TSTP Solution File: SWW473+2 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:07:25 EDT 2023
% Result : Theorem 260.82s 227.43s
% Output : CNFRefutation 260.98s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 431
% Syntax : Number of formulae : 455 ( 22 unt; 419 typ; 0 def)
% Number of atoms : 58 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 21 ~; 13 |; 1 &)
% ( 1 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 693 ( 358 >; 335 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 411 ( 411 usr; 61 con; 0-3 aty)
% Number of variables : 30 (; 30 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ is_pname > is_fun_pname_bool > is_fun_a_bool > is_fun949378684l_bool > is_fun1661590463l_bool > is_bool > is_a > hBOOL > nat_case_bool > insert_pname > insert_nat > insert_fun_nat_bool > insert_fun_a_bool > insert_a > insert1325755072e_bool > image_pname_pname > image_pname_nat > image_pname_a > image_nat_pname > image_nat_nat > image_nat_fun_a_bool > image_nat_a > image_fun_nat_bool_a > image_fun_a_bool_nat > image_fun_a_bool_a > image_a_pname > image_a_nat > image_a_fun_nat_bool > image_a_fun_a_bool > image_a_a > image_876012084bool_a > image_819518260e_bool > image_496248727ol_nat > image_47868345e_bool > image_26036933t_bool > image_2129980159t_bool > image_1921560913_pname > image_1854862208_pname > image_1655916159e_bool > image_1551609309ol_nat > image_1283814551_pname > image_112932426a_bool > hAPP_pname_pname > hAPP_pname_nat > hAPP_pname_bool > hAPP_pname_a > hAPP_p61793385e_bool > hAPP_p393069232l_bool > hAPP_p338031245l_bool > hAPP_p1824510254l_bool > hAPP_p1534023578a_bool > hAPP_p1499970991t_bool > hAPP_p130839763l_bool > hAPP_nat_pname > hAPP_nat_nat > hAPP_nat_fun_a_bool > hAPP_nat_bool > hAPP_nat_a > hAPP_n850744903l_bool > hAPP_n215258509l_bool > hAPP_n1699378549t_bool > hAPP_n1414589940l_bool > hAPP_n1025906991e_bool > hAPP_n1006566506l_bool > hAPP_fun_a_bool_nat > hAPP_fun_a_bool_bool > hAPP_f937997336l_bool > hAPP_f921600141ol_nat > hAPP_f800510211t_bool > hAPP_f759274231e_bool > hAPP_f696928925ol_nat > hAPP_f654413245e_bool > hAPP_f621171935l_bool > hAPP_f559147733l_bool > hAPP_f556039215l_bool > hAPP_f55526627ol_nat > hAPP_f54304608l_bool > hAPP_f510955609l_bool > hAPP_f434788991l_bool > hAPP_f389811538l_bool > hAPP_f292226953l_bool > hAPP_f285962445l_bool > hAPP_f282463732t_bool > hAPP_f22106695ol_nat > hAPP_f2117159681l_bool > hAPP_f2050579477a_bool > hAPP_f2009550088ol_nat > hAPP_f198738859l_bool > hAPP_f1951378235l_bool > hAPP_f1935102916l_bool > hAPP_f1794073134e_bool > hAPP_f1772781669l_bool > hAPP_f1748468828l_bool > hAPP_f1664156314l_bool > hAPP_f1637334154l_bool > hAPP_f1631501043l_bool > hAPP_f1549043526a_bool > hAPP_f1476298914l_bool > hAPP_f1434722111l_bool > hAPP_f1297739591_pname > hAPP_f1291551745_pname > hAPP_f1246832597l_bool > hAPP_f1128469712_pname > hAPP_f1066163005t_bool > hAPP_f1051908748a_bool > hAPP_f103356543l_bool > hAPP_bool_bool > hAPP_b589554111l_bool > hAPP_a_pname > hAPP_a_nat > hAPP_a_fun_nat_bool > hAPP_a_fun_bool_bool > hAPP_a_fun_a_bool > hAPP_a_bool > hAPP_a_a > hAPP_a93125764e_bool > hAPP_a85458249l_bool > hAPP_a217006258l_bool > hAPP_a1392362872l_bool > fun > cOMBS_nat_bool_bool > cOMBS_a_bool_bool > cOMBS_568398431l_bool > cOMBS_350070575l_bool > cOMBS_1187019125l_bool > cOMBS_1035972772l_bool > cOMBB_bool_bool_nat > cOMBB_bool_bool_a > cOMBB_a_fun_a_bool_a > cOMBB_928955006_pname > cOMBB_800536526ol_nat > cOMBB_743407885bool_a > cOMBB_675860798_pname > cOMBB_647938656_pname > cOMBB_610033911bool_a > cOMBB_598082538e_bool > cOMBB_542850580_pname > cOMBB_523834888_pname > cOMBB_472261505bool_a > cOMBB_444170502t_bool > cOMBB_408569982_pname > cOMBB_392435466_pname > cOMBB_338059395a_bool > cOMBB_307249310e_bool > cOMBB_238756964t_bool > cOMBB_2140588453a_bool > cOMBB_2117322052ol_nat > cOMBB_2095475776e_bool > cOMBB_2026977092ol_nat > cOMBB_1972296269bool_a > cOMBB_1897541054_pname > cOMBB_1896684278e_bool > cOMBB_1885489796ol_nat > cOMBB_1823939024ol_nat > cOMBB_1693087065a_bool > cOMBB_164527437a_bool > cOMBB_141086128t_bool > cOMBB_1321347587bool_a > cOMBB_1250273980t_bool > cOMBB_1212655066ol_nat > cOMBB_1137537805bool_a > cOMBB_1015721476ol_nat > #nlpp > wt > undefined_pname > undefined_fun_a_bool > undefined_a > undefi64961550l_bool > undefi17486888e_bool > undefi1699038445l_bool > the_com > plus_plus_nat > p > minus_minus_nat > mgt > collect_pname > collect_nat > collect_fun_nat_bool > collect_fun_a_bool > collect_a > collec707592106l_bool > collec1974731493e_bool > collec1613912337l_bool > collec1015864663l_bool > cOMBK_bool_pname > cOMBK_bool_nat > cOMBK_bool_a > cOMBK_a_pname > cOMBK_324466864a_bool > cOMBK_1994329625t_bool > cOMBK_1857069011e_bool > cOMBC_pname_nat_bool > cOMBC_pname_a_bool > cOMBC_nat_pname_bool > cOMBC_nat_nat_bool > cOMBC_nat_a_bool > cOMBC_a_pname_bool > cOMBC_a_nat_bool > cOMBC_a_a_bool > cOMBC_7971162l_bool > cOMBC_777206479l_bool > cOMBC_619334683t_bool > cOMBC_615407716e_bool > cOMBC_595898202l_bool > cOMBC_445755039l_bool > cOMBC_386238098l_bool > cOMBC_385542954t_bool > cOMBC_331553030l_bool > cOMBC_267053842l_bool > cOMBC_226598744l_bool > cOMBC_1988546018l_bool > cOMBC_1928494297l_bool > cOMBC_1880041174l_bool > cOMBC_1834145417l_bool > cOMBC_1738168533e_bool > cOMBC_1732670874l_bool > cOMBC_1693257480l_bool > cOMBC_1666426608t_bool > cOMBC_1355376034l_bool > cOMBC_1284144636l_bool > cOMBC_1245412066l_bool > cOMBC_1149511130e_bool > cOMBC_1058051404l_bool > cOMBC_1004116266e_bool > body > zero_zero_nat > x_a > u > suc > pname > pn > ord_less_nat > ord_less_eq_nat > ord_less_eq_bool > ord_le675606854l_bool > ord_le313189616e_bool > ord_le1568362934t_bool > ord_le1454342156l_bool > ord_le1375614389l_bool > ord_le1311769555a_bool > one_one_nat > na > mgt_call > member_pname > member_nat > member_fun_nat_bool > member_fun_a_bool > member_a > member799430823e_bool > g > finite_finite_pname > finite_finite_nat > finite_finite_a > finite_card_pname > finite_card_nat > finite_card_a > finite786885583l_bool > finite595471783e_bool > finite347923420a_bool > finite346522414t_bool > finite2012431853t_bool > finite1701474069l_bool > finite1381704300l_bool > finite1340463720e_bool > finite1306199131a_bool > fimplies > fequal_pname > fequal_nat > fequal_fun_nat_bool > fequal_fun_a_bool > fequal_a > fequal533582459e_bool > fdisj > fconj > fTrue > fNot > fFalse > bot_bot_nat > bot_bot_fun_nat_bool > bot_bot_fun_a_bool > bot_bot_bool > bot_bo844097828e_bool > bot_bo1701429464l_bool > bot_bo1649642514l_bool > bot_bo1389914601l_bool > bool > #skF_62 > #skF_13 > #skF_91 > #skF_108 > #skF_114 > #skF_32 > #skF_47 > #skF_26 > #skF_24 > #skF_131 > #skF_106 > #skF_37 > #skF_35 > #skF_64 > #skF_130 > #skF_110 > #skF_41 > #skF_17 > #skF_31 > #skF_57 > #skF_1 > #skF_129 > #skF_56 > #skF_63 > #skF_113 > #skF_111 > #skF_6 > #skF_44 > #skF_27 > #skF_122 > #skF_127 > #skF_101 > #skF_103 > #skF_53 > #skF_18 > #skF_48 > #skF_45 > #skF_72 > #skF_67 > #skF_22 > #skF_97 > #skF_12 > #skF_70 > #skF_66 > #skF_82 > #skF_115 > #skF_100 > #skF_121 > #skF_38 > #skF_4 > #skF_78 > #skF_124 > #skF_69 > #skF_29 > #skF_34 > #skF_77 > #skF_74 > #skF_93 > #skF_98 > #skF_30 > #skF_68 > #skF_109 > #skF_23 > #skF_107 > #skF_33 > #skF_5 > #skF_49 > #skF_19 > #skF_65 > #skF_84 > #skF_54 > #skF_2 > #skF_42 > #skF_112 > #skF_92 > #skF_80 > #skF_51 > #skF_11 > #skF_36 > #skF_90 > #skF_126 > #skF_71 > #skF_7 > #skF_118 > #skF_60 > #skF_9 > #skF_20 > #skF_15 > #skF_83 > #skF_96 > #skF_128 > #skF_133 > #skF_102 > #skF_14 > #skF_50 > #skF_89 > #skF_46 > #skF_81 > #skF_104 > #skF_58 > #skF_95 > #skF_52 > #skF_61 > #skF_94 > #skF_99 > #skF_3 > #skF_59 > #skF_55 > #skF_76 > #skF_125 > #skF_119 > #skF_134 > #skF_88 > #skF_105 > #skF_40 > #skF_116 > #skF_123 > #skF_8 > #skF_75 > #skF_25 > #skF_43 > #skF_87 > #skF_86 > #skF_132 > #skF_120 > #skF_21 > #skF_28 > #skF_73 > #skF_117 > #skF_16 > #skF_10 > #skF_79 > #skF_85 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fconj,type,
fconj: $i ).
tff(hAPP_f559147733l_bool,type,
hAPP_f559147733l_bool: ( $i * $i ) > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(image_a_pname,type,
image_a_pname: ( $i * $i ) > $i ).
tff(cOMBC_385542954t_bool,type,
cOMBC_385542954t_bool: $i > $i ).
tff(cOMBK_a_pname,type,
cOMBK_a_pname: $i > $i ).
tff(undefi17486888e_bool,type,
undefi17486888e_bool: $i > $i ).
tff('#skF_91',type,
'#skF_91': $i > $i ).
tff('#skF_108',type,
'#skF_108': ( $i * $i * $i ) > $i ).
tff(cOMBK_bool_pname,type,
cOMBK_bool_pname: $i > $i ).
tff('#skF_114',type,
'#skF_114': ( $i * $i * $i ) > $i ).
tff(is_a,type,
is_a: $i > $o ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff(hAPP_f510955609l_bool,type,
hAPP_f510955609l_bool: ( $i * $i ) > $i ).
tff(image_nat_a,type,
image_nat_a: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff(ord_less_nat,type,
ord_less_nat: $i ).
tff('#skF_131',type,
'#skF_131': ( $i * $i * $i ) > $i ).
tff('#skF_106',type,
'#skF_106': ( $i * $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i ) > $i ).
tff(undefi1699038445l_bool,type,
undefi1699038445l_bool: $i > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i ) > $i ).
tff('#skF_64',type,
'#skF_64': ( $i * $i * $i ) > $i ).
tff(hAPP_f1476298914l_bool,type,
hAPP_f1476298914l_bool: ( $i * $i ) > $i ).
tff(hAPP_f292226953l_bool,type,
hAPP_f292226953l_bool: ( $i * $i ) > $i ).
tff(ord_le675606854l_bool,type,
ord_le675606854l_bool: $i ).
tff('#skF_130',type,
'#skF_130': ( $i * $i ) > $i ).
tff(cOMBB_1693087065a_bool,type,
cOMBB_1693087065a_bool: ( $i * $i ) > $i ).
tff(cOMBB_bool_bool_a,type,
cOMBB_bool_bool_a: ( $i * $i ) > $i ).
