%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 11:01:44 AM UTC 2026
% Result : Theorem 4.42s 0.99s
% Output : CNFRefutation 4.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 47
% Syntax : Number of formulae : 765 ( 398 unt; 0 typ; 0 def)
% Number of atoms : 4390 (2256 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 13982 (2080 ~;1204 |; 21 &;10557 @)
% ( 54 <=>; 66 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 257 ( 254 usr; 64 con; 0-5 aty)
% Number of variables : 2887 ( 0 ^;2860 !; 27 ?;2887 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_assigned,type,
assigned: $i > $i > $i ).
thf(tp_block_list_char,type,
block_list_char: $i > $i > $i > $i ).
thf(tp_cOMBB_1027621637t_char,type,
cOMBB_1027621637t_char: $i ).
thf(tp_cOMBB_1083177073on_val,type,
cOMBB_1083177073on_val: $i ).
thf(tp_cOMBB_1153617344on_val,type,
cOMBB_1153617344on_val: $i ).
thf(tp_cOMBB_1259202826on_val,type,
cOMBB_1259202826on_val: $i ).
thf(tp_cOMBB_1292453606on_val,type,
cOMBB_1292453606on_val: $i ).
thf(tp_cOMBB_1303934920on_val,type,
cOMBB_1303934920on_val: $i ).
thf(tp_cOMBB_1466662571on_val,type,
cOMBB_1466662571on_val: $i ).
thf(tp_cOMBB_1466889536on_val,type,
cOMBB_1466889536on_val: $i ).
thf(tp_cOMBB_1518282696on_val,type,
cOMBB_1518282696on_val: $i ).
thf(tp_cOMBB_1522540928on_val,type,
cOMBB_1522540928on_val: $i ).
thf(tp_cOMBB_171276332on_val,type,
cOMBB_171276332on_val: $i ).
thf(tp_cOMBB_1718333400on_val,type,
cOMBB_1718333400on_val: $i ).
thf(tp_cOMBB_1750801836on_val,type,
cOMBB_1750801836on_val: $i ).
thf(tp_cOMBB_1759207793on_val,type,
cOMBB_1759207793on_val: $i ).
thf(tp_cOMBB_338347573on_val,type,
cOMBB_338347573on_val: $i ).
thf(tp_cOMBB_364363975on_val,type,
cOMBB_364363975on_val: $i ).
thf(tp_cOMBB_383678192on_val,type,
cOMBB_383678192on_val: $i ).
thf(tp_cOMBB_466903633on_val,type,
cOMBB_466903633on_val: $i ).
thf(tp_cOMBB_635947099on_val,type,
cOMBB_635947099on_val: $i ).
thf(tp_cOMBB_672625589on_val,type,
cOMBB_672625589on_val: $i ).
thf(tp_cOMBB_740252943t_char,type,
cOMBB_740252943t_char: $i ).
thf(tp_cOMBB_819439237t_char,type,
cOMBB_819439237t_char: $i ).
thf(tp_cOMBB_877741809on_val,type,
cOMBB_877741809on_val: $i ).
thf(tp_cOMBC_2027949654l_bool,type,
cOMBC_2027949654l_bool: $i ).
thf(tp_cOMBC_832625297y_bool,type,
cOMBC_832625297y_bool: $i ).
thf(tp_cOMBK_1097134891t_char,type,
cOMBK_1097134891t_char: $i > $i ).
thf(tp_cOMBK_1294242658t_char,type,
cOMBK_1294242658t_char: $i > $i ).
thf(tp_cOMBS_570216337l_bool,type,
cOMBS_570216337l_bool: $i > $i > $i ).
thf(tp_e,type,
e: $i ).
thf(tp_e_a,type,
e_a: $i ).
thf(tp_ea,type,
ea: $i ).
thf(tp_fconj,type,
fconj: $i ).
thf(tp_fun_up1149430426on_val,type,
fun_up1149430426on_val: $i > $i > $i > $i ).
thf(tp_fun_up424764369ion_ty,type,
fun_up424764369ion_ty: $i > $i > $i > $i ).
thf(tp_hAPP_P1116729363l_bool,type,
hAPP_P1116729363l_bool: $i > $i > $i ).
thf(tp_hAPP_P1134042693l_bool,type,
hAPP_P1134042693l_bool: $i > $i > $i ).
thf(tp_hAPP_P159683425l_bool,type,
hAPP_P159683425l_bool: $i > $i > $i ).
thf(tp_hAPP_P1638898323l_bool,type,
hAPP_P1638898323l_bool: $i > $i > $i ).
thf(tp_hAPP_P1708370145l_bool,type,
hAPP_P1708370145l_bool: $i > $i > $i ).
thf(tp_hAPP_P1760219823on_val,type,
hAPP_P1760219823on_val: $i > $i > $i ).
thf(tp_hAPP_P1776198677on_val,type,
hAPP_P1776198677on_val: $i > $i > $i ).
thf(tp_hAPP_P1826803705l_bool,type,
hAPP_P1826803705l_bool: $i > $i > $i ).
thf(tp_hAPP_P1870962205on_val,type,
hAPP_P1870962205on_val: $i > $i > $i ).
thf(tp_hAPP_P1886180715on_val,type,
hAPP_P1886180715on_val: $i > $i > $i ).
thf(tp_hAPP_P1953518277l_bool,type,
hAPP_P1953518277l_bool: $i > $i > $i ).
thf(tp_hAPP_P1988153107l_bool,type,
hAPP_P1988153107l_bool: $i > $i > $i ).
thf(tp_hAPP_P2024243179on_val,type,
hAPP_P2024243179on_val: $i > $i > $i ).
thf(tp_hAPP_P2083594489on_val,type,
hAPP_P2083594489on_val: $i > $i > $i ).
thf(tp_hAPP_P282169671l_bool,type,
hAPP_P282169671l_bool: $i > $i > $i ).
thf(tp_hAPP_P595502227l_bool,type,
hAPP_P595502227l_bool: $i > $i > $i ).
thf(tp_hAPP_P604205461on_val,type,
hAPP_P604205461on_val: $i > $i > $i ).
thf(tp_hAPP_P678729081l_bool,type,
hAPP_P678729081l_bool: $i > $i > $i ).
thf(tp_hAPP_P789556885on_val,type,
hAPP_P789556885on_val: $i > $i > $i ).
thf(tp_hAPP_b589554111l_bool,type,
hAPP_b589554111l_bool: $i > $i > $i ).
thf(tp_hAPP_bool_bool,type,
hAPP_bool_bool: $i > $i > $i ).
thf(tp_hAPP_e108155315on_val,type,
hAPP_e108155315on_val: $i > $i > $i ).
thf(tp_hAPP_e1659493427on_val,type,
hAPP_e1659493427on_val: $i > $i > $i ).
thf(tp_hAPP_e1833980889l_bool,type,
hAPP_e1833980889l_bool: $i > $i > $i ).
thf(tp_hAPP_e500528395l_bool,type,
hAPP_e500528395l_bool: $i > $i > $i ).
thf(tp_hAPP_e592495499l_bool,type,
hAPP_e592495499l_bool: $i > $i > $i ).
thf(tp_hAPP_f1001225811y_bool,type,
hAPP_f1001225811y_bool: $i > $i > $i ).
thf(tp_hAPP_f10074679l_bool,type,
hAPP_f10074679l_bool: $i > $i > $i ).
thf(tp_hAPP_f1008932791l_bool,type,
hAPP_f1008932791l_bool: $i > $i > $i ).
thf(tp_hAPP_f1033709212l_bool,type,
hAPP_f1033709212l_bool: $i > $i > $i ).
thf(tp_hAPP_f1043869573l_bool,type,
hAPP_f1043869573l_bool: $i > $i > $i ).
thf(tp_hAPP_f1050935001l_bool,type,
hAPP_f1050935001l_bool: $i > $i > $i ).
thf(tp_hAPP_f1074020887l_bool,type,
hAPP_f1074020887l_bool: $i > $i > $i ).
thf(tp_hAPP_f1145256474l_bool,type,
hAPP_f1145256474l_bool: $i > $i > $i ).
thf(tp_hAPP_f1175813647l_bool,type,
hAPP_f1175813647l_bool: $i > $i > $i ).
thf(tp_hAPP_f1213370163y_bool,type,
hAPP_f1213370163y_bool: $i > $i > $i ).
thf(tp_hAPP_f1233687287l_bool,type,
hAPP_f1233687287l_bool: $i > $i > $i ).
thf(tp_hAPP_f1241216909l_bool,type,
hAPP_f1241216909l_bool: $i > $i > $i ).
thf(tp_hAPP_f1276548047l_bool,type,
hAPP_f1276548047l_bool: $i > $i > $i ).
thf(tp_hAPP_f1301559543l_bool,type,
hAPP_f1301559543l_bool: $i > $i > $i ).
thf(tp_hAPP_f1308714617l_bool,type,
hAPP_f1308714617l_bool: $i > $i > $i ).
thf(tp_hAPP_f1309113673on_val,type,
hAPP_f1309113673on_val: $i > $i > $i ).
thf(tp_hAPP_f1342895119l_bool,type,
hAPP_f1342895119l_bool: $i > $i > $i ).
thf(tp_hAPP_f1363667773l_bool,type,
hAPP_f1363667773l_bool: $i > $i > $i ).
thf(tp_hAPP_f1438732387l_bool,type,
hAPP_f1438732387l_bool: $i > $i > $i ).
thf(tp_hAPP_f1452292669l_bool,type,
hAPP_f1452292669l_bool: $i > $i > $i ).
thf(tp_hAPP_f1492320500l_bool,type,
hAPP_f1492320500l_bool: $i > $i > $i ).
thf(tp_hAPP_f1520199827on_val,type,
hAPP_f1520199827on_val: $i > $i > $i ).
thf(tp_hAPP_f1523875321l_bool,type,
hAPP_f1523875321l_bool: $i > $i > $i ).
thf(tp_hAPP_f1560238713l_bool,type,
hAPP_f1560238713l_bool: $i > $i > $i ).
thf(tp_hAPP_f1591648613l_bool,type,
hAPP_f1591648613l_bool: $i > $i > $i ).
thf(tp_hAPP_f1617787571l_bool,type,
hAPP_f1617787571l_bool: $i > $i > $i ).
thf(tp_hAPP_f1712766199l_bool,type,
hAPP_f1712766199l_bool: $i > $i > $i ).
thf(tp_hAPP_f1725502637l_bool,type,
hAPP_f1725502637l_bool: $i > $i > $i ).
thf(tp_hAPP_f1727192346on_val,type,
hAPP_f1727192346on_val: $i > $i > $i ).
thf(tp_hAPP_f1734879897l_bool,type,
hAPP_f1734879897l_bool: $i > $i > $i ).
thf(tp_hAPP_f1760682521l_bool,type,
hAPP_f1760682521l_bool: $i > $i > $i ).
thf(tp_hAPP_f181262431l_bool,type,
hAPP_f181262431l_bool: $i > $i > $i ).
thf(tp_hAPP_f1825030711l_bool,type,
hAPP_f1825030711l_bool: $i > $i > $i ).
thf(tp_hAPP_f1840640125on_val,type,
hAPP_f1840640125on_val: $i > $i > $i ).
thf(tp_hAPP_f1849790461on_val,type,
hAPP_f1849790461on_val: $i > $i > $i ).
thf(tp_hAPP_f1863694447l_bool,type,
hAPP_f1863694447l_bool: $i > $i > $i ).
thf(tp_hAPP_f1926378906on_val,type,
hAPP_f1926378906on_val: $i > $i > $i ).
thf(tp_hAPP_f1930574389l_bool,type,
hAPP_f1930574389l_bool: $i > $i > $i ).
thf(tp_hAPP_f1977633121l_bool,type,
hAPP_f1977633121l_bool: $i > $i > $i ).
thf(tp_hAPP_f2011777102l_bool,type,
hAPP_f2011777102l_bool: $i > $i > $i ).
thf(tp_hAPP_f2032347769l_bool,type,
hAPP_f2032347769l_bool: $i > $i > $i ).
thf(tp_hAPP_f204556415on_val,type,
hAPP_f204556415on_val: $i > $i > $i ).
thf(tp_hAPP_f204771371l_bool,type,
hAPP_f204771371l_bool: $i > $i > $i ).
thf(tp_hAPP_f2052660463l_bool,type,
hAPP_f2052660463l_bool: $i > $i > $i ).
thf(tp_hAPP_f2057883639l_bool,type,
hAPP_f2057883639l_bool: $i > $i > $i ).
thf(tp_hAPP_f2060496320y_bool,type,
hAPP_f2060496320y_bool: $i > $i > $i ).
thf(tp_hAPP_f2121594859l_bool,type,
hAPP_f2121594859l_bool: $i > $i > $i ).
thf(tp_hAPP_f2134824737l_bool,type,
hAPP_f2134824737l_bool: $i > $i > $i ).
thf(tp_hAPP_f2135509569l_bool,type,
hAPP_f2135509569l_bool: $i > $i > $i ).
thf(tp_hAPP_f2144092865l_bool,type,
hAPP_f2144092865l_bool: $i > $i > $i ).
thf(tp_hAPP_f318082871l_bool,type,
hAPP_f318082871l_bool: $i > $i > $i ).
thf(tp_hAPP_f348318673l_bool,type,
hAPP_f348318673l_bool: $i > $i > $i ).
thf(tp_hAPP_f365540729l_bool,type,
hAPP_f365540729l_bool: $i > $i > $i ).
thf(tp_hAPP_f394183983on_val,type,
hAPP_f394183983on_val: $i > $i > $i ).
thf(tp_hAPP_f396019662l_bool,type,
hAPP_f396019662l_bool: $i > $i > $i ).
thf(tp_hAPP_f399538905l_bool,type,
hAPP_f399538905l_bool: $i > $i > $i ).
thf(tp_hAPP_f439412817l_bool,type,
hAPP_f439412817l_bool: $i > $i > $i ).
thf(tp_hAPP_f444383845l_bool,type,
hAPP_f444383845l_bool: $i > $i > $i ).
thf(tp_hAPP_f468299289l_bool,type,
hAPP_f468299289l_bool: $i > $i > $i ).
thf(tp_hAPP_f489055607l_bool,type,
hAPP_f489055607l_bool: $i > $i > $i ).
thf(tp_hAPP_f516738477l_bool,type,
hAPP_f516738477l_bool: $i > $i > $i ).
thf(tp_hAPP_f524589473l_bool,type,
hAPP_f524589473l_bool: $i > $i > $i ).
thf(tp_hAPP_f546724245l_bool,type,
hAPP_f546724245l_bool: $i > $i > $i ).
thf(tp_hAPP_f550652027l_bool,type,
hAPP_f550652027l_bool: $i > $i > $i ).
thf(tp_hAPP_f555424277l_bool,type,
hAPP_f555424277l_bool: $i > $i > $i ).
thf(tp_hAPP_f592397849l_bool,type,
hAPP_f592397849l_bool: $i > $i > $i ).
thf(tp_hAPP_f600512025on_val,type,
hAPP_f600512025on_val: $i > $i > $i ).
thf(tp_hAPP_f602593190on_val,type,
hAPP_f602593190on_val: $i > $i > $i ).
thf(tp_hAPP_f603925568l_bool,type,
hAPP_f603925568l_bool: $i > $i > $i ).
thf(tp_hAPP_f61040418l_bool,type,
hAPP_f61040418l_bool: $i > $i > $i ).
thf(tp_hAPP_f635218277l_bool,type,
hAPP_f635218277l_bool: $i > $i > $i ).
thf(tp_hAPP_f639265145l_bool,type,
hAPP_f639265145l_bool: $i > $i > $i ).
thf(tp_hAPP_f641257349l_bool,type,
hAPP_f641257349l_bool: $i > $i > $i ).
thf(tp_hAPP_f653692369l_bool,type,
hAPP_f653692369l_bool: $i > $i > $i ).
thf(tp_hAPP_f833559503l_bool,type,
hAPP_f833559503l_bool: $i > $i > $i ).
thf(tp_hAPP_f838396643l_bool,type,
hAPP_f838396643l_bool: $i > $i > $i ).
thf(tp_hAPP_f850751421l_bool,type,
hAPP_f850751421l_bool: $i > $i > $i ).
thf(tp_hAPP_f857351829l_bool,type,
hAPP_f857351829l_bool: $i > $i > $i ).
thf(tp_hAPP_f881985847l_bool,type,
hAPP_f881985847l_bool: $i > $i > $i ).
thf(tp_hAPP_f917296015l_bool,type,
hAPP_f917296015l_bool: $i > $i > $i ).
thf(tp_hAPP_f926562337l_bool,type,
hAPP_f926562337l_bool: $i > $i > $i ).
thf(tp_hAPP_f927043595l_bool,type,
hAPP_f927043595l_bool: $i > $i > $i ).
thf(tp_hAPP_l207779698on_val,type,
hAPP_l207779698on_val: $i > $i > $i ).
thf(tp_hAPP_l512744617ion_ty,type,
hAPP_l512744617ion_ty: $i > $i > $i ).
thf(tp_hBOOL,type,
hBOOL: $i > $o ).
thf(tp_h_a,type,
h_a: $i ).
thf(tp_ha,type,
ha: $i ).
thf(tp_hconf_97414254t_char,type,
hconf_97414254t_char: $i > $i ).
thf(tp_hp,type,
hp: $i > $i ).
thf(tp_is_bool,type,
is_bool: $i > $o ).
thf(tp_lAss_list_char,type,
lAss_list_char: $i > $i > $i ).
thf(tp_l_a,type,
l_a: $i ).
thf(tp_la,type,
la: $i ).
thf(tp_lconf_496643946t_char,type,
lconf_496643946t_char: $i > $i ).
thf(tp_member763590124on_val,type,
member763590124on_val: $i > $i > $i ).
thf(tp_member773094996on_val,type,
member773094996on_val: $i > $i > $i ).
thf(tp_member840932460on_val,type,
member840932460on_val: $i > $i > $i ).
thf(tp_none_ty,type,
none_ty: $i ).
thf(tp_none_val,type,
none_val: $i ).
