%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : SWW473+3 : TPTP v9.0.0. 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 : n005.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 : Thu Apr 10 02:51:35 AM UTC 2025
% Result : Theorem 187.12s 157.44s
% Output : CNFRefutation 187.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 typ; 0 def)
% Number of atoms : 22 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 4 |; 1 &)
% ( 1 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 597 ( 597 usr; 105 con; 0-4 aty)
% Number of variables : 13 ( 13 !; 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_nat > nat_case_bool > image_pname_pname > image_pname_nat > image_pname_int > image_pname_a > image_nat_pname > image_nat_int > image_nat_fun_a_bool > image_nat_a > image_int_pname > image_int_fun_a_bool > image_int_a > image_fun_nat_bool_a > image_fun_int_bool_a > image_fun_a_bool_nat > image_fun_a_bool_int > image_fun_a_bool_a > image_a_pname > image_a_nat > image_a_int > image_a_fun_nat_bool > image_a_fun_int_bool > image_a_fun_a_bool > image_a_a > image_892525857t_bool > image_876012084bool_a > image_819518260e_bool > image_637364955e_bool > image_62782965_pname > image_496248727ol_nat > image_47868345e_bool > image_41399353ol_int > image_275383677t_bool > image_26036933t_bool > image_2129980159t_bool > image_2069007511ol_int > image_1921560913_pname > image_1854862208_pname > image_1655916159e_bool > image_1556378401t_bool > image_1551609309ol_nat > image_1512837979t_bool > image_1431733819ol_nat > image_1283814551_pname > image_1133522419ol_int > image_112932426a_bool > hAPP_pname_pname > hAPP_pname_bool > hAPP_pname_a > hAPP_p905327722e_bool > hAPP_p61793385e_bool > hAPP_p393069232l_bool > hAPP_p338031245l_bool > hAPP_p1534023578a_bool > hAPP_p1170154830_pname > hAPP_nat_nat > hAPP_nat_int > hAPP_nat_fun_nat_nat > hAPP_nat_fun_a_bool > hAPP_nat_bool > hAPP_n850744903l_bool > hAPP_n609083369l_bool > hAPP_n215258509l_bool > hAPP_n1699378549t_bool > hAPP_n1512601776t_bool > hAPP_n1414589940l_bool > hAPP_n1082236369t_bool > hAPP_n1025906991e_bool > hAPP_n1006566506l_bool > hAPP_int_int > hAPP_int_fun_int_int > hAPP_int_fun_a_bool > hAPP_int_bool > hAPP_int_a > hAPP_i888906320l_bool > hAPP_i7355787e_bool > hAPP_i68813070l_bool > hAPP_i418383825t_bool > hAPP_i2112223885l_bool > hAPP_i1948725293t_bool > hAPP_i1718399025l_bool > hAPP_i1587699435l_bool > hAPP_i1529485324t_bool > hAPP_fun_a_bool_nat > hAPP_fun_a_bool_bool > hAPP_fun_a_bool_a > hAPP_f957591787ol_nat > hAPP_f937997336l_bool > hAPP_f921600141ol_nat > hAPP_f800510211t_bool > hAPP_f759274231e_bool > hAPP_f696928925ol_nat > hAPP_f633452666l_bool > hAPP_f628503027l_bool > hAPP_f621171935l_bool > hAPP_f587666462l_bool > hAPP_f559147733l_bool > hAPP_f556039215l_bool > hAPP_f55526627ol_nat > hAPP_f54304608l_bool > hAPP_f521865025ol_nat > hAPP_f510955609l_bool > hAPP_f449020825t_bool > hAPP_f448129468l_bool > hAPP_f434788991l_bool > hAPP_f389811538l_bool > hAPP_f317860125l_bool > hAPP_f292226953l_bool > hAPP_f285962445l_bool > hAPP_f284875647l_bool > hAPP_f282463732t_bool > hAPP_f274826591t_bool > hAPP_f22106695ol_nat > hAPP_f215623910l_bool > hAPP_f2117159681l_bool > hAPP_f2050579477a_bool > hAPP_f2009550088ol_nat > hAPP_f198738859l_bool > hAPP_f1951378235l_bool > hAPP_f1948010709l_bool > hAPP_f1935102916l_bool > hAPP_f183368031t_bool > hAPP_f1812805200t_bool > hAPP_f1805168059t_bool > hAPP_f1791771145a_bool > hAPP_f1772781669l_bool > hAPP_f1748468828l_bool > hAPP_f1730770594t_bool > hAPP_f1721100032l_bool > hAPP_f1664156314l_bool > hAPP_f1637334154l_bool > hAPP_f1631501043l_bool > hAPP_f1594865479ol_int > hAPP_f1593524852l_bool > hAPP_f1570313510t_bool > hAPP_f1531278575l_bool > hAPP_f1476298914l_bool > hAPP_f1434722111l_bool > hAPP_f1388330588e_bool > hAPP_f1320879424l_bool > hAPP_f1297739591_pname > hAPP_f1246832597l_bool > hAPP_f1223193598t_bool > hAPP_f1066163005t_bool > hAPP_f1048215610t_bool > hAPP_f1038053735a_bool > hAPP_f103356543l_bool > hAPP_bool_bool > hAPP_b589554111l_bool > hAPP_a_fun_int_bool > hAPP_a_fun_bool_bool > hAPP_a_fun_a_bool > hAPP_a_fun_a_a > hAPP_a_bool > hAPP_a_a > hAPP_a93125764e_bool > hAPP_a85458249l_bool > hAPP_a1206381875a_bool > fun > finite_folding_one_a > finite988810631ne_nat > finite89670078_pname > finite795500164em_nat > finite1819937229idem_a > finite1626084323ne_int > finite1432773856em_int > finite1282449217_pname > cOMBS_nat_bool_bool > cOMBS_int_bool_bool > cOMBS_a_bool_bool > cOMBS_568398431l_bool > cOMBS_350070575l_bool > cOMBS_1912792529l_bool > cOMBS_1187019125l_bool > cOMBS_1035972772l_bool > cOMBB_int_bool_nat > cOMBB_bool_bool_nat > cOMBB_bool_bool_int > cOMBB_bool_bool_a > cOMBB_955900739ol_nat > cOMBB_800536526ol_nat > cOMBB_675860798_pname > cOMBB_647938656_pname > cOMBB_607112096ol_int > cOMBB_516767136ol_int > cOMBB_444170502t_bool > cOMBB_375279840ol_int > cOMBB_338059395a_bool > cOMBB_313729068ol_int > cOMBB_2117322052ol_nat > cOMBB_2095475776e_bool > cOMBB_2026977092ol_nat > cOMBB_1974511970t_bool > cOMBB_1972296269bool_a > cOMBB_1897541054_pname > cOMBB_1823939024ol_nat > cOMBB_1761098400ol_int > cOMBB_1652995168ol_int > cOMBB_1628441366ol_nat > cOMBB_1418110531ol_int > cOMBB_1273333599bool_a > cOMBB_1146692694ol_nat > cOMBB_1123824708ol_nat > cOMBB_1015721476ol_nat > #nlpp > wt > undefined_pname > undefined_fun_a_bool > undefined_a > undefi64961550l_bool > undefi17486888e_bool > undefi1699038445l_bool > the_com > succ > p > number_number_of_nat > number_number_of_int > mgt > if_nat > collect_pname > collect_nat > collect_int > collect_fun_nat_bool > collect_fun_int_bool > collect_fun_a_bool > collect_a > collec707592106l_bool > collec1974731493e_bool > collec1613912337l_bool > collec1409689523l_bool > collec1015864663l_bool > cOMBK_int_nat > cOMBK_bool_nat > cOMBK_bool_int > cOMBK_bool_a > cOMBK_a_pname > cOMBC_pname_a_bool > cOMBC_nat_nat_bool > cOMBC_nat_int_bool > cOMBC_int_int_bool > cOMBC_int_a_bool > cOMBC_a_a_bool > cOMBC_94739984l_bool > cOMBC_7971162l_bool > cOMBC_620423604l_bool > cOMBC_605892544l_bool > cOMBC_595898202l_bool > cOMBC_394484100a_bool > cOMBC_386238098l_bool > cOMBC_348868698l_bool > cOMBC_331553030l_bool > cOMBC_316919022l_bool > cOMBC_226598744l_bool > cOMBC_1928494297l_bool > cOMBC_1848398772l_bool > cOMBC_178881787t_bool > cOMBC_1753430397l_bool > cOMBC_1732670874l_bool > cOMBC_1693257480l_bool > cOMBC_1683390479t_bool > cOMBC_1355376034l_bool > cOMBC_1284144636l_bool > cOMBC_1149511130e_bool > cOMBC_1058051404l_bool > body > bit1 > abs_abs_int > zero_zero_nat > zero_zero_int > x_a > u > times_times_nat > times_times_int > the_nat > the_int > the_elem_nat > the_elem_int > the_elem_a > the_a > suc > semiri1621563631at_int > pname > pn > plus_plus_nat > plus_plus_int > pls > ord_less_nat > ord_less_int > ord_less_eq_nat > ord_less_eq_int > ord_less_eq_bool > ord_le951220754t_bool > ord_le675606854l_bool > ord_le382113706t_bool > ord_le313189616e_bool > ord_le1912455174t_bool > ord_le1848167016l_bool > ord_le1568362934t_bool > ord_le1454342156l_bool > ord_le1375614389l_bool > ord_le1311769555a_bool > one_one_nat > one_one_int > nat_tsub > nat_neg > na > minus_minus_nat > minus_minus_int > minus_2067140911t_bool > minus_1762468890a_bool > minus_1449998731t_bool > minus_1015773161e_bool > mgt_call > member_pname > member_nat > member_int > member_fun_nat_bool > member_fun_int_bool > member_fun_a_bool > member_a > member799430823e_bool > insert_pname > insert_nat > insert_int > insert_fun_nat_bool > insert_fun_int_bool > insert_fun_a_bool > insert_a > insert1325755072e_bool > g > finite_finite_pname > finite_finite_nat > finite_finite_int > finite_finite_a > finite_card_pname > finite_card_nat > finite_card_int > finite_card_a > finite786885583l_bool > finite595471783e_bool > finite347923420a_bool > finite346522414t_bool > finite2095298929l_bool > finite2012431853t_bool > finite1876863882t_bool > finite1701474069l_bool > finite1395289673t_bool > finite1381704300l_bool > finite1340463720e_bool > finite1306199131a_bool > fimplies > fequal_pname > fequal_nat > fequal_int > fequal_fun_nat_bool > fequal_fun_int_bool > fequal_fun_a_bool > fequal_a > fequal533582459e_bool > fdisj > fconj > fTrue > fNot > fFalse > cOMBI_nat > bot_bot_nat > bot_bot_fun_nat_bool > bot_bot_fun_int_bool > bot_bot_fun_a_bool > bot_bot_bool > bot_bo844097828e_bool > bool > #skF_13 > #skF_205 > #skF_217 > #skF_142 > #skF_91 > #skF_135 > #skF_108 > #skF_76 > #skF_134 > #skF_175 > #skF_32 > #skF_26 > #skF_49 > #skF_24 > #skF_106 > #skF_62 > #skF_111 > #skF_64 > #skF_75 > #skF_38 > #skF_182 > #skF_17 > #skF_190 > #skF_31 > #skF_130 > #skF_1 > #skF_166 > #skF_33 > #skF_57 > #skF_148 > #skF_56 > #skF_44 > #skF_220 > #skF_114 > #skF_193 > #skF_113 > #skF_124 > #skF_6 > #skF_141 > #skF_216 > #skF_152 > #skF_206 > #skF_27 > #skF_122 > #skF_155 > #skF_178 > #skF_103 > #skF_129 > #skF_186 > #skF_198 > #skF_53 > #skF_18 > #skF_47 > #skF_188 > #skF_143 > #skF_149 > #skF_112 > #skF_202 > #skF_176 > #skF_63 > #skF_144 > #skF_72 > #skF_183 > #skF_127 > #skF_203 > #skF_165 > #skF_67 > #skF_22 > #skF_140 > #skF_97 > #skF_12 > #skF_70 > #skF_199 > #skF_131 > #skF_66 > #skF_82 > #skF_115 > #skF_209 > #skF_180 > #skF_52 > #skF_60 > #skF_100 > #skF_208 > #skF_136 > #skF_121 > #skF_65 > #skF_4 > #skF_79 > #skF_36 > #skF_160 > #skF_138 > #skF_177 > #skF_39 > #skF_69 > #skF_201 > #skF_147 > #skF_29 > #skF_224 > #skF_225 > #skF_151 > #skF_102 > #skF_187 > #skF_74 > #skF_169 > #skF_197 > #skF_93 > #skF_168 > #skF_98 > #skF_30 > #skF_48 > #skF_78 > #skF_173 > #skF_200 > #skF_23 > #skF_45 > #skF_185 > #skF_210 > #skF_156 > #skF_35 > #skF_107 > #skF_126 > #skF_5 > #skF_19 > #skF_167 > #skF_215 > #skF_150 > #skF_132 > #skF_84 > #skF_54 > #skF_128 > #skF_2 > #skF_110 > #skF_196 > #skF_37 > #skF_153 > #skF_184 > #skF_92 > #skF_164 > #skF_11 > #skF_162 > #skF_211 > #skF_90 > #skF_195 > #skF_191 > #skF_43 > #skF_7 > #skF_118 > #skF_170 > #skF_192 > #skF_9 > #skF_20 > #skF_51 > #skF_221 > #skF_189 > #skF_146 > #skF_71 > #skF_86 > #skF_218 > #skF_145 > #skF_34 > #skF_15 > #skF_40 > #skF_213 > #skF_83 > #skF_96 > #skF_133 > #skF_14 > #skF_89 > #skF_81 > #skF_171 > #skF_204 > #skF_174 > #skF_59 > #skF_207 > #skF_104 > #skF_58 > #skF_181 > #skF_95 > #skF_137 > #skF_50 > #skF_94 > #skF_99 > #skF_172 > #skF_3 > #skF_222 > #skF_55 > #skF_157 > #skF_80 > #skF_46 > #skF_77 > #skF_163 > #skF_101 > #skF_223 > #skF_119 > #skF_179 > #skF_219 > #skF_88 > #skF_161 > #skF_105 > #skF_154 > #skF_214 > #skF_68 > #skF_116 > #skF_123 > #skF_8 > #skF_159 > #skF_158 > #skF_25 > #skF_41 > #skF_87 > #skF_212 > #skF_120 > #skF_21 > #skF_61 > #skF_28 > #skF_73 > #skF_139 > #skF_125 > #skF_42 > #skF_194 > #skF_117 > #skF_16 > #skF_10 > #skF_85 > #skF_109
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(fconj,type,
fconj: $i ).
