,1,1,1,1,2,1,3]
% 11.92/4.21 % TRYING [1,1,1,1,1,1,2,1,2,1,3]
% 11.92/4.21 % TRYING [1,1,1,1,1,2,2,1,2,1,3]
% 11.92/4.21 % TRYING [1,1,1,1,2,2,2,1,2,1,3]
% 11.92/4.21 % TRYING [1,1,1,2,2,2,2,1,2,1,3]
% 11.92/4.21 % TRYING [1,1,2,2,2,2,2,1,2,1,3]
% 11.92/4.21 % TRYING [1,2,2,2,2,2,2,1,2,1,3]
% 11.92/4.21 % TRYING [2,2,2,2,2,2,2,1,2,1,3]
% 11.92/4.21 % TRYING [2,2,2,2,2,2,3,1,2,1,3]
% 11.92/4.21 % (3401802) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3401796-3401802"...
% 11.92/4.21 % (3401802)...printing done.
% 11.92/4.21 % (3401802)Refutation found. Thanks to Tanya!
% 11.92/4.21 % SZS status Theorem for theBenchmark
% 11.92/4.21 % SZS output start Proof for theBenchmark
% See solution above
% 11.92/4.21 % (3401802)------------------------------
% 11.92/4.21 % (3401802)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.92/4.21 % (3401802)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.92/4.21 % (3401802)CaDiCaL version: 2.1.3
% 11.92/4.21 % (3401802)Termination reason: Refutation
% 11.92/4.21 % (3401802)Time elapsed: 3.762 s
% 11.92/4.21 % (3401802)Peak memory usage: 40 MB
% 11.92/4.21 % (3401802)Instructions burned: 4077 (million)
% 11.92/4.21 % (3401796)Success in time 3.897 s
% 11.92/4.21 % Vampire exiting
%------------------------------------------------------------------------------