TSTP Solution File: SWW478+1 by LEO-II---1.7.0
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- Process Solution
%------------------------------------------------------------------------------
% File : LEO-II---1.7.0
% Problem : SWW478+1 : TPTP v8.1.0. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:50:35 EDT 2022
% Result : Theorem 2.25s 2.49s
% Output : CNFRefutation 2.72s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 347
% Syntax : Number of formulae : 1438 ( 853 unt; 256 typ; 0 def)
% Number of atoms : 6078 (3365 equ; 0 cnn)
% Maximal formula atoms : 5 ( 5 avg)
% Number of connectives : 21302 (2093 ~;1766 |; 112 &;17219 @)
% ( 48 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 4 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 346 ( 346 >; 0 *; 0 +; 0 <<)
% Number of symbols : 259 ( 256 usr; 64 con; 0-5 aty)
% Number of variables : 5051 ( 0 ^5031 !; 20 ?;5051 :)
% 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_A_15,type,
sK10_A_15: $i > $i ).
thf(tp_sK11_SY334,type,
sK11_SY334: $i > $i ).
thf(tp_sK12_X1,type,
sK12_X1: $i > $i ).
thf(tp_sK13_A_15,type,
sK13_A_15: $i > $i ).
thf(tp_sK14_SY335,type,
sK14_SY335: $i > $i ).
thf(tp_sK15_X1,type,
sK15_X1: $i > $i ).
thf(tp_sK16_A_15,type,
sK16_A_15: $i > $i ).
thf(tp_sK17_SY336,type,
sK17_SY336: $i > $i ).
thf(tp_sK18_A_15,type,
sK18_A_15: $i > $i ).
thf(tp_sK19_SY337,type,
sK19_SY337: $i > $i ).
thf(tp_sK1_T_5,type,
sK1_T_5: $i > $i > $i ).
thf(tp_sK20_A_15,type,
sK20_A_15: $i > $i ).
thf(tp_sK21_SY338,type,
sK21_SY338: $i > $i ).
thf(tp_sK22_A_15,type,
sK22_A_15: $i > $i ).
thf(tp_sK23_SY339,type,
sK23_SY339: $i > $i ).
thf(tp_sK24_X,type,
sK24_X: $i > $i > $i ).
thf(tp_sK25_SY340,type,
sK25_SY340: $i > $i > $i ).
thf(tp_sK26_X,type,
sK26_X: $i > $i > $i ).
thf(tp_sK27_SY341,type,
sK27_SY341: $i > $i > $i ).
thf(tp_sK28_X,type,
sK28_X: $i > $i > $i ).
thf(tp_sK29_SY342,type,
sK29_SY342: $i > $i > $i ).
thf(tp_sK2_X,type,
sK2_X: $i > $i > $i > $i ).
thf(tp_sK30_A_15,type,
sK30_A_15: $i > $i > $i ).
thf(tp_sK31_SY343,type,
sK31_SY343: $i > $i > $i ).
thf(tp_sK32_SY345,type,
sK32_SY345: $i > $i > $i ).
thf(tp_sK33_A_15,type,
sK33_A_15: $i > $i > $i ).
thf(tp_sK34_SY346,type,
sK34_SY346: $i > $i > $i ).
thf(tp_sK35_SY348,type,
sK35_SY348: $i > $i > $i ).
thf(tp_sK36_A_15,type,
sK36_A_15: $i > $i ).
thf(tp_sK37_SY349,type,
sK37_SY349: $i > $i ).
thf(tp_sK38_SY351,type,
sK38_SY351: $i > $i ).
thf(tp_sK39_A_15,type,
sK39_A_15: $i > $i ).
thf(tp_sK3_X,type,
sK3_X: $i > $i ).
thf(tp_sK40_SY352,type,
sK40_SY352: $i > $i ).
thf(tp_sK41_SY354,type,
sK41_SY354: $i > $i ).
thf(tp_sK42_A_15,type,
sK42_A_15: $i > $i ).
thf(tp_sK43_SY355,type,
sK43_SY355: $i > $i ).
thf(tp_sK44_X1,type,
sK44_X1: $i > $i ).
thf(tp_sK45_A_15,type,
sK45_A_15: $i > $i ).
thf(tp_sK46_SY356,type,
sK46_SY356: $i > $i ).
thf(tp_sK47_X1,type,
sK47_X1: $i > $i ).
thf(tp_sK48_A_15,type,
sK48_A_15: $i > $i ).
