%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : SWW473_1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:29:47 PM UTC 2026
% Result : Theorem 3.39s 1.19s
% Output : CNFRefutation 3.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 36 ( 23 unt; 0 typ; 0 def)
% Number of atoms : 49 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 29 ( 16 ~; 11 |; 0 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 93 ( 91 usr; 91 prp; 0-2 aty)
% Number of functors : 230 ( 230 usr; 53 con; 0-3 aty)
% Number of variables : 58 ( 0 sgn 58 !; 0 ?; 58 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
cOMBB_1897541054_pname: ( fun_pname_a * fun_a_fun_a_bool ) > fun_pname_fun_a_bool ).
tff(pred_def_1,type,
hBOOL: bool > $o ).
tff(func_def_2,type,
cOMBB_647938656_pname: ( fun_pname_bool * fun_bool_bool ) > fun_pname_bool ).
tff(func_def_3,type,
cOMBB_bool_bool_nat: ( fun_nat_bool * fun_bool_bool ) > fun_nat_bool ).
tff(func_def_4,type,
cOMBB_2140588453a_bool: ( fun_fun_a_bool_bool * fun_bool_bool ) > fun_fun_a_bool_bool ).
tff(func_def_5,type,
cOMBB_307249310e_bool: ( fun_fu1430349052l_bool * fun_bool_bool ) > fun_fu1430349052l_bool ).
tff(func_def_6,type,
cOMBB_238756964t_bool: ( fun_fu425979586l_bool * fun_bool_bool ) > fun_fu425979586l_bool ).
tff(func_def_7,type,
cOMBB_1972296269bool_a: ( fun_a_bool * fun_bo1549164019l_bool ) > fun_a_fun_bool_bool ).
tff(func_def_8,type,
cOMBB_675860798_pname: ( fun_pname_bool * fun_bo1549164019l_bool ) > fun_pn250273176l_bool ).
tff(func_def_9,type,
cOMBB_1015721476ol_nat: ( fun_nat_bool * fun_bo1549164019l_bool ) > fun_na1469252690l_bool ).
tff(func_def_10,type,
cOMBB_338059395a_bool: ( fun_fun_a_bool_bool * fun_bo1549164019l_bool ) > fun_fu554186387l_bool ).
tff(func_def_11,type,
cOMBB_2095475776e_bool: ( fun_fu1430349052l_bool * fun_bo1549164019l_bool ) > fun_fu31783638l_bool ).
tff(func_def_12,type,
cOMBB_444170502t_bool: ( fun_fu425979586l_bool * fun_bo1549164019l_bool ) > fun_fu1016514960l_bool ).
tff(func_def_13,type,
cOMBC_a_a_bool: fun_a_fun_a_bool > fun_a_fun_a_bool ).
tff(func_def_14,type,
cOMBC_1355376034l_bool: fun_a_1255737515l_bool > fun_fu1731003005a_bool ).
tff(func_def_15,type,
cOMBC_pname_a_bool: fun_pname_fun_a_bool > fun_a_fun_pname_bool ).
tff(func_def_16,type,
cOMBC_1149511130e_bool: fun_pn800050071e_bool > fun_pn800050071e_bool ).
tff(func_def_17,type,
cOMBC_1058051404l_bool: fun_pn422929397l_bool > fun_fu410713561e_bool ).
tff(func_def_18,type,
cOMBC_nat_nat_bool: fun_nat_fun_nat_bool > fun_nat_fun_nat_bool ).
tff(func_def_19,type,
cOMBC_226598744l_bool: fun_na1436237685l_bool > fun_fu821463397t_bool ).
tff(func_def_20,type,
cOMBC_1732670874l_bool: fun_fu1471507361l_bool > fun_fu1471507361l_bool ).
tff(func_def_21,type,
cOMBC_1880041174l_bool: fun_fu386216885l_bool > fun_fu911136611l_bool ).
tff(func_def_22,type,
cOMBC_1284144636l_bool: fun_fu802393907l_bool > fun_fu802393907l_bool ).
tff(func_def_23,type,
cOMBC_1988546018l_bool: fun_fu931343505l_bool > fun_fu2087345469l_bool ).
tff(func_def_24,type,
cOMBC_1693257480l_bool: fun_fu1217155507l_bool > fun_fu1217155507l_bool ).
tff(func_def_25,type,
cOMBC_1245412066l_bool: fun_fu1436348701l_bool > fun_fu616551101l_bool ).
tff(func_def_26,type,
cOMBC_331553030l_bool: fun_fu418465139l_bool > fun_fu418465139l_bool ).
tff(func_def_27,type,
cOMBC_7971162l_bool: fun_fu1911931399l_bool > fun_fu1911931399l_bool ).
tff(func_def_28,type,
cOMBC_595898202l_bool: fun_fu140186515l_bool > fun_fu140186515l_bool ).
tff(func_def_29,type,
cOMBC_636888218l_bool: fun_fu821736593l_bool > fun_fu821736593l_bool ).