thf(tp_p,type,
p: $i ).
thf(tp_produc1003071703on_val,type,
produc1003071703on_val: $i ).
thf(tp_produc1148763895on_val,type,
produc1148763895on_val: $i ).
thf(tp_produc1174947465on_val,type,
produc1174947465on_val: $i ).
thf(tp_produc121041439l_bool,type,
produc121041439l_bool: $i ).
thf(tp_produc1259058957on_val,type,
produc1259058957on_val: $i ).
thf(tp_produc1275132703l_bool,type,
produc1275132703l_bool: $i ).
thf(tp_produc1441475159on_val,type,
produc1441475159on_val: $i ).
thf(tp_produc1815960045l_bool,type,
produc1815960045l_bool: $i ).
thf(tp_produc1911463199l_bool,type,
produc1911463199l_bool: $i ).
thf(tp_produc1958875245l_bool,type,
produc1958875245l_bool: $i ).
thf(tp_produc1988544340l_bool,type,
produc1988544340l_bool: $i ).
thf(tp_produc20018513l_bool,type,
produc20018513l_bool: $i ).
thf(tp_produc2036005791l_bool,type,
produc2036005791l_bool: $i ).
thf(tp_produc2128769400l_bool,type,
produc2128769400l_bool: $i ).
thf(tp_produc334393759l_bool,type,
produc334393759l_bool: $i ).
thf(tp_produc376702929l_bool,type,
produc376702929l_bool: $i ).
thf(tp_produc399384568l_bool,type,
produc399384568l_bool: $i ).
thf(tp_produc899768717on_val,type,
produc899768717on_val: $i ).
thf(tp_produc901351817on_val,type,
produc901351817on_val: $i ).
thf(tp_red,type,
red: $i > $i ).
thf(tp_redp,type,
redp: $i > $i > $i > $i ).
thf(tp_sK10_SY393,type,
sK10_SY393: $i > $i ).
thf(tp_sK11_SY398,type,
sK11_SY398: $i > $i ).
thf(tp_sK12_SY403,type,
sK12_SY403: $i > $i ).
thf(tp_sK13_SY409,type,
sK13_SY409: $i > $i ).
thf(tp_sK14_SY417,type,
sK14_SY417: $i > $i ).
thf(tp_sK15_SY418,type,
sK15_SY418: $i > $i ).
thf(tp_sK16_SY423,type,
sK16_SY423: $i > $i ).
thf(tp_sK17_SY425,type,
sK17_SY425: $i > $i ).
thf(tp_sK18_SY426,type,
sK18_SY426: $i > $i ).
thf(tp_sK19_SY428,type,
sK19_SY428: $i > $i ).
thf(tp_sK1_SY184,type,
sK1_SY184: $i > $i ).
thf(tp_sK20_SY347,type,
sK20_SY347: $i > $i > $i ).
thf(tp_sK21_SY436,type,
sK21_SY436: $i > $i ).
thf(tp_sK22_SY372,type,
sK22_SY372: $i > $i > $i ).
thf(tp_sK23_SY381,type,
sK23_SY381: $i > $i > $i ).
thf(tp_sK24_SY438,type,
sK24_SY438: $i > $i ).
thf(tp_sK25_SY439,type,
sK25_SY439: $i > $i > $i ).
thf(tp_sK26_SY444,type,
sK26_SY444: $i > $i ).
thf(tp_sK27_SY445,type,
sK27_SY445: $i > $i > $i ).
thf(tp_sK28_SY447,type,
sK28_SY447: $i > $i > $i ).
thf(tp_sK29_SY192,type,
sK29_SY192: $i > $i ).
thf(tp_sK2_SY208,type,
sK2_SY208: $i > $i ).
thf(tp_sK30_SY195,type,
sK30_SY195: $i > $i ).
thf(tp_sK31_SY449,type,
sK31_SY449: $i > $i > $i ).
thf(tp_sK32_SY451,type,
sK32_SY451: $i > $i > $i ).
thf(tp_sK33_SY279,type,
sK33_SY279: $i > $i ).
thf(tp_sK34_SY282,type,
sK34_SY282: $i > $i ).
thf(tp_sK35_SY452,type,
sK35_SY452: $i > $i > $i ).
thf(tp_sK36_SY310,type,
sK36_SY310: $i > $i ).
thf(tp_sK37_SY313,type,
sK37_SY313: $i > $i ).
thf(tp_sK38_SY453,type,
sK38_SY453: $i > $i ).
thf(tp_sK39_SY454,type,
sK39_SY454: $i > $i > $i ).
thf(tp_sK3_SY220,type,
sK3_SY220: $i > $i ).
thf(tp_sK40_SY366,type,
sK40_SY366: $i > $i > $i ).
thf(tp_sK41_SY455,type,
sK41_SY455: $i > $i ).
thf(tp_sK42_SY375,type,
sK42_SY375: $i > $i > $i ).
thf(tp_sK43_SY386,type,
sK43_SY386: $i > $i > $i ).
thf(tp_sK44_SY456,type,
sK44_SY456: $i > $i ).
thf(tp_sK45_SY460,type,
sK45_SY460: $i > $i > $i ).
thf(tp_sK46_SY463,type,
sK46_SY463: $i > $i > $i ).
thf(tp_sK47_SY465,type,
sK47_SY465: $i > $i > $i ).
thf(tp_sK48_SY199,type,
sK48_SY199: $i > $i > $i ).
thf(tp_sK49_SY251,type,
sK49_SY251: $i > $i > $i ).
thf(tp_sK4_SY240,type,
sK4_SY240: $i > $i ).
thf(tp_sK50_SY322,type,
sK50_SY322: $i > $i > $i ).
thf(tp_sK51_SY469,type,
sK51_SY469: $i > $i > $i ).
thf(tp_sK52_SY203,type,
sK52_SY203: $i > $i > $i > $i ).
thf(tp_sK53_SY470,type,
sK53_SY470: $i > $i > $i ).
thf(tp_sK54_SY255,type,
sK54_SY255: $i > $i > $i > $i ).
thf(tp_sK55_SY471,type,
sK55_SY471: $i > $i > $i ).
thf(tp_sK56_SY326,type,
sK56_SY326: $i > $i > $i > $i ).
thf(tp_sK5_SY269,type,
sK5_SY269: $i > $i ).
thf(tp_sK6_SY271,type,
sK6_SY271: $i > $i ).
thf(tp_sK7_SY300,type,
sK7_SY300: $i > $i ).
thf(tp_sK8_SY308,type,
sK8_SY308: $i > $i ).
thf(tp_sK9_SY316,type,
sK9_SY316: $i > $i ).
thf(tp_seq_list_char,type,
seq_list_char: $i > $i > $i ).
thf(tp_some_ty,type,
some_ty: $i > $i ).
thf(tp_some_val,type,
some_val: $i > $i ).
thf(tp_t,type,
t: $i ).
thf(tp_t_1,type,
t_1: $i ).
thf(tp_typeSa1234865140_sconf,type,
typeSa1234865140_sconf: $i > $i > $i ).
thf(tp_unit,type,
unit: $i ).
thf(tp_v,type,
v: $i ).
thf(tp_v_1,type,
v_1: $i ).
thf(tp_v_2,type,
v_2: $i ).
thf(tp_val_list_char,type,
val_list_char: $i > $i ).
thf(tp_wTrt,type,
wTrt: $i > $i > $i > $i > $i > $i ).
thf(tp_wf_J_mdecl,type,
wf_J_mdecl: $i ).
thf(tp_wf_pro755087577t_char,type,
wf_pro755087577t_char: $i > $i > $i ).
thf(tp_widen_2090681816t_char,type,
widen_2090681816t_char: $i > $i > $i > $i ).
thf(57,axiom,
! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_141_mem__def) ).
thf(86,axiom,
! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_1: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_1 ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_1 ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_112_red__reds_OLAssRed) ).
thf(87,axiom,
! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_1: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_1 ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_1 ) ) @ ( red @ Pa ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_red__reds_OSeqRed) ).
thf(137,axiom,
! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_61_PairE) ).
thf(138,axiom,
! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_60_PairE) ).
thf(139,axiom,
! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Y ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_59_PairE) ).
thf(140,axiom,
! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_58_split__paired__Ex) ).
thf(141,axiom,
! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_57_split__paired__Ex) ).
thf(142,axiom,
! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_56_split__paired__Ex) ).
thf(144,axiom,
! [T_3: $i,P_2: $i,S_2: $i,U_1: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_2 @ U_1 ) )
=> ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_3 ) )
=> ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_2 @ T_3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_widen__trans) ).
thf(145,axiom,
! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_53_prod_Oexhaust) ).
thf(146,axiom,
! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_52_prod_Oexhaust) ).
thf(147,axiom,
! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_prod_Oexhaust) ).
thf(148,axiom,
! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_pred__equals__eq2) ).
thf(149,axiom,
! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_pred__equals__eq2) ).
thf(150,axiom,
! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_pred__equals__eq2) ).
thf(152,axiom,
! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B ) @ C_1 ) ) ) )
=> ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_46_prod__induct3) ).
thf(153,axiom,
! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ C_1 ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_prod__induct3) ).
thf(154,axiom,
! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i] :
( Y_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B ) @ C_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_prod__cases3) ).
thf(155,axiom,
! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ C_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_prod__cases3) ).
thf(158,axiom,
! [P_3: $i,T_4: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_3 @ T_4 @ T_4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_40_widen__refl) ).
thf(160,axiom,
! [F: $i,X_1: $i,Y_1: $i] :
( ( ( fun_up1149430426on_val @ F @ X_1 @ Y_1 )
= F )
<=> ( ( hAPP_l207779698on_val @ F @ X_1 )
= Y_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_fun__upd__idem__iff) ).
thf(162,axiom,
! [F: $i,X_1: $i,Y_1: $i,Z: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ X_1 @ Z )
= ( fun_up1149430426on_val @ F @ X_1 @ Z ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_fun__upd__upd) ).
thf(164,axiom,
! [F: $i,X_1: $i,Y_1: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ X_1 )
= Y_1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_34_fun__upd__same) ).
thf(166,axiom,
! [F: $i,Y_1: $i,Z: $i,X_1: $i] :
( ( ( Z = X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= Y_1 ) )
& ( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= ( hAPP_l207779698on_val @ F @ Z ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_fun__upd__apply) ).
thf(168,axiom,
! [M: $i,B_1: $i,D: $i,A_10: $i,C: $i] :
( ( A_10 != C )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_10 @ B_1 ) @ C @ D )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D ) @ A_10 @ B_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_30_fun__upd__twist) ).
thf(170,axiom,
! [F: $i,Y_1: $i,Z: $i,X_1: $i] :
( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= ( hAPP_l207779698on_val @ F @ Z ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_28_fun__upd__other) ).
thf(172,axiom,
! [F: $i,X_1: $i,Y_1: $i] :
( ( ( hAPP_l207779698on_val @ F @ X_1 )
= Y_1 )
=> ( ( fun_up1149430426on_val @ F @ X_1 @ Y_1 )
= F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_fun__upd__idem) ).
thf(174,axiom,
! [F: $i,B_1: $i,A_10: $i,X: $i] :
( ( ( X = A_10 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= B_1 ) )
& ( ( X != A_10 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= ( hAPP_l207779698on_val @ F @ X ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_24_fun__upd__def) ).
thf(175,axiom,
! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_23_split__paired__All) ).
thf(176,axiom,
! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_split__paired__All) ).
thf(177,axiom,
! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_split__paired__All) ).
thf(178,axiom,
! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_10 ) @ B_1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_Pair__eq) ).
thf(179,axiom,
! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_10 ) @ B_1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_Pair__eq) ).
thf(180,axiom,
! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_10 ) @ B_1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_Pair__eq) ).
thf(181,axiom,
! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_10 ) @ B_1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_Pair__inject) ).
thf(182,axiom,
! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_10 ) @ B_1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_Pair__inject) ).
thf(183,axiom,
! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_10 ) @ B_1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_Pair__inject) ).
thf(185,axiom,
! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i,D_1: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_1 ) @ D_1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_prod__cases4) ).
thf(186,axiom,
! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i,D_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_1 ) @ D_1 ) ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_prod__induct4) ).
thf(189,axiom,
! [M: $i,A_10: $i,X_1: $i,N: $i,Y_1: $i] :
( ( ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ X_1 ) )
= ( fun_up1149430426on_val @ N @ A_10 @ ( some_val @ Y_1 ) ) )
=> ( X_1 = Y_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_map__upd__eqD1) ).
thf(191,axiom,
! [T: $i,K: $i,X_1: $i] :
( ( ( hAPP_l207779698on_val @ T @ K )
= ( some_val @ X_1 ) )
=> ( ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) )
= T ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_map__upd__triv) ).
thf(193,axiom,
! [M: $i,A_10: $i,B_1: $i,X_1: $i,Y_1: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) )
<=> ( ( ( X_1 = A_10 )
& ( B_1 = Y_1 ) )
| ( ( X_1 != A_10 )
& ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_map__upd__Some__unfold) ).
thf(196,axiom,
! [F: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F @ X_1 @ ( hAPP_l207779698on_val @ F @ X_1 ) )
= F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fun__upd__triv) ).
thf(197,axiom,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
thf(212,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_) ).
thf(213,conjecture,
hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(214,negated_conjecture,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[213]) ).
thf(215,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $false ),
inference(unfold_def,[status(thm)],[214]) ).
thf(216,plain,
( ( ! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[57]) ).
thf(217,plain,
( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_1: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_1 ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_1 ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[86]) ).
thf(218,plain,
( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_1: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_1 ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_1 ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[87]) ).
thf(219,plain,
( ( ! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(220,plain,
( ( ! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(221,plain,
( ( ! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[139]) ).
thf(222,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(223,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[141]) ).
thf(224,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[142]) ).
thf(225,plain,
( ( ! [T_3: $i,P_2: $i,S_2: $i,U_1: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_2 @ U_1 ) )
=> ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_3 ) )
=> ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_2 @ T_3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(226,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(227,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(228,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(229,plain,
( ( ! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(230,plain,
( ( ! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(231,plain,
( ( ! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(232,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B ) @ C_1 ) ) ) )
=> ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(233,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ C_1 ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(234,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i] :
( Y_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B ) @ C_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(235,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ C_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(236,plain,
( ( ! [P_3: $i,T_4: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_3 @ T_4 @ T_4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[158]) ).
thf(237,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i] :
( ( ( fun_up1149430426on_val @ F @ X_1 @ Y_1 )
= F )
<=> ( ( hAPP_l207779698on_val @ F @ X_1 )
= Y_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[160]) ).
thf(238,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i,Z: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ X_1 @ Z )
= ( fun_up1149430426on_val @ F @ X_1 @ Z ) ) )
= $true ),
inference(unfold_def,[status(thm)],[162]) ).
thf(239,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ X_1 )
= Y_1 ) )
= $true ),
inference(unfold_def,[status(thm)],[164]) ).
thf(240,plain,
( ( ! [F: $i,Y_1: $i,Z: $i,X_1: $i] :
( ( ( Z = X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= Y_1 ) )
& ( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= ( hAPP_l207779698on_val @ F @ Z ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[166]) ).
thf(241,plain,
( ( ! [M: $i,B_1: $i,D: $i,A_10: $i,C: $i] :
( ( A_10 != C )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_10 @ B_1 ) @ C @ D )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D ) @ A_10 @ B_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(242,plain,
( ( ! [F: $i,Y_1: $i,Z: $i,X_1: $i] :
( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= ( hAPP_l207779698on_val @ F @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(243,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i] :
( ( ( hAPP_l207779698on_val @ F @ X_1 )
= Y_1 )
=> ( ( fun_up1149430426on_val @ F @ X_1 @ Y_1 )
= F ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(244,plain,
( ( ! [F: $i,B_1: $i,A_10: $i,X: $i] :
( ( ( X = A_10 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= B_1 ) )
& ( ( X != A_10 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= ( hAPP_l207779698on_val @ F @ X ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(245,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(246,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(247,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(248,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_10 ) @ B_1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(249,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_10 ) @ B_1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[179]) ).
thf(250,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_10 ) @ B_1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[180]) ).
thf(251,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_10 ) @ B_1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[181]) ).
thf(252,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_10 ) @ B_1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(253,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_10 ) @ B_1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[183]) ).
thf(254,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i,D_1: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_1 ) @ D_1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[185]) ).
thf(255,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i,D_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_1 ) @ D_1 ) ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(256,plain,
( ( ! [M: $i,A_10: $i,X_1: $i,N: $i,Y_1: $i] :
( ( ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ X_1 ) )
= ( fun_up1149430426on_val @ N @ A_10 @ ( some_val @ Y_1 ) ) )
=> ( X_1 = Y_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[189]) ).
thf(257,plain,
( ( ! [T: $i,K: $i,X_1: $i] :
( ( ( hAPP_l207779698on_val @ T @ K )
= ( some_val @ X_1 ) )
=> ( ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) )
= T ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(258,plain,
( ( ! [M: $i,A_10: $i,B_1: $i,X_1: $i,Y_1: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) )
<=> ( ( ( X_1 = A_10 )
& ( B_1 = Y_1 ) )
| ( ( X_1 != A_10 )
& ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(259,plain,
( ( ! [F: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F @ X_1 @ ( hAPP_l207779698on_val @ F @ X_1 ) )
= F ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(260,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $true ),
inference(unfold_def,[status(thm)],[197]) ).
thf(261,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(262,plain,
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[215]) ).