thf(tp_sK49_SY357,type,
sK49_SY357: $i > $i ).
thf(tp_sK4_SY331,type,
sK4_SY331: $i > $i ).
thf(tp_sK50_X1,type,
sK50_X1: $i > $i ).
thf(tp_sK51_A_15,type,
sK51_A_15: $i > $i ).
thf(tp_sK52_SY358,type,
sK52_SY358: $i > $i ).
thf(tp_sK53_SY361,type,
sK53_SY361: $i > $i ).
thf(tp_sK54_SY363,type,
sK54_SY363: $i > $i ).
thf(tp_sK55_A_15,type,
sK55_A_15: $i > $i > $i ).
thf(tp_sK56_SY364,type,
sK56_SY364: $i > $i > $i ).
thf(tp_sK57_SY367,type,
sK57_SY367: $i > $i > $i ).
thf(tp_sK58_SY369,type,
sK58_SY369: $i > $i > $i ).
thf(tp_sK5_X,type,
sK5_X: $i > $i ).
thf(tp_sK6_SY332,type,
sK6_SY332: $i > $i ).
thf(tp_sK7_X,type,
sK7_X: $i > $i ).
thf(tp_sK8_SY333,type,
sK8_SY333: $i > $i ).
thf(tp_sK9_X1,type,
sK9_X1: $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(27,axiom,
! [P: $i,Q: $i] :
( ( hAPP_l207779698on_val @ ( cOMBK_1097134891t_char @ P ) @ Q )
= P ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis) ).
thf(36,axiom,
! [X_1: $i,X: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ ( cOMBK_1097134891t_char @ none_val ) @ X_1 @ none_val ) @ X )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_162_empty__upd__none) ).
thf(39,axiom,
! [T: $i,K: $i,X_1: $i] :
~ ! [X: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) ) @ X )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_map__upd__nonempty) ).
thf(44,axiom,
! [Ta: $i,Va: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
= ( some_val @ Va ) )
=> ( ~ ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ Eb ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_154_red__reds_OBlockRedSome) ).
thf(46,axiom,
! [A_1: $i,Exp_1: $i,A: $i,Ty: $i,Exp: $i] :
( ( lAss_list_char @ A_1 @ Exp_1 )
!= ( block_list_char @ A @ Ty @ Exp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_152_exp_Osimps_I142_J) ).
thf(47,axiom,
! [Exp1: $i,Exp2: $i,A_2: $i,Ty_1: $i,Exp_2: $i] :
( ( seq_list_char @ Exp1 @ Exp2 )
!= ( block_list_char @ A_2 @ Ty_1 @ Exp_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_151_exp_Osimps_I197_J) ).
thf(48,axiom,
! [A_3: $i,Exp_3: $i,Exp1_1: $i,Exp2_1: $i] :
( ( lAss_list_char @ A_3 @ Exp_3 )
!= ( seq_list_char @ Exp1_1 @ Exp2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_150_exp_Osimps_I144_J) ).
thf(49,axiom,
! [Exp1_2: $i,Exp2_2: $i,A_4: $i,Exp_4: $i] :
( ( seq_list_char @ Exp1_2 @ Exp2_2 )
!= ( lAss_list_char @ A_4 @ Exp_4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_149_exp_Osimps_I145_J) ).
thf(50,axiom,
! [A_5: $i,Ty_2: $i,Exp_5: $i,Val: $i] :
( ( block_list_char @ A_5 @ Ty_2 @ Exp_5 )
!= ( val_list_char @ Val ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_148_exp_Osimps_I83_J) ).
thf(51,axiom,
! [Val_1: $i,A_6: $i,Ty_3: $i,Exp_6: $i] :
( ( val_list_char @ Val_1 )
!= ( block_list_char @ A_6 @ Ty_3 @ Exp_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_147_exp_Osimps_I82_J) ).
thf(52,axiom,
! [A_7: $i,Exp_7: $i,Val_2: $i] :
( ( lAss_list_char @ A_7 @ Exp_7 )
!= ( val_list_char @ Val_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_146_exp_Osimps_I75_J) ).
thf(53,axiom,
! [Exp1_3: $i,Exp2_3: $i,Val_3: $i] :
( ( seq_list_char @ Exp1_3 @ Exp2_3 )
!= ( val_list_char @ Val_3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_145_exp_Osimps_I85_J) ).