tff(func_def_30,type,
cOMBC_336095980l_bool: fun_fu1086940979l_bool > fun_fu1086940979l_bool ).
tff(func_def_31,type,
cOMBC_1269652216l_bool: fun_fu1137991347l_bool > fun_fu1137991347l_bool ).
tff(func_def_32,type,
cOMBS_a_bool_bool: ( fun_a_bool * fun_a_fun_bool_bool ) > fun_a_bool ).
tff(func_def_33,type,
cOMBS_568398431l_bool: ( fun_pname_bool * fun_pn250273176l_bool ) > fun_pname_bool ).
tff(func_def_34,type,
cOMBS_nat_bool_bool: ( fun_nat_bool * fun_na1469252690l_bool ) > fun_nat_bool ).
tff(func_def_35,type,
cOMBS_1035972772l_bool: ( fun_fun_a_bool_bool * fun_fu554186387l_bool ) > fun_fun_a_bool_bool ).
tff(func_def_36,type,
cOMBS_350070575l_bool: ( fun_fu1430349052l_bool * fun_fu31783638l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_37,type,
cOMBS_1187019125l_bool: ( fun_fu425979586l_bool * fun_fu1016514960l_bool ) > fun_fu425979586l_bool ).
tff(func_def_38,type,
finite_card_a: fun_fun_a_bool_nat ).
tff(func_def_39,type,
finite_card_pname: fun_fu1668467777ol_nat ).
tff(func_def_40,type,
finite_card_nat: fun_fun_nat_bool_nat ).
tff(func_def_41,type,
finite1306199131a_bool: fun_fu2020802748ol_nat ).
tff(func_def_42,type,
finite1340463720e_bool: fun_fu1730389579ol_nat ).
tff(func_def_43,type,
finite346522414t_bool: fun_fu411113733ol_nat ).
tff(func_def_44,type,
finite1659325229l_bool: fun_fu48515398ol_nat ).
tff(func_def_45,type,
finite269641166l_bool: fun_fu1701008009ol_nat ).
tff(func_def_46,type,
finite1352710292l_bool: fun_fu1297083715ol_nat ).
tff(func_def_47,type,
finite_finite_a: fun_fun_a_bool_bool ).
tff(func_def_48,type,
finite_finite_pname: fun_fu1430349052l_bool ).
tff(func_def_49,type,
finite_finite_nat: fun_fu425979586l_bool ).
tff(func_def_50,type,
finite347923420a_bool: fun_fu885608257l_bool ).
tff(func_def_51,type,
finite595471783e_bool: fun_fu399576434l_bool ).
tff(func_def_52,type,
finite2012431853t_bool: fun_fu814369080l_bool ).
tff(func_def_53,type,
finite1381704300l_bool: fun_fu255076663l_bool ).
tff(func_def_54,type,
finite786885583l_bool: fun_fu1438281908l_bool ).
tff(func_def_55,type,
finite1701474069l_bool: fun_fu61768826l_bool ).
tff(func_def_56,type,
finite1343359508l_bool: fun_fu754241017l_bool ).
tff(func_def_57,type,
finite1491191519l_bool: fun_fu2065874474l_bool ).
tff(func_def_58,type,
finite719726885l_bool: fun_fu1971389424l_bool ).
tff(func_def_59,type,
minus_minus_nat: nat > fun_nat_nat ).
tff(func_def_60,type,
suc: fun_nat_nat ).
tff(func_def_61,type,
ord_less_eq_nat: fun_nat_fun_nat_bool ).
tff(func_def_62,type,
ord_le1311769555a_bool: fun_fu1471507361l_bool ).
tff(func_def_63,type,
ord_le313189616e_bool: fun_fu802393907l_bool ).
tff(func_def_64,type,
ord_le1568362934t_bool: fun_fu1217155507l_bool ).
tff(func_def_65,type,
ord_le1375614389l_bool: fun_fu418465139l_bool ).
tff(func_def_66,type,
ord_le675606854l_bool: fun_fu1911931399l_bool ).
tff(func_def_67,type,
ord_le1454342156l_bool: fun_fu140186515l_bool ).
tff(func_def_68,type,
ord_le967226251l_bool: fun_fu821736593l_bool ).
tff(func_def_69,type,
ord_le1375671464l_bool: fun_fu1086940979l_bool ).
tff(func_def_70,type,
ord_le65145710l_bool: fun_fu1137991347l_bool ).
tff(func_def_71,type,
collect_a: fun_a_bool > fun_a_bool ).
tff(func_def_72,type,
collect_pname: fun_pname_bool > fun_pname_bool ).
tff(func_def_73,type,
collect_nat: fun_nat_bool > fun_nat_bool ).
tff(func_def_74,type,
collect_fun_a_bool: fun_fun_a_bool_bool > fun_fun_a_bool_bool ).
tff(func_def_75,type,
collec1974731493e_bool: fun_fu1430349052l_bool > fun_fu1430349052l_bool ).