thf(263,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(264,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(265,plain,
( ( ! [F: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F @ X_1 @ ( hAPP_l207779698on_val @ F @ X_1 ) )
= F ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(266,plain,
( ( ! [M: $i,A_10: $i,B_1: $i,X_1: $i,Y_1: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) )
<=> ( ( ( X_1 = A_10 )
& ( B_1 = Y_1 ) )
| ( ( X_1 != A_10 )
& ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(267,plain,
( ( ! [T: $i,K: $i,X_1: $i] :
( ( ( hAPP_l207779698on_val @ T @ K )
= ( some_val @ X_1 ) )
=> ( ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) )
= T ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(268,plain,
( ( ! [M: $i,A_10: $i,X_1: $i,N: $i,Y_1: $i] :
( ( ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ X_1 ) )
= ( fun_up1149430426on_val @ N @ A_10 @ ( some_val @ Y_1 ) ) )
=> ( X_1 = Y_1 ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(269,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i,D_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_1 ) @ D_1 ) ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(270,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i,D_1: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ C_1 ) @ D_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(271,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_10 ) @ B_1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(272,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_10 ) @ B_1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(273,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_10 ) @ B_1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_9 ) @ B_2 ) )
=> ~ ( ( A_10 = A_9 )
=> ( B_1 != B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(274,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_10 ) @ B_1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(275,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_10 ) @ B_1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(276,plain,
( ( ! [A_10: $i,B_1: $i,A_9: $i,B_2: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_10 ) @ B_1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_9 ) @ B_2 ) )
<=> ( ( A_10 = A_9 )
& ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(277,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(278,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(279,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(280,plain,
( ( ! [F: $i,B_1: $i,A_10: $i,X: $i] :
( ( ( X = A_10 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= B_1 ) )
& ( ( X != A_10 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= ( hAPP_l207779698on_val @ F @ X ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(281,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i] :
( ( ( hAPP_l207779698on_val @ F @ X_1 )
= Y_1 )
=> ( ( fun_up1149430426on_val @ F @ X_1 @ Y_1 )
= F ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(282,plain,
( ( ! [F: $i,Y_1: $i,Z: $i,X_1: $i] :
( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= ( hAPP_l207779698on_val @ F @ Z ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(283,plain,
( ( ! [M: $i,B_1: $i,D: $i,A_10: $i,C: $i] :
( ( A_10 != C )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ A_10 @ B_1 ) @ C @ D )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ M @ C @ D ) @ A_10 @ B_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(284,plain,
( ( ! [F: $i,Y_1: $i,Z: $i,X_1: $i] :
( ( ( Z = X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= Y_1 ) )
& ( ( Z != X_1 )
=> ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ Z )
= ( hAPP_l207779698on_val @ F @ Z ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(285,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ X_1 )
= Y_1 ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(286,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i,Z: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ F @ X_1 @ Y_1 ) @ X_1 @ Z )
= ( fun_up1149430426on_val @ F @ X_1 @ Z ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(287,plain,
( ( ! [F: $i,X_1: $i,Y_1: $i] :
( ( ( fun_up1149430426on_val @ F @ X_1 @ Y_1 )
= F )
<=> ( ( hAPP_l207779698on_val @ F @ X_1 )
= Y_1 ) ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(288,plain,
( ( ! [P_3: $i,T_4: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_3 @ T_4 @ T_4 ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(289,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ C_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(290,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i,C_1: $i] :
( Y_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B ) @ C_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(291,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ B ) @ C_1 ) ) ) )
=> ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(292,plain,
( ( ! [X_1: $i,Pa: $i] :
( ! [A_15: $i,B: $i,C_1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ B ) @ C_1 ) ) ) )
=> ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(293,plain,
( ( ! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(294,plain,
( ( ! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(295,plain,
( ( ! [S_3: $i,R_1: $i] :
( ! [X: $i,Xa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ R_1 ) )
<=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ S_3 ) ) )
<=> ( R_1 = S_3 ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(296,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(297,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(298,plain,
( ( ! [Y_1: $i] :
~ ! [A_15: $i,B: $i] :
( Y_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(299,plain,
( ( ! [T_3: $i,P_2: $i,S_2: $i,U_1: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_2 @ U_1 ) )
=> ( ( hBOOL @ ( widen_2090681816t_char @ P_2 @ U_1 @ T_3 ) )
=> ( hBOOL @ ( widen_2090681816t_char @ P_2 @ S_2 @ T_3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(300,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[224]) ).
thf(301,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[223]) ).
thf(302,plain,
( ( ! [Pa: $i] :
( ? [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
<=> ? [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[222]) ).
thf(303,plain,
( ( ! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[221]) ).
thf(304,plain,
( ( ! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[220]) ).
thf(305,plain,
( ( ! [P_1: $i] :
~ ! [X: $i,Y: $i] :
( P_1
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Y ) ) )
= $true ),
inference(copy,[status(thm)],[219]) ).
thf(306,plain,
( ( ! [E_2: $i,Eb: $i,S: $i,E_b: $i,S_1: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_1 ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ Eb @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ E_b @ E_2 ) ) @ S_1 ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[218]) ).
thf(307,plain,
( ( ! [Va_1: $i,Eb: $i,S: $i,E_b: $i,S_1: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ S_1 ) ) @ ( red @ Pa ) ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ Eb ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ E_b ) ) @ S_1 ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(308,plain,
( ( ! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(309,plain,
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(310,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
~ ( ~ ( ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
!= SX0 )
| ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
= SX2 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= SX2 )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[287]) ).
thf(311,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i,SX3: $i] :
( SX0
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[290]) ).
thf(312,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( ( SX2 != SX3 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
= ( hAPP_l207779698on_val @ SX0 @ SX2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[282]) ).
thf(313,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= ( some_val @ SX2 ) )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[267]) ).
thf(314,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[278]) ).
thf(315,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[300]) ).
thf(316,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ( ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) )
!= ( fun_up1149430426on_val @ SX3 @ SX1 @ ( some_val @ SX4 ) ) )
| ( SX2 = SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[268]) ).
thf(317,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[304]) ).
thf(318,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SX1 @ SX2 @ SX3 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SX1 @ SX3 @ SX0 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SX1 @ SX2 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[299]) ).
thf(319,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) ) @ SX3 )
!= ( some_val @ SX4 ) )
| ~ ( ( SX3 != SX1 )
| ( SX2 != SX4 ) )
| ~ ( ~ ( ( SX3 != SX1 ) )
| ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
!= ( some_val @ SX4 ) ) ) )
| ~ ( ~ ( ~ ( ( SX3 != SX1 )
| ( SX2 != SX4 ) )
| ~ ( ~ ( ( SX3 != SX1 ) )
| ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
!= ( some_val @ SX4 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) ) @ SX3 )
= ( some_val @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[266]) ).
thf(320,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( SX2 != SX3 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
= SX1 ) )
| ~ ( ~ ( ( SX2 != SX3 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
= ( hAPP_l207779698on_val @ SX0 @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[284]) ).
thf(321,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[298]) ).
thf(322,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i] :
( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= SX2 )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
= SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[281]) ).
thf(323,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) )
| ~ ( ~ ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[274]) ).
thf(324,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX4 ) @ SX5 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[269]) ).
thf(325,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[271]) ).
thf(326,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) @ ( red @ SX5 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SX0 @ SX1 ) ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SX0 @ SX3 ) ) @ SX4 ) ) @ ( red @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[307]) ).
thf(327,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[296]) ).
thf(328,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i,SX5: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) @ ( red @ SX5 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SX1 @ SX0 ) ) @ SX2 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SX3 @ SX0 ) ) @ SX4 ) ) @ ( red @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[306]) ).
thf(329,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) )
| ~ ( ~ ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[275]) ).
thf(330,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[301]) ).
thf(331,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( ~ ( ( SX3 != SX4 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX4 @ SX2 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SX0 @ SX4 @ SX2 ) @ SX3 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[283]) ).
thf(332,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[293]) ).
thf(333,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[308]) ).
thf(334,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[273]) ).
thf(335,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[303]) ).
thf(336,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i,SX3: $i,SX4: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX3 ) @ SX4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[270]) ).
thf(337,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[291]) ).
thf(338,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[277]) ).
thf(339,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[294]) ).
thf(340,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) )
| ~ ( ~ ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[276]) ).
thf(341,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[292]) ).
thf(342,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ( ( SX3 != SX2 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
= SX1 ) )
| ~ ( ~ ( ( SX3 != SX2 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
= ( hAPP_l207779698on_val @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[280]) ).
thf(343,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i,SX3: $i] :
( SX0
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[289]) ).
thf(344,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ( ~ ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ( ( SX1 != SX0 )
| ! [SX2: $i,SX3: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) @ SX1 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[295]) ).
thf(345,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[297]) ).
thf(346,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[279]) ).
thf(347,plain,
( ( ! [SX0: $i] :
~ ! [SX1: $i,SX2: $i] :
( SX0
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[305]) ).
thf(348,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[272]) ).
thf(349,plain,
( ( ! [SX0: $i] :
~ ( ~ ( ~ ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ( ~ ~ ! [SX1: $i] :
~ ~ ! [SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ~ ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[302]) ).
thf(350,plain,
! [SV1: $i] :
( ( ! [SY174: $i] : ( is_bool @ ( member773094996on_val @ SV1 @ SY174 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[263]) ).
thf(351,plain,
! [SV2: $i] :
( ( ! [SY175: $i] :
( ( fun_up1149430426on_val @ SV2 @ SY175 @ ( hAPP_l207779698on_val @ SV2 @ SY175 ) )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[265]) ).
thf(352,plain,
! [SV3: $i] :
( ( ! [SY176: $i,SY177: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV3 @ SY176 @ SY177 ) @ SY176 )
= SY177 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(353,plain,
! [SV4: $i] :
( ( ! [SY178: $i,SY179: $i,SY180: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SY178 @ SY179 ) @ SY178 @ SY180 )
= ( fun_up1149430426on_val @ SV4 @ SY178 @ SY180 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(354,plain,
! [SV5: $i] :
( ( ! [SY181: $i] : ( hBOOL @ ( widen_2090681816t_char @ SV5 @ SY181 @ SY181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[288]) ).
thf(355,plain,
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ e_a ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ h_a ) @ l_a ) ) ) @ ( red @ p ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[309]) ).
thf(356,plain,
! [SV6: $i] :
( ( ! [SY182: $i,SY183: $i] :
~ ( ~ ( ( ( fun_up1149430426on_val @ SV6 @ SY182 @ SY183 )
!= SV6 )
| ( ( hAPP_l207779698on_val @ SV6 @ SY182 )
= SY183 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV6 @ SY182 )
!= SY183 )
| ( ( fun_up1149430426on_val @ SV6 @ SY182 @ SY183 )
= SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[310]) ).
thf(357,plain,
! [SV7: $i] :
( ( ~ ! [SY184: $i,SY185: $i,SY186: $i] :
( SV7
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY184 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY185 ) @ SY186 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[311]) ).
thf(358,plain,
! [SV8: $i] :
( ( ! [SY187: $i,SY188: $i,SY189: $i] :
( ~ ( ( SY188 != SY189 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SY189 @ SY187 ) @ SY188 )
= ( hAPP_l207779698on_val @ SV8 @ SY188 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(359,plain,
! [SV9: $i] :
( ( ! [SY190: $i,SY191: $i] :
( ( ( hAPP_l207779698on_val @ SV9 @ SY190 )
!= ( some_val @ SY191 ) )
| ( ( fun_up1149430426on_val @ SV9 @ SY190 @ ( some_val @ SY191 ) )
= SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[313]) ).
thf(360,plain,
! [SV10: $i] :
( ( ~ ( ~ ( ~ ! [SY192: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY192 ) )
| ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) )
| ~ ( ~ ! [SY195: $i,SY196: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY195 ) @ SY196 ) ) )
| ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[314]) ).
thf(361,plain,
! [SV11: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) )
| ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
| ~ ( ~ ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) )
| ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(362,plain,
! [SV12: $i] :
( ( ! [SY204: $i,SY205: $i,SY206: $i,SY207: $i] :
( ( ( fun_up1149430426on_val @ SV12 @ SY204 @ ( some_val @ SY205 ) )
!= ( fun_up1149430426on_val @ SY206 @ SY204 @ ( some_val @ SY207 ) ) )
| ( SY205 = SY207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(363,plain,
! [SV13: $i] :
( ( ~ ! [SY208: $i,SY209: $i] :
( SV13
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY208 ) @ SY209 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[317]) ).
thf(364,plain,
! [SV14: $i] :
( ( ! [SY210: $i,SY211: $i,SY212: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SY210 @ SY211 @ SY212 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SY210 @ SY212 @ SV14 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SY210 @ SY211 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[318]) ).
thf(365,plain,
! [SV15: $i] :
( ( ! [SY213: $i,SY214: $i,SY215: $i,SY216: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SY213 @ ( some_val @ SY214 ) ) @ SY215 )
!= ( some_val @ SY216 ) )
| ~ ( ( SY215 != SY213 )
| ( SY214 != SY216 ) )
| ~ ( ~ ( ( SY215 != SY213 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SY215 )
!= ( some_val @ SY216 ) ) ) )
| ~ ( ~ ( ~ ( ( SY215 != SY213 )
| ( SY214 != SY216 ) )
| ~ ( ~ ( ( SY215 != SY213 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SY215 )
!= ( some_val @ SY216 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SY213 @ ( some_val @ SY214 ) ) @ SY215 )
= ( some_val @ SY216 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[319]) ).
thf(366,plain,
! [SV16: $i] :
( ( ! [SY217: $i,SY218: $i,SY219: $i] :
~ ( ~ ( ( SY218 != SY219 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SY219 @ SY217 ) @ SY218 )
= SY217 ) )
| ~ ( ~ ( ( SY218 != SY219 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SY219 @ SY217 ) @ SY218 )
= ( hAPP_l207779698on_val @ SV16 @ SY218 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[320]) ).
thf(367,plain,
! [SV17: $i] :
( ( ~ ! [SY220: $i,SY221: $i] :
( SV17
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY220 ) @ SY221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[321]) ).
thf(368,plain,
! [SV18: $i] :
( ( ! [SY222: $i,SY223: $i] :
( ( ( hAPP_l207779698on_val @ SV18 @ SY222 )
!= SY223 )
| ( ( fun_up1149430426on_val @ SV18 @ SY222 @ SY223 )
= SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(369,plain,
! [SV19: $i] :
( ( ! [SY224: $i,SY225: $i,SY226: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SY224 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY225 ) @ SY226 ) )
| ~ ( ( SV19 != SY225 )
| ( SY224 != SY226 ) ) )
| ~ ( ~ ~ ( ( SV19 != SY225 )
| ( SY224 != SY226 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SY224 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY225 ) @ SY226 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[323]) ).
thf(370,plain,
! [SV20: $i] :
( ( ! [SY227: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i,SX5: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SY227 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX4 ) @ SX5 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY227 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[324]) ).
thf(371,plain,
! [SV21: $i] :
( ( ! [SY232: $i,SY233: $i,SY234: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SY232 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY233 ) @ SY234 ) )
| ~ ( ( SV21 != SY233 )
| ( SY232 != SY234 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[325]) ).
thf(372,plain,
! [SV22: $i] :
( ( ! [SY235: $i,SY236: $i,SY237: $i,SY238: $i,SY239: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY235 ) @ SY236 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY237 ) @ SY238 ) ) @ ( red @ SY239 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SY235 ) ) @ SY236 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SY237 ) ) @ SY238 ) ) @ ( red @ SY239 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[326]) ).
thf(373,plain,
! [SV23: $i] :
( ( ~ ! [SY240: $i,SY241: $i] :
( SV23
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY240 ) @ SY241 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[327]) ).
thf(374,plain,
! [SV24: $i] :
( ( ! [SY242: $i,SY243: $i,SY244: $i,SY245: $i,SY246: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY242 ) @ SY243 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY244 ) @ SY245 ) ) @ ( red @ SY246 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY242 @ SV24 ) ) @ SY243 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY244 @ SV24 ) ) @ SY245 ) ) @ ( red @ SY246 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[328]) ).
thf(375,plain,
! [SV25: $i] :
( ( ! [SY247: $i,SY248: $i,SY249: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SY247 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY248 ) @ SY249 ) )
| ~ ( ( SV25 != SY248 )
| ( SY247 != SY249 ) ) )
| ~ ( ~ ~ ( ( SV25 != SY248 )
| ( SY247 != SY249 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SY247 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY248 ) @ SY249 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(376,plain,
! [SV26: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) )
| ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
| ~ ( ~ ~ ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) )
| ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(377,plain,
! [SV27: $i] :
( ( ! [SY256: $i,SY257: $i,SY258: $i,SY259: $i] :
( ~ ( ( SY258 != SY259 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY258 @ SY256 ) @ SY259 @ SY257 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY259 @ SY257 ) @ SY258 @ SY256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[331]) ).
thf(378,plain,
! [SV28: $i] :
( ( ! [SY260: $i] :
~ ( ~ ( ~ ! [SY261: $i,SY262: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY261 ) @ SY262 ) @ SY260 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY261 ) @ SY262 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY261 ) @ SY262 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY261 ) @ SY262 ) @ SY260 ) ) ) )
| ( SY260 = SV28 ) )
| ~ ( ( SY260 != SV28 )
| ! [SY263: $i,SY264: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY263 ) @ SY264 ) @ SY260 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY263 ) @ SY264 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY263 ) @ SY264 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY263 ) @ SY264 ) @ SY260 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[332]) ).
thf(379,plain,
! [SV29: $i] :
( ( ! [SY265: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV29 @ SY265 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY265 @ SV29 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY265 @ SV29 ) )
| ( hBOOL @ ( member773094996on_val @ SV29 @ SY265 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[333]) ).
thf(380,plain,
! [SV30: $i] :
( ( ! [SY266: $i,SY267: $i,SY268: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SY266 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY267 ) @ SY268 ) )
| ~ ( ( SV30 != SY267 )
| ( SY266 != SY268 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(381,plain,
! [SV31: $i] :
( ( ~ ! [SY269: $i,SY270: $i] :
( SV31
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY269 ) @ SY270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(382,plain,
! [SV32: $i] :
( ( ~ ! [SY271: $i,SY272: $i,SY273: $i,SY274: $i] :
( SV32
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY271 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY272 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY273 ) @ SY274 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[336]) ).
thf(383,plain,
! [SV33: $i] :
( ( ! [SY275: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SY275 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY275 @ SV33 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[337]) ).
thf(384,plain,
! [SV34: $i] :
( ( ~ ( ~ ( ~ ! [SY279: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY279 ) )
| ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) )
| ~ ( ~ ! [SY282: $i,SY283: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY282 ) @ SY283 ) ) )
| ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[338]) ).