tff(hAPP_bool_bool,type,
hAPP_bool_bool: ( $i * $i ) > $i ).
tff(cOMBK_bool_nat,type,
cOMBK_bool_nat: $i > $i ).
tff(hAPP_fun_a_bool_nat,type,
hAPP_fun_a_bool_nat: ( $i * $i ) > $i ).
tff('#skF_110',type,
'#skF_110': ( $i * $i * $i ) > $i ).
tff(cOMBS_nat_bool_bool,type,
cOMBS_nat_bool_bool: ( $i * $i ) > $i ).
tff(ord_le1454342156l_bool,type,
ord_le1454342156l_bool: $i ).
tff('#skF_41',type,
'#skF_41': ( $i * $i ) > $i ).
tff(image_fun_nat_bool_a,type,
image_fun_nat_bool_a: ( $i * $i ) > $i ).
tff(hAPP_f1246832597l_bool,type,
hAPP_f1246832597l_bool: ( $i * $i ) > $i ).
tff(image_a_fun_a_bool,type,
image_a_fun_a_bool: ( $i * $i ) > $i ).
tff(cOMBB_1823939024ol_nat,type,
cOMBB_1823939024ol_nat: ( $i * $i ) > $i ).
tff(hAPP_f103356543l_bool,type,
hAPP_f103356543l_bool: ( $i * $i ) > $i ).
tff(cOMBC_331553030l_bool,type,
cOMBC_331553030l_bool: $i > $i ).
tff(suc,type,
suc: $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff(cOMBB_1321347587bool_a,type,
cOMBB_1321347587bool_a: ( $i * $i ) > $i ).
tff(hAPP_f282463732t_bool,type,
hAPP_f282463732t_bool: ( $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff(fequal_fun_nat_bool,type,
fequal_fun_nat_bool: $i ).
tff(cOMBB_238756964t_bool,type,
cOMBB_238756964t_bool: ( $i * $i ) > $i ).
tff(cOMBB_307249310e_bool,type,
cOMBB_307249310e_bool: ( $i * $i ) > $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(hAPP_f1748468828l_bool,type,
hAPP_f1748468828l_bool: ( $i * $i ) > $i ).
tff(image_876012084bool_a,type,
image_876012084bool_a: ( $i * $i ) > $i ).
tff(cOMBB_164527437a_bool,type,
cOMBB_164527437a_bool: ( $i * $i ) > $i ).
tff(hAPP_n1006566506l_bool,type,
hAPP_n1006566506l_bool: ( $i * $i ) > $i ).
tff(collec707592106l_bool,type,
collec707592106l_bool: $i > $i ).
tff('#skF_129',type,
'#skF_129': ( $i * $i ) > $i ).
tff(cOMBB_1972296269bool_a,type,
cOMBB_1972296269bool_a: ( $i * $i ) > $i ).
tff(hAPP_nat_bool,type,
hAPP_nat_bool: ( $i * $i ) > $i ).
tff(cOMBB_bool_bool_nat,type,
cOMBB_bool_bool_nat: ( $i * $i ) > $i ).
tff(cOMBC_1149511130e_bool,type,
cOMBC_1149511130e_bool: $i > $i ).
tff(image_2129980159t_bool,type,
image_2129980159t_bool: ( $i * $i ) > $i ).
tff('#skF_56',type,
'#skF_56': ( $i * $i ) > $i ).
tff(hAPP_f937997336l_bool,type,
hAPP_f937997336l_bool: ( $i * $i ) > $i ).
tff(hAPP_a_pname,type,
hAPP_a_pname: ( $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i * $i ) > $i ).
tff(cOMBC_777206479l_bool,type,
cOMBC_777206479l_bool: $i > $i ).
tff(finite346522414t_bool,type,
finite346522414t_bool: $i ).
tff(hAPP_f2050579477a_bool,type,
hAPP_f2050579477a_bool: ( $i * $i ) > $i ).
tff(cOMBC_1928494297l_bool,type,
cOMBC_1928494297l_bool: $i > $i ).
tff(hAPP_f1637334154l_bool,type,
hAPP_f1637334154l_bool: ( $i * $i ) > $i ).
tff(cOMBC_a_a_bool,type,
cOMBC_a_a_bool: $i > $i ).
tff('#skF_113',type,
'#skF_113': ( $i * $i * $i ) > $i ).
tff(finite595471783e_bool,type,
finite595471783e_bool: $i ).
tff(cOMBC_a_pname_bool,type,
cOMBC_a_pname_bool: $i > $i ).
tff(image_fun_a_bool_nat,type,
image_fun_a_bool_nat: ( $i * $i ) > $i ).
tff('#skF_111',type,
'#skF_111': ( $i * $i * $i ) > $i ).
tff(cOMBB_743407885bool_a,type,
cOMBB_743407885bool_a: ( $i * $i ) > $i ).
tff(hAPP_f1935102916l_bool,type,
hAPP_f1935102916l_bool: ( $i * $i ) > $i ).
tff(member_fun_a_bool,type,
member_fun_a_bool: $i ).
tff(hAPP_a_fun_nat_bool,type,
hAPP_a_fun_nat_bool: ( $i * $i ) > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(hAPP_f1772781669l_bool,type,
hAPP_f1772781669l_bool: ( $i * $i ) > $i ).
tff(the_com,type,
the_com: $i > $i ).
tff(hAPP_f285962445l_bool,type,
hAPP_f285962445l_bool: ( $i * $i ) > $i ).
tff('#skF_44',type,
'#skF_44': ( $i * $i ) > $i ).
tff('#skF_27',type,
'#skF_27': ( $i * $i * $i ) > $i ).
tff(is_bool,type,
is_bool: $i > $o ).
tff('#skF_122',type,
'#skF_122': ( $i * $i ) > $i ).
tff(hAPP_f54304608l_bool,type,
hAPP_f54304608l_bool: ( $i * $i ) > $i ).
tff('#skF_127',type,
'#skF_127': ( $i * $i * $i ) > $i ).
tff('#skF_101',type,
'#skF_101': $i > $i ).
tff('#skF_103',type,
'#skF_103': ( $i * $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff(cOMBC_386238098l_bool,type,
cOMBC_386238098l_bool: $i > $i ).
tff(hAPP_f800510211t_bool,type,
hAPP_f800510211t_bool: ( $i * $i ) > $i ).
tff(cOMBB_1015721476ol_nat,type,
cOMBB_1015721476ol_nat: ( $i * $i ) > $i ).
tff(cOMBB_472261505bool_a,type,
cOMBB_472261505bool_a: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(undefi64961550l_bool,type,
undefi64961550l_bool: $i > $i ).