tff(func_def_76,type,
collect_fun_nat_bool: fun_fu425979586l_bool > fun_fu425979586l_bool ).
tff(func_def_77,type,
collec707592106l_bool: fun_fu885608257l_bool > fun_fu885608257l_bool ).
tff(func_def_78,type,
collec1613912337l_bool: fun_fu399576434l_bool > fun_fu399576434l_bool ).
tff(func_def_79,type,
collec1015864663l_bool: fun_fu814369080l_bool > fun_fu814369080l_bool ).
tff(func_def_80,type,
collec1635217238l_bool: fun_fu255076663l_bool > fun_fu255076663l_bool ).
tff(func_def_81,type,
collec792590109l_bool: fun_fu1438281908l_bool > fun_fu1438281908l_bool ).
tff(func_def_82,type,
collec1874991203l_bool: fun_fu61768826l_bool > fun_fu61768826l_bool ).
tff(func_def_83,type,
image_a_a: ( fun_a_bool * fun_a_a ) > fun_a_bool ).
tff(func_def_84,type,
image_a_pname: ( fun_a_bool * fun_a_pname ) > fun_pname_bool ).
tff(func_def_85,type,
image_a_nat: ( fun_a_bool * fun_a_nat ) > fun_nat_bool ).
tff(func_def_86,type,
image_pname_a: ( fun_pname_bool * fun_pname_a ) > fun_a_bool ).
tff(func_def_87,type,
image_pname_pname: ( fun_pname_bool * fun_pname_pname ) > fun_pname_bool ).
tff(func_def_88,type,
image_pname_nat: ( fun_pname_bool * fun_pname_nat ) > fun_nat_bool ).
tff(func_def_89,type,
image_112932426a_bool: ( fun_pname_bool * fun_pname_fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_90,type,
image_47868345e_bool: ( fun_pname_bool * fun_pn800050071e_bool ) > fun_fu1430349052l_bool ).
tff(func_def_91,type,
image_2129980159t_bool: ( fun_pname_bool * fun_pn406123357t_bool ) > fun_fu425979586l_bool ).
tff(func_def_92,type,
image_1420695166l_bool: ( fun_pname_bool * fun_pn1038293468l_bool ) > fun_fu885608257l_bool ).
tff(func_def_93,type,
image_1642285373l_bool: ( fun_pname_bool * fun_pn422929397l_bool ) > fun_fu399576434l_bool ).
tff(func_def_94,type,
image_1154884483l_bool: ( fun_pname_bool * fun_pn1165013435l_bool ) > fun_fu814369080l_bool ).
tff(func_def_95,type,
image_nat_a: ( fun_nat_bool * fun_nat_a ) > fun_a_bool ).
tff(func_def_96,type,
image_nat_pname: ( fun_nat_bool * fun_nat_pname ) > fun_pname_bool ).
tff(func_def_97,type,
image_nat_fun_a_bool: ( fun_nat_bool * fun_nat_fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_98,type,
image_1655916159e_bool: ( fun_nat_bool * fun_na936072029e_bool ) > fun_fu1430349052l_bool ).
tff(func_def_99,type,
image_26036933t_bool: ( fun_nat_bool * fun_nat_fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_100,type,
image_1208015684l_bool: ( fun_nat_bool * fun_na1632405922l_bool ) > fun_fu885608257l_bool ).
tff(func_def_101,type,
image_1874789623l_bool: ( fun_nat_bool * fun_na2122364079l_bool ) > fun_fu399576434l_bool ).
tff(func_def_102,type,
image_1607900221l_bool: ( fun_nat_bool * fun_na1436237685l_bool ) > fun_fu814369080l_bool ).
tff(func_def_103,type,
image_fun_a_bool_a: ( fun_fun_a_bool_bool * fun_fun_a_bool_a ) > fun_a_bool ).
tff(func_def_104,type,
image_1854862208_pname: ( fun_fun_a_bool_bool * fun_fun_a_bool_pname ) > fun_pname_bool ).
tff(func_def_105,type,
image_fun_a_bool_nat: ( fun_fun_a_bool_bool * fun_fun_a_bool_nat ) > fun_nat_bool ).
tff(func_def_106,type,
image_876012084bool_a: ( fun_fu1430349052l_bool * fun_fun_pname_bool_a ) > fun_a_bool ).
tff(func_def_107,type,
image_1283814551_pname: ( fun_fu1430349052l_bool * fun_fu1499449723_pname ) > fun_pname_bool ).
tff(func_def_108,type,
image_1551609309ol_nat: ( fun_fu1430349052l_bool * fun_fu1668467777ol_nat ) > fun_nat_bool ).
tff(func_def_109,type,
image_fun_nat_bool_a: ( fun_fu425979586l_bool * fun_fun_nat_bool_a ) > fun_a_bool ).
tff(func_def_110,type,
image_1921560913_pname: ( fun_fu425979586l_bool * fun_fu665170229_pname ) > fun_pname_bool ).