thf(385,plain,
! [SV35: $i] :
( ( ! [SY285: $i] :
~ ( ~ ( ~ ! [SY286: $i,SY287: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY286 ) @ SY287 ) @ SY285 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY286 ) @ SY287 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY286 ) @ SY287 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY286 ) @ SY287 ) @ SY285 ) ) ) )
| ( SY285 = SV35 ) )
| ~ ( ( SY285 != SV35 )
| ! [SY288: $i,SY289: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY288 ) @ SY289 ) @ SY285 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY288 ) @ SY289 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY288 ) @ SY289 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY288 ) @ SY289 ) @ SY285 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[339]) ).
thf(386,plain,
! [SV36: $i] :
( ( ! [SY290: $i,SY291: $i,SY292: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SY290 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY291 ) @ SY292 ) )
| ~ ( ( SV36 != SY291 )
| ( SY290 != SY292 ) ) )
| ~ ( ~ ~ ( ( SV36 != SY291 )
| ( SY290 != SY292 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SY290 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY291 ) @ SY292 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[340]) ).
thf(387,plain,
! [SV37: $i] :
( ( ! [SY293: $i] :
( ~ ! [SX2: $i,SX3: $i,SX4: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SY293 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX3 ) @ SX4 ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SY293 @ SV37 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[341]) ).
thf(388,plain,
! [SV38: $i] :
( ( ! [SY297: $i,SY298: $i,SY299: $i] :
~ ( ~ ( ( SY299 != SY298 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SY298 @ SY297 ) @ SY299 )
= SY297 ) )
| ~ ( ~ ( ( SY299 != SY298 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SY298 @ SY297 ) @ SY299 )
= ( hAPP_l207779698on_val @ SV38 @ SY299 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[342]) ).
thf(389,plain,
! [SV39: $i] :
( ( ~ ! [SY300: $i,SY301: $i,SY302: $i] :
( SV39
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY300 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY301 ) @ SY302 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[343]) ).
thf(390,plain,
! [SV40: $i] :
( ( ! [SY303: $i] :
~ ( ~ ( ~ ! [SY304: $i,SY305: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY304 ) @ SY305 ) @ SY303 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY304 ) @ SY305 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY304 ) @ SY305 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY304 ) @ SY305 ) @ SY303 ) ) ) )
| ( SY303 = SV40 ) )
| ~ ( ( SY303 != SV40 )
| ! [SY306: $i,SY307: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY306 ) @ SY307 ) @ SY303 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY306 ) @ SY307 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY306 ) @ SY307 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY306 ) @ SY307 ) @ SY303 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[344]) ).
thf(391,plain,
! [SV41: $i] :
( ( ~ ! [SY308: $i,SY309: $i] :
( SV41
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[345]) ).
thf(392,plain,
! [SV42: $i] :
( ( ~ ( ~ ( ~ ! [SY310: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY310 ) )
| ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) )
| ~ ( ~ ! [SY313: $i,SY314: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY313 ) @ SY314 ) ) )
| ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[346]) ).
thf(393,plain,
! [SV43: $i] :
( ( ~ ! [SY316: $i,SY317: $i] :
( SV43
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY316 ) @ SY317 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[347]) ).
thf(394,plain,
! [SV44: $i] :
( ( ! [SY318: $i,SY319: $i,SY320: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SY318 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY319 ) @ SY320 ) )
| ~ ( ( SV44 != SY319 )
| ( SY318 != SY320 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[348]) ).
thf(395,plain,
! [SV45: $i] :
( ( ~ ( ~ ( ~ ~ ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) )
| ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
| ~ ( ~ ~ ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) )
| ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[349]) ).
thf(396,plain,
! [SV46: $i,SV1: $i] :
( ( is_bool @ ( member773094996on_val @ SV1 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[350]) ).
thf(397,plain,
! [SV47: $i,SV2: $i] :
( ( ( fun_up1149430426on_val @ SV2 @ SV47 @ ( hAPP_l207779698on_val @ SV2 @ SV47 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[351]) ).
thf(398,plain,
! [SV48: $i,SV3: $i] :
( ( ! [SY327: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV3 @ SV48 @ SY327 ) @ SV48 )
= SY327 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[352]) ).
thf(399,plain,
! [SV49: $i,SV4: $i] :
( ( ! [SY328: $i,SY329: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SV49 @ SY328 ) @ SV49 @ SY329 )
= ( fun_up1149430426on_val @ SV4 @ SV49 @ SY329 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[353]) ).
thf(400,plain,
! [SV50: $i,SV5: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ SV5 @ SV50 @ SV50 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[354]) ).
thf(401,plain,
! [SV51: $i,SV6: $i] :
( ( ! [SY330: $i] :
~ ( ~ ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SY330 )
!= SV6 )
| ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SY330 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
!= SY330 )
| ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SY330 )
= SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[356]) ).
thf(402,plain,
! [SV7: $i] :
( ( ! [SY184: $i,SY185: $i,SY186: $i] :
( SV7
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY184 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY185 ) @ SY186 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[357]) ).
thf(403,plain,
! [SV52: $i,SV8: $i] :
( ( ! [SY331: $i,SY332: $i] :
( ~ ( ( SY331 != SY332 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SY332 @ SV52 ) @ SY331 )
= ( hAPP_l207779698on_val @ SV8 @ SY331 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(404,plain,
! [SV53: $i,SV9: $i] :
( ( ! [SY333: $i] :
( ( ( hAPP_l207779698on_val @ SV9 @ SV53 )
!= ( some_val @ SY333 ) )
| ( ( fun_up1149430426on_val @ SV9 @ SV53 @ ( some_val @ SY333 ) )
= SV9 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(405,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY192: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY192 ) )
| ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) )
| ~ ( ~ ! [SY195: $i,SY196: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY195 ) @ SY196 ) ) )
| ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[360]) ).
thf(406,plain,
! [SV11: $i] :
( ( ~ ( ~ ~ ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) )
| ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
| ~ ( ~ ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) )
| ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[361]) ).
thf(407,plain,
! [SV54: $i,SV12: $i] :
( ( ! [SY334: $i,SY335: $i,SY336: $i] :
( ( ( fun_up1149430426on_val @ SV12 @ SV54 @ ( some_val @ SY334 ) )
!= ( fun_up1149430426on_val @ SY335 @ SV54 @ ( some_val @ SY336 ) ) )
| ( SY334 = SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(408,plain,
! [SV13: $i] :
( ( ! [SY208: $i,SY209: $i] :
( SV13
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY208 ) @ SY209 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[363]) ).
thf(409,plain,
! [SV14: $i,SV55: $i] :
( ( ! [SY337: $i,SY338: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SY337 @ SY338 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SY338 @ SV14 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SY337 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[364]) ).
thf(410,plain,
! [SV56: $i,SV15: $i] :
( ( ! [SY339: $i,SY340: $i,SY341: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SY339 ) ) @ SY340 )
!= ( some_val @ SY341 ) )
| ~ ( ( SY340 != SV56 )
| ( SY339 != SY341 ) )
| ~ ( ~ ( ( SY340 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SY340 )
!= ( some_val @ SY341 ) ) ) )
| ~ ( ~ ( ~ ( ( SY340 != SV56 )
| ( SY339 != SY341 ) )
| ~ ( ~ ( ( SY340 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SY340 )
!= ( some_val @ SY341 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SY339 ) ) @ SY340 )
= ( some_val @ SY341 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[365]) ).
thf(411,plain,
! [SV57: $i,SV16: $i] :
( ( ! [SY342: $i,SY343: $i] :
~ ( ~ ( ( SY342 != SY343 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SY343 @ SV57 ) @ SY342 )
= SV57 ) )
| ~ ( ~ ( ( SY342 != SY343 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SY343 @ SV57 ) @ SY342 )
= ( hAPP_l207779698on_val @ SV16 @ SY342 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(412,plain,
! [SV17: $i] :
( ( ! [SY220: $i,SY221: $i] :
( SV17
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY220 ) @ SY221 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[367]) ).
thf(413,plain,
! [SV58: $i,SV18: $i] :
( ( ! [SY344: $i] :
( ( ( hAPP_l207779698on_val @ SV18 @ SV58 )
!= SY344 )
| ( ( fun_up1149430426on_val @ SV18 @ SV58 @ SY344 )
= SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(414,plain,
! [SV59: $i,SV19: $i] :
( ( ! [SY345: $i,SY346: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY345 ) @ SY346 ) )
| ~ ( ( SV19 != SY345 )
| ( SV59 != SY346 ) ) )
| ~ ( ~ ~ ( ( SV19 != SY345 )
| ( SV59 != SY346 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY345 ) @ SY346 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(415,plain,
! [SV20: $i,SV60: $i] :
( ( ~ ! [SY347: $i,SY348: $i,SY349: $i,SY350: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY347 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY348 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY349 ) @ SY350 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[370]) ).
thf(416,plain,
! [SV61: $i,SV21: $i] :
( ( ! [SY351: $i,SY352: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY351 ) @ SY352 ) )
| ~ ( ( SV21 != SY351 )
| ( SV61 != SY352 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(417,plain,
! [SV22: $i,SV62: $i] :
( ( ! [SY353: $i,SY354: $i,SY355: $i,SY356: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SY353 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY354 ) @ SY355 ) ) @ ( red @ SY356 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SY353 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SY354 ) ) @ SY355 ) ) @ ( red @ SY356 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[372]) ).
thf(418,plain,
! [SV23: $i] :
( ( ! [SY240: $i,SY241: $i] :
( SV23
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY240 ) @ SY241 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(419,plain,
! [SV24: $i,SV63: $i] :
( ( ! [SY357: $i,SY358: $i,SY359: $i,SY360: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SY357 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY358 ) @ SY359 ) ) @ ( red @ SY360 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SY357 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY358 @ SV24 ) ) @ SY359 ) ) @ ( red @ SY360 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(420,plain,
! [SV64: $i,SV25: $i] :
( ( ! [SY361: $i,SY362: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY361 ) @ SY362 ) )
| ~ ( ( SV25 != SY361 )
| ( SV64 != SY362 ) ) )
| ~ ( ~ ~ ( ( SV25 != SY361 )
| ( SV64 != SY362 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY361 ) @ SY362 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[375]) ).
thf(421,plain,
! [SV26: $i] :
( ( ~ ( ~ ~ ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) )
| ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
| ~ ( ~ ~ ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) )
| ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[376]) ).
thf(422,plain,
! [SV65: $i,SV27: $i] :
( ( ! [SY363: $i,SY364: $i,SY365: $i] :
( ~ ( ( SY364 != SY365 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY364 @ SV65 ) @ SY365 @ SY363 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY365 @ SY363 ) @ SY364 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(423,plain,
! [SV28: $i,SV66: $i] :
( ( ~ ( ~ ( ~ ! [SY366: $i,SY367: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) ) ) )
| ( SV66 = SV28 ) )
| ~ ( ( SV66 != SV28 )
| ! [SY368: $i,SY369: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(424,plain,
! [SV67: $i,SV29: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
| ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(425,plain,
! [SV68: $i,SV30: $i] :
( ( ! [SY370: $i,SY371: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY370 ) @ SY371 ) )
| ~ ( ( SV30 != SY370 )
| ( SV68 != SY371 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(426,plain,
! [SV31: $i] :
( ( ! [SY269: $i,SY270: $i] :
( SV31
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY269 ) @ SY270 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[381]) ).
thf(427,plain,
! [SV32: $i] :
( ( ! [SY271: $i,SY272: $i,SY273: $i,SY274: $i] :
( SV32
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY271 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY272 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY273 ) @ SY274 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[382]) ).
thf(428,plain,
! [SV33: $i,SV69: $i] :
( ( ~ ! [SY372: $i,SY373: $i,SY374: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY372 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY373 ) @ SY374 ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ SV33 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[383]) ).
thf(429,plain,
! [SV34: $i] :
( ( ~ ( ~ ! [SY279: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY279 ) )
| ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) )
| ~ ( ~ ! [SY282: $i,SY283: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY282 ) @ SY283 ) ) )
| ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[384]) ).
thf(430,plain,
! [SV35: $i,SV70: $i] :
( ( ~ ( ~ ( ~ ! [SY375: $i,SY376: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) ) ) )
| ( SV70 = SV35 ) )
| ~ ( ( SV70 != SV35 )
| ! [SY377: $i,SY378: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[385]) ).
thf(431,plain,
! [SV71: $i,SV36: $i] :
( ( ! [SY379: $i,SY380: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY379 ) @ SY380 ) )
| ~ ( ( SV36 != SY379 )
| ( SV71 != SY380 ) ) )
| ~ ( ~ ~ ( ( SV36 != SY379 )
| ( SV71 != SY380 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY379 ) @ SY380 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[386]) ).
thf(432,plain,
! [SV37: $i,SV72: $i] :
( ( ~ ! [SY381: $i,SY382: $i,SY383: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY381 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY382 ) @ SY383 ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ SV37 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[387]) ).
thf(433,plain,
! [SV73: $i,SV38: $i] :
( ( ! [SY384: $i,SY385: $i] :
~ ( ~ ( ( SY385 != SY384 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SY384 @ SV73 ) @ SY385 )
= SV73 ) )
| ~ ( ~ ( ( SY385 != SY384 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SY384 @ SV73 ) @ SY385 )
= ( hAPP_l207779698on_val @ SV38 @ SY385 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[388]) ).
thf(434,plain,
! [SV39: $i] :
( ( ! [SY300: $i,SY301: $i,SY302: $i] :
( SV39
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY300 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY301 ) @ SY302 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[389]) ).
thf(435,plain,
! [SV40: $i,SV74: $i] :
( ( ~ ( ~ ( ~ ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) ) ) )
| ( SV74 = SV40 ) )
| ~ ( ( SV74 != SV40 )
| ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(436,plain,
! [SV41: $i] :
( ( ! [SY308: $i,SY309: $i] :
( SV41
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY308 ) @ SY309 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[391]) ).
thf(437,plain,
! [SV42: $i] :
( ( ~ ( ~ ! [SY310: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY310 ) )
| ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) )
| ~ ( ~ ! [SY313: $i,SY314: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY313 ) @ SY314 ) ) )
| ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[392]) ).
thf(438,plain,
! [SV43: $i] :
( ( ! [SY316: $i,SY317: $i] :
( SV43
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY316 ) @ SY317 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(439,plain,
! [SV75: $i,SV44: $i] :
( ( ! [SY390: $i,SY391: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY390 ) @ SY391 ) )
| ~ ( ( SV44 != SY390 )
| ( SV75 != SY391 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[394]) ).
thf(440,plain,
! [SV45: $i] :
( ( ~ ( ~ ~ ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) )
| ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
| ~ ( ~ ~ ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) )
| ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(441,plain,
! [SV76: $i,SV48: $i,SV3: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV3 @ SV48 @ SV76 ) @ SV48 )
= SV76 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(442,plain,
! [SV77: $i,SV49: $i,SV4: $i] :
( ( ! [SY392: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SV49 @ SV77 ) @ SV49 @ SY392 )
= ( fun_up1149430426on_val @ SV4 @ SV49 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(443,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ~ ( ~ ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
!= SV6 )
| ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
!= SV78 )
| ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(444,plain,
! [SV7: $i] :
( ( ! [SY393: $i,SY394: $i] :
( SV7
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK1_SY184 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY393 ) @ SY394 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(445,plain,
! [SV52: $i,SV8: $i,SV79: $i] :
( ( ! [SY395: $i] :
( ~ ( ( SV79 != SY395 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SY395 @ SV52 ) @ SV79 )
= ( hAPP_l207779698on_val @ SV8 @ SV79 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[403]) ).
thf(446,plain,
! [SV80: $i,SV53: $i,SV9: $i] :
( ( ( ( hAPP_l207779698on_val @ SV9 @ SV53 )
!= ( some_val @ SV80 ) )
| ( ( fun_up1149430426on_val @ SV9 @ SV53 @ ( some_val @ SV80 ) )
= SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[404]) ).
thf(447,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY192: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY192 ) )
| ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(448,plain,
! [SV10: $i] :
( ( ~ ( ~ ! [SY195: $i,SY196: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY195 ) @ SY196 ) ) )
| ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[405]) ).
thf(449,plain,
! [SV11: $i] :
( ( ~ ( ~ ~ ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) )
| ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(450,plain,
! [SV11: $i] :
( ( ~ ( ~ ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) )
| ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(451,plain,
! [SV81: $i,SV54: $i,SV12: $i] :
( ( ! [SY396: $i,SY397: $i] :
( ( ( fun_up1149430426on_val @ SV12 @ SV54 @ ( some_val @ SV81 ) )
!= ( fun_up1149430426on_val @ SY396 @ SV54 @ ( some_val @ SY397 ) ) )
| ( SV81 = SY397 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(452,plain,
! [SV13: $i] :
( ( ! [SY398: $i] :
( SV13
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK2_SY208 @ SV13 ) ) @ SY398 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[408]) ).
thf(453,plain,
! [SV14: $i,SV82: $i,SV55: $i] :
( ( ! [SY399: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SY399 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SY399 @ SV14 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(454,plain,
! [SV83: $i,SV56: $i,SV15: $i] :
( ( ! [SY400: $i,SY401: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SY400 )
!= ( some_val @ SY401 ) )
| ~ ( ( SY400 != SV56 )
| ( SV83 != SY401 ) )
| ~ ( ~ ( ( SY400 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SY400 )
!= ( some_val @ SY401 ) ) ) )
| ~ ( ~ ( ~ ( ( SY400 != SV56 )
| ( SV83 != SY401 ) )
| ~ ( ~ ( ( SY400 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SY400 )
!= ( some_val @ SY401 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SY400 )
= ( some_val @ SY401 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[410]) ).
thf(455,plain,
! [SV57: $i,SV16: $i,SV84: $i] :
( ( ! [SY402: $i] :
~ ( ~ ( ( SV84 != SY402 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SY402 @ SV57 ) @ SV84 )
= SV57 ) )
| ~ ( ~ ( ( SV84 != SY402 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SY402 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(456,plain,
! [SV17: $i] :
( ( ! [SY403: $i] :
( SV17
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK3_SY220 @ SV17 ) ) @ SY403 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[412]) ).