thf(54,axiom,
! [Val_4: $i,A_8: $i,Exp_8: $i] :
( ( val_list_char @ Val_4 )
!= ( lAss_list_char @ A_8 @ Exp_8 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_144_exp_Osimps_I74_J) ).
thf(55,axiom,
! [Val_5: $i,Exp1_4: $i,Exp2_4: $i] :
( ( val_list_char @ Val_5 )
!= ( seq_list_char @ Exp1_4 @ Exp2_4 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_143_exp_Osimps_I84_J) ).
thf(56,axiom,
! [A_10: $i,Ty_5: $i,Exp_10: $i,A_9: $i,Ty_4: $i,Exp_9: $i] :
( ( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
<=> ( ( A_10 = A_9 )
& ( Ty_5 = Ty_4 )
& ( Exp_10 = Exp_9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_exp_Osimps_I10_J) ).
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(58,axiom,
! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member840932460on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P1708370145l_bool @ A_11 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_140_mem__def) ).
thf(59,axiom,
! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member763590124on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P159683425l_bool @ A_11 @ X_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_139_mem__def) ).
thf(60,axiom,
! [A_10: $i,Exp_10: $i,A_9: $i,Exp_9: $i] :
( ( ( lAss_list_char @ A_10 @ Exp_10 )
= ( lAss_list_char @ A_9 @ Exp_9 ) )
<=> ( ( A_10 = A_9 )
& ( Exp_10 = Exp_9 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_exp_Osimps_I6_J) ).
thf(61,axiom,
! [Exp1_6: $i,Exp2_6: $i,Exp1_5: $i,Exp2_5: $i] :
( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
= ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
<=> ( ( Exp1_6 = Exp1_5 )
& ( Exp2_6 = Exp2_5 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_exp_Osimps_I11_J) ).
thf(62,axiom,
! [Val_7: $i,Val_6: $i] :
( ( ( val_list_char @ Val_7 )
= ( val_list_char @ Val_6 ) )
<=> ( Val_7 = Val_6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_exp_Osimps_I3_J) ).
thf(63,axiom,
! [A_12: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
( ( block_list_char @ A_12 @ Ty_6 @ Exp_11 )
!= ( seq_list_char @ Exp1_7 @ Exp2_7 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_exp_Osimps_I196_J) ).
thf(64,axiom,
! [A_14: $i,Ty_7: $i,Exp_13: $i,A_13: $i,Exp_12: $i] :
( ( block_list_char @ A_14 @ Ty_7 @ Exp_13 )
!= ( lAss_list_char @ A_13 @ Exp_12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_exp_Osimps_I143_J) ).
thf(71,axiom,
! [Va_1: $i,Va: $i,Hb: $i,Lb: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( red @ Pa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_red__reds_ORedLAss) ).
thf(84,axiom,
! [Va_1: $i,Ta: $i,U: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( val_list_char @ U ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S ) ) @ ( red @ Pa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_red__reds_ORedBlock) ).
thf(85,axiom,
! [Va: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ Va ) @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S ) ) @ ( red @ Pa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_113_red__reds_ORedSeq) ).
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(88,axiom,
! [E_2: $i,T_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i,T_1: $i] :
( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1 ) )
=> ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2 ) )
=> ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_110_WTrtSeq) ).
thf(102,axiom,
! [Va_1: $i,Ta: $i,Va: $i,U: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( val_list_char @ U ) ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S ) ) @ ( red @ Pa ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_96_red__reds_ORedInitBlock) ).
thf(103,axiom,
! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
= ( some_val @ V_a ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_95_red__reds_OInitBlockRed) ).
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(187,axiom,
! [Ta: $i,Ea: $i] :
( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
=> ( ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
=> ? [T_5: $i] :
( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ T_5 ) )
& ( hBOOL @ ( widen_2090681816t_char @ p @ T_5 @ Ta ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_InitBlockRed_I2_J) ).
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(194,axiom,
hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_assms) ).
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(198,axiom,
( ( hAPP_l207779698on_val @ l_a @ v_1 )
= ( some_val @ v_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_InitBlockRed_I3_J) ).
thf(199,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member763590124on_val @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_) ).
thf(200,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member840932460on_val @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J) ).
thf(201,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O) ).
thf(202,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It) ).
thf(203,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M) ).
thf(204,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O) ).
thf(205,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_001) ).
thf(206,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption) ).
thf(207,axiom,
! [B_1_1: $i,B_2_1: $i] :
( ( is_bool @ B_2_1 )
=> ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool) ).
thf(208,axiom,
! [B_1_1: $i,B_2_1: $i,B_3: $i,B_4: $i,B_5: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3 @ B_4 @ B_5 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_WellTypeRT_OWTrt) ).
thf(209,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( wf_pro755087577t_char @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri) ).
thf(210,axiom,
! [B_1_1: $i,B_2_1: $i,B_3: $i] : ( is_bool @ ( widen_2090681816t_char @ B_1_1 @ B_2_1 @ B_3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__) ).
thf(211,axiom,
! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_SmallStep_Oassigned) ).