tff(func_def_111,type,
image_496248727ol_nat: ( fun_fu425979586l_bool * fun_fun_nat_bool_nat ) > fun_nat_bool ).
tff(func_def_112,type,
image_573985017bool_a: ( fun_fu885608257l_bool * fun_fu1373417771bool_a ) > fun_a_bool ).
tff(func_def_113,type,
image_990671762_pname: ( fun_fu885608257l_bool * fun_fu1175941238_pname ) > fun_pname_bool ).
tff(func_def_114,type,
image_1802975832ol_nat: ( fun_fu885608257l_bool * fun_fu2020802748ol_nat ) > fun_nat_bool ).
tff(func_def_115,type,
image_349102846bool_a: ( fun_fu399576434l_bool * fun_fu2061654492bool_a ) > fun_a_bool ).
tff(func_def_116,type,
image_1705983821_pname: ( fun_fu399576434l_bool * fun_fu1664106117_pname ) > fun_pname_bool ).
tff(func_def_117,type,
image_1079571347ol_nat: ( fun_fu399576434l_bool * fun_fu1730389579ol_nat ) > fun_nat_bool ).
tff(func_def_118,type,
image_526090948bool_a: ( fun_fu814369080l_bool * fun_fu897950882bool_a ) > fun_a_bool ).
tff(func_def_119,type,
image_1604018183_pname: ( fun_fu814369080l_bool * fun_fu881587263_pname ) > fun_pname_bool ).
tff(func_def_120,type,
image_2089570637ol_nat: ( fun_fu814369080l_bool * fun_fu411113733ol_nat ) > fun_nat_bool ).
tff(func_def_121,type,
insert_a: ( fun_a_bool * x_a ) > fun_a_bool ).
tff(func_def_122,type,
insert_pname: ( fun_pname_bool * pname ) > fun_pname_bool ).
tff(func_def_123,type,
insert_nat: ( fun_nat_bool * nat ) > fun_nat_bool ).
tff(func_def_124,type,
insert_fun_a_bool: ( fun_fun_a_bool_bool * fun_a_bool ) > fun_fun_a_bool_bool ).
tff(func_def_125,type,
insert1325755072e_bool: ( fun_fu1430349052l_bool * fun_pname_bool ) > fun_fu1430349052l_bool ).
tff(func_def_126,type,
insert_fun_nat_bool: ( fun_fu425979586l_bool * fun_nat_bool ) > fun_fu425979586l_bool ).
tff(func_def_127,type,
insert1457093509l_bool: ( fun_fu885608257l_bool * fun_fun_a_bool_bool ) > fun_fu885608257l_bool ).
tff(func_def_128,type,
insert1117693814l_bool: ( fun_fu399576434l_bool * fun_fu1430349052l_bool ) > fun_fu399576434l_bool ).
tff(func_def_129,type,
insert2003652156l_bool: ( fun_fu814369080l_bool * fun_fu425979586l_bool ) > fun_fu814369080l_bool ).
tff(func_def_130,type,
fNot: fun_bool_bool ).
tff(func_def_131,type,
fconj: fun_bo1549164019l_bool ).
tff(func_def_132,type,
fdisj: fun_bo1549164019l_bool ).
tff(func_def_133,type,
fequal_a: fun_a_fun_a_bool ).
tff(func_def_134,type,
fequal_pname: fun_pn800050071e_bool ).
tff(func_def_135,type,
fequal_nat: fun_nat_fun_nat_bool ).
tff(func_def_136,type,
fequal_fun_a_bool: fun_fu1471507361l_bool ).
tff(func_def_137,type,
fequal533582459e_bool: fun_fu802393907l_bool ).
tff(func_def_138,type,
fequal_fun_nat_bool: fun_fu1217155507l_bool ).
tff(func_def_139,type,
fimplies: fun_bo1549164019l_bool ).
tff(func_def_140,type,
hAPP_a_bool: ( x_a * fun_a_bool ) > bool ).
tff(func_def_141,type,
hAPP_a_fun_a_bool: ( x_a * fun_a_fun_a_bool ) > fun_a_bool ).
tff(func_def_142,type,
hAPP_a93125764e_bool: ( x_a * fun_a_fun_pname_bool ) > fun_pname_bool ).
tff(func_def_143,type,
hAPP_a_fun_bool_bool: ( x_a * fun_a_fun_bool_bool ) > fun_bool_bool ).
tff(func_def_144,type,
hAPP_a85458249l_bool: ( x_a * fun_a_1255737515l_bool ) > fun_fun_a_bool_bool ).
tff(func_def_145,type,
hAPP_pname_a: ( pname * fun_pname_a ) > x_a ).
tff(func_def_146,type,
hAPP_pname_bool: ( pname * fun_pname_bool ) > bool ).
tff(func_def_147,type,
hAPP_p1534023578a_bool: ( pname * fun_pname_fun_a_bool ) > fun_a_bool ).
tff(func_def_148,type,
hAPP_p61793385e_bool: ( pname * fun_pn800050071e_bool ) > fun_pname_bool ).