thf(457,plain,
! [SV85: $i,SV58: $i,SV18: $i] :
( ( ( ( hAPP_l207779698on_val @ SV18 @ SV58 )
!= SV85 )
| ( ( fun_up1149430426on_val @ SV18 @ SV58 @ SV85 )
= SV18 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(458,plain,
! [SV86: $i,SV59: $i,SV19: $i] :
( ( ! [SY404: $i] :
~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SY404 ) )
| ~ ( ( SV19 != SV86 )
| ( SV59 != SY404 ) ) )
| ~ ( ~ ~ ( ( SV19 != SV86 )
| ( SV59 != SY404 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SY404 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(459,plain,
! [SV20: $i,SV60: $i] :
( ( ( ~ ! [SY347: $i,SY348: $i,SY349: $i,SY350: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY347 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY348 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY349 ) @ SY350 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[415]) ).
thf(460,plain,
! [SV87: $i,SV61: $i,SV21: $i] :
( ( ! [SY405: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SY405 ) )
| ~ ( ( SV21 != SV87 )
| ( SV61 != SY405 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(461,plain,
! [SV22: $i,SV88: $i,SV62: $i] :
( ( ! [SY406: $i,SY407: $i,SY408: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY406 ) @ SY407 ) ) @ ( red @ SY408 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SY406 ) ) @ SY407 ) ) @ ( red @ SY408 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(462,plain,
! [SV23: $i] :
( ( ! [SY409: $i] :
( SV23
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY240 @ SV23 ) ) @ SY409 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[418]) ).
thf(463,plain,
! [SV24: $i,SV89: $i,SV63: $i] :
( ( ! [SY410: $i,SY411: $i,SY412: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY410 ) @ SY411 ) ) @ ( red @ SY412 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY410 @ SV24 ) ) @ SY411 ) ) @ ( red @ SY412 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(464,plain,
! [SV90: $i,SV64: $i,SV25: $i] :
( ( ! [SY413: $i] :
~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SY413 ) )
| ~ ( ( SV25 != SV90 )
| ( SV64 != SY413 ) ) )
| ~ ( ~ ~ ( ( SV25 != SV90 )
| ( SV64 != SY413 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SY413 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(465,plain,
! [SV26: $i] :
( ( ~ ( ~ ~ ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) )
| ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(466,plain,
! [SV26: $i] :
( ( ~ ( ~ ~ ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) )
| ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[421]) ).
thf(467,plain,
! [SV91: $i,SV65: $i,SV27: $i] :
( ( ! [SY414: $i,SY415: $i] :
( ~ ( ( SY414 != SY415 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY414 @ SV65 ) @ SY415 @ SV91 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY415 @ SV91 ) @ SY414 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(468,plain,
! [SV28: $i,SV66: $i] :
( ( ~ ( ~ ! [SY366: $i,SY367: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) ) ) )
| ( SV66 = SV28 ) )
| ~ ( ( SV66 != SV28 )
| ! [SY368: $i,SY369: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[423]) ).
thf(469,plain,
! [SV67: $i,SV29: $i] :
( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) ) )
| ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
| ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(470,plain,
! [SV92: $i,SV68: $i,SV30: $i] :
( ( ! [SY416: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SY416 ) )
| ~ ( ( SV30 != SV92 )
| ( SV68 != SY416 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(471,plain,
! [SV31: $i] :
( ( ! [SY417: $i] :
( SV31
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK5_SY269 @ SV31 ) ) @ SY417 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[426]) ).
thf(472,plain,
! [SV32: $i] :
( ( ! [SY418: $i,SY419: $i,SY420: $i] :
( SV32
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK6_SY271 @ SV32 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY418 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY419 ) @ SY420 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[427]) ).
thf(473,plain,
! [SV33: $i,SV69: $i] :
( ( ( ~ ! [SY372: $i,SY373: $i,SY374: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY372 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY373 ) @ SY374 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[428]) ).
thf(474,plain,
! [SV34: $i] :
( ( ~ ( ~ ! [SY279: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY279 ) )
| ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(475,plain,
! [SV34: $i] :
( ( ~ ( ~ ! [SY282: $i,SY283: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY282 ) @ SY283 ) ) )
| ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[429]) ).
thf(476,plain,
! [SV35: $i,SV70: $i] :
( ( ~ ( ~ ! [SY375: $i,SY376: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) ) ) )
| ( SV70 = SV35 ) )
| ~ ( ( SV70 != SV35 )
| ! [SY377: $i,SY378: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[430]) ).
thf(477,plain,
! [SV93: $i,SV71: $i,SV36: $i] :
( ( ! [SY421: $i] :
~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SY421 ) )
| ~ ( ( SV36 != SV93 )
| ( SV71 != SY421 ) ) )
| ~ ( ~ ~ ( ( SV36 != SV93 )
| ( SV71 != SY421 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SY421 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(478,plain,
! [SV37: $i,SV72: $i] :
( ( ( ~ ! [SY381: $i,SY382: $i,SY383: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY381 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY382 ) @ SY383 ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ SV37 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(479,plain,
! [SV73: $i,SV38: $i,SV94: $i] :
( ( ! [SY422: $i] :
~ ( ~ ( ( SY422 != SV94 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SY422 )
= SV73 ) )
| ~ ( ~ ( ( SY422 != SV94 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SY422 )
= ( hAPP_l207779698on_val @ SV38 @ SY422 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(480,plain,
! [SV39: $i] :
( ( ! [SY423: $i,SY424: $i] :
( SV39
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY300 @ SV39 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY423 ) @ SY424 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[434]) ).
thf(481,plain,
! [SV40: $i,SV74: $i] :
( ( ~ ( ~ ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) ) ) )
| ( SV74 = SV40 ) )
| ~ ( ( SV74 != SV40 )
| ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[435]) ).
thf(482,plain,
! [SV41: $i] :
( ( ! [SY425: $i] :
( SV41
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_SY308 @ SV41 ) ) @ SY425 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[436]) ).
thf(483,plain,
! [SV42: $i] :
( ( ~ ( ~ ! [SY310: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY310 ) )
| ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(484,plain,
! [SV42: $i] :
( ( ~ ( ~ ! [SY313: $i,SY314: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY313 ) @ SY314 ) ) )
| ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[437]) ).
thf(485,plain,
! [SV43: $i] :
( ( ! [SY426: $i] :
( SV43
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK9_SY316 @ SV43 ) ) @ SY426 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[438]) ).
thf(486,plain,
! [SV95: $i,SV75: $i,SV44: $i] :
( ( ! [SY427: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SY427 ) )
| ~ ( ( SV44 != SV95 )
| ( SV75 != SY427 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(487,plain,
! [SV45: $i] :
( ( ~ ( ~ ~ ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) )
| ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(488,plain,
! [SV45: $i] :
( ( ~ ( ~ ~ ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) )
| ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[440]) ).
thf(489,plain,
! [SV96: $i,SV77: $i,SV49: $i,SV4: $i] :
( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV4 @ SV49 @ SV77 ) @ SV49 @ SV96 )
= ( fun_up1149430426on_val @ SV4 @ SV49 @ SV96 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(490,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ~ ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
!= SV6 )
| ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 ) )
| ~ ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
!= SV78 )
| ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[443]) ).
thf(491,plain,
! [SV7: $i] :
( ( ! [SY428: $i] :
( SV7
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK1_SY184 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_SY393 @ SV7 ) ) @ SY428 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[444]) ).
thf(492,plain,
! [SV52: $i,SV8: $i,SV97: $i,SV79: $i] :
( ( ~ ( ( SV79 != SV97 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SV97 @ SV52 ) @ SV79 )
= ( hAPP_l207779698on_val @ SV8 @ SV79 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(493,plain,
! [SV80: $i,SV53: $i,SV9: $i] :
( ( ( ( hAPP_l207779698on_val @ SV9 @ SV53 )
!= ( some_val @ SV80 ) )
= $true )
| ( ( ( fun_up1149430426on_val @ SV9 @ SV53 @ ( some_val @ SV80 ) )
= SV9 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[446]) ).
thf(494,plain,
! [SV10: $i] :
( ( ~ ! [SY192: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY192 ) )
| ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[447]) ).
thf(495,plain,
! [SV10: $i] :
( ( ~ ! [SY195: $i,SY196: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY195 ) @ SY196 ) ) )
| ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[448]) ).
thf(496,plain,
! [SV11: $i] :
( ( ~ ~ ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) )
| ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[449]) ).
thf(497,plain,
! [SV11: $i] :
( ( ~ ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) )
| ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[450]) ).
thf(498,plain,
! [SV98: $i,SV81: $i,SV54: $i,SV12: $i] :
( ( ! [SY429: $i] :
( ( ( fun_up1149430426on_val @ SV12 @ SV54 @ ( some_val @ SV81 ) )
!= ( fun_up1149430426on_val @ SV98 @ SV54 @ ( some_val @ SY429 ) ) )
| ( SV81 = SY429 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(499,plain,
! [SV13: $i] :
( ( SV13
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK2_SY208 @ SV13 ) ) @ ( sK11_SY398 @ SV13 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[452]) ).
thf(500,plain,
! [SV14: $i,SV99: $i,SV82: $i,SV55: $i] :
( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV99 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV99 @ SV14 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(501,plain,
! [SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ! [SY430: $i] :
~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
!= ( some_val @ SY430 ) )
| ~ ( ( SV100 != SV56 )
| ( SV83 != SY430 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SY430 ) ) ) )
| ~ ( ~ ( ~ ( ( SV100 != SV56 )
| ( SV83 != SY430 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SY430 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SY430 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(502,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ~ ( ~ ( ( SV84 != SV101 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= SV57 ) )
| ~ ( ~ ( ( SV84 != SV101 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(503,plain,
! [SV17: $i] :
( ( SV17
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK3_SY220 @ SV17 ) ) @ ( sK12_SY403 @ SV17 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[456]) ).
thf(504,plain,
! [SV85: $i,SV58: $i,SV18: $i] :
( ( ( ( hAPP_l207779698on_val @ SV18 @ SV58 )
!= SV85 )
= $true )
| ( ( ( fun_up1149430426on_val @ SV18 @ SV58 @ SV85 )
= SV18 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[457]) ).
thf(505,plain,
! [SV102: $i,SV86: $i,SV59: $i,SV19: $i] :
( ( ~ ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
| ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
| ~ ( ~ ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(506,plain,
! [SV20: $i,SV60: $i] :
( ( ( ! [SY347: $i,SY348: $i,SY349: $i,SY350: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY347 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY348 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY349 ) @ SY350 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[459]) ).
thf(507,plain,
! [SV103: $i,SV87: $i,SV61: $i,SV21: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
| ~ ( ( SV21 != SV87 )
| ( SV61 != SV103 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(508,plain,
! [SV22: $i,SV104: $i,SV88: $i,SV62: $i] :
( ( ! [SY431: $i,SY432: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV104 ) @ SY431 ) ) @ ( red @ SY432 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV104 ) ) @ SY431 ) ) @ ( red @ SY432 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(509,plain,
! [SV23: $i] :
( ( SV23
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY240 @ SV23 ) ) @ ( sK13_SY409 @ SV23 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[462]) ).
thf(510,plain,
! [SV24: $i,SV105: $i,SV89: $i,SV63: $i] :
( ( ! [SY433: $i,SY434: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV105 ) @ SY433 ) ) @ ( red @ SY434 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV105 @ SV24 ) ) @ SY433 ) ) @ ( red @ SY434 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(511,plain,
! [SV106: $i,SV90: $i,SV64: $i,SV25: $i] :
( ( ~ ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
| ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
| ~ ( ~ ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(512,plain,
! [SV26: $i] :
( ( ~ ~ ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) )
| ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[465]) ).
thf(513,plain,
! [SV26: $i] :
( ( ~ ~ ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) )
| ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[466]) ).
thf(514,plain,
! [SV91: $i,SV65: $i,SV27: $i,SV107: $i] :
( ( ! [SY435: $i] :
( ~ ( ( SV107 != SY435 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV107 @ SV65 ) @ SY435 @ SV91 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SY435 @ SV91 ) @ SV107 @ SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(515,plain,
! [SV28: $i,SV66: $i] :
( ( ~ ( ~ ! [SY366: $i,SY367: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) ) ) )
| ( SV66 = SV28 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(516,plain,
! [SV28: $i,SV66: $i] :
( ( ~ ( ( SV66 != SV28 )
| ! [SY368: $i,SY369: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[468]) ).
thf(517,plain,
! [SV67: $i,SV29: $i] :
( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(518,plain,
! [SV29: $i,SV67: $i] :
( ( ~ ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
| ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[469]) ).
thf(519,plain,
! [SV108: $i,SV92: $i,SV68: $i,SV30: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
| ~ ( ( SV30 != SV92 )
| ( SV68 != SV108 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(520,plain,
! [SV31: $i] :
( ( SV31
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK5_SY269 @ SV31 ) ) @ ( sK14_SY417 @ SV31 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[471]) ).
thf(521,plain,
! [SV32: $i] :
( ( ! [SY436: $i,SY437: $i] :
( SV32
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK6_SY271 @ SV32 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK15_SY418 @ SV32 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY436 ) @ SY437 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[472]) ).
thf(522,plain,
! [SV33: $i,SV69: $i] :
( ( ( ! [SY372: $i,SY373: $i,SY374: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY372 ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY373 ) @ SY374 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(523,plain,
! [SV34: $i] :
( ( ~ ! [SY279: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY279 ) )
| ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[474]) ).
thf(524,plain,
! [SV34: $i] :
( ( ~ ! [SY282: $i,SY283: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY282 ) @ SY283 ) ) )
| ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[475]) ).
thf(525,plain,
! [SV35: $i,SV70: $i] :
( ( ~ ( ~ ! [SY375: $i,SY376: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) ) ) )
| ( SV70 = SV35 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(526,plain,
! [SV35: $i,SV70: $i] :
( ( ~ ( ( SV70 != SV35 )
| ! [SY377: $i,SY378: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[476]) ).
thf(527,plain,
! [SV109: $i,SV93: $i,SV71: $i,SV36: $i] :
( ( ~ ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
| ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
| ~ ( ~ ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(528,plain,
! [SV37: $i,SV72: $i] :
( ( ( ! [SY381: $i,SY382: $i,SY383: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY381 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY382 ) @ SY383 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ SV37 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(529,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ~ ( ~ ( ( SV110 != SV94 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= SV73 ) )
| ~ ( ~ ( ( SV110 != SV94 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(530,plain,
! [SV39: $i] :
( ( ! [SY438: $i] :
( SV39
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY300 @ SV39 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK16_SY423 @ SV39 ) ) @ SY438 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[480]) ).
thf(531,plain,
! [SV40: $i,SV74: $i] :
( ( ~ ( ~ ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) ) ) )
| ( SV74 = SV40 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(532,plain,
! [SV40: $i,SV74: $i] :
( ( ~ ( ( SV74 != SV40 )
| ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[481]) ).
thf(533,plain,
! [SV41: $i] :
( ( SV41
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_SY308 @ SV41 ) ) @ ( sK17_SY425 @ SV41 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[482]) ).
thf(534,plain,
! [SV42: $i] :
( ( ~ ! [SY310: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY310 ) )
| ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[483]) ).
thf(535,plain,
! [SV42: $i] :
( ( ~ ! [SY313: $i,SY314: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY313 ) @ SY314 ) ) )
| ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[484]) ).
thf(536,plain,
! [SV43: $i] :
( ( SV43
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK9_SY316 @ SV43 ) ) @ ( sK18_SY426 @ SV43 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[485]) ).
thf(537,plain,
! [SV111: $i,SV95: $i,SV75: $i,SV44: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
| ~ ( ( SV44 != SV95 )
| ( SV75 != SV111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(538,plain,
! [SV45: $i] :
( ( ~ ~ ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) )
| ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[487]) ).
thf(539,plain,
! [SV45: $i] :
( ( ~ ~ ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) )
| ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[488]) ).
thf(540,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ~ ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
!= SV6 )
| ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(541,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ~ ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
!= SV78 )
| ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[490]) ).
thf(542,plain,
! [SV7: $i] :
( ( SV7
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK1_SY184 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_SY393 @ SV7 ) ) @ ( sK19_SY428 @ SV7 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[491]) ).
thf(543,plain,
! [SV52: $i,SV8: $i,SV97: $i,SV79: $i] :
( ( ( ~ ( ( SV79 != SV97 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SV97 @ SV52 ) @ SV79 )
= ( hAPP_l207779698on_val @ SV8 @ SV79 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[492]) ).
thf(544,plain,
! [SV80: $i,SV53: $i,SV9: $i] :
( ( ( ( hAPP_l207779698on_val @ SV9 @ SV53 )
= ( some_val @ SV80 ) )
= $false )
| ( ( ( fun_up1149430426on_val @ SV9 @ SV53 @ ( some_val @ SV80 ) )
= SV9 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(545,plain,
! [SV10: $i] :
( ( ( ~ ! [SY192: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY192 ) ) )
= $true )
| ( ( ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(546,plain,
! [SV10: $i] :
( ( ( ~ ! [SY195: $i,SY196: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY195 ) @ SY196 ) ) ) )
= $true )
| ( ( ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[495]) ).
thf(547,plain,
! [SV11: $i] :
( ( ( ~ ~ ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[496]) ).
thf(548,plain,
! [SV11: $i] :
( ( ( ~ ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) ) )
= $true )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(549,plain,
! [SV112: $i,SV98: $i,SV81: $i,SV54: $i,SV12: $i] :
( ( ( ( fun_up1149430426on_val @ SV12 @ SV54 @ ( some_val @ SV81 ) )
!= ( fun_up1149430426on_val @ SV98 @ SV54 @ ( some_val @ SV112 ) ) )
| ( SV81 = SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(550,plain,
! [SV13: $i] :
( ( SV13
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK2_SY208 @ SV13 ) ) @ ( sK11_SY398 @ SV13 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[499]) ).