tff(bot_bot_fun_a_bool,type,
bot_bot_fun_a_bool: $i ).
tff(finite1306199131a_bool,type,
finite1306199131a_bool: $i ).
tff(finite1381704300l_bool,type,
finite1381704300l_bool: $i ).
tff('#skF_48',type,
'#skF_48': ( $i * $i ) > $i ).
tff(cOMBB_523834888_pname,type,
cOMBB_523834888_pname: ( $i * $i ) > $i ).
tff(insert_fun_a_bool,type,
insert_fun_a_bool: ( $i * $i ) > $i ).
tff(cOMBB_800536526ol_nat,type,
cOMBB_800536526ol_nat: ( $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i ) > $i ).
tff(cOMBC_1058051404l_bool,type,
cOMBC_1058051404l_bool: $i > $i ).
tff(cOMBC_1732670874l_bool,type,
cOMBC_1732670874l_bool: $i > $i ).
tff(image_nat_nat,type,
image_nat_nat: ( $i * $i ) > $i ).
tff(mgt,type,
mgt: $i > $i ).
tff(ord_le1311769555a_bool,type,
ord_le1311769555a_bool: $i ).
tff('#skF_72',type,
'#skF_72': ( $i * $i * $i ) > $i ).
tff(hAPP_a_fun_a_bool,type,
hAPP_a_fun_a_bool: ( $i * $i ) > $i ).
tff(fimplies,type,
fimplies: $i ).
tff(finite_card_pname,type,
finite_card_pname: $i ).
tff(image_pname_nat,type,
image_pname_nat: ( $i * $i ) > $i ).
tff(fequal_nat,type,
fequal_nat: $i ).
tff(cOMBC_267053842l_bool,type,
cOMBC_267053842l_bool: $i > $i ).
tff(cOMBB_392435466_pname,type,
cOMBB_392435466_pname: ( $i * $i ) > $i ).
tff(cOMBC_1693257480l_bool,type,
cOMBC_1693257480l_bool: $i > $i ).
tff('#skF_67',type,
'#skF_67': ( $i * $i * $i ) > $i ).
tff(hAPP_pname_pname,type,
hAPP_pname_pname: ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i ) > $i ).
tff(cOMBB_444170502t_bool,type,
cOMBB_444170502t_bool: ( $i * $i ) > $i ).
tff('#skF_97',type,
'#skF_97': $i > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': ( $i * $i ) > $i ).
tff(hAPP_p130839763l_bool,type,
hAPP_p130839763l_bool: ( $i * $i ) > $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i ) > $i ).
tff(insert_pname,type,
insert_pname: ( $i * $i ) > $i ).
tff(cOMBB_647938656_pname,type,
cOMBB_647938656_pname: ( $i * $i ) > $i ).
tff('#skF_82',type,
'#skF_82': ( $i * $i ) > $i ).
tff('#skF_115',type,
'#skF_115': ( $i * $i ) > $i ).
tff(image_nat_fun_a_bool,type,
image_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(cOMBB_675860798_pname,type,
cOMBB_675860798_pname: ( $i * $i ) > $i ).
tff(cOMBS_a_bool_bool,type,
cOMBS_a_bool_bool: ( $i * $i ) > $i ).
tff(hAPP_f556039215l_bool,type,
hAPP_f556039215l_bool: ( $i * $i ) > $i ).
tff(fNot,type,
fNot: $i ).
tff('#skF_100',type,
'#skF_100': $i > $i ).
tff(minus_minus_nat,type,
minus_minus_nat: $i > $i ).
tff(hAPP_nat_a,type,
hAPP_nat_a: ( $i * $i ) > $i ).
tff(is_fun1661590463l_bool,type,
is_fun1661590463l_bool: $i > $o ).
tff(bot_bot_fun_nat_bool,type,
bot_bot_fun_nat_bool: $i ).
tff(finite1340463720e_bool,type,
finite1340463720e_bool: $i ).
tff('#skF_121',type,
'#skF_121': ( $i * $i ) > $i ).
tff(u,type,
u: $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff(bool,type,
bool: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(cOMBK_1857069011e_bool,type,
cOMBK_1857069011e_bool: $i > $i ).
tff(cOMBC_nat_pname_bool,type,
cOMBC_nat_pname_bool: $i > $i ).
tff(image_1551609309ol_nat,type,
image_1551609309ol_nat: ( $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': ( $i * $i * $i ) > $i ).
tff(undefined_pname,type,
undefined_pname: $i > $i ).
tff(undefined_fun_a_bool,type,
undefined_fun_a_bool: $i > $i ).
tff(hAPP_a217006258l_bool,type,
hAPP_a217006258l_bool: ( $i * $i ) > $i ).
tff(hAPP_pname_bool,type,
hAPP_pname_bool: ( $i * $i ) > $i ).
tff(cOMBC_1284144636l_bool,type,
cOMBC_1284144636l_bool: $i > $i ).
tff(cOMBC_nat_a_bool,type,
cOMBC_nat_a_bool: $i > $i ).
tff('#skF_124',type,
'#skF_124': $i > $i ).
tff(hAPP_p61793385e_bool,type,
hAPP_p61793385e_bool: ( $i * $i ) > $i ).
tff(image_pname_pname,type,
image_pname_pname: ( $i * $i ) > $i ).
tff('#skF_69',type,
'#skF_69': ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff(cOMBB_610033911bool_a,type,
cOMBB_610033911bool_a: ( $i * $i ) > $i ).
tff(insert1325755072e_bool,type,
insert1325755072e_bool: ( $i * $i ) > $i ).
tff(collect_pname,type,
collect_pname: $i > $i ).
tff(finite_card_a,type,
finite_card_a: $i ).
tff(image_a_nat,type,
image_a_nat: ( $i * $i ) > $i ).
tff(hAPP_f1434722111l_bool,type,
hAPP_f1434722111l_bool: ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i ) > $i ).
tff(hAPP_p1534023578a_bool,type,
hAPP_p1534023578a_bool: ( $i * $i ) > $i ).
tff(hAPP_a85458249l_bool,type,
hAPP_a85458249l_bool: ( $i * $i ) > $i ).
tff(nat_case_bool,type,
nat_case_bool: ( $i * $i ) > $i ).
tff(cOMBB_598082538e_bool,type,
cOMBB_598082538e_bool: ( $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i * $i ) > $i ).
tff(cOMBS_350070575l_bool,type,
cOMBS_350070575l_bool: ( $i * $i ) > $i ).
tff(cOMBC_445755039l_bool,type,
cOMBC_445755039l_bool: $i > $i ).
tff(hAPP_f55526627ol_nat,type,
hAPP_f55526627ol_nat: ( $i * $i ) > $i ).