tff(func_def_149,type,
hAPP_p393069232l_bool: ( pname * fun_pn250273176l_bool ) > fun_bool_bool ).
tff(func_def_150,type,
hAPP_p338031245l_bool: ( pname * fun_pn422929397l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_151,type,
hAPP_bool_bool: ( bool * fun_bool_bool ) > bool ).
tff(func_def_152,type,
hAPP_b589554111l_bool: ( bool * fun_bo1549164019l_bool ) > fun_bool_bool ).
tff(func_def_153,type,
hAPP_nat_bool: ( nat * fun_nat_bool ) > bool ).
tff(func_def_154,type,
hAPP_nat_nat: ( nat * fun_nat_nat ) > nat ).
tff(func_def_155,type,
hAPP_nat_fun_a_bool: ( nat * fun_nat_fun_a_bool ) > fun_a_bool ).
tff(func_def_156,type,
hAPP_n1025906991e_bool: ( nat * fun_na936072029e_bool ) > fun_pname_bool ).
tff(func_def_157,type,
hAPP_n1006566506l_bool: ( nat * fun_na1469252690l_bool ) > fun_bool_bool ).
tff(func_def_158,type,
hAPP_n1699378549t_bool: ( nat * fun_nat_fun_nat_bool ) > fun_nat_bool ).
tff(func_def_159,type,
hAPP_n215258509l_bool: ( nat * fun_na1436237685l_bool ) > fun_fu425979586l_bool ).
tff(func_def_160,type,
hAPP_fun_a_bool_bool: ( fun_a_bool * fun_fun_a_bool_bool ) > bool ).
tff(func_def_161,type,
hAPP_fun_a_bool_nat: ( fun_a_bool * fun_fun_a_bool_nat ) > nat ).
tff(func_def_162,type,
hAPP_f2050579477a_bool: ( fun_a_bool * fun_fu1731003005a_bool ) > fun_a_bool ).
tff(func_def_163,type,
hAPP_f198738859l_bool: ( fun_a_bool * fun_fu554186387l_bool ) > fun_bool_bool ).
tff(func_def_164,type,
hAPP_f1631501043l_bool: ( fun_a_bool * fun_fu1471507361l_bool ) > fun_fun_a_bool_bool ).
tff(func_def_165,type,
hAPP_f285962445l_bool: ( fun_a_bool * fun_fu386216885l_bool ) > fun_fu885608257l_bool ).
tff(func_def_166,type,
hAPP_f1664156314l_bool: ( fun_pname_bool * fun_fu1430349052l_bool ) > bool ).
tff(func_def_167,type,
hAPP_f921600141ol_nat: ( fun_pname_bool * fun_fu1668467777ol_nat ) > nat ).
tff(func_def_168,type,
hAPP_f759274231e_bool: ( fun_pname_bool * fun_fu410713561e_bool ) > fun_pname_bool ).
tff(func_def_169,type,
hAPP_f1476298914l_bool: ( fun_pname_bool * fun_fu31783638l_bool ) > fun_bool_bool ).
tff(func_def_170,type,
hAPP_f434788991l_bool: ( fun_pname_bool * fun_fu802393907l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_171,type,
hAPP_f556039215l_bool: ( fun_pname_bool * fun_fu931343505l_bool ) > fun_fu399576434l_bool ).
tff(func_def_172,type,
hAPP_f54304608l_bool: ( fun_nat_bool * fun_fu425979586l_bool ) > bool ).
tff(func_def_173,type,
hAPP_f22106695ol_nat: ( fun_nat_bool * fun_fun_nat_bool_nat ) > nat ).
tff(func_def_174,type,
hAPP_f1748468828l_bool: ( fun_nat_bool * fun_fu1016514960l_bool ) > fun_bool_bool ).
tff(func_def_175,type,
hAPP_f800510211t_bool: ( fun_nat_bool * fun_fu821463397t_bool ) > fun_nat_bool ).
tff(func_def_176,type,
hAPP_f103356543l_bool: ( fun_nat_bool * fun_fu1217155507l_bool ) > fun_fu425979586l_bool ).
tff(func_def_177,type,
hAPP_f1951378235l_bool: ( fun_nat_bool * fun_fu1436348701l_bool ) > fun_fu814369080l_bool ).
tff(func_def_178,type,
hAPP_f621171935l_bool: ( fun_fun_a_bool_bool * fun_fu885608257l_bool ) > bool ).
tff(func_def_179,type,
hAPP_f2009550088ol_nat: ( fun_fun_a_bool_bool * fun_fu2020802748ol_nat ) > nat ).
tff(func_def_180,type,
hAPP_f2117159681l_bool: ( fun_fun_a_bool_bool * fun_fu911136611l_bool ) > fun_fun_a_bool_bool ).
tff(func_def_181,type,
hAPP_f1434722111l_bool: ( fun_fun_a_bool_bool * fun_fu418465139l_bool ) > fun_fu885608257l_bool ).