tff(hAPP_f559147733l_bool,type,
hAPP_f559147733l_bool: ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i * $i ) > $i ).
tff(hAPP_i68813070l_bool,type,
hAPP_i68813070l_bool: ( $i * $i ) > $i ).
tff(image_a_pname,type,
image_a_pname: ( $i * $i ) > $i ).
tff('#skF_205',type,
'#skF_205': ( $i * $i * $i ) > $i ).
tff('#skF_217',type,
'#skF_217': $i > $i ).
tff(hAPP_p905327722e_bool,type,
hAPP_p905327722e_bool: ( $i * $i ) > $i ).
tff(cOMBK_a_pname,type,
cOMBK_a_pname: $i > $i ).
tff('#skF_142',type,
'#skF_142': ( $i * $i * $i ) > $i ).
tff(cOMBC_316919022l_bool,type,
cOMBC_316919022l_bool: $i > $i ).
tff(undefi17486888e_bool,type,
undefi17486888e_bool: $i > $i ).
tff('#skF_91',type,
'#skF_91': $i > $i ).
tff('#skF_135',type,
'#skF_135': $i > $i ).
tff('#skF_108',type,
'#skF_108': ( $i * $i * $i ) > $i ).
tff('#skF_76',type,
'#skF_76': ( $i * $i ) > $i ).
tff('#skF_134',type,
'#skF_134': $i > $i ).
tff(is_a,type,
is_a: $i > $o ).
tff('#skF_175',type,
'#skF_175': $i > $i ).
tff(insert_fun_int_bool,type,
insert_fun_int_bool: $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i ) > $i ).
tff(hAPP_f510955609l_bool,type,
hAPP_f510955609l_bool: ( $i * $i ) > $i ).
tff(nat_tsub,type,
nat_tsub: $i ).
tff(image_nat_a,type,
image_nat_a: ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': ( $i * $i * $i ) > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i * $i ) > $i ).
tff(hAPP_a_fun_int_bool,type,
hAPP_a_fun_int_bool: ( $i * $i ) > $i ).
tff(ord_less_nat,type,
ord_less_nat: $i ).
tff(cOMBB_1273333599bool_a,type,
cOMBB_1273333599bool_a: ( $i * $i ) > $i ).
tff('#skF_106',type,
'#skF_106': ( $i * $i * $i ) > $i ).
tff(undefi1699038445l_bool,type,
undefi1699038445l_bool: $i > $i ).
tff('#skF_62',type,
'#skF_62': ( $i * $i ) > $i ).
tff(cOMBB_1974511970t_bool,type,
cOMBB_1974511970t_bool: ( $i * $i ) > $i ).
tff('#skF_111',type,
'#skF_111': ( $i * $i ) > $i ).
tff(collect_fun_int_bool,type,
collect_fun_int_bool: $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('#skF_75',type,
'#skF_75': ( $i * $i ) > $i ).
tff(ord_le675606854l_bool,type,
ord_le675606854l_bool: $i ).
tff(hAPP_f1048215610t_bool,type,
hAPP_f1048215610t_bool: ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i * $i ) > $i ).
tff(cOMBB_bool_bool_a,type,
cOMBB_bool_bool_a: ( $i * $i ) > $i ).
tff(cOMBK_bool_int,type,
cOMBK_bool_int: $i > $i ).
tff(image_a_int,type,
image_a_int: ( $i * $i ) > $i ).
tff(hAPP_f1812805200t_bool,type,
hAPP_f1812805200t_bool: ( $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_p1170154830_pname,type,
hAPP_p1170154830_pname: ( $i * $i ) > $i ).
tff(hAPP_int_a,type,
hAPP_int_a: ( $i * $i ) > $i ).
tff(hAPP_fun_a_bool_nat,type,
hAPP_fun_a_bool_nat: ( $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(one_one_int,type,
one_one_int: $i ).
tff(image_1133522419ol_int,type,
image_1133522419ol_int: ( $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(plus_plus_nat,type,
plus_plus_nat: $i ).
tff('#skF_182',type,
'#skF_182': $i > $i ).
tff(hAPP_f1320879424l_bool,type,
hAPP_f1320879424l_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(member_fun_int_bool,type,
member_fun_int_bool: $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(finite_folding_one_a,type,
finite_folding_one_a: ( $i * $i ) > $i ).
tff('#skF_190',type,
'#skF_190': ( $i * $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(hAPP_f1038053735a_bool,type,
hAPP_f1038053735a_bool: ( $i * $i ) > $i ).
tff('#skF_130',type,
'#skF_130': $i > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i * $i ) > $i ).
tff(hAPP_f1748468828l_bool,type,
hAPP_f1748468828l_bool: ( $i * $i ) > $i ).
tff('#skF_166',type,
'#skF_166': ( $i * $i * $i ) > $i ).
tff(image_876012084bool_a,type,
image_876012084bool_a: ( $i * $i ) > $i ).
tff(hAPP_int_fun_a_bool,type,
hAPP_int_fun_a_bool: ( $i * $i ) > $i ).
tff(cOMBK_int_nat,type,
cOMBK_int_nat: $i > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(hAPP_n1006566506l_bool,type,
hAPP_n1006566506l_bool: ( $i * $i ) > $i ).
tff(collec707592106l_bool,type,
collec707592106l_bool: $i > $i ).
tff(cOMBI_nat,type,
cOMBI_nat: $i ).
tff('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff(hAPP_f274826591t_bool,type,
hAPP_f274826591t_bool: ( $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('#skF_148',type,
'#skF_148': ( $i * $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('#skF_44',type,
'#skF_44': ( $i * $i * $i ) > $i ).
tff(hAPP_f937997336l_bool,type,
hAPP_f937997336l_bool: ( $i * $i ) > $i ).
tff('#skF_220',type,
'#skF_220': ( $i * $i * $i ) > $i ).
tff(the_elem_nat,type,
the_elem_nat: $i ).
tff(hAPP_i2112223885l_bool,type,
hAPP_i2112223885l_bool: ( $i * $i ) > $i ).
tff('#skF_114',type,
'#skF_114': ( $i * $i ) > $i ).
tff(hAPP_i1587699435l_bool,type,
hAPP_i1587699435l_bool: ( $i * $i ) > $i ).
tff('#skF_193',type,
'#skF_193': ( $i * $i * $i ) > $i ).
tff(the_elem_int,type,
the_elem_int: $i ).
tff(finite346522414t_bool,type,
finite346522414t_bool: $i ).
tff(hAPP_f2050579477a_bool,type,
hAPP_f2050579477a_bool: ( $i * $i ) > $i ).
tff(image_1431733819ol_nat,type,
image_1431733819ol_nat: ( $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('#skF_113',type,
'#skF_113': ( $i * $i ) > $i ).