tff(hAPP_nat_nat,type,
hAPP_nat_nat: ( $i * $i ) > $i ).
tff(image_112932426a_bool,type,
image_112932426a_bool: ( $i * $i ) > $i ).
tff(cOMBB_1250273980t_bool,type,
cOMBB_1250273980t_bool: ( $i * $i ) > $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i ) > $i ).
tff(fun,type,
fun: ( $i * $i ) > $i ).
tff(cOMBC_595898202l_bool,type,
cOMBC_595898202l_bool: $i > $i ).
tff('#skF_93',type,
'#skF_93': $i > $i ).
tff('#skF_98',type,
'#skF_98': $i > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(collect_a,type,
collect_a: $i > $i ).
tff(hAPP_n850744903l_bool,type,
hAPP_n850744903l_bool: ( $i * $i ) > $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i * $i ) > $i ).
tff('#skF_109',type,
'#skF_109': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff(hAPP_f1631501043l_bool,type,
hAPP_f1631501043l_bool: ( $i * $i ) > $i ).
tff(image_1921560913_pname,type,
image_1921560913_pname: ( $i * $i ) > $i ).
tff(collec1613912337l_bool,type,
collec1613912337l_bool: $i > $i ).
tff(one_one_nat,type,
one_one_nat: $i ).
tff(is_fun_pname_bool,type,
is_fun_pname_bool: $i > $o ).
tff(bot_bot_nat,type,
bot_bot_nat: $i ).
tff(hAPP_f1291551745_pname,type,
hAPP_f1291551745_pname: ( $i * $i ) > $i ).
tff(cOMBC_1004116266e_bool,type,
cOMBC_1004116266e_bool: $i > $i ).
tff(hAPP_f1051908748a_bool,type,
hAPP_f1051908748a_bool: ( $i * $i ) > $i ).
tff(ord_less_eq_bool,type,
ord_less_eq_bool: $i ).
tff(hAPP_pname_a,type,
hAPP_pname_a: ( $i * $i ) > $i ).
tff(cOMBB_1137537805bool_a,type,
cOMBB_1137537805bool_a: ( $i * $i ) > $i ).
tff(is_pname,type,
is_pname: $i > $o ).
tff(fequal_fun_a_bool,type,
fequal_fun_a_bool: $i ).
tff('#skF_107',type,
'#skF_107': ( $i * $i * $i ) > $i ).
tff(hAPP_nat_pname,type,
hAPP_nat_pname: ( $i * $i ) > $i ).
tff(member_pname,type,
member_pname: $i ).
tff(hAPP_p393069232l_bool,type,
hAPP_p393069232l_bool: ( $i * $i ) > $i ).
tff(ord_less_eq_nat,type,
ord_less_eq_nat: $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(cOMBB_a_fun_a_bool_a,type,
cOMBB_a_fun_a_bool_a: ( $i * $i ) > $i ).
tff(cOMBB_1212655066ol_nat,type,
cOMBB_1212655066ol_nat: ( $i * $i ) > $i ).
tff(cOMBC_615407716e_bool,type,
cOMBC_615407716e_bool: $i > $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i * $i ) > $i ).
tff(hAPP_f1794073134e_bool,type,
hAPP_f1794073134e_bool: ( $i * $i ) > $i ).
tff(hAPP_f2117159681l_bool,type,
hAPP_f2117159681l_bool: ( $i * $i ) > $i ).
tff(cOMBC_1666426608t_bool,type,
cOMBC_1666426608t_bool: $i > $i ).
tff(hAPP_f759274231e_bool,type,
hAPP_f759274231e_bool: ( $i * $i ) > $i ).
tff(cOMBC_1355376034l_bool,type,
cOMBC_1355376034l_bool: $i > $i ).
tff(ord_le1568362934t_bool,type,
ord_le1568362934t_bool: $i ).
tff('#skF_84',type,
'#skF_84': ( $i * $i ) > $i ).
tff(plus_plus_nat,type,
plus_plus_nat: $i > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff(bot_bo1701429464l_bool,type,
bot_bo1701429464l_bool: $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff(fequal_a,type,
fequal_a: $i ).
tff(image_nat_pname,type,
image_nat_pname: ( $i * $i ) > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff(finite786885583l_bool,type,
finite786885583l_bool: $i ).
tff('#skF_112',type,
'#skF_112': ( $i * $i * $i ) > $i ).
tff('#skF_92',type,
'#skF_92': $i > $i ).
tff(cOMBC_1988546018l_bool,type,
cOMBC_1988546018l_bool: $i > $i ).
tff('#skF_80',type,
'#skF_80': $i > $i ).
tff(cOMBK_bool_a,type,
cOMBK_bool_a: $i > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i ) > $i ).
tff(bot_bo1389914601l_bool,type,
bot_bo1389914601l_bool: $i ).
tff(cOMBB_141086128t_bool,type,
cOMBB_141086128t_bool: ( $i * $i ) > $i ).
tff(cOMBS_1187019125l_bool,type,
cOMBS_1187019125l_bool: ( $i * $i ) > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i * $i ) > $i ).
tff(finite2012431853t_bool,type,
finite2012431853t_bool: $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i ) > $i ).
tff('#skF_90',type,
'#skF_90': $i > $i ).
tff(hAPP_pname_nat,type,
hAPP_pname_nat: ( $i * $i ) > $i ).
tff('#skF_126',type,
'#skF_126': ( $i * $i * $i ) > $i ).
tff(hAPP_f696928925ol_nat,type,
hAPP_f696928925ol_nat: ( $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i ) > $i ).
tff(is_fun949378684l_bool,type,
is_fun949378684l_bool: $i > $o ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(hAPP_f1664156314l_bool,type,
hAPP_f1664156314l_bool: ( $i * $i ) > $i ).
tff(pn,type,
pn: $i ).
tff(fdisj,type,
fdisj: $i ).
tff(cOMBC_a_nat_bool,type,
cOMBC_a_nat_bool: $i > $i ).
tff(p,type,
p: $i > $i ).
tff('#skF_118',type,
'#skF_118': ( $i * $i ) > $i ).
tff(image_pname_a,type,
image_pname_a: ( $i * $i ) > $i ).
tff(cOMBC_1880041174l_bool,type,
cOMBC_1880041174l_bool: $i > $i ).
tff('#skF_60',type,
'#skF_60': ( $i * $i * $i ) > $i ).
tff(image_a_fun_nat_bool,type,
image_a_fun_nat_bool: ( $i * $i ) > $i ).
tff(image_496248727ol_nat,type,
image_496248727ol_nat: ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(image_1283814551_pname,type,
image_1283814551_pname: ( $i * $i ) > $i ).