tff(func_def_182,type,
hAPP_f1935102916l_bool: ( fun_fu1430349052l_bool * fun_fu399576434l_bool ) > bool ).
tff(func_def_183,type,
hAPP_f55526627ol_nat: ( fun_fu1430349052l_bool * fun_fu1730389579ol_nat ) > nat ).
tff(func_def_184,type,
hAPP_f559147733l_bool: ( fun_fu1430349052l_bool * fun_fu2087345469l_bool ) > fun_fu1430349052l_bool ).
tff(func_def_185,type,
hAPP_f510955609l_bool: ( fun_fu1430349052l_bool * fun_fu1911931399l_bool ) > fun_fu399576434l_bool ).
tff(func_def_186,type,
hAPP_f1637334154l_bool: ( fun_fu425979586l_bool * fun_fu814369080l_bool ) > bool ).
tff(func_def_187,type,
hAPP_f696928925ol_nat: ( fun_fu425979586l_bool * fun_fu411113733ol_nat ) > nat ).
tff(func_def_188,type,
hAPP_f1246832597l_bool: ( fun_fu425979586l_bool * fun_fu616551101l_bool ) > fun_fu425979586l_bool ).
tff(func_def_189,type,
hAPP_f1772781669l_bool: ( fun_fu425979586l_bool * fun_fu140186515l_bool ) > fun_fu814369080l_bool ).
tff(func_def_190,type,
hAPP_f292226953l_bool: ( fun_fu885608257l_bool * fun_fu255076663l_bool ) > bool ).
tff(func_def_191,type,
hAPP_f1253658590ol_nat: ( fun_fu885608257l_bool * fun_fu48515398ol_nat ) > nat ).
tff(func_def_192,type,
hAPP_f1050622307l_bool: ( fun_fu885608257l_bool * fun_fu821736593l_bool ) > fun_fu255076663l_bool ).
tff(func_def_193,type,
hAPP_f389811538l_bool: ( fun_fu399576434l_bool * fun_fu1438281908l_bool ) > bool ).
tff(func_def_194,type,
hAPP_f98387925ol_nat: ( fun_fu399576434l_bool * fun_fu1701008009ol_nat ) > nat ).
tff(func_def_195,type,
hAPP_f1759205631l_bool: ( fun_fu399576434l_bool * fun_fu1086940979l_bool ) > fun_fu1438281908l_bool ).
tff(func_def_196,type,
hAPP_f937997336l_bool: ( fun_fu814369080l_bool * fun_fu61768826l_bool ) > bool ).
tff(func_def_197,type,
hAPP_f1690079119ol_nat: ( fun_fu814369080l_bool * fun_fu1297083715ol_nat ) > nat ).
tff(func_def_198,type,
hAPP_f760187903l_bool: ( fun_fu814369080l_bool * fun_fu1137991347l_bool ) > fun_fu61768826l_bool ).
tff(func_def_199,type,
hAPP_f1363661463l_bool: ( fun_fu255076663l_bool * fun_fu754241017l_bool ) > bool ).
tff(func_def_200,type,
hAPP_f595608956l_bool: ( fun_fu1438281908l_bool * fun_fu2065874474l_bool ) > bool ).
tff(func_def_201,type,
hAPP_f1295398978l_bool: ( fun_fu61768826l_bool * fun_fu1971389424l_bool ) > bool ).
tff(func_def_202,type,
member_a: fun_a_1255737515l_bool ).
tff(func_def_203,type,
member_pname: fun_pn422929397l_bool ).
tff(func_def_204,type,
member_nat: fun_na1436237685l_bool ).
tff(func_def_205,type,
member_fun_a_bool: fun_fu386216885l_bool ).
tff(func_def_206,type,
member799430823e_bool: fun_fu931343505l_bool ).
tff(func_def_207,type,
member_fun_nat_bool: fun_fu1436348701l_bool ).
tff(func_def_208,type,
g: fun_a_bool ).
tff(func_def_209,type,
p: fun_a_bool > fun_fun_a_bool_bool ).
tff(func_def_210,type,
u: fun_pname_bool ).
tff(func_def_211,type,
mgt_call: fun_pname_a ).
tff(func_def_212,type,
na: nat ).
tff(func_def_213,type,
pn: pname ).
tff(func_def_214,type,
sK0: ( fun_a_bool * ( fun_pname_bool * fun_pname_a ) ) > fun_pname_bool ).
tff(func_def_215,type,
sK1: fun_nat_fun_nat_bool > nat ).
tff(func_def_216,type,
sK2: fun_na936072029e_bool > nat ).
tff(func_def_217,type,
sK3: fun_nat_nat > nat ).
tff(func_def_218,type,
sK4: fun_nat_fun_a_bool > nat ).
tff(func_def_219,type,
sK5: ( fun_pname_bool * fun_pname_a ) > pname ).
tff(func_def_220,type,
sK6: ( fun_pname_bool * ( fun_pname_a * x_a ) ) > pname ).