thf(551,plain,
! [SV14: $i,SV99: $i,SV82: $i,SV55: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV99 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV99 @ SV14 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV14 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(552,plain,
! [SV113: $i,SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ~ ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
!= ( some_val @ SV113 ) )
| ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
| ~ ( ~ ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(553,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ~ ( ( SV84 != SV101 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= SV57 ) )
| ~ ( ~ ( ( SV84 != SV101 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[502]) ).
thf(554,plain,
! [SV17: $i] :
( ( SV17
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK3_SY220 @ SV17 ) ) @ ( sK12_SY403 @ SV17 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[503]) ).
thf(555,plain,
! [SV85: $i,SV58: $i,SV18: $i] :
( ( ( ( hAPP_l207779698on_val @ SV18 @ SV58 )
= SV85 )
= $false )
| ( ( ( fun_up1149430426on_val @ SV18 @ SV58 @ SV85 )
= SV18 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[504]) ).
thf(556,plain,
! [SV102: $i,SV86: $i,SV59: $i,SV19: $i] :
( ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
| ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
| ~ ( ~ ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[505]) ).
thf(557,plain,
! [SV20: $i,SV60: $i] :
( ( ( ! [SY439: $i,SY440: $i,SY441: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_SY347 @ SV20 @ SV60 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY439 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY440 ) @ SY441 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[506]) ).
thf(558,plain,
! [SV103: $i,SV87: $i,SV61: $i,SV21: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $true )
| ( ( ~ ( ( SV21 != SV87 )
| ( SV61 != SV103 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[507]) ).
thf(559,plain,
! [SV22: $i,SV114: $i,SV104: $i,SV88: $i,SV62: $i] :
( ( ! [SY442: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV104 ) @ SV114 ) ) @ ( red @ SY442 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV104 ) ) @ SV114 ) ) @ ( red @ SY442 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(560,plain,
! [SV23: $i] :
( ( SV23
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK4_SY240 @ SV23 ) ) @ ( sK13_SY409 @ SV23 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[509]) ).
thf(561,plain,
! [SV24: $i,SV115: $i,SV105: $i,SV89: $i,SV63: $i] :
( ( ! [SY443: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV105 ) @ SV115 ) ) @ ( red @ SY443 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV105 @ SV24 ) ) @ SV115 ) ) @ ( red @ SY443 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(562,plain,
! [SV106: $i,SV90: $i,SV64: $i,SV25: $i] :
( ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
| ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
| ~ ( ~ ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(563,plain,
! [SV26: $i] :
( ( ( ~ ~ ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) ) )
= $true )
| ( ( ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[512]) ).
thf(564,plain,
! [SV26: $i] :
( ( ( ~ ~ ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[513]) ).
thf(565,plain,
! [SV91: $i,SV65: $i,SV27: $i,SV116: $i,SV107: $i] :
( ( ~ ( ( SV107 != SV116 ) )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV107 @ SV65 ) @ SV116 @ SV91 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV116 @ SV91 ) @ SV107 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(566,plain,
! [SV28: $i,SV66: $i] :
( ( ~ ! [SY366: $i,SY367: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) ) ) )
| ( SV66 = SV28 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[515]) ).
thf(567,plain,
! [SV28: $i,SV66: $i] :
( ( ( SV66 != SV28 )
| ! [SY368: $i,SY369: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[516]) ).
thf(568,plain,
! [SV67: $i,SV29: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[517]) ).
thf(569,plain,
! [SV29: $i,SV67: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
| ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[518]) ).
thf(570,plain,
! [SV108: $i,SV92: $i,SV68: $i,SV30: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $true )
| ( ( ~ ( ( SV30 != SV92 )
| ( SV68 != SV108 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[519]) ).
thf(571,plain,
! [SV31: $i] :
( ( SV31
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK5_SY269 @ SV31 ) ) @ ( sK14_SY417 @ SV31 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[520]) ).
thf(572,plain,
! [SV32: $i] :
( ( ! [SY444: $i] :
( SV32
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK6_SY271 @ SV32 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK15_SY418 @ SV32 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK21_SY436 @ SV32 ) ) @ SY444 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[521]) ).
thf(573,plain,
! [SV33: $i,SV69: $i] :
( ( ( ! [SY445: $i,SY446: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_SY372 @ SV33 @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY445 ) @ SY446 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[522]) ).
thf(574,plain,
! [SV34: $i] :
( ( ( ~ ! [SY279: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY279 ) ) )
= $true )
| ( ( ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[523]) ).
thf(575,plain,
! [SV34: $i] :
( ( ( ~ ! [SY282: $i,SY283: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY282 ) @ SY283 ) ) ) )
= $true )
| ( ( ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[524]) ).
thf(576,plain,
! [SV35: $i,SV70: $i] :
( ( ~ ! [SY375: $i,SY376: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) ) ) )
| ( SV70 = SV35 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[525]) ).
thf(577,plain,
! [SV35: $i,SV70: $i] :
( ( ( SV70 != SV35 )
| ! [SY377: $i,SY378: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[526]) ).
thf(578,plain,
! [SV109: $i,SV93: $i,SV71: $i,SV36: $i] :
( ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
| ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
| ~ ( ~ ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(579,plain,
! [SV37: $i,SV72: $i] :
( ( ( ! [SY447: $i,SY448: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK23_SY381 @ SV37 @ SV72 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY447 ) @ SY448 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ SV37 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[528]) ).
thf(580,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ~ ( ( SV110 != SV94 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= SV73 ) )
| ~ ( ~ ( ( SV110 != SV94 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[529]) ).
thf(581,plain,
! [SV39: $i] :
( ( SV39
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY300 @ SV39 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK16_SY423 @ SV39 ) ) @ ( sK24_SY438 @ SV39 ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[530]) ).
thf(582,plain,
! [SV40: $i,SV74: $i] :
( ( ~ ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) ) ) )
| ( SV74 = SV40 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(583,plain,
! [SV40: $i,SV74: $i] :
( ( ( SV74 != SV40 )
| ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(584,plain,
! [SV41: $i] :
( ( SV41
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK8_SY308 @ SV41 ) ) @ ( sK17_SY425 @ SV41 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(585,plain,
! [SV42: $i] :
( ( ( ~ ! [SY310: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY310 ) ) )
= $true )
| ( ( ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[534]) ).
thf(586,plain,
! [SV42: $i] :
( ( ( ~ ! [SY313: $i,SY314: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY313 ) @ SY314 ) ) ) )
= $true )
| ( ( ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[535]) ).
thf(587,plain,
! [SV43: $i] :
( ( SV43
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK9_SY316 @ SV43 ) ) @ ( sK18_SY426 @ SV43 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(588,plain,
! [SV111: $i,SV95: $i,SV75: $i,SV44: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $true )
| ( ( ~ ( ( SV44 != SV95 )
| ( SV75 != SV111 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[537]) ).
thf(589,plain,
! [SV45: $i] :
( ( ( ~ ~ ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) ) )
= $true )
| ( ( ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[538]) ).
thf(590,plain,
! [SV45: $i] :
( ( ( ~ ~ ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) ) )
= $true )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[539]) ).
thf(591,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
!= SV6 )
| ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(592,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
!= SV78 )
| ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(593,plain,
! [SV7: $i] :
( ( SV7
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK1_SY184 @ SV7 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_SY393 @ SV7 ) ) @ ( sK19_SY428 @ SV7 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(594,plain,
! [SV52: $i,SV8: $i,SV97: $i,SV79: $i] :
( ( ( SV79 != SV97 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SV97 @ SV52 ) @ SV79 )
= ( hAPP_l207779698on_val @ SV8 @ SV79 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[543]) ).
thf(595,plain,
! [SV10: $i] :
( ( ( ! [SY192: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY192 ) ) )
= $false )
| ( ( ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[545]) ).
thf(596,plain,
! [SV10: $i] :
( ( ( ! [SY195: $i,SY196: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY195 ) @ SY196 ) ) ) )
= $false )
| ( ( ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[546]) ).
thf(597,plain,
! [SV11: $i] :
( ( ( ~ ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) ) )
= $false )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[547]) ).
thf(598,plain,
! [SV11: $i] :
( ( ( ~ ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) ) )
= $false )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[548]) ).
thf(599,plain,
! [SV112: $i,SV98: $i,SV81: $i,SV54: $i,SV12: $i] :
( ( ( ( fun_up1149430426on_val @ SV12 @ SV54 @ ( some_val @ SV81 ) )
!= ( fun_up1149430426on_val @ SV98 @ SV54 @ ( some_val @ SV112 ) ) )
= $true )
| ( ( SV81 = SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[549]) ).
thf(600,plain,
! [SV14: $i,SV99: $i,SV82: $i,SV55: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV99 ) )
= $false )
| ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV99 @ SV14 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV14 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[551]) ).
thf(601,plain,
! [SV113: $i,SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
!= ( some_val @ SV113 ) )
| ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
| ~ ( ~ ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[552]) ).
thf(602,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ~ ( ( SV84 != SV101 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= SV57 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(603,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ~ ( ~ ( ( SV84 != SV101 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[553]) ).
thf(604,plain,
! [SV102: $i,SV86: $i,SV59: $i,SV19: $i] :
( ( ~ ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
| ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(605,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ~ ( ~ ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[556]) ).
thf(606,plain,
! [SV20: $i,SV60: $i] :
( ( ( ! [SY449: $i,SY450: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_SY347 @ SV20 @ SV60 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK25_SY439 @ SV20 @ SV60 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY449 ) @ SY450 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[557]) ).
thf(607,plain,
! [SV103: $i,SV87: $i,SV61: $i,SV21: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $false )
| ( ( ~ ( ( SV21 != SV87 )
| ( SV61 != SV103 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[558]) ).
thf(608,plain,
! [SV22: $i,SV117: $i,SV114: $i,SV104: $i,SV88: $i,SV62: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV104 ) @ SV114 ) ) @ ( red @ SV117 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV104 ) ) @ SV114 ) ) @ ( red @ SV117 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[559]) ).
thf(609,plain,
! [SV24: $i,SV118: $i,SV115: $i,SV105: $i,SV89: $i,SV63: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV105 ) @ SV115 ) ) @ ( red @ SV118 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV105 @ SV24 ) ) @ SV115 ) ) @ ( red @ SV118 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[561]) ).
thf(610,plain,
! [SV106: $i,SV90: $i,SV64: $i,SV25: $i] :
( ( ~ ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
| ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(611,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ~ ( ~ ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[562]) ).
thf(612,plain,
! [SV26: $i] :
( ( ( ~ ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) ) )
= $false )
| ( ( ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[563]) ).
thf(613,plain,
! [SV26: $i] :
( ( ( ~ ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) ) )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[564]) ).
thf(614,plain,
! [SV91: $i,SV65: $i,SV27: $i,SV116: $i,SV107: $i] :
( ( ( ~ ( ( SV107 != SV116 ) ) )
= $true )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV107 @ SV65 ) @ SV116 @ SV91 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV116 @ SV91 ) @ SV107 @ SV65 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[565]) ).
thf(615,plain,
! [SV28: $i,SV66: $i] :
( ( ( ~ ! [SY366: $i,SY367: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[566]) ).
thf(616,plain,
! [SV28: $i,SV66: $i] :
( ( ( SV66 != SV28 )
= $true )
| ( ( ! [SY368: $i,SY369: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[567]) ).
thf(617,plain,
! [SV67: $i,SV29: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[568]) ).
thf(618,plain,
! [SV29: $i,SV67: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[569]) ).
thf(619,plain,
! [SV108: $i,SV92: $i,SV68: $i,SV30: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $false )
| ( ( ~ ( ( SV30 != SV92 )
| ( SV68 != SV108 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[570]) ).
thf(620,plain,
! [SV32: $i] :
( ( SV32
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK6_SY271 @ SV32 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK15_SY418 @ SV32 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK21_SY436 @ SV32 ) ) @ ( sK26_SY444 @ SV32 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[572]) ).
thf(621,plain,
! [SV33: $i,SV69: $i] :
( ( ( ! [SY451: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_SY372 @ SV33 @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK27_SY445 @ SV33 @ SV69 ) ) @ SY451 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[573]) ).
thf(622,plain,
! [SV34: $i] :
( ( ( ! [SY279: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY279 ) ) )
= $false )
| ( ( ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[574]) ).
thf(623,plain,
! [SV34: $i] :
( ( ( ! [SY282: $i,SY283: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY282 ) @ SY283 ) ) ) )
= $false )
| ( ( ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[575]) ).
thf(624,plain,
! [SV35: $i,SV70: $i] :
( ( ( ~ ! [SY375: $i,SY376: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[576]) ).
thf(625,plain,
! [SV35: $i,SV70: $i] :
( ( ( SV70 != SV35 )
= $true )
| ( ( ! [SY377: $i,SY378: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[577]) ).
thf(626,plain,
! [SV109: $i,SV93: $i,SV71: $i,SV36: $i] :
( ( ~ ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
| ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(627,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ~ ( ~ ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[578]) ).
thf(628,plain,
! [SV37: $i,SV72: $i] :
( ( ( ! [SY452: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK23_SY381 @ SV37 @ SV72 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK28_SY447 @ SV37 @ SV72 ) ) @ SY452 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ SV37 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[579]) ).
thf(629,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ~ ( ( SV110 != SV94 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= SV73 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(630,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ~ ( ~ ( ( SV110 != SV94 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[580]) ).
thf(631,plain,
! [SV39: $i] :
( ( SV39
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_SY300 @ SV39 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK16_SY423 @ SV39 ) ) @ ( sK24_SY438 @ SV39 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[581]) ).
thf(632,plain,
! [SV40: $i,SV74: $i] :
( ( ( ~ ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(633,plain,
! [SV40: $i,SV74: $i] :
( ( ( SV74 != SV40 )
= $true )
| ( ( ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[583]) ).
thf(634,plain,
! [SV42: $i] :
( ( ( ! [SY310: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY310 ) ) )
= $false )
| ( ( ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[585]) ).
thf(635,plain,
! [SV42: $i] :
( ( ( ! [SY313: $i,SY314: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY313 ) @ SY314 ) ) ) )
= $false )
| ( ( ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[586]) ).
thf(636,plain,
! [SV111: $i,SV95: $i,SV75: $i,SV44: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $false )
| ( ( ~ ( ( SV44 != SV95 )
| ( SV75 != SV111 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[588]) ).
thf(637,plain,
! [SV45: $i] :
( ( ( ~ ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) ) )
= $false )
| ( ( ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[589]) ).
thf(638,plain,
! [SV45: $i] :
( ( ( ~ ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) ) )
= $false )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[590]) ).
thf(639,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
!= SV6 )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[591]) ).
thf(640,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
!= SV78 )
= $true )
| ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(641,plain,
! [SV52: $i,SV8: $i,SV97: $i,SV79: $i] :
( ( ( SV79 = SV97 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SV97 @ SV52 ) @ SV79 )
= ( hAPP_l207779698on_val @ SV8 @ SV79 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[594]) ).
thf(642,plain,
! [SV10: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( sK29_SY192 @ SV10 ) ) )
= $false )
| ( ( ! [SY193: $i,SY194: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY193 ) @ SY194 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[595]) ).
thf(643,plain,
! [SV10: $i] :
( ( ( ! [SY453: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_SY195 @ SV10 ) ) @ SY453 ) ) ) )
= $false )
| ( ( ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[596]) ).
thf(644,plain,
! [SV11: $i] :
( ( ( ! [SY198: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY198 ) ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[597]) ).
thf(645,plain,
! [SV11: $i] :
( ( ( ! [SY201: $i] :
~ ~ ! [SY202: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY201 ) @ SY202 ) ) ) )
= $true )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[598]) ).
thf(646,plain,
! [SV112: $i,SV98: $i,SV81: $i,SV54: $i,SV12: $i] :
( ( ( ( fun_up1149430426on_val @ SV12 @ SV54 @ ( some_val @ SV81 ) )
= ( fun_up1149430426on_val @ SV98 @ SV54 @ ( some_val @ SV112 ) ) )
= $false )
| ( ( SV81 = SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[599]) ).
thf(647,plain,
! [SV82: $i,SV14: $i,SV99: $i,SV55: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV99 @ SV14 ) ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV14 ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV99 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[600]) ).
thf(648,plain,
! [SV113: $i,SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ~ ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
!= ( some_val @ SV113 ) )
| ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(649,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ~ ( ~ ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[601]) ).
thf(650,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ( SV84 != SV101 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= SV57 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[602]) ).
thf(651,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ~ ( ( SV84 != SV101 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[603]) ).
thf(652,plain,
! [SV102: $i,SV86: $i,SV59: $i,SV19: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
| ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[604]) ).
thf(653,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ~ ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[605]) ).
thf(654,plain,
! [SV20: $i,SV60: $i] :
( ( ( ! [SY454: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_SY347 @ SV20 @ SV60 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK25_SY439 @ SV20 @ SV60 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY449 @ SV20 @ SV60 ) ) @ SY454 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[606]) ).
thf(655,plain,
! [SV103: $i,SV61: $i,SV87: $i,SV21: $i] :
( ( ( ( SV21 != SV87 )
| ( SV61 != SV103 ) )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[607]) ).
thf(656,plain,
! [SV22: $i,SV117: $i,SV114: $i,SV104: $i,SV88: $i,SV62: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV104 ) @ SV114 ) ) @ ( red @ SV117 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV104 ) ) @ SV114 ) ) @ ( red @ SV117 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[608]) ).
thf(657,plain,
! [SV24: $i,SV118: $i,SV115: $i,SV105: $i,SV89: $i,SV63: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV105 ) @ SV115 ) ) @ ( red @ SV118 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV105 @ SV24 ) ) @ SV115 ) ) @ ( red @ SV118 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(658,plain,
! [SV106: $i,SV90: $i,SV64: $i,SV25: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
| ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[610]) ).
thf(659,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ~ ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[611]) ).
thf(660,plain,
! [SV26: $i] :
( ( ( ! [SY250: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY250 ) ) )
= $true )
| ( ( ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[612]) ).