tff(image_fun_a_bool_a,type,
image_fun_a_bool_a: ( $i * $i ) > $i ).
tff(hAPP_p1824510254l_bool,type,
hAPP_p1824510254l_bool: ( $i * $i ) > $i ).
tff(image_1655916159e_bool,type,
image_1655916159e_bool: ( $i * $i ) > $i ).
tff(undefined_a,type,
undefined_a: $i > $i ).
tff(hAPP_n215258509l_bool,type,
hAPP_n215258509l_bool: ( $i * $i ) > $i ).
tff(g,type,
g: $i ).
tff(cOMBB_1896684278e_bool,type,
cOMBB_1896684278e_bool: ( $i * $i ) > $i ).
tff(mgt_call,type,
mgt_call: $i ).
tff(cOMBS_1035972772l_bool,type,
cOMBS_1035972772l_bool: ( $i * $i ) > $i ).
tff(cOMBK_324466864a_bool,type,
cOMBK_324466864a_bool: $i > $i ).
tff(hAPP_n1414589940l_bool,type,
hAPP_n1414589940l_bool: ( $i * $i ) > $i ).
tff(hAPP_f22106695ol_nat,type,
hAPP_f22106695ol_nat: ( $i * $i ) > $i ).
tff(fequal_pname,type,
fequal_pname: $i ).
tff(hAPP_f2009550088ol_nat,type,
hAPP_f2009550088ol_nat: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff(hAPP_a_fun_bool_bool,type,
hAPP_a_fun_bool_bool: ( $i * $i ) > $i ).
tff(cOMBC_619334683t_bool,type,
cOMBC_619334683t_bool: $i > $i ).
tff(member_nat,type,
member_nat: $i ).
tff(finite_finite_nat,type,
finite_finite_nat: $i ).
tff(hAPP_a93125764e_bool,type,
hAPP_a93125764e_bool: ( $i * $i ) > $i ).
tff('#skF_83',type,
'#skF_83': ( $i * $i ) > $i ).
tff('#skF_96',type,
'#skF_96': $i > $i ).
tff(ord_le313189616e_bool,type,
ord_le313189616e_bool: $i ).
tff('#skF_128',type,
'#skF_128': ( $i * $i * $i ) > $i ).
tff('#skF_133',type,
'#skF_133': ( $i * $i ) > $i ).
tff('#skF_102',type,
'#skF_102': $i > $i ).
tff(bot_bo1649642514l_bool,type,
bot_bo1649642514l_bool: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff(pname,type,
pname: $i ).
tff('#skF_89',type,
'#skF_89': $i > $i ).
tff(cOMBC_nat_nat_bool,type,
cOMBC_nat_nat_bool: $i > $i ).
tff(finite347923420a_bool,type,
finite347923420a_bool: $i ).
tff(cOMBC_1834145417l_bool,type,
cOMBC_1834145417l_bool: $i > $i ).
tff(fTrue,type,
fTrue: $i ).
tff(hAPP_nat_fun_a_bool,type,
hAPP_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(x_a,type,
x_a: $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i ) > $i ).
tff('#skF_81',type,
'#skF_81': ( $i * $i ) > $i ).
tff(na,type,
na: $i ).
tff(cOMBS_568398431l_bool,type,
cOMBS_568398431l_bool: ( $i * $i ) > $i ).
tff(hAPP_a_a,type,
hAPP_a_a: ( $i * $i ) > $i ).
tff(insert_fun_nat_bool,type,
insert_fun_nat_bool: ( $i * $i ) > $i ).
tff(hAPP_a_nat,type,
hAPP_a_nat: ( $i * $i ) > $i ).
tff('#skF_104',type,
'#skF_104': ( $i * $i * $i ) > $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i ) > $i ).
tff('#skF_95',type,
'#skF_95': $i > $i ).
tff(hAPP_n1025906991e_bool,type,
hAPP_n1025906991e_bool: ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i ) > $i ).
tff(cOMBB_2026977092ol_nat,type,
cOMBB_2026977092ol_nat: ( $i * $i ) > $i ).
tff('#skF_61',type,
'#skF_61': ( $i * $i * $i ) > $i ).
tff('#skF_94',type,
'#skF_94': $i > $i ).
tff('#skF_99',type,
'#skF_99': $i > $i ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(member_a,type,
member_a: $i ).
tff(cOMBB_1897541054_pname,type,
cOMBB_1897541054_pname: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(hAPP_f1066163005t_bool,type,
hAPP_f1066163005t_bool: ( $i * $i ) > $i ).
tff(member_fun_nat_bool,type,
member_fun_nat_bool: $i ).
tff(hBOOL,type,
hBOOL: $i > $o ).
tff(hAPP_p1499970991t_bool,type,
hAPP_p1499970991t_bool: ( $i * $i ) > $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i * $i ) > $i ).
tff('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff(cOMBB_2140588453a_bool,type,
cOMBB_2140588453a_bool: ( $i * $i ) > $i ).
tff('#skF_76',type,
'#skF_76': ( $i * $i * $i ) > $i ).
tff(hAPP_f1297739591_pname,type,
hAPP_f1297739591_pname: ( $i * $i ) > $i ).
tff(fequal533582459e_bool,type,
fequal533582459e_bool: $i ).
tff('#skF_125',type,
'#skF_125': ( $i * $i ) > $i ).
tff('#skF_119',type,
'#skF_119': ( $i * $i ) > $i ).
tff('#skF_134',type,
'#skF_134': ( $i * $i ) > $i ).
tff(hAPP_p338031245l_bool,type,
hAPP_p338031245l_bool: ( $i * $i ) > $i ).
tff(finite1701474069l_bool,type,
finite1701474069l_bool: $i ).
tff(image_26036933t_bool,type,
image_26036933t_bool: ( $i * $i ) > $i ).
tff(cOMBB_928955006_pname,type,
cOMBB_928955006_pname: ( $i * $i ) > $i ).
tff('#skF_88',type,
'#skF_88': $i > $i ).
tff(collec1974731493e_bool,type,
collec1974731493e_bool: $i > $i ).
tff(bot_bot_bool,type,
bot_bot_bool: $i ).
tff(hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: ( $i * $i ) > $i ).
tff('#skF_105',type,
'#skF_105': ( $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(is_fun_a_bool,type,
is_fun_a_bool: $i > $o ).
tff(cOMBB_2117322052ol_nat,type,
cOMBB_2117322052ol_nat: ( $i * $i ) > $i ).
tff(hAPP_f621171935l_bool,type,
hAPP_f621171935l_bool: ( $i * $i ) > $i ).
tff(image_47868345e_bool,type,
image_47868345e_bool: ( $i * $i ) > $i ).