tff(hAPP_i7355787e_bool,type,
hAPP_i7355787e_bool: ( $i * $i ) > $i ).
tff(finite1819937229idem_a,type,
finite1819937229idem_a: ( $i * $i ) > $i ).
tff(pls,type,
pls: $i ).
tff(cOMBC_a_a_bool,type,
cOMBC_a_a_bool: $i > $i ).
tff(cOMBC_int_a_bool,type,
cOMBC_int_a_bool: $i > $i ).
tff(finite595471783e_bool,type,
finite595471783e_bool: $i ).
tff(image_fun_a_bool_nat,type,
image_fun_a_bool_nat: ( $i * $i ) > $i ).
tff('#skF_124',type,
'#skF_124': ( $i * $i ) > $i ).
tff(hAPP_f957591787ol_nat,type,
hAPP_f957591787ol_nat: ( $i * $i ) > $i ).
tff(hAPP_f1935102916l_bool,type,
hAPP_f1935102916l_bool: ( $i * $i ) > $i ).
tff(cOMBB_955900739ol_nat,type,
cOMBB_955900739ol_nat: ( $i * $i ) > $i ).
tff(number_number_of_nat,type,
number_number_of_nat: $i > $i ).
tff(finite_card_int,type,
finite_card_int: $i ).
tff(member_fun_a_bool,type,
member_fun_a_bool: $i ).
tff(finite_finite_int,type,
finite_finite_int: $i ).
tff(minus_minus_nat,type,
minus_minus_nat: $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(hAPP_f1772781669l_bool,type,
hAPP_f1772781669l_bool: ( $i * $i ) > $i ).
tff('#skF_141',type,
'#skF_141': $i > $i ).
tff('#skF_216',type,
'#skF_216': $i > $i ).
tff('#skF_152',type,
'#skF_152': ( $i * $i ) > $i ).
tff('#skF_206',type,
'#skF_206': ( $i * $i * $i * $i ) > $i ).
tff(the_com,type,
the_com: $i > $i ).
tff(hAPP_f285962445l_bool,type,
hAPP_f285962445l_bool: ( $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(hAPP_a_fun_a_a,type,
hAPP_a_fun_a_a: ( $i * $i ) > $i ).
tff('#skF_155',type,
'#skF_155': ( $i * $i ) > $i ).
tff('#skF_178',type,
'#skF_178': ( $i * $i * $i ) > $i ).
tff(hAPP_a1206381875a_bool,type,
hAPP_a1206381875a_bool: ( $i * $i ) > $i ).
tff('#skF_103',type,
'#skF_103': ( $i * $i * $i ) > $i ).
tff('#skF_129',type,
'#skF_129': $i > $i ).
tff(insert_nat,type,
insert_nat: $i ).
tff(cOMBB_607112096ol_int,type,
cOMBB_607112096ol_int: ( $i * $i ) > $i ).
tff(hAPP_i1948725293t_bool,type,
hAPP_i1948725293t_bool: ( $i * $i ) > $i ).
tff('#skF_186',type,
'#skF_186': ( $i * $i ) > $i ).
tff(insert1325755072e_bool,type,
insert1325755072e_bool: $i ).
tff(cOMBB_1418110531ol_int,type,
cOMBB_1418110531ol_int: ( $i * $i ) > $i ).
tff('#skF_198',type,
'#skF_198': ( $i * $i * $i ) > $i ).
tff('#skF_53',type,
'#skF_53': ( $i * $i ) > $i ).
tff(hAPP_f1593524852l_bool,type,
hAPP_f1593524852l_bool: ( $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(finite1432773856em_int,type,
finite1432773856em_int: ( $i * $i ) > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i * $i ) > $i ).
tff(undefi64961550l_bool,type,
undefi64961550l_bool: $i > $i ).
tff(the_a,type,
the_a: $i ).
tff(bot_bot_fun_a_bool,type,
bot_bot_fun_a_bool: $i ).
tff(image_int_fun_a_bool,type,
image_int_fun_a_bool: ( $i * $i ) > $i ).
tff('#skF_188',type,
'#skF_188': ( $i * $i * $i ) > $i ).
tff(finite1306199131a_bool,type,
finite1306199131a_bool: $i ).
tff(abs_abs_int,type,
abs_abs_int: $i > $i ).
tff('#skF_143',type,
'#skF_143': ( $i * $i * $i ) > $i ).
tff(finite1381704300l_bool,type,
finite1381704300l_bool: $i ).
tff(cOMBC_nat_int_bool,type,
cOMBC_nat_int_bool: $i > $i ).
tff('#skF_149',type,
'#skF_149': ( $i * $i * $i ) > $i ).
tff('#skF_112',type,
'#skF_112': ( $i * $i ) > $i ).
tff('#skF_202',type,
'#skF_202': ( $i * $i * $i ) > $i ).
tff(cOMBB_800536526ol_nat,type,
cOMBB_800536526ol_nat: ( $i * $i ) > $i ).
tff(image_62782965_pname,type,
image_62782965_pname: ( $i * $i ) > $i ).
tff(cOMBC_1058051404l_bool,type,
cOMBC_1058051404l_bool: $i > $i ).
tff(cOMBC_1732670874l_bool,type,
cOMBC_1732670874l_bool: $i > $i ).
tff(ord_less_eq_int,type,
ord_less_eq_int: $i ).
tff('#skF_176',type,
'#skF_176': ( $i * $i ) > $i ).
tff('#skF_63',type,
'#skF_63': ( $i * $i ) > $i ).
tff(mgt,type,
mgt: $i > $i ).
tff(ord_le1311769555a_bool,type,
ord_le1311769555a_bool: $i ).
tff('#skF_144',type,
'#skF_144': ( $i * $i * $i ) > $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(hAPP_nat_fun_nat_nat,type,
hAPP_nat_fun_nat_nat: ( $i * $i ) > $i ).
tff(finite_card_pname,type,
finite_card_pname: $i ).
tff(ord_le382113706t_bool,type,
ord_le382113706t_bool: $i ).
tff(image_pname_nat,type,
image_pname_nat: ( $i * $i ) > $i ).
tff(fequal_nat,type,
fequal_nat: $i ).
tff(image_2069007511ol_int,type,
image_2069007511ol_int: ( $i * $i ) > $i ).
tff('#skF_183',type,
'#skF_183': $i > $i ).
tff('#skF_127',type,
'#skF_127': $i > $i ).
tff('#skF_203',type,
'#skF_203': ( $i * $i * $i ) > $i ).
tff(cOMBC_1693257480l_bool,type,
cOMBC_1693257480l_bool: $i > $i ).
tff('#skF_165',type,
'#skF_165': ( $i * $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(cOMBS_int_bool_bool,type,
cOMBS_int_bool_bool: ( $i * $i ) > $i ).
tff(finite795500164em_nat,type,
finite795500164em_nat: ( $i * $i ) > $i ).
tff(cOMBB_444170502t_bool,type,
cOMBB_444170502t_bool: ( $i * $i ) > $i ).
tff(finite1395289673t_bool,type,
finite1395289673t_bool: $i ).
tff('#skF_140',type,
'#skF_140': $i > $i ).
tff(cOMBC_int_int_bool,type,
cOMBC_int_int_bool: $i > $i ).
tff('#skF_97',type,
'#skF_97': $i > $i ).