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,
( ( ! [P: $i,Q: $i] :
( ( hAPP_l207779698on_val @ ( cOMBK_1097134891t_char @ P ) @ Q )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(217,plain,
( ( ! [X_1: $i,X: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ ( cOMBK_1097134891t_char @ none_val ) @ X_1 @ none_val ) @ X )
= none_val ) )
= $true ),
inference(unfold_def,[status(thm)],[36]) ).
thf(218,plain,
( ( ! [Ta: $i,Va: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
= ( some_val @ Va ) )
=> ( ~ ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ Eb ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[44]) ).
thf(219,plain,
( ( ! [A_1: $i,Exp_1: $i,A: $i,Ty: $i,Exp: $i] :
( ( lAss_list_char @ A_1 @ Exp_1 )
!= ( block_list_char @ A @ Ty @ Exp ) ) )
= $true ),
inference(unfold_def,[status(thm)],[46]) ).
thf(220,plain,
( ( ! [Exp1: $i,Exp2: $i,A_2: $i,Ty_1: $i,Exp_2: $i] :
( ( seq_list_char @ Exp1 @ Exp2 )
!= ( block_list_char @ A_2 @ Ty_1 @ Exp_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[47]) ).
thf(221,plain,
( ( ! [A_3: $i,Exp_3: $i,Exp1_1: $i,Exp2_1: $i] :
( ( lAss_list_char @ A_3 @ Exp_3 )
!= ( seq_list_char @ Exp1_1 @ Exp2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[48]) ).
thf(222,plain,
( ( ! [Exp1_2: $i,Exp2_2: $i,A_4: $i,Exp_4: $i] :
( ( seq_list_char @ Exp1_2 @ Exp2_2 )
!= ( lAss_list_char @ A_4 @ Exp_4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[49]) ).
thf(223,plain,
( ( ! [A_5: $i,Ty_2: $i,Exp_5: $i,Val: $i] :
( ( block_list_char @ A_5 @ Ty_2 @ Exp_5 )
!= ( val_list_char @ Val ) ) )
= $true ),
inference(unfold_def,[status(thm)],[50]) ).
thf(224,plain,
( ( ! [Val_1: $i,A_6: $i,Ty_3: $i,Exp_6: $i] :
( ( val_list_char @ Val_1 )
!= ( block_list_char @ A_6 @ Ty_3 @ Exp_6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[51]) ).
thf(225,plain,
( ( ! [A_7: $i,Exp_7: $i,Val_2: $i] :
( ( lAss_list_char @ A_7 @ Exp_7 )
!= ( val_list_char @ Val_2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[52]) ).
thf(226,plain,
( ( ! [Exp1_3: $i,Exp2_3: $i,Val_3: $i] :
( ( seq_list_char @ Exp1_3 @ Exp2_3 )
!= ( val_list_char @ Val_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[53]) ).
thf(227,plain,
( ( ! [Val_4: $i,A_8: $i,Exp_8: $i] :
( ( val_list_char @ Val_4 )
!= ( lAss_list_char @ A_8 @ Exp_8 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[54]) ).
thf(228,plain,
( ( ! [Val_5: $i,Exp1_4: $i,Exp2_4: $i] :
( ( val_list_char @ Val_5 )
!= ( seq_list_char @ Exp1_4 @ Exp2_4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[55]) ).
thf(229,plain,
( ( ! [A_10: $i,Ty_5: $i,Exp_10: $i,A_9: $i,Ty_4: $i,Exp_9: $i] :
( ( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
<=> ( ( A_10 = A_9 )
& ( Ty_5 = Ty_4 )
& ( Exp_10 = Exp_9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[56]) ).
thf(230,plain,
( ( ! [A_10: $i,Exp_10: $i,A_9: $i,Exp_9: $i] :
( ( ( lAss_list_char @ A_10 @ Exp_10 )
= ( lAss_list_char @ A_9 @ Exp_9 ) )
<=> ( ( A_10 = A_9 )
& ( Exp_10 = Exp_9 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[60]) ).