thf(661,plain,
! [SV26: $i] :
( ( ( ! [SY253: $i] :
~ ~ ! [SY254: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY253 ) @ SY254 ) ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[613]) ).
thf(662,plain,
! [SV91: $i,SV65: $i,SV27: $i,SV116: $i,SV107: $i] :
( ( ( SV107 != SV116 )
= $false )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV107 @ SV65 ) @ SV116 @ SV91 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV116 @ SV91 ) @ SV107 @ SV65 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[614]) ).
thf(663,plain,
! [SV28: $i,SV66: $i] :
( ( ( ! [SY366: $i,SY367: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY366 ) @ SY367 ) @ SV66 ) ) ) ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[615]) ).
thf(664,plain,
! [SV28: $i,SV66: $i] :
( ( ( SV66 = SV28 )
= $false )
| ( ( ! [SY368: $i,SY369: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY368 ) @ SY369 ) @ SV66 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(665,plain,
! [SV67: $i,SV29: $i] :
( ( ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[617]) ).
thf(666,plain,
! [SV29: $i,SV67: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV67 @ SV29 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ SV29 @ SV67 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[618]) ).
thf(667,plain,
! [SV108: $i,SV68: $i,SV92: $i,SV30: $i] :
( ( ( ( SV30 != SV92 )
| ( SV68 != SV108 ) )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[619]) ).
thf(668,plain,
! [SV32: $i] :
( ( SV32
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK6_SY271 @ SV32 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK15_SY418 @ SV32 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK21_SY436 @ SV32 ) ) @ ( sK26_SY444 @ SV32 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[620]) ).
thf(669,plain,
! [SV33: $i,SV69: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_SY372 @ SV33 @ SV69 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK27_SY445 @ SV33 @ SV69 ) ) @ ( sK32_SY451 @ SV33 @ SV69 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV69 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[621]) ).
thf(670,plain,
! [SV34: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( sK33_SY279 @ SV34 ) ) )
= $false )
| ( ( ! [SY280: $i,SY281: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY280 ) @ SY281 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[622]) ).
thf(671,plain,
! [SV34: $i] :
( ( ( ! [SY455: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK34_SY282 @ SV34 ) ) @ SY455 ) ) ) )
= $false )
| ( ( ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[623]) ).
thf(672,plain,
! [SV35: $i,SV70: $i] :
( ( ( ! [SY375: $i,SY376: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY375 ) @ SY376 ) @ SV70 ) ) ) ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[624]) ).
thf(673,plain,
! [SV35: $i,SV70: $i] :
( ( ( SV70 = SV35 )
= $false )
| ( ( ! [SY377: $i,SY378: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY377 ) @ SY378 ) @ SV70 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[625]) ).
thf(674,plain,
! [SV109: $i,SV93: $i,SV71: $i,SV36: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
| ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[626]) ).
thf(675,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ~ ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[627]) ).
thf(676,plain,
! [SV37: $i,SV72: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK23_SY381 @ SV37 @ SV72 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK28_SY447 @ SV37 @ SV72 ) ) @ ( sK35_SY452 @ SV37 @ SV72 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV72 @ SV37 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[628]) ).
thf(677,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ( SV110 != SV94 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= SV73 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(678,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ~ ( ( SV110 != SV94 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(679,plain,
! [SV40: $i,SV74: $i] :
( ( ( ! [SY386: $i,SY387: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY386 ) @ SY387 ) @ SV74 ) ) ) ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(680,plain,
! [SV40: $i,SV74: $i] :
( ( ( SV74 = SV40 )
= $false )
| ( ( ! [SY388: $i,SY389: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY388 ) @ SY389 ) @ SV74 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[633]) ).
thf(681,plain,
! [SV42: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( sK36_SY310 @ SV42 ) ) )
= $false )
| ( ( ! [SY311: $i,SY312: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY311 ) @ SY312 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[634]) ).
thf(682,plain,
! [SV42: $i] :
( ( ( ! [SY456: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK37_SY313 @ SV42 ) ) @ SY456 ) ) ) )
= $false )
| ( ( ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[635]) ).
thf(683,plain,
! [SV111: $i,SV75: $i,SV95: $i,SV44: $i] :
( ( ( ( SV44 != SV95 )
| ( SV75 != SV111 ) )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[636]) ).
thf(684,plain,
! [SV45: $i] :
( ( ( ! [SY321: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY321 ) ) )
= $true )
| ( ( ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[637]) ).
thf(685,plain,
! [SV45: $i] :
( ( ( ! [SY324: $i] :
~ ~ ! [SY325: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY324 ) @ SY325 ) ) ) )
= $true )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[638]) ).
thf(686,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 )
= $false )
| ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(687,plain,
! [SV78: $i,SV51: $i,SV6: $i] :
( ( ( ( hAPP_l207779698on_val @ SV6 @ SV51 )
= SV78 )
= $false )
| ( ( ( fun_up1149430426on_val @ SV6 @ SV51 @ SV78 )
= SV6 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[640]) ).
thf(688,plain,
! [SV119: $i,SV10: $i] :
( ( ( ! [SY457: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV119 ) @ SY457 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( sK29_SY192 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[642]) ).
thf(689,plain,
! [SV10: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_SY195 @ SV10 ) ) @ ( sK38_SY453 @ SV10 ) ) ) )
= $false )
| ( ( ! [SY197: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SY197 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[643]) ).
thf(690,plain,
! [SV120: $i,SV11: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) ) )
= $true )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[644]) ).
thf(691,plain,
! [SV121: $i,SV11: $i] :
( ( ( ~ ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SY458 ) ) ) )
= $true )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(692,plain,
! [SV82: $i,SV14: $i,SV99: $i,SV55: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV99 @ SV14 ) )
= $false )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV14 ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV55 @ SV82 @ SV99 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[647]) ).
thf(693,plain,
! [SV113: $i,SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
!= ( some_val @ SV113 ) )
| ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(694,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ~ ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[649]) ).
thf(695,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ( SV84 != SV101 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= SV57 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[650]) ).
thf(696,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ( ~ ( ( SV84 != SV101 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[651]) ).
thf(697,plain,
! [SV102: $i,SV86: $i,SV59: $i,SV19: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true )
| ( ( ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[652]) ).
thf(698,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( ~ ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(699,plain,
! [SV20: $i,SV60: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK20_SY347 @ SV20 @ SV60 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK25_SY439 @ SV20 @ SV60 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY449 @ SV20 @ SV60 ) ) @ ( sK39_SY454 @ SV20 @ SV60 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV60 @ SV20 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[654]) ).
thf(700,plain,
! [SV103: $i,SV61: $i,SV87: $i,SV21: $i] :
( ( ( SV21 != SV87 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(701,plain,
! [SV87: $i,SV21: $i,SV103: $i,SV61: $i] :
( ( ( SV61 != SV103 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[655]) ).
thf(702,plain,
! [SV22: $i,SV117: $i,SV114: $i,SV104: $i,SV88: $i,SV62: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV62 ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV104 ) @ SV114 ) ) @ ( red @ SV117 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV62 ) ) @ SV88 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV22 @ SV104 ) ) @ SV114 ) ) @ ( red @ SV117 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(703,plain,
! [SV24: $i,SV118: $i,SV115: $i,SV105: $i,SV89: $i,SV63: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV63 ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV105 ) @ SV115 ) ) @ ( red @ SV118 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV63 @ SV24 ) ) @ SV89 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV105 @ SV24 ) ) @ SV115 ) ) @ ( red @ SV118 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[657]) ).
thf(704,plain,
! [SV106: $i,SV90: $i,SV64: $i,SV25: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true )
| ( ( ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[658]) ).
thf(705,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( ~ ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[659]) ).
thf(706,plain,
! [SV122: $i,SV26: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) ) )
= $true )
| ( ( ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(707,plain,
! [SV123: $i,SV26: $i] :
( ( ( ~ ~ ! [SY459: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SY459 ) ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(708,plain,
! [SV91: $i,SV65: $i,SV27: $i,SV116: $i,SV107: $i] :
( ( ( SV107 = SV116 )
= $true )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV107 @ SV65 ) @ SV116 @ SV91 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV27 @ SV116 @ SV91 ) @ SV107 @ SV65 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[662]) ).
thf(709,plain,
! [SV66: $i,SV28: $i] :
( ( ( ! [SY460: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ SY460 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ SY460 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ SY460 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ SY460 ) @ SV66 ) ) ) ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[663]) ).
thf(710,plain,
! [SV28: $i,SV66: $i,SV124: $i] :
( ( ( ! [SY461: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SY461 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SY461 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SY461 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SY461 ) @ SV66 ) ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(711,plain,
! [SV108: $i,SV68: $i,SV92: $i,SV30: $i] :
( ( ( SV30 != SV92 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(712,plain,
! [SV92: $i,SV30: $i,SV108: $i,SV68: $i] :
( ( ( SV68 != SV108 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[667]) ).
thf(713,plain,
! [SV125: $i,SV34: $i] :
( ( ( ! [SY462: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV125 ) @ SY462 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( sK33_SY279 @ SV34 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[670]) ).
thf(714,plain,
! [SV34: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK34_SY282 @ SV34 ) ) @ ( sK41_SY455 @ SV34 ) ) ) )
= $false )
| ( ( ! [SY284: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SY284 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[671]) ).
thf(715,plain,
! [SV70: $i,SV35: $i] :
( ( ( ! [SY463: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ SY463 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ SY463 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ SY463 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ SY463 ) @ SV70 ) ) ) ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[672]) ).
thf(716,plain,
! [SV35: $i,SV70: $i,SV126: $i] :
( ( ( ! [SY464: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SY464 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SY464 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SY464 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SY464 ) @ SV70 ) ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(717,plain,
! [SV109: $i,SV93: $i,SV71: $i,SV36: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true )
| ( ( ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[674]) ).
thf(718,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( ~ ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[675]) ).
thf(719,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ( SV110 != SV94 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= SV73 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[677]) ).
thf(720,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ( ~ ( ( SV110 != SV94 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[678]) ).
thf(721,plain,
! [SV74: $i,SV40: $i] :
( ( ( ! [SY465: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ SY465 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ SY465 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ SY465 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ SY465 ) @ SV74 ) ) ) ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[679]) ).
thf(722,plain,
! [SV40: $i,SV74: $i,SV127: $i] :
( ( ( ! [SY466: $i] :
~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SY466 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SY466 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SY466 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SY466 ) @ SV74 ) ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(723,plain,
! [SV128: $i,SV42: $i] :
( ( ( ! [SY467: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV128 ) @ SY467 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( sK36_SY310 @ SV42 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(724,plain,
! [SV42: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK37_SY313 @ SV42 ) ) @ ( sK44_SY456 @ SV42 ) ) ) )
= $false )
| ( ( ! [SY315: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SY315 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[682]) ).
thf(725,plain,
! [SV111: $i,SV75: $i,SV95: $i,SV44: $i] :
( ( ( SV44 != SV95 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(726,plain,
! [SV95: $i,SV44: $i,SV111: $i,SV75: $i] :
( ( ( SV75 != SV111 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[683]) ).
thf(727,plain,
! [SV129: $i,SV45: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) ) )
= $true )
| ( ( ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(728,plain,
! [SV130: $i,SV45: $i] :
( ( ( ~ ~ ! [SY468: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SY468 ) ) ) )
= $true )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(729,plain,
! [SV131: $i,SV119: $i,SV10: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV119 ) @ SV131 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( sK29_SY192 @ SV10 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(730,plain,
! [SV132: $i,SV10: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ SV132 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV10 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_SY195 @ SV10 ) ) @ ( sK38_SY453 @ SV10 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(731,plain,
! [SV120: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false )
| ( ( ~ ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[690]) ).
thf(732,plain,
! [SV121: $i,SV11: $i] :
( ( ( ~ ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SY458 ) ) ) )
= $false )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[691]) ).
thf(733,plain,
! [SV113: $i,SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
!= ( some_val @ SV113 ) )
= $true )
| ( ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[693]) ).
thf(734,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[694]) ).
thf(735,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ( SV84 = SV101 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= SV57 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(736,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ( SV84 != SV101 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(737,plain,
! [SV102: $i,SV86: $i,SV59: $i,SV19: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $false )
| ( ( ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[697]) ).
thf(738,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( ~ ( ( SV19 != SV86 )
| ( SV59 != SV102 ) ) )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[698]) ).
thf(739,plain,
! [SV103: $i,SV61: $i,SV87: $i,SV21: $i] :
( ( ( SV21 = SV87 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[700]) ).
thf(740,plain,
! [SV87: $i,SV21: $i,SV103: $i,SV61: $i] :
( ( ( SV61 = SV103 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV21 ) @ SV61 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV87 ) @ SV103 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[701]) ).
thf(741,plain,
! [SV106: $i,SV90: $i,SV64: $i,SV25: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $false )
| ( ( ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(742,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( ~ ( ( SV25 != SV90 )
| ( SV64 != SV106 ) ) )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(743,plain,
! [SV122: $i,SV26: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false )
| ( ( ~ ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[706]) ).
thf(744,plain,
! [SV123: $i,SV26: $i] :
( ( ( ~ ! [SY459: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SY459 ) ) ) )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(745,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[709]) ).
thf(746,plain,
! [SV28: $i,SV66: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(747,plain,
! [SV108: $i,SV68: $i,SV92: $i,SV30: $i] :
( ( ( SV30 = SV92 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[711]) ).
thf(748,plain,
! [SV92: $i,SV30: $i,SV108: $i,SV68: $i] :
( ( ( SV68 = SV108 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV30 ) @ SV68 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV92 ) @ SV108 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[712]) ).
thf(749,plain,
! [SV134: $i,SV125: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV125 ) @ SV134 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( sK33_SY279 @ SV34 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[713]) ).
thf(750,plain,
! [SV135: $i,SV34: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ SV135 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV34 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK34_SY282 @ SV34 ) ) @ ( sK41_SY455 @ SV34 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[714]) ).
thf(751,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[715]) ).
thf(752,plain,
! [SV35: $i,SV70: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[716]) ).
thf(753,plain,
! [SV109: $i,SV93: $i,SV71: $i,SV36: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $false )
| ( ( ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[717]) ).
thf(754,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( ~ ( ( SV36 != SV93 )
| ( SV71 != SV109 ) ) )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(755,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = SV94 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= SV73 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(756,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ( SV110 != SV94 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[720]) ).
thf(757,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[721]) ).
thf(758,plain,
! [SV40: $i,SV74: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(759,plain,
! [SV138: $i,SV128: $i,SV42: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV128 ) @ SV138 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( sK36_SY310 @ SV42 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(760,plain,
! [SV139: $i,SV42: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ SV139 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV42 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK37_SY313 @ SV42 ) ) @ ( sK44_SY456 @ SV42 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(761,plain,
! [SV111: $i,SV75: $i,SV95: $i,SV44: $i] :
( ( ( SV44 = SV95 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[725]) ).
thf(762,plain,
! [SV95: $i,SV44: $i,SV111: $i,SV75: $i] :
( ( ( SV75 = SV111 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV44 ) @ SV75 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV95 ) @ SV111 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(763,plain,
! [SV129: $i,SV45: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false )
| ( ( ~ ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[727]) ).
thf(764,plain,
! [SV130: $i,SV45: $i] :
( ( ( ~ ! [SY468: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SY468 ) ) ) )
= $false )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(765,plain,
! [SV120: $i,SV11: $i] :
( ( ( ! [SY199: $i] :
~ ~ ! [SY200: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY199 ) @ SY200 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[731]) ).
thf(766,plain,
! [SV121: $i,SV11: $i] :
( ( ( ! [SY458: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SY458 ) ) ) )
= $true )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[732]) ).
thf(767,plain,
! [SV113: $i,SV100: $i,SV83: $i,SV56: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false )
| ( ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[733]) ).
thf(768,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
| ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[734]) ).
thf(769,plain,
! [SV57: $i,SV16: $i,SV101: $i,SV84: $i] :
( ( ( SV84 = SV101 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV16 @ SV101 @ SV57 ) @ SV84 )
= ( hAPP_l207779698on_val @ SV16 @ SV84 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[736]) ).
thf(770,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( ( SV19 != SV86 )
| ( SV59 != SV102 ) )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[737]) ).
thf(771,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( ( SV19 != SV86 )
| ( SV59 != SV102 ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[738]) ).
thf(772,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( ( SV25 != SV90 )
| ( SV64 != SV106 ) )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(773,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( ( SV25 != SV90 )
| ( SV64 != SV106 ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[742]) ).
thf(774,plain,
! [SV122: $i,SV26: $i] :
( ( ( ! [SY251: $i] :
~ ~ ! [SY252: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY251 ) @ SY252 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(775,plain,
! [SV123: $i,SV26: $i] :
( ( ( ! [SY459: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SY459 ) ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[744]) ).
thf(776,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[745]) ).
thf(777,plain,
! [SV28: $i,SV66: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) ) )
| ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) ) ) )
= $false )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[746]) ).
thf(778,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[751]) ).
thf(779,plain,
! [SV35: $i,SV70: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) ) )
| ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) ) ) )
= $false )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(780,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( ( SV36 != SV93 )
| ( SV71 != SV109 ) )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[753]) ).
thf(781,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( ( SV36 != SV93 )
| ( SV71 != SV109 ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[754]) ).
thf(782,plain,
! [SV73: $i,SV38: $i,SV94: $i,SV110: $i] :
( ( ( SV110 = SV94 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV38 @ SV94 @ SV73 ) @ SV110 )
= ( hAPP_l207779698on_val @ SV38 @ SV110 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[756]) ).
thf(783,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[757]) ).
thf(784,plain,
! [SV40: $i,SV74: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) ) )
| ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) ) ) )
= $false )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[758]) ).
thf(785,plain,
! [SV129: $i,SV45: $i] :
( ( ( ! [SY322: $i] :
~ ~ ! [SY323: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY322 ) @ SY323 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[763]) ).
thf(786,plain,
! [SV130: $i,SV45: $i] :
( ( ( ! [SY468: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SY468 ) ) ) )
= $true )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[764]) ).