tff(insert_pname,type,
insert_pname: $i ).
tff(hAPP_int_int,type,
hAPP_int_int: ( $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff('#skF_70',type,
'#skF_70': ( $i * $i ) > $i ).
tff('#skF_199',type,
'#skF_199': ( $i * $i * $i ) > $i ).
tff('#skF_131',type,
'#skF_131': $i > $i ).
tff(insert_fun_nat_bool,type,
insert_fun_nat_bool: $i ).
tff('#skF_66',type,
'#skF_66': ( $i * $i * $i ) > $i ).
tff(cOMBB_647938656_pname,type,
cOMBB_647938656_pname: ( $i * $i ) > $i ).
tff(finite1876863882t_bool,type,
finite1876863882t_bool: $i ).
tff('#skF_82',type,
'#skF_82': ( $i * $i ) > $i ).
tff('#skF_115',type,
'#skF_115': ( $i * $i ) > $i ).
tff(image_nat_int,type,
image_nat_int: ( $i * $i ) > $i ).
tff('#skF_209',type,
'#skF_209': $i > $i ).
tff(hAPP_n1082236369t_bool,type,
hAPP_n1082236369t_bool: ( $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('#skF_180',type,
'#skF_180': ( $i * $i ) > $i ).
tff(cOMBS_a_bool_bool,type,
cOMBS_a_bool_bool: ( $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': ( $i * $i * $i ) > $i ).
tff(cOMBB_516767136ol_int,type,
cOMBB_516767136ol_int: ( $i * $i ) > $i ).
tff('#skF_60',type,
'#skF_60': ( $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(hAPP_f1791771145a_bool,type,
hAPP_f1791771145a_bool: ( $i * $i ) > $i ).
tff(image_fun_int_bool_a,type,
image_fun_int_bool_a: ( $i * $i ) > $i ).
tff('#skF_208',type,
'#skF_208': ( $i * $i ) > $i ).
tff(is_fun1661590463l_bool,type,
is_fun1661590463l_bool: $i > $o ).
tff('#skF_136',type,
'#skF_136': $i > $i ).
tff(cOMBB_1652995168ol_int,type,
cOMBB_1652995168ol_int: ( $i * $i ) > $i ).
tff(bot_bot_fun_nat_bool,type,
bot_bot_fun_nat_bool: $i ).
tff(hAPP_f587666462l_bool,type,
hAPP_f587666462l_bool: ( $i * $i ) > $i ).
tff(finite1340463720e_bool,type,
finite1340463720e_bool: $i ).
tff('#skF_121',type,
'#skF_121': ( $i * $i ) > $i ).
tff(u,type,
u: $i ).
tff('#skF_65',type,
'#skF_65': ( $i * $i ) > $i ).
tff(bool,type,
bool: $i ).
tff(hAPP_nat_int,type,
hAPP_nat_int: ( $i * $i ) > $i ).
tff(cOMBC_620423604l_bool,type,
cOMBC_620423604l_bool: $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(cOMBB_1761098400ol_int,type,
cOMBB_1761098400ol_int: ( $i * $i ) > $i ).
tff('#skF_79',type,
'#skF_79': ( $i * $i * $i ) > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i ) > $i ).
tff(hAPP_f1594865479ol_int,type,
hAPP_f1594865479ol_int: ( $i * $i ) > $i ).
tff(cOMBB_int_bool_nat,type,
cOMBB_int_bool_nat: ( $i * $i ) > $i ).
tff(image_1551609309ol_nat,type,
image_1551609309ol_nat: ( $i * $i ) > $i ).
tff('#skF_160',type,
'#skF_160': ( $i * $i ) > $i ).
tff(undefined_pname,type,
undefined_pname: $i > $i ).
tff(undefined_fun_a_bool,type,
undefined_fun_a_bool: $i > $i ).
tff('#skF_138',type,
'#skF_138': $i > $i ).
tff(hAPP_pname_bool,type,
hAPP_pname_bool: ( $i * $i ) > $i ).
tff('#skF_177',type,
'#skF_177': ( $i * $i * $i ) > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i * $i ) > $i ).
tff(cOMBC_1284144636l_bool,type,
cOMBC_1284144636l_bool: $i > $i ).
tff(hAPP_p61793385e_bool,type,
hAPP_p61793385e_bool: ( $i * $i ) > $i ).
tff(image_a_fun_int_bool,type,
image_a_fun_int_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_201',type,
'#skF_201': ( $i * $i * $i ) > $i ).
tff(plus_plus_int,type,
plus_plus_int: $i ).
tff('#skF_147',type,
'#skF_147': ( $i * $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_224',type,
'#skF_224': ( $i * $i * $i * $i ) > $i ).
tff(collect_pname,type,
collect_pname: $i > $i ).
tff(nat_neg,type,
nat_neg: $i ).
tff(finite_card_a,type,
finite_card_a: $i ).
tff(image_a_nat,type,
image_a_nat: ( $i * $i ) > $i ).
tff('#skF_225',type,
'#skF_225': ( $i * $i * $i * $i ) > $i ).
tff(hAPP_f1434722111l_bool,type,
hAPP_f1434722111l_bool: ( $i * $i ) > $i ).
tff('#skF_151',type,
'#skF_151': ( $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(cOMBC_94739984l_bool,type,
cOMBC_94739984l_bool: $i > $i ).
tff(cOMBS_350070575l_bool,type,
cOMBS_350070575l_bool: ( $i * $i ) > $i ).
tff(hAPP_i1718399025l_bool,type,
hAPP_i1718399025l_bool: ( $i * $i ) > $i ).
tff(cOMBB_1123824708ol_nat,type,
cOMBB_1123824708ol_nat: ( $i * $i ) > $i ).
tff(insert_a,type,
insert_a: $i ).
tff(hAPP_f55526627ol_nat,type,
hAPP_f55526627ol_nat: ( $i * $i ) > $i ).
tff('#skF_102',type,
'#skF_102': ( $i * $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('#skF_187',type,
'#skF_187': ( $i * $i * $i ) > $i ).
tff('#skF_74',type,
'#skF_74': ( $i * $i * $i ) > $i ).
tff(cOMBC_1753430397l_bool,type,
cOMBC_1753430397l_bool: $i > $i ).
tff(fun,type,
fun: ( $i * $i ) > $i ).
tff(number_number_of_int,type,
number_number_of_int: $i > $i ).
tff(image_fun_a_bool_int,type,
image_fun_a_bool_int: ( $i * $i ) > $i ).
tff('#skF_169',type,
'#skF_169': ( $i * $i ) > $i ).
tff(cOMBC_595898202l_bool,type,
cOMBC_595898202l_bool: $i > $i ).
tff('#skF_197',type,
'#skF_197': ( $i * $i * $i ) > $i ).
tff(hAPP_f1388330588e_bool,type,
hAPP_f1388330588e_bool: ( $i * $i ) > $i ).
tff(ord_le1848167016l_bool,type,
ord_le1848167016l_bool: $i ).
tff(hAPP_f1730770594t_bool,type,
hAPP_f1730770594t_bool: ( $i * $i ) > $i ).
tff('#skF_93',type,
'#skF_93': $i > $i ).
tff('#skF_168',type,
'#skF_168': ( $i * $i * $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('#skF_48',type,
'#skF_48': ( $i * $i * $i ) > $i ).