thf(231,plain,
( ( ! [Exp1_6: $i,Exp2_6: $i,Exp1_5: $i,Exp2_5: $i] :
( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
= ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
<=> ( ( Exp1_6 = Exp1_5 )
& ( Exp2_6 = Exp2_5 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[61]) ).
thf(232,plain,
( ( ! [Val_7: $i,Val_6: $i] :
( ( ( val_list_char @ Val_7 )
= ( val_list_char @ Val_6 ) )
<=> ( Val_7 = Val_6 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(233,plain,
( ( ! [A_12: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
( ( block_list_char @ A_12 @ Ty_6 @ Exp_11 )
!= ( seq_list_char @ Exp1_7 @ Exp2_7 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(234,plain,
( ( ! [A_14: $i,Ty_7: $i,Exp_13: $i,A_13: $i,Exp_12: $i] :
( ( block_list_char @ A_14 @ Ty_7 @ Exp_13 )
!= ( lAss_list_char @ A_13 @ Exp_12 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(235,plain,
( ( ! [Va_1: $i,Va: $i,Hb: $i,Lb: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[71]) ).
thf(236,plain,
( ( ! [Va_1: $i,Ta: $i,Va: $i,U: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( val_list_char @ U ) ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(237,plain,
( ( ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
=> ( ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
= ( some_val @ V_a ) )
=> ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[103]) ).
thf(238,plain,
( ( ! [Ta: $i,Ea: $i] :
( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
=> ( ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
=> ? [T_5: $i] :
( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ T_5 ) )
& ( hBOOL @ ( widen_2090681816t_char @ p @ T_5 @ Ta ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[187]) ).
thf(239,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member763590124on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[199]) ).
thf(240,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member840932460on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[200]) ).
thf(241,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(242,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(243,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(244,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(245,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[205]) ).
thf(246,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(247,plain,
( ( ! [B_1_1: $i,B_2_1: $i] :
( ( is_bool @ B_2_1 )
=> ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[207]) ).
thf(248,plain,
( ( ! [B_1_1: $i,B_2_1: $i,B_3: $i,B_4: $i,B_5: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3 @ B_4 @ B_5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(249,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( wf_pro755087577t_char @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(250,plain,
( ( ! [B_1_1: $i,B_2_1: $i,B_3: $i] : ( is_bool @ ( widen_2090681816t_char @ B_1_1 @ B_2_1 @ B_3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(251,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(252,plain,
( ( ! [T: $i,K: $i,X_1: $i] :
~ ! [X: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) ) @ X )
= none_val ) )
= $true ),
inference(unfold_def,[status(thm)],[39]) ).
thf(253,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(254,plain,
( ( ! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member840932460on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P1708370145l_bool @ A_11 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[58]) ).
thf(255,plain,
( ( ! [X_1: $i,A_11: $i] :
( ( hBOOL @ ( member763590124on_val @ X_1 @ A_11 ) )
<=> ( hBOOL @ ( hAPP_P159683425l_bool @ A_11 @ X_1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[59]) ).
thf(256,plain,
( ( ! [Va_1: $i,Ta: $i,U: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( val_list_char @ U ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(257,plain,
( ( ! [Va: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ Va ) @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(258,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(259,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(260,plain,
( ( ! [E_2: $i,T_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i,T_1: $i] :
( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1 ) )
=> ( ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2 ) )
=> ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[88]) ).
thf(261,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(262,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(263,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(264,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(265,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(266,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(267,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(268,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(269,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(270,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(271,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(272,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(273,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(274,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(275,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(276,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(277,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(278,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(279,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(280,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(281,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(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 )
= 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(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(unfold_def,[status(thm)],[168]) ).
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 )
= ( hAPP_l207779698on_val @ F @ Z ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(285,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(286,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(287,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(288,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(289,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(290,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(291,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(292,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(293,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(294,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(295,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(296,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(297,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(298,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(299,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(300,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(301,plain,
( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(302,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(303,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(304,plain,
( ( ( hAPP_l207779698on_val @ l_a @ v_1 )
= ( some_val @ v_2 ) )
= $true ),
inference(unfold_def,[status(thm)],[198]) ).
thf(305,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(306,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(307,plain,
( ( ! [Ta: $i,Va: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
| ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
!= ( some_val @ Va ) )
| ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ Eb ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[218]) ).