tff(func_def_221,type,
sK7: ( fun_pname_bool * ( fun_pname_a * fun_a_bool ) ) > fun_pname_bool ).
tff(func_def_222,type,
sK8: ( fun_pname_bool * ( fun_pname_a * x_a ) ) > pname ).
tff(func_def_223,type,
sK9: ( fun_nat_bool * fun_nat_bool ) > nat ).
tff(func_def_224,type,
sK10: ( fun_a_bool * fun_a_bool ) > x_a ).
tff(func_def_225,type,
sK11: ( fun_pname_bool * fun_pname_bool ) > pname ).
tff(func_def_226,type,
sK12: fun_nat_bool > nat ).
tff(func_def_227,type,
sK13: nat > nat ).
tff(func_def_228,type,
sK14: ( fun_pname_bool * ( fun_a_bool * fun_pname_a ) ) > pname ).
tff(func_def_229,type,
sK15: ( nat * fun_nat_bool ) > nat ).
tff(func_def_230,type,
sK16: fun_nat_bool > nat ).
tff(f194,axiom,
! [X0: pname,X1: fun_pname_bool] : ( insert_pname(X0,X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_insert__compr) ).
tff(f195,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_194_insert__compr) ).
tff(f284,axiom,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_insert__mono) ).
tff(f285,axiom,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] : ( image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_284_image__insert) ).
tff(f286,axiom,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
=> ( insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) = image_pname_a(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_285_insert__image) ).
tff(f363,axiom,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
tff(f366,axiom,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f368,conjecture,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
tff(f369,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(negated_conjecture,[status(cth)],[f368]) ).
tff(f370,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(flattening,[],[f369]) ).
tff(f642,plain,
! [X0: x_a,X1: fun_a_bool,X2: fun_a_bool] :
( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X1),X2))
| hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2))) ),
inference(ennf_transformation,[],[f284]) ).
tff(f643,plain,
! [X0: fun_pname_a,X1: pname,X2: fun_pname_bool] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ( insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) = image_pname_a(X0,X2) ) ),
inference(ennf_transformation,[],[f286]) ).
tff(f970,plain,
! [X0: pname,X1: fun_pname_bool] : ( insert_pname(X0,X1) = collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X1))) ),
inference(cnf_transformation,[],[f194]) ).
tff(f971,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,[],[f195]) ).
tff(f1098,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_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X0,X1)),insert_a(X0,X2))) ),
inference(cnf_transformation,[],[f642]) ).
tff(f1099,plain,
! [X2: fun_pname_bool,X0: fun_pname_a,X1: pname] : ( image_pname_a(X0,insert_pname(X1,X2)) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) ),
inference(cnf_transformation,[],[f285]) ).
tff(f1100,plain,
! [X2: fun_pname_bool,X0: fun_pname_a,X1: pname] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ( image_pname_a(X0,X2) = insert_a(hAPP_pname_a(X0,X1),image_pname_a(X0,X2)) ) ),
inference(cnf_transformation,[],[f643]) ).
tff(f1187,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f363]) ).
tff(f1190,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f366]) ).
tff(f1192,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(hAPP_pname_a(mgt_call,pn),g)),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f370]) ).
tff(f1318,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_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)))),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),X2))))) ),
inference(definition_unfolding,[],[f1098,f971,f971]) ).
tff(f1319,plain,
! [X2: fun_pname_bool,X0: fun_pname_a,X1: pname] : ( image_pname_a(X0,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X1)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X2)))) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X0,X1))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X0,X2)))) ),
inference(definition_unfolding,[],[f1099,f970,f971]) ).
tff(f1320,plain,
! [X2: fun_pname_bool,X0: fun_pname_a,X1: pname] :
( ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X1),X2))
| ( image_pname_a(X0,X2) = collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X0,X1))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X0,X2)))) ) ),
inference(definition_unfolding,[],[f1100,f971]) ).
tff(f1321,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,[],[f1192,f971]) ).
tcf(c_400,plain,
! [X0_x_a: x_a,X0_fun_a_bool: fun_a_bool,X1_fun_a_bool: fun_a_bool] :
( 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_x_a)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_fun_a_bool)))),collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),X0_x_a)),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X1_fun_a_bool)))))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_fun_a_bool),X1_fun_a_bool)) ),
inference(cnf_transformation,[],[f1318]) ).
tcf(c_401,plain,
! [X0_pname: pname,X0_fun_pname_a: fun_pname_a,X0_fun_pname_bool: fun_pname_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(X0_fun_pname_a,X0_pname))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X0_fun_pname_a,X0_fun_pname_bool)))) = image_pname_a(X0_fun_pname_a,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0_pname)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X0_fun_pname_bool)))),
inference(cnf_transformation,[],[f1319]) ).