tff('#skF_78',type,
'#skF_78': ( $i * $i ) > $i ).
tff(minus_1449998731t_bool,type,
minus_1449998731t_bool: $i ).
tff(hAPP_n850744903l_bool,type,
hAPP_n850744903l_bool: ( $i * $i ) > $i ).
tff('#skF_173',type,
'#skF_173': ( $i * $i ) > $i ).
tff('#skF_200',type,
'#skF_200': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_45',type,
'#skF_45': ( $i * $i * $i ) > $i ).
tff(cOMBC_605892544l_bool,type,
cOMBC_605892544l_bool: $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(hAPP_f1721100032l_bool,type,
hAPP_f1721100032l_bool: ( $i * $i ) > $i ).
tff(collec1613912337l_bool,type,
collec1613912337l_bool: $i > $i ).
tff(one_one_nat,type,
one_one_nat: $i ).
tff(hAPP_f628503027l_bool,type,
hAPP_f628503027l_bool: ( $i * $i ) > $i ).
tff(is_fun_pname_bool,type,
is_fun_pname_bool: $i > $o ).
tff(bot_bot_nat,type,
bot_bot_nat: $i ).
tff(image_pname_int,type,
image_pname_int: ( $i * $i ) > $i ).
tff(the_elem_a,type,
the_elem_a: $i ).
tff(image_1556378401t_bool,type,
image_1556378401t_bool: ( $i * $i ) > $i ).
tff(image_892525857t_bool,type,
image_892525857t_bool: ( $i * $i ) > $i ).
tff('#skF_185',type,
'#skF_185': $i > $i ).
tff('#skF_210',type,
'#skF_210': $i > $i ).
tff(ord_less_eq_bool,type,
ord_less_eq_bool: $i ).
tff('#skF_156',type,
'#skF_156': ( $i * $i ) > $i ).
tff(hAPP_pname_a,type,
hAPP_pname_a: ( $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $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_int_fun_int_int,type,
hAPP_int_fun_int_int: ( $i * $i ) > $i ).
tff(member_pname,type,
member_pname: $i ).
tff(zero_zero_int,type,
zero_zero_int: $i ).
tff('#skF_126',type,
'#skF_126': $i > $i ).
tff(hAPP_p393069232l_bool,type,
hAPP_p393069232l_bool: ( $i * $i ) > $i ).
tff(ord_less_eq_nat,type,
ord_less_eq_nat: $i ).
tff(collect_int,type,
collect_int: $i > $i ).
tff(image_1512837979t_bool,type,
image_1512837979t_bool: ( $i * $i ) > $i ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(hAPP_f183368031t_bool,type,
hAPP_f183368031t_bool: ( $i * $i ) > $i ).
tff(hAPP_f1948010709l_bool,type,
hAPP_f1948010709l_bool: ( $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff('#skF_167',type,
'#skF_167': ( $i * $i * $i ) > $i ).
tff(hAPP_f1223193598t_bool,type,
hAPP_f1223193598t_bool: ( $i * $i ) > $i ).
tff(minus_2067140911t_bool,type,
minus_2067140911t_bool: $i ).
tff('#skF_215',type,
'#skF_215': $i > $i ).
tff(cOMBC_394484100a_bool,type,
cOMBC_394484100a_bool: $i > $i ).
tff(hAPP_f2117159681l_bool,type,
hAPP_f2117159681l_bool: ( $i * $i ) > $i ).
tff('#skF_150',type,
'#skF_150': ( $i * $i ) > $i ).
tff(bot_bot_fun_int_bool,type,
bot_bot_fun_int_bool: $i ).
tff(cOMBC_348868698l_bool,type,
cOMBC_348868698l_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(nat_case_nat,type,
nat_case_nat: ( $i * $i ) > $i ).
tff('#skF_132',type,
'#skF_132': $i > $i ).
tff(ord_le1568362934t_bool,type,
ord_le1568362934t_bool: $i ).
tff('#skF_84',type,
'#skF_84': ( $i * $i ) > $i ).
tff('#skF_54',type,
'#skF_54': ( $i * $i ) > $i ).
tff(fequal_int,type,
fequal_int: $i ).
tff('#skF_128',type,
'#skF_128': $i > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i * $i ) > $i ).
tff('#skF_110',type,
'#skF_110': ( $i * $i ) > $i ).
tff(image_41399353ol_int,type,
image_41399353ol_int: ( $i * $i ) > $i ).
tff('#skF_196',type,
'#skF_196': ( $i * $i * $i ) > $i ).
tff(fequal_a,type,
fequal_a: $i ).
tff(finite1626084323ne_int,type,
finite1626084323ne_int: ( $i * $i ) > $i ).
tff(hAPP_f448129468l_bool,type,
hAPP_f448129468l_bool: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $i * $i ) > $i ).
tff(image_nat_pname,type,
image_nat_pname: ( $i * $i ) > $i ).
tff(finite786885583l_bool,type,
finite786885583l_bool: $i ).
tff('#skF_153',type,
'#skF_153': ( $i * $i ) > $i ).
tff('#skF_184',type,
'#skF_184': ( $i * $i ) > $i ).
tff(hAPP_f284875647l_bool,type,
hAPP_f284875647l_bool: ( $i * $i ) > $i ).
tff(the_nat,type,
the_nat: $i ).
tff('#skF_92',type,
'#skF_92': $i > $i ).
tff('#skF_164',type,
'#skF_164': $i > $i ).
tff(cOMBK_bool_a,type,
cOMBK_bool_a: $i > $i ).
tff(cOMBB_1628441366ol_nat,type,
cOMBB_1628441366ol_nat: ( $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('#skF_162',type,
'#skF_162': ( $i * $i ) > $i ).
tff('#skF_211',type,
'#skF_211': $i > $i ).
tff(finite2012431853t_bool,type,
finite2012431853t_bool: $i ).
tff(hAPP_f1805168059t_bool,type,
hAPP_f1805168059t_bool: ( $i * $i ) > $i ).
tff(minus_minus_int,type,
minus_minus_int: $i ).
tff('#skF_90',type,
'#skF_90': $i > $i ).
tff(insert_fun_a_bool,type,
insert_fun_a_bool: $i ).
tff(hAPP_f696928925ol_nat,type,
hAPP_f696928925ol_nat: ( $i * $i ) > $i ).
tff('#skF_195',type,
'#skF_195': ( $i * $i * $i ) > $i ).
tff(collec1409689523l_bool,type,
collec1409689523l_bool: $i > $i ).
tff(hAPP_f521865025ol_nat,type,
hAPP_f521865025ol_nat: ( $i * $i ) > $i ).
tff('#skF_191',type,
'#skF_191': ( $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i * $i ) > $i ).
tff(if_nat,type,
if_nat: $i > $i ).
tff(is_fun949378684l_bool,type,
is_fun949378684l_bool: $i > $o ).
tff(hAPP_f215623910l_bool,type,
hAPP_f215623910l_bool: ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(times_times_nat,type,
times_times_nat: $i ).
tff(hAPP_f1664156314l_bool,type,
hAPP_f1664156314l_bool: ( $i * $i ) > $i ).
tff(pn,type,
pn: $i ).