thf(787,plain,
! [SV120: $i,SV11: $i] :
( ( ( ~ ~ ! [SY469: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_SY199 @ SV120 @ SV11 ) ) @ SY469 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[765]) ).
thf(788,plain,
! [SV140: $i,SV121: $i,SV11: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SV140 ) ) ) )
= $true )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(789,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) ) )
= $true )
| ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[767]) ).
thf(790,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 )
| ( SV83 != SV113 ) ) )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(791,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[768]) ).
thf(792,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( SV19 != SV86 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(793,plain,
! [SV86: $i,SV19: $i,SV102: $i,SV59: $i] :
( ( ( SV59 != SV102 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[770]) ).
thf(794,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( SV19 != SV86 )
= $true )
| ( ( SV59 != SV102 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[771]) ).
thf(795,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( SV25 != SV90 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(796,plain,
! [SV90: $i,SV25: $i,SV106: $i,SV64: $i] :
( ( ( SV64 != SV106 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[772]) ).
thf(797,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( SV25 != SV90 )
= $true )
| ( ( SV64 != SV106 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[773]) ).
thf(798,plain,
! [SV122: $i,SV26: $i] :
( ( ( ~ ~ ! [SY470: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_SY251 @ SV122 @ SV26 ) ) @ SY470 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[774]) ).
thf(799,plain,
! [SV141: $i,SV123: $i,SV26: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SV141 ) ) ) )
= $true )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[775]) ).
thf(800,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[776]) ).
thf(801,plain,
! [SV28: $i,SV66: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) ) ) )
= $false )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(802,plain,
! [SV66: $i,SV28: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) ) ) )
= $false )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[777]) ).
thf(803,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[778]) ).
thf(804,plain,
! [SV35: $i,SV70: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) ) ) )
= $false )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(805,plain,
! [SV70: $i,SV35: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) ) ) )
= $false )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[779]) ).
thf(806,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( SV36 != SV93 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(807,plain,
! [SV93: $i,SV36: $i,SV109: $i,SV71: $i] :
( ( ( SV71 != SV109 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[780]) ).
thf(808,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( SV36 != SV93 )
= $true )
| ( ( SV71 != SV109 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(809,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[783]) ).
thf(810,plain,
! [SV40: $i,SV74: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) ) ) )
= $false )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(811,plain,
! [SV74: $i,SV40: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) ) ) )
= $false )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(812,plain,
! [SV129: $i,SV45: $i] :
( ( ( ~ ~ ! [SY471: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY322 @ SV129 @ SV45 ) ) @ SY471 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[785]) ).
thf(813,plain,
! [SV142: $i,SV130: $i,SV45: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SV142 ) ) ) )
= $true )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[786]) ).
thf(814,plain,
! [SV120: $i,SV11: $i] :
( ( ( ~ ! [SY469: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_SY199 @ SV120 @ SV11 ) ) @ SY469 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[787]) ).
thf(815,plain,
! [SV140: $i,SV121: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SV140 ) ) )
= $false )
| ( ( ~ ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[788]) ).
thf(816,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
= $false )
| ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[789]) ).
thf(817,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ( SV100 != SV56 )
| ( SV83 != SV113 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[790]) ).
thf(818,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[791]) ).
thf(819,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( SV19 = SV86 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[792]) ).
thf(820,plain,
! [SV86: $i,SV19: $i,SV102: $i,SV59: $i] :
( ( ( SV59 = SV102 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(821,plain,
! [SV102: $i,SV59: $i,SV86: $i,SV19: $i] :
( ( ( SV19 = SV86 )
= $false )
| ( ( SV59 != SV102 )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[794]) ).
thf(822,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( SV25 = SV90 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[795]) ).
thf(823,plain,
! [SV90: $i,SV25: $i,SV106: $i,SV64: $i] :
( ( ( SV64 = SV106 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[796]) ).
thf(824,plain,
! [SV106: $i,SV64: $i,SV90: $i,SV25: $i] :
( ( ( SV25 = SV90 )
= $false )
| ( ( SV64 != SV106 )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[797]) ).
thf(825,plain,
! [SV122: $i,SV26: $i] :
( ( ( ~ ! [SY470: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_SY251 @ SV122 @ SV26 ) ) @ SY470 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[798]) ).
thf(826,plain,
! [SV141: $i,SV123: $i,SV26: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SV141 ) ) )
= $false )
| ( ( ~ ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[799]) ).
thf(827,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[800]) ).
thf(828,plain,
! [SV28: $i,SV66: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(829,plain,
! [SV66: $i,SV28: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(830,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[803]) ).
thf(831,plain,
! [SV35: $i,SV70: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[804]) ).
thf(832,plain,
! [SV70: $i,SV35: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[805]) ).
thf(833,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( SV36 = SV93 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(834,plain,
! [SV93: $i,SV36: $i,SV109: $i,SV71: $i] :
( ( ( SV71 = SV109 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(835,plain,
! [SV109: $i,SV71: $i,SV93: $i,SV36: $i] :
( ( ( SV36 = SV93 )
= $false )
| ( ( SV71 != SV109 )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[808]) ).
thf(836,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[809]) ).
thf(837,plain,
! [SV40: $i,SV74: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(838,plain,
! [SV74: $i,SV40: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(839,plain,
! [SV129: $i,SV45: $i] :
( ( ( ~ ! [SY471: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY322 @ SV129 @ SV45 ) ) @ SY471 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[812]) ).
thf(840,plain,
! [SV142: $i,SV130: $i,SV45: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SV142 ) ) )
= $false )
| ( ( ~ ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[813]) ).
thf(841,plain,
! [SV120: $i,SV11: $i] :
( ( ( ! [SY469: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_SY199 @ SV120 @ SV11 ) ) @ SY469 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[814]) ).
thf(842,plain,
! [SV140: $i,SV121: $i,SV11: $i] :
( ( ( ! [SY203: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SY203 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SV140 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[815]) ).
thf(843,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( SV100 != SV56 )
= $false )
| ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(844,plain,
! [SV15: $i,SV56: $i,SV100: $i,SV113: $i,SV83: $i] :
( ( ( SV83 != SV113 )
= $false )
| ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[816]) ).
thf(845,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( SV100 != SV56 )
= $true )
| ( ( SV83 != SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(846,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(847,plain,
! [SV86: $i,SV19: $i,SV102: $i,SV59: $i] :
( ( ( SV59 = SV102 )
= $false )
| ( ( SV19 = SV86 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV19 ) @ SV59 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV86 ) @ SV102 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[821]) ).
thf(848,plain,
! [SV90: $i,SV25: $i,SV106: $i,SV64: $i] :
( ( ( SV64 = SV106 )
= $false )
| ( ( SV25 = SV90 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV25 ) @ SV64 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV106 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[824]) ).
thf(849,plain,
! [SV122: $i,SV26: $i] :
( ( ( ! [SY470: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_SY251 @ SV122 @ SV26 ) ) @ SY470 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[825]) ).
thf(850,plain,
! [SV141: $i,SV123: $i,SV26: $i] :
( ( ( ! [SY255: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SY255 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SV141 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(851,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(852,plain,
! [SV66: $i,SV28: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[827]) ).
thf(853,plain,
! [SV28: $i,SV66: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[828]) ).
thf(854,plain,
! [SV66: $i,SV28: $i,SV133: $i,SV124: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[829]) ).
thf(855,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(856,plain,
! [SV70: $i,SV35: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[830]) ).
thf(857,plain,
! [SV35: $i,SV70: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(858,plain,
! [SV70: $i,SV35: $i,SV136: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[832]) ).
thf(859,plain,
! [SV93: $i,SV36: $i,SV109: $i,SV71: $i] :
( ( ( SV71 = SV109 )
= $false )
| ( ( SV36 = SV93 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV36 ) @ SV71 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV93 ) @ SV109 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(860,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(861,plain,
! [SV74: $i,SV40: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[836]) ).
thf(862,plain,
! [SV40: $i,SV74: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(863,plain,
! [SV74: $i,SV40: $i,SV137: $i,SV127: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[838]) ).
thf(864,plain,
! [SV129: $i,SV45: $i] :
( ( ( ! [SY471: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY322 @ SV129 @ SV45 ) ) @ SY471 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[839]) ).
thf(865,plain,
! [SV142: $i,SV130: $i,SV45: $i] :
( ( ( ! [SY326: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SY326 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SV142 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(866,plain,
! [SV120: $i,SV11: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_SY199 @ SV120 @ SV11 ) ) @ ( sK51_SY469 @ SV120 @ SV11 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[841]) ).
thf(867,plain,
! [SV121: $i,SV140: $i,SV11: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( sK52_SY203 @ SV140 @ SV121 @ SV11 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SV140 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[842]) ).
thf(868,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( SV100 = SV56 )
= $true )
| ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[843]) ).
thf(869,plain,
! [SV15: $i,SV56: $i,SV100: $i,SV113: $i,SV83: $i] :
( ( ( SV83 = SV113 )
= $true )
| ( ( ~ ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[844]) ).
thf(870,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( SV100 = SV56 )
= $false )
| ( ( SV83 != SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(871,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( SV100 != SV56 )
= $false )
| ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[846]) ).
thf(872,plain,
! [SV122: $i,SV26: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_SY251 @ SV122 @ SV26 ) ) @ ( sK53_SY470 @ SV122 @ SV26 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[849]) ).
thf(873,plain,
! [SV123: $i,SV141: $i,SV26: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( sK54_SY255 @ SV141 @ SV123 @ SV26 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SV141 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[850]) ).
thf(874,plain,
! [SV66: $i,SV28: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[851]) ).
thf(875,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[852]) ).
thf(876,plain,
! [SV28: $i,SV66: $i,SV133: $i,SV124: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(877,plain,
! [SV66: $i,SV28: $i,SV133: $i,SV124: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV28 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV124 ) @ SV133 ) @ SV66 ) )
= $true )
| ( ( SV66 = SV28 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[854]) ).
thf(878,plain,
! [SV70: $i,SV35: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[855]) ).
thf(879,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(880,plain,
! [SV35: $i,SV70: $i,SV136: $i,SV126: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(881,plain,
! [SV70: $i,SV35: $i,SV136: $i,SV126: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV35 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV126 ) @ SV136 ) @ SV70 ) )
= $true )
| ( ( SV70 = SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(882,plain,
! [SV74: $i,SV40: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[860]) ).
thf(883,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[861]) ).
thf(884,plain,
! [SV40: $i,SV74: $i,SV137: $i,SV127: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[862]) ).
thf(885,plain,
! [SV74: $i,SV40: $i,SV137: $i,SV127: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV40 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV127 ) @ SV137 ) @ SV74 ) )
= $true )
| ( ( SV74 = SV40 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(886,plain,
! [SV129: $i,SV45: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY322 @ SV129 @ SV45 ) ) @ ( sK55_SY471 @ SV129 @ SV45 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[864]) ).
thf(887,plain,
! [SV130: $i,SV142: $i,SV45: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( sK56_SY326 @ SV142 @ SV130 @ SV45 ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SV142 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[865]) ).
thf(888,plain,
! [SV120: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_SY199 @ SV120 @ SV11 ) ) @ ( sK51_SY469 @ SV120 @ SV11 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ SV120 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[866]) ).
thf(889,plain,
! [SV121: $i,SV140: $i,SV11: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( sK52_SY203 @ SV140 @ SV121 @ SV11 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV11 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV121 ) @ SV140 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[867]) ).
thf(890,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) )
= $false )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[868]) ).
thf(891,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 ) )
| ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) ) )
= $false )
| ( ( SV83 = SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(892,plain,
! [SV15: $i,SV56: $i,SV100: $i,SV113: $i,SV83: $i] :
( ( ( SV83 = SV113 )
= $false )
| ( ( SV100 = SV56 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[870]) ).
thf(893,plain,
! [SV83: $i,SV113: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[871]) ).
thf(894,plain,
! [SV122: $i,SV26: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK49_SY251 @ SV122 @ SV26 ) ) @ ( sK53_SY470 @ SV122 @ SV26 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ SV122 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[872]) ).
thf(895,plain,
! [SV123: $i,SV141: $i,SV26: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( sK54_SY255 @ SV141 @ SV123 @ SV26 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV26 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV123 ) @ SV141 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[873]) ).
thf(896,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(897,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(898,plain,
! [SV66: $i,SV28: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[875]) ).
thf(899,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[878]) ).
thf(900,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(901,plain,
! [SV70: $i,SV35: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[879]) ).
thf(902,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(903,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(904,plain,
! [SV74: $i,SV40: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[883]) ).
thf(905,plain,
! [SV129: $i,SV45: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK50_SY322 @ SV129 @ SV45 ) ) @ ( sK55_SY471 @ SV129 @ SV45 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ SV129 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[886]) ).
thf(906,plain,
! [SV130: $i,SV142: $i,SV45: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( sK56_SY326 @ SV142 @ SV130 @ SV45 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV45 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV130 ) @ SV142 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[887]) ).
thf(907,plain,
! [SV113: $i,SV83: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 ) ) )
= $false )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(908,plain,
! [SV83: $i,SV56: $i,SV113: $i,SV100: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) )
= $false )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[890]) ).
thf(909,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( ~ ( ( SV100 != SV56 ) ) )
= $false )
| ( ( SV83 = SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(910,plain,
! [SV56: $i,SV83: $i,SV113: $i,SV100: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
!= ( some_val @ SV113 ) )
= $false )
| ( ( SV83 = SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[891]) ).
thf(911,plain,
! [SV83: $i,SV56: $i,SV113: $i,SV100: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
= ( some_val @ SV113 ) )
= $false )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(912,plain,
! [SV66: $i,SV28: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(913,plain,
! [SV66: $i,SV28: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[896]) ).
thf(914,plain,
! [SV66: $i,SV28: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $false )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[897]) ).
thf(915,plain,
! [SV70: $i,SV35: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(916,plain,
! [SV70: $i,SV35: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[899]) ).
thf(917,plain,
! [SV70: $i,SV35: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $false )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[900]) ).
thf(918,plain,
! [SV74: $i,SV40: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(919,plain,
! [SV74: $i,SV40: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[902]) ).
thf(920,plain,
! [SV74: $i,SV40: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $false )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[903]) ).
thf(921,plain,
! [SV113: $i,SV83: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( SV100 != SV56 )
= $true )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[907]) ).
thf(922,plain,
! [SV83: $i,SV56: $i,SV113: $i,SV100: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
= ( some_val @ SV113 ) )
= $true )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[908]) ).
thf(923,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( SV100 != SV56 )
= $true )
| ( ( SV83 = SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[909]) ).
thf(924,plain,
! [SV56: $i,SV83: $i,SV113: $i,SV100: $i,SV15: $i] :
( ( ( ( hAPP_l207779698on_val @ SV15 @ SV100 )
= ( some_val @ SV113 ) )
= $true )
| ( ( SV83 = SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[910]) ).
thf(925,plain,
! [SV66: $i,SV28: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV28 ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY366 @ SV28 @ SV66 ) ) @ ( sK45_SY460 @ SV66 @ SV28 ) ) @ SV66 ) )
= $true )
| ( ( SV66 = SV28 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[912]) ).
thf(926,plain,
! [SV70: $i,SV35: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV35 ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_SY375 @ SV35 @ SV70 ) ) @ ( sK46_SY463 @ SV70 @ SV35 ) ) @ SV70 ) )
= $true )
| ( ( SV70 = SV35 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(927,plain,
! [SV74: $i,SV40: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV40 ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK43_SY386 @ SV40 @ SV74 ) ) @ ( sK47_SY465 @ SV74 @ SV40 ) ) @ SV74 ) )
= $true )
| ( ( SV74 = SV40 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[918]) ).
thf(928,plain,
! [SV113: $i,SV83: $i,SV15: $i,SV56: $i,SV100: $i] :
( ( ( SV100 = SV56 )
= $false )
| ( ( SV100 = SV56 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(929,plain,
! [SV15: $i,SV113: $i,SV83: $i,SV56: $i,SV100: $i] :
( ( ( SV100 = SV56 )
= $false )
| ( ( SV83 = SV113 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV15 @ SV56 @ ( some_val @ SV83 ) ) @ SV100 )
= ( some_val @ SV113 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[923]) ).
thf(930,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[264,929,928,927,926,925,924,922,920,919,917,916,914,913,911,906,905,904,901,898,895,894,892,889,888,885,884,881,880,877,876,859,848,847,834,833,823,822,820,819,782,769,762,761,760,759,755,750,749,748,747,740,739,735,730,729,708,703,702,699,692,687,686,676,669,668,666,665,646,641,631,593,587,584,571,560,555,554,550,544,489,441,400,397,396,355]) ).
thf(931,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[930]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWW478+1 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.02 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.00/0.11 % Computer : n012.cluster.edu
% 0.00/0.11 % Model : x86_64 x86_64
% 0.00/0.11 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.11 % Memory : 8046.5625MB
% 0.00/0.11 % OS : Linux 6.8.0-71-generic
% 0.00/0.11 % CPULimit : 300
% 0.00/0.11 % WCLimit : 300
% 0.00/0.11 % DateTime : Tue Oct 6 16:59:16 UTC 2026
% 0.00/0.11 % CPUTime :
% 0.00/0.11 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.42/0.99 .
% 4.42/0.99
% 4.42/0.99 No.of.Axioms: 46
% 4.42/0.99
% 4.42/0.99 Length.of.Defs: 0
% 4.42/0.99
% 4.42/0.99 Contains.Choice.Funs: false
% 4.42/0.99 ....................................
% 4.42/0.99
% 4.42/0.99 ********************************
% 4.42/0.99 * All subproblems solved! *
% 4.42/0.99 ********************************
% 4.42/0.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:46,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:930,loop_count:0,foatp_calls:1,translation:fof_full)
% 4.42/0.99
% 4.42/0.99 %**** Beginning of derivation protocol ****
% 4.42/0.99 % SZS output start CNFRefutation
% See solution above
% 4.42/1.00
% 4.42/1.00 %**** End of derivation protocol ****
% 4.42/1.00 %**** no. of clauses in derivation: 765 ****
% 4.42/1.00 %**** clause counter: 930 ****
% 4.42/1.00
% 4.42/1.00 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:46,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:930,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------