tff(cOMBC_pname_a_bool,type,
cOMBC_pname_a_bool: $i > $i ).
tff('#skF_116',type,
'#skF_116': ( $i * $i ) > $i ).
tff('#skF_123',type,
'#skF_123': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(body,type,
body: $i > $i ).
tff(ord_le1375614389l_bool,type,
ord_le1375614389l_bool: $i ).
tff(zero_zero_nat,type,
zero_zero_nat: $i ).
tff('#skF_75',type,
'#skF_75': ( $i * $i * $i ) > $i ).
tff('#skF_25',type,
'#skF_25': ( $i * $i * $i ) > $i ).
tff(member799430823e_bool,type,
member799430823e_bool: $i ).
tff(hAPP_f434788991l_bool,type,
hAPP_f434788991l_bool: ( $i * $i ) > $i ).
tff(collect_fun_a_bool,type,
collect_fun_a_bool: $i > $i ).
tff(finite_finite_pname,type,
finite_finite_pname: $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff(cOMBC_7971162l_bool,type,
cOMBC_7971162l_bool: $i > $i ).
tff(finite_card_nat,type,
finite_card_nat: $i ).
tff(cOMBC_226598744l_bool,type,
cOMBC_226598744l_bool: $i > $i ).
tff(hAPP_fun_a_bool_bool,type,
hAPP_fun_a_bool_bool: ( $i * $i ) > $i ).
tff('#skF_87',type,
'#skF_87': $i > $i ).
tff(cOMBB_1885489796ol_nat,type,
cOMBB_1885489796ol_nat: ( $i * $i ) > $i ).
tff(collect_fun_nat_bool,type,
collect_fun_nat_bool: $i > $i ).
tff(cOMBB_338059395a_bool,type,
cOMBB_338059395a_bool: ( $i * $i ) > $i ).
tff('#skF_86',type,
'#skF_86': $i > $i ).
tff(cOMBB_2095475776e_bool,type,
cOMBB_2095475776e_bool: ( $i * $i ) > $i ).
tff('#skF_132',type,
'#skF_132': ( $i * $i * $i ) > $i ).
tff('#skF_120',type,
'#skF_120': ( $i * $i ) > $i ).
tff(hAPP_a_bool,type,
hAPP_a_bool: ( $i * $i ) > $i ).
tff(collect_nat,type,
collect_nat: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff(hAPP_f389811538l_bool,type,
hAPP_f389811538l_bool: ( $i * $i ) > $i ).
tff(cOMBC_pname_nat_bool,type,
cOMBC_pname_nat_bool: $i > $i ).
tff(cOMBC_1245412066l_bool,type,
cOMBC_1245412066l_bool: $i > $i ).
tff(fFalse,type,
fFalse: $i ).
tff(image_a_a,type,
image_a_a: ( $i * $i ) > $i ).
tff(hAPP_f198738859l_bool,type,
hAPP_f198738859l_bool: ( $i * $i ) > $i ).
tff(bot_bo844097828e_bool,type,
bot_bo844097828e_bool: $i ).
tff(hAPP_a1392362872l_bool,type,
hAPP_a1392362872l_bool: ( $i * $i ) > $i ).
tff(image_1854862208_pname,type,
image_1854862208_pname: ( $i * $i ) > $i ).
tff(hAPP_f1128469712_pname,type,
hAPP_f1128469712_pname: ( $i * $i ) > $i ).
tff(wt,type,
wt: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i * $i ) > $i ).
tff('#skF_73',type,
'#skF_73': ( $i * $i * $i ) > $i ).
tff(cOMBK_1994329625t_bool,type,
cOMBK_1994329625t_bool: $i > $i ).
tff(insert_nat,type,
insert_nat: ( $i * $i ) > $i ).
tff('#skF_117',type,
'#skF_117': ( $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': ( $i * $i ) > $i ).
tff('#skF_85',type,
'#skF_85': $i > $i ).
tff(cOMBC_1738168533e_bool,type,
cOMBC_1738168533e_bool: $i > $i ).
tff(insert_a,type,
insert_a: ( $i * $i ) > $i ).
tff(hAPP_f921600141ol_nat,type,
hAPP_f921600141ol_nat: ( $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(finite_finite_a,type,
finite_finite_a: $i ).
tff(cOMBB_408569982_pname,type,
cOMBB_408569982_pname: ( $i * $i ) > $i ).
tff(hAPP_f1951378235l_bool,type,
hAPP_f1951378235l_bool: ( $i * $i ) > $i ).
tff(hAPP_f1549043526a_bool,type,
hAPP_f1549043526a_bool: ( $i * $i ) > $i ).
tff(cOMBB_542850580_pname,type,
cOMBB_542850580_pname: ( $i * $i ) > $i ).
tff(hAPP_f654413245e_bool,type,
hAPP_f654413245e_bool: ( $i * $i ) > $i ).
tff(image_819518260e_bool,type,
image_819518260e_bool: ( $i * $i ) > $i ).
tff(collec1015864663l_bool,type,
collec1015864663l_bool: $i > $i ).
tff(f_815,axiom,
! [N] : ( N != hAPP_nat_nat(suc,N) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_n__not__Suc__n) ).
tff(f_4896,hypothesis,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
tff(f_449,axiom,
! [H,F_1] :
( hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1))
=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H,F_1))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_finite__imageI) ).
tff(f_4897,hypothesis,
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(f_959,axiom,
! [A_1,B_6] :
( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6))
=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6))
=> hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_rev__finite__subset) ).
tff(f_351,hypothesis,
is_fun_pname_bool(u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_U) ).
tff(f_4900,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f_2180,axiom,
! [A_3,A_1] :
( is_fun_pname_bool(A_1)
=> ( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3),A_1))
=> ( insert_pname(A_3,A_1) = A_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_insert__absorb) ).
tff(f_2520,axiom,
! [F,A_3,B_6] : ( image_pname_a(F,insert_pname(A_3,B_6)) = insert_a(hAPP_pname_a(F,A_3),image_pname_a(F,B_6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_337_image__insert) ).
tff(f_757,axiom,
! [X_3,A_1] :
( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1))
=> ( ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),A_1))
=> ( hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3,A_1)) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_card__insert__disjoint) ).
tff(f_2467,axiom,
! [X_3,A_1,B_6] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3,A_1)),B_6))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3),B_6))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1),B_6)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_insert__subset) ).
tff(f_4904,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))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_6) ).
tff(c_403,plain,
! [N_319] : ( hAPP_nat_nat(suc,N_319) != N_319 ),
inference(cnfTransformation,[status(thm)],[f_815]) ).
tff(c_2760,plain,
hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)),
inference(cnfTransformation,[status(thm)],[f_4896]) ).