tff(cOMBC_1848398772l_bool,type,
cOMBC_1848398772l_bool: $i > $i ).
tff(fdisj,type,
fdisj: $i ).
tff(p,type,
p: $i > $i ).
tff(ord_le951220754t_bool,type,
ord_le951220754t_bool: $i ).
tff('#skF_118',type,
'#skF_118': ( $i * $i ) > $i ).
tff(image_pname_a,type,
image_pname_a: ( $i * $i ) > $i ).
tff('#skF_170',type,
'#skF_170': ( $i * $i ) > $i ).
tff(hAPP_f317860125l_bool,type,
hAPP_f317860125l_bool: ( $i * $i ) > $i ).
tff(cOMBS_1912792529l_bool,type,
cOMBS_1912792529l_bool: ( $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(fequal_fun_int_bool,type,
fequal_fun_int_bool: $i ).
tff('#skF_192',type,
'#skF_192': ( $i * $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(cOMBC_178881787t_bool,type,
cOMBC_178881787t_bool: $i > $i ).
tff(image_fun_a_bool_a,type,
image_fun_a_bool_a: ( $i * $i ) > $i ).
tff(hAPP_f449020825t_bool,type,
hAPP_f449020825t_bool: ( $i * $i ) > $i ).
tff('#skF_51',type,
'#skF_51': ( $i * $i * $i ) > $i ).
tff(image_1655916159e_bool,type,
image_1655916159e_bool: ( $i * $i ) > $i ).
tff('#skF_221',type,
'#skF_221': ( $i * $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(cOMBC_1683390479t_bool,type,
cOMBC_1683390479t_bool: $i > $i ).
tff(hAPP_n609083369l_bool,type,
hAPP_n609083369l_bool: ( $i * $i ) > $i ).
tff('#skF_189',type,
'#skF_189': ( $i * $i * $i ) > $i ).
tff(hAPP_i418383825t_bool,type,
hAPP_i418383825t_bool: ( $i * $i ) > $i ).
tff(mgt_call,type,
mgt_call: $i ).
tff('#skF_146',type,
'#skF_146': ( $i * $i * $i ) > $i ).
tff(cOMBS_1035972772l_bool,type,
cOMBS_1035972772l_bool: ( $i * $i ) > $i ).
tff('#skF_71',type,
'#skF_71': ( $i * $i * $i ) > $i ).
tff('#skF_86',type,
'#skF_86': ( $i * $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(cOMBB_313729068ol_int,type,
cOMBB_313729068ol_int: ( $i * $i ) > $i ).
tff(fequal_pname,type,
fequal_pname: $i ).
tff(hAPP_f2009550088ol_nat,type,
hAPP_f2009550088ol_nat: ( $i * $i ) > $i ).
tff(hAPP_i1529485324t_bool,type,
hAPP_i1529485324t_bool: ( $i * $i ) > $i ).
tff('#skF_218',type,
'#skF_218': $i > $i ).
tff('#skF_145',type,
'#skF_145': ( $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i * $i ) > $i ).
tff(hAPP_a_fun_bool_bool,type,
hAPP_a_fun_bool_bool: ( $i * $i ) > $i ).
tff(member_nat,type,
member_nat: $i ).
tff(hAPP_i888906320l_bool,type,
hAPP_i888906320l_bool: ( $i * $i ) > $i ).
tff('#skF_213',type,
'#skF_213': ( $i * $i ) > $i ).
tff(finite_finite_nat,type,
finite_finite_nat: $i ).
tff(hAPP_a93125764e_bool,type,
hAPP_a93125764e_bool: ( $i * $i ) > $i ).
tff(image_int_a,type,
image_int_a: ( $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(finite2095298929l_bool,type,
finite2095298929l_bool: $i ).
tff('#skF_133',type,
'#skF_133': ( $i * $i ) > $i ).
tff(ord_le1912455174t_bool,type,
ord_le1912455174t_bool: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $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(fTrue,type,
fTrue: $i ).
tff(hAPP_nat_fun_a_bool,type,
hAPP_nat_fun_a_bool: ( $i * $i ) > $i ).
tff(image_275383677t_bool,type,
image_275383677t_bool: ( $i * $i ) > $i ).
tff(x_a,type,
x_a: $i ).
tff(cOMBB_375279840ol_int,type,
cOMBB_375279840ol_int: ( $i * $i ) > $i ).
tff('#skF_81',type,
'#skF_81': ( $i * $i ) > $i ).
tff('#skF_171',type,
'#skF_171': ( $i * $i * $i ) > $i ).
tff('#skF_204',type,
'#skF_204': ( $i * $i * $i ) > $i ).
tff('#skF_174',type,
'#skF_174': ( $i * $i ) > $i ).
tff(na,type,
na: $i ).
tff(cOMBS_568398431l_bool,type,
cOMBS_568398431l_bool: ( $i * $i ) > $i ).
tff(finite1282449217_pname,type,
finite1282449217_pname: ( $i * $i ) > $i ).
tff('#skF_59',type,
'#skF_59': ( $i * $i ) > $i ).
tff(hAPP_a_a,type,
hAPP_a_a: ( $i * $i ) > $i ).
tff(hAPP_fun_a_bool_a,type,
hAPP_fun_a_bool_a: ( $i * $i ) > $i ).
tff(bit1,type,
bit1: $i > $i ).
tff('#skF_207',type,
'#skF_207': ( $i * $i * $i ) > $i ).
tff('#skF_104',type,
'#skF_104': ( $i * $i * $i ) > $i ).
tff('#skF_58',type,
'#skF_58': ( $i * $i ) > $i ).
tff('#skF_181',type,
'#skF_181': ( $i * $i ) > $i ).
tff('#skF_95',type,
'#skF_95': $i > $i ).
tff(hAPP_n1025906991e_bool,type,
hAPP_n1025906991e_bool: ( $i * $i ) > $i ).
tff('#skF_137',type,
'#skF_137': $i > $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i * $i ) > $i ).
tff(cOMBB_2026977092ol_nat,type,
cOMBB_2026977092ol_nat: ( $i * $i ) > $i ).
tff('#skF_94',type,
'#skF_94': $i > $i ).
tff('#skF_99',type,
'#skF_99': $i > $i ).
tff(minus_1015773161e_bool,type,
minus_1015773161e_bool: $i ).
tff(hAPP_n1699378549t_bool,type,
hAPP_n1699378549t_bool: ( $i * $i ) > $i ).
tff(member_a,type,
member_a: $i ).
tff('#skF_172',type,
'#skF_172': ( $i * $i * $i ) > $i ).
tff(cOMBB_1897541054_pname,type,
cOMBB_1897541054_pname: ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_222',type,
'#skF_222': ( $i * $i * $i ) > $i ).
tff(finite89670078_pname,type,
finite89670078_pname: ( $i * $i ) > $i ).
tff(ord_less_int,type,
ord_less_int: $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('#skF_55',type,
'#skF_55': ( $i * $i ) > $i ).
tff('#skF_157',type,
'#skF_157': ( $i * $i ) > $i ).
tff('#skF_80',type,
'#skF_80': ( $i * $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': ( $i * $i * $i ) > $i ).
tff('#skF_77',type,
'#skF_77': ( $i * $i ) > $i ).
tff('#skF_163',type,
'#skF_163': ( $i * $i ) > $i ).