tcf(c_402,plain,
! [X0_pname: pname,X0_fun_pname_a: fun_pname_a,X0_fun_pname_bool: fun_pname_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(X0_fun_pname_a,X0_pname))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X0_fun_pname_a,X0_fun_pname_bool)))) = image_pname_a(X0_fun_pname_a,X0_fun_pname_bool) )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X0_pname),X0_fun_pname_bool)) ),
inference(cnf_transformation,[],[f1320]) ).
tcf(c_489,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnf_transformation,[],[f1187]) ).
tcf(c_492,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnf_transformation,[],[f1190]) ).
tcf(c_494,negated_conjecture,
~ 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(cnf_transformation,[],[f1321]) ).
tcf(c_696,plain,
! [X0_fun_pname_a: fun_pname_a] : collect_a(cOMBS_a_bool_bool(cOMBB_1972296269bool_a(fdisj,hAPP_a_fun_a_bool(cOMBC_a_a_bool(fequal_a),hAPP_pname_a(X0_fun_pname_a,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),image_pname_a(X0_fun_pname_a,u)))) = image_pname_a(X0_fun_pname_a,u),
inference(superposition,[status(thm)],[c_492,c_402]) ).
tcf(c_713,plain,
! [X0_pname: pname,X0_fun_a_bool: fun_a_bool,X0_fun_pname_a: fun_pname_a,X0_fun_pname_bool: fun_pname_bool] :
( 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(X0_fun_pname_a,X0_pname))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_fun_a_bool)))),image_pname_a(X0_fun_pname_a,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),X0_pname)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),X0_fun_pname_bool))))))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_fun_a_bool),image_pname_a(X0_fun_pname_a,X0_fun_pname_bool))) ),
inference(superposition,[status(thm)],[c_401,c_400]) ).
tcf(c_945,plain,
! [X0_fun_pname_a: fun_pname_a] : image_pname_a(X0_fun_pname_a,collect_pname(cOMBS_568398431l_bool(cOMBB_675860798_pname(fdisj,hAPP_p61793385e_bool(cOMBC_1149511130e_bool(fequal_pname),pn)),hAPP_f759274231e_bool(cOMBC_1058051404l_bool(member_pname),u)))) = image_pname_a(X0_fun_pname_a,u),
inference(demodulation,[status(thm)],[c_696,c_401]) ).
tcf(c_1073,plain,
! [X0_fun_a_bool: fun_a_bool,X0_fun_pname_a: fun_pname_a] :
( 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(X0_fun_pname_a,pn))),hAPP_f2050579477a_bool(cOMBC_1355376034l_bool(member_a),X0_fun_a_bool)))),image_pname_a(X0_fun_pname_a,u)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,X0_fun_a_bool),image_pname_a(X0_fun_pname_a,u))) ),
inference(superposition,[status(thm)],[c_945,c_713]) ).
tcf(c_1081,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)))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))) ),
inference(instantiation,[status(thm)],[c_1073]) ).
tcf(c_1082,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_1081,c_494,c_489]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW473_1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n013.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Thu Sep 24 22:32:51 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.36 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.13/0.40 Running first-order theorem proving
% 0.13/0.40 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41
% 0.13/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.13/0.41
% 0.13/0.41 % Detected problem language: tptp
% 0.13/0.42 % Proving...
% 3.39/1.19 % SZS status Started for theBenchmark.p
% 3.39/1.19 % SZS status Theorem for theBenchmark.p
% 3.39/1.19
% 3.39/1.19 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.39/1.19
% 3.39/1.19 % ------ iProver source info
% 3.39/1.19
% 3.39/1.19 % git: date: 2026-07-19 20:42:38 +0200
% 3.39/1.19 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.39/1.19 % git: non_committed_changes: false
% 3.39/1.19
% 3.39/1.19 % ------ Parsing...
% 3.39/1.19 % ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.39/1.19 % ------ Proving...
% 3.39/1.19 % ------ Problem Properties
% 3.39/1.19
% 3.39/1.19 %
% 3.39/1.19 % clauses 446
% 3.39/1.19 % conjectures 1
% 3.39/1.19 % EPR 0
% 3.39/1.19 % Horn 399
% 3.39/1.19 % unary 121
% 3.39/1.19 % binary 211
% 3.39/1.19 % lits 897
% 3.39/1.19 % lits eq 139
% 3.39/1.19 % fd_pure 0
% 3.39/1.19 % fd_pseudo 0
% 3.39/1.19 % fd_cond 0
% 3.39/1.19 % fd_pseudo_cond 36
% 3.39/1.19 % AC symbols 0
% 3.39/1.19
% 3.39/1.19 % ------ Input Options Time Limit: Unbounded
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 % ------
% 3.39/1.19 % Current options:
% 3.39/1.19 % ------
% 3.39/1.19
% 3.39/1.19
% 3.39/1.19 %
% 3.39/1.19
% 3.39/1.19 % ------ Proving...
% 3.39/1.19 %
% 3.39/1.19
% 3.39/1.19 % SZS status Theorem for theBenchmark.p
% 3.39/1.19
% 3.39/1.19 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.39/1.19
% 3.39/1.19
%------------------------------------------------------------------------------