tff(c_252,plain,
! [H_198,F_1_199] :
( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(H_198,F_1_199)))
| ~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,F_1_199)) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_2762,plain,
hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,g),image_pname_a(mgt_call,u))),
inference(cnfTransformation,[status(thm)],[f_4897]) ).
tff(c_75998,plain,
! [A_1_4970,B_6_4971] :
( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1_4970))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1_4970),B_6_4971))
| ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,B_6_4971)) ),
inference(cnfTransformation,[status(thm)],[f_959]) ).
tff(c_76073,plain,
( hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,g))
| ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(mgt_call,u))) ),
inference(resolution,[status(thm)],[c_2762,c_75998]) ).
tff(c_136173,plain,
~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(mgt_call,u))),
inference(splitLeft,[status(thm)],[c_76073]) ).
tff(c_136248,plain,
~ hBOOL(hAPP_f1664156314l_bool(finite_finite_pname,u)),
inference(resolution,[status(thm)],[c_252,c_136173]) ).
tff(c_136252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2760,c_136248]) ).
tff(c_136254,plain,
hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(mgt_call,u))),
inference(splitRight,[status(thm)],[c_76073]) ).
tff(c_200,plain,
is_fun_pname_bool(u),
inference(cnfTransformation,[status(thm)],[f_351]) ).
tff(c_2768,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnfTransformation,[status(thm)],[f_4900]) ).
tff(c_56817,plain,
! [A_3_4493,A_1_4494] :
( ( insert_pname(A_3_4493,A_1_4494) = A_1_4494 )
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,A_3_4493),A_1_4494))
| ~ is_fun_pname_bool(A_1_4494) ),
inference(cnfTransformation,[status(thm)],[f_2180]) ).
tff(c_56843,plain,
( ( insert_pname(pn,u) = u )
| ~ is_fun_pname_bool(u) ),
inference(resolution,[status(thm)],[c_2768,c_56817]) ).
tff(c_56856,plain,
insert_pname(pn,u) = u,
inference(demodulation,[status(thm),theory(equality)],[c_200,c_56843]) ).
tff(c_1271,plain,
! [F_1016,A_3_1017,B_6_1018] : ( insert_a(hAPP_pname_a(F_1016,A_3_1017),image_pname_a(F_1016,B_6_1018)) = image_pname_a(F_1016,insert_pname(A_3_1017,B_6_1018)) ),
inference(cnfTransformation,[status(thm)],[f_2520]) ).
tff(c_362,plain,
! [A_1_297,X_3_296] :
( ( hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,A_1_297)) = hAPP_fun_a_bool_nat(finite_card_a,insert_a(X_3_296,A_1_297)) )
| hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3_296),A_1_297))
| ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,A_1_297)) ),
inference(cnfTransformation,[status(thm)],[f_757]) ).
tff(c_357336,plain,
! [X_3_9139,A_1_9140,B_6_9141] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,insert_a(X_3_9139,A_1_9140)),B_6_9141))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_1_9140),B_6_9141))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_3_9139),B_6_9141)) ),
inference(cnfTransformation,[status(thm)],[f_2467]) ).
tff(c_2772,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(cnfTransformation,[status(thm)],[f_4904]) ).
tff(c_357544,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,[status(thm)],[c_357336,c_2772]) ).
tff(c_357861,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(demodulation,[status(thm),theory(equality)],[c_2762,c_357544]) ).
tff(c_357903,plain,
( ( hAPP_fun_a_bool_nat(finite_card_a,insert_a(hAPP_pname_a(mgt_call,pn),image_pname_a(mgt_call,u))) = hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))) )
| ~ hBOOL(hAPP_fun_a_bool_bool(finite_finite_a,image_pname_a(mgt_call,u))) ),
inference(resolution,[status(thm)],[c_362,c_357861]) ).
tff(c_357912,plain,
hAPP_nat_nat(suc,hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u))) = hAPP_fun_a_bool_nat(finite_card_a,image_pname_a(mgt_call,u)),
inference(demodulation,[status(thm),theory(equality)],[c_136254,c_56856,c_1271,c_357903]) ).
tff(c_357914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_403,c_357912]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW473+2 : TPTP v8.1.2. Released v5.3.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.17/0.35 % Computer : n016.cluster.edu
% 0.17/0.35 % Model : x86_64 x86_64
% 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35 % Memory : 8042.1875MB
% 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35 % CPULimit : 300
% 0.17/0.35 % WCLimit : 300
% 0.17/0.35 % DateTime : Thu Aug 3 20:10:08 EDT 2023
% 0.17/0.35 % CPUTime :
% 260.82/227.43 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 260.82/227.44
% 260.82/227.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 260.98/227.48
% 260.98/227.48 Inference rules
% 260.98/227.48 ----------------------
% 260.98/227.48 #Ref : 29
% 260.98/227.48 #Sup : 82988
% 260.98/227.48 #Fact : 20
% 260.98/227.48 #Define : 0
% 260.98/227.48 #Split : 40
% 260.98/227.48 #Chain : 0
% 260.98/227.48 #Close : 0
% 260.98/227.48
% 260.98/227.48 Ordering : KBO
% 260.98/227.48
% 260.98/227.48 Simplification rules
% 260.98/227.48 ----------------------
% 260.98/227.48 #Subsume : 29268
% 260.98/227.48 #Demod : 54007
% 260.98/227.48 #Tautology : 25159
% 260.98/227.48 #SimpNegUnit : 14447
% 260.98/227.48 #BackRed : 420
% 260.98/227.48
% 260.98/227.48 #Partial instantiations: 0
% 260.98/227.48 #Strategies tried : 1
% 260.98/227.48
% 260.98/227.48 Timing (in seconds)
% 260.98/227.48 ----------------------
% 260.98/227.48 Preprocessing : 2.16
% 260.98/227.48 Parsing : 1.19
% 260.98/227.48 CNF conversion : 0.17
% 260.98/227.48 Main loop : 224.10
% 260.98/227.48 Inferencing : 27.08
% 260.98/227.48 Reduction : 130.70
% 260.98/227.48 Demodulation : 107.73
% 260.98/227.48 BG Simplification : 0.49
% 260.98/227.48 Subsumption : 53.33
% 260.98/227.48 Abstraction : 0.92
% 260.98/227.48 MUC search : 0.00
% 260.98/227.48 Cooper : 0.00
% 260.98/227.48 Total : 226.33
% 260.98/227.48 Index Insertion : 0.00
% 260.98/227.48 Index Deletion : 0.00
% 260.98/227.48 Index Matching : 0.00
% 260.98/227.48 BG Taut test : 0.00
%------------------------------------------------------------------------------