tff('#skF_101',type,
'#skF_101': ( $i * $i * $i ) > $i ).
tff(hAPP_f1297739591_pname,type,
hAPP_f1297739591_pname: ( $i * $i ) > $i ).
tff(fequal533582459e_bool,type,
fequal533582459e_bool: $i ).
tff('#skF_223',type,
'#skF_223': ( $i * $i * $i ) > $i ).
tff('#skF_119',type,
'#skF_119': ( $i * $i ) > $i ).
tff(the_int,type,
the_int: $i ).
tff(hAPP_f1570313510t_bool,type,
hAPP_f1570313510t_bool: ( $i * $i ) > $i ).
tff('#skF_179',type,
'#skF_179': ( $i * $i ) > $i ).
tff('#skF_219',type,
'#skF_219': $i > $i ).
tff(image_637364955e_bool,type,
image_637364955e_bool: ( $i * $i ) > $i ).
tff(hAPP_int_bool,type,
hAPP_int_bool: ( $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('#skF_88',type,
'#skF_88': $i > $i ).
tff('#skF_161',type,
'#skF_161': ( $i * $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(is_fun_a_bool,type,
is_fun_a_bool: $i > $o ).
tff(cOMBB_2117322052ol_nat,type,
cOMBB_2117322052ol_nat: ( $i * $i ) > $i ).
tff('#skF_154',type,
'#skF_154': ( $i * $i ) > $i ).
tff(hAPP_f621171935l_bool,type,
hAPP_f621171935l_bool: ( $i * $i ) > $i ).
tff('#skF_214',type,
'#skF_214': $i > $i ).
tff('#skF_68',type,
'#skF_68': ( $i * $i ) > $i ).
tff(image_int_pname,type,
image_int_pname: ( $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(hAPP_f1531278575l_bool,type,
hAPP_f1531278575l_bool: ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i * $i ) > $i ).
tff(times_times_int,type,
times_times_int: $i ).
tff('#skF_159',type,
'#skF_159': ( $i * $i ) > $i ).
tff(finite988810631ne_nat,type,
finite988810631ne_nat: ( $i * $i ) > $i ).
tff(body,type,
body: $i > $i ).
tff(semiri1621563631at_int,type,
semiri1621563631at_int: $i ).
tff(ord_le1375614389l_bool,type,
ord_le1375614389l_bool: $i ).
tff('#skF_158',type,
'#skF_158': ( $i * $i ) > $i ).
tff(zero_zero_nat,type,
zero_zero_nat: $i ).
tff(hAPP_n1512601776t_bool,type,
hAPP_n1512601776t_bool: ( $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_41',type,
'#skF_41': ( $i * $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_bool_bool_int,type,
cOMBB_bool_bool_int: ( $i * $i ) > $i ).
tff(cOMBB_1146692694ol_nat,type,
cOMBB_1146692694ol_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(hAPP_f633452666l_bool,type,
hAPP_f633452666l_bool: ( $i * $i ) > $i ).
tff(cOMBB_2095475776e_bool,type,
cOMBB_2095475776e_bool: ( $i * $i ) > $i ).
tff('#skF_212',type,
'#skF_212': $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('#skF_61',type,
'#skF_61': ( $i * $i ) > $i ).
tff(member_int,type,
member_int: $i ).
tff(minus_1762468890a_bool,type,
minus_1762468890a_bool: $i ).
tff(fFalse,type,
fFalse: $i ).
tff(image_a_a,type,
image_a_a: ( $i * $i ) > $i ).
tff(succ,type,
succ: $i > $i ).
tff(hAPP_f198738859l_bool,type,
hAPP_f198738859l_bool: ( $i * $i ) > $i ).
tff(bot_bo844097828e_bool,type,
bot_bo844097828e_bool: $i ).
tff(image_1854862208_pname,type,
image_1854862208_pname: ( $i * $i ) > $i ).
tff(insert_int,type,
insert_int: $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('#skF_139',type,
'#skF_139': $i > $i ).
tff('#skF_125',type,
'#skF_125': $i > $i ).
tff('#skF_42',type,
'#skF_42': ( $i * $i * $i ) > $i ).
tff('#skF_194',type,
'#skF_194': ( $i * $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_85',type,
'#skF_85': $i > $i ).
tff(hAPP_f921600141ol_nat,type,
hAPP_f921600141ol_nat: ( $i * $i ) > $i ).
tff(finite_finite_a,type,
finite_finite_a: $i ).
tff(hAPP_f1951378235l_bool,type,
hAPP_f1951378235l_bool: ( $i * $i ) > $i ).
tff('#skF_109',type,
'#skF_109': ( $i * $i ) > $i ).
tff(image_819518260e_bool,type,
image_819518260e_bool: ( $i * $i ) > $i ).
tff(collec1015864663l_bool,type,
collec1015864663l_bool: $i > $i ).
tff(f_7713,hypothesis,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
tff(f_3135,axiom,
! [B_3,F,X_1,A] :
( hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1),A))
=> ( ( B_3 = hAPP_pname_a(F,X_1) )
=> hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,B_3),image_pname_a(F,A))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_436_rev__image__eqI) ).
tff(f_7710,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_3196,axiom,
! [X_1,A,B] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1),A)),B))
<=> ( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1),B))
& hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A),B)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_insert__subset) ).
tff(f_7717,negated_conjecture,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_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_4506,plain,
hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(cnfTransformation,[status(thm)],[f_7713]) ).
tff(c_1542,plain,
! [F_1274,X_1_1275,A_1276] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,hAPP_pname_a(F_1274,X_1_1275)),image_pname_a(F_1274,A_1276)))
| ~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,X_1_1275),A_1276)) ),
inference(cnfTransformation,[status(thm)],[f_3135]) ).
tff(c_4500,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_7710]) ).
tff(c_271691,plain,
! [X_1_9387,A_9388,B_9389] :
( hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,X_1_9387),A_9388)),B_9389))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,A_9388),B_9389))
| ~ hBOOL(hAPP_fun_a_bool_bool(hAPP_a85458249l_bool(member_a,X_1_9387),B_9389)) ),
inference(cnfTransformation,[status(thm)],[f_3196]) ).
tff(c_4510,plain,
~ hBOOL(hAPP_fun_a_bool_bool(hAPP_f1631501043l_bool(ord_le1311769555a_bool,hAPP_f2050579477a_bool(hAPP_a1206381875a_bool(insert_a,hAPP_pname_a(mgt_call,pn)),g)),image_pname_a(mgt_call,u))),
inference(cnfTransformation,[status(thm)],[f_7717]) ).
tff(c_271831,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_271691,c_4510]) ).
tff(c_271910,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_4500,c_271831]) ).
tff(c_272012,plain,
~ hBOOL(hAPP_f1664156314l_bool(hAPP_p338031245l_bool(member_pname,pn),u)),
inference(resolution,[status(thm)],[c_1542,c_271910]) ).
tff(c_272022,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4506,c_272012]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWW473+3 : TPTP v9.0.0. Released v5.3.0.
% 0.03/0.13 % 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
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Wed Apr 9 22:25:27 EDT 2025
% 0.12/0.35 % CPUTime :
% 187.12/157.44 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 187.12/157.44
% 187.12/157.44 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------