thf(308,plain,
( ( ! [A_1: $i,Exp_1: $i,A: $i,Ty: $i,Exp: $i] :
( ( lAss_list_char @ A_1 @ Exp_1 )
!= ( block_list_char @ A @ Ty @ Exp ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[219]) ).
thf(309,plain,
( ( ! [Exp1: $i,Exp2: $i,A_2: $i,Ty_1: $i,Exp_2: $i] :
( ( seq_list_char @ Exp1 @ Exp2 )
!= ( block_list_char @ A_2 @ Ty_1 @ Exp_2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[220]) ).
thf(310,plain,
( ( ! [A_3: $i,Exp_3: $i,Exp1_1: $i,Exp2_1: $i] :
( ( lAss_list_char @ A_3 @ Exp_3 )
!= ( seq_list_char @ Exp1_1 @ Exp2_1 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[221]) ).
thf(311,plain,
( ( ! [Exp1_2: $i,Exp2_2: $i,A_4: $i,Exp_4: $i] :
( ( seq_list_char @ Exp1_2 @ Exp2_2 )
!= ( lAss_list_char @ A_4 @ Exp_4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[222]) ).
thf(312,plain,
( ( ! [A_5: $i,Ty_2: $i,Exp_5: $i,Val: $i] :
( ( block_list_char @ A_5 @ Ty_2 @ Exp_5 )
!= ( val_list_char @ Val ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[223]) ).
thf(313,plain,
( ( ! [Val_1: $i,A_6: $i,Ty_3: $i,Exp_6: $i] :
( ( val_list_char @ Val_1 )
!= ( block_list_char @ A_6 @ Ty_3 @ Exp_6 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[224]) ).
thf(314,plain,
( ( ! [A_7: $i,Exp_7: $i,Val_2: $i] :
( ( lAss_list_char @ A_7 @ Exp_7 )
!= ( val_list_char @ Val_2 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[225]) ).
thf(315,plain,
( ( ! [Exp1_3: $i,Exp2_3: $i,Val_3: $i] :
( ( seq_list_char @ Exp1_3 @ Exp2_3 )
!= ( val_list_char @ Val_3 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[226]) ).
thf(316,plain,
( ( ! [Val_4: $i,A_8: $i,Exp_8: $i] :
( ( val_list_char @ Val_4 )
!= ( lAss_list_char @ A_8 @ Exp_8 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[227]) ).
thf(317,plain,
( ( ! [Val_5: $i,Exp1_4: $i,Exp2_4: $i] :
( ( val_list_char @ Val_5 )
!= ( seq_list_char @ Exp1_4 @ Exp2_4 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[228]) ).
thf(318,plain,
( ( ! [A_10: $i,Ty_5: $i,Exp_10: $i,A_9: $i] :
( ! [Ty_4: $i,Exp_9: $i] :
( ( A_10 != A_9 )
| ( Ty_5 != Ty_4 )
| ( Exp_10 != Exp_9 )
| ( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) ) )
& ( ! [Ty_4: $i,Exp_9: $i] :
( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
!= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
| ( A_10 = A_9 ) )
& ! [Ty_4: $i] :
( ! [Exp_9: $i] :
( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
!= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
| ( Ty_5 = Ty_4 ) )
& ! [Ty_4: $i,Exp_9: $i] :
( ( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
!= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
| ( Exp_10 = Exp_9 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[229]) ).
thf(319,plain,
( ( ! [A_10: $i,Exp_10: $i] :
( ! [A_9: $i,Exp_9: $i] :
( ( A_10 != A_9 )
| ( Exp_10 != Exp_9 )
| ( ( lAss_list_char @ A_10 @ Exp_10 )
= ( lAss_list_char @ A_9 @ Exp_9 ) ) )
& ! [A_9: $i] :
( ! [Exp_9: $i] :
( ( lAss_list_char @ A_10 @ Exp_10 )
!= ( lAss_list_char @ A_9 @ Exp_9 ) )
| ( A_10 = A_9 ) )
& ! [A_9: $i,Exp_9: $i] :
( ( ( lAss_list_char @ A_10 @ Exp_10 )
!= ( lAss_list_char @ A_9 @ Exp_9 ) )
| ( Exp_10 = Exp_9 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[230]) ).
thf(320,plain,
( ( ! [Exp1_6: $i,Exp2_6: $i] :
( ! [Exp1_5: $i,Exp2_5: $i] :
( ( Exp1_6 != Exp1_5 )
| ( Exp2_6 != Exp2_5 )
| ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
= ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
& ! [Exp1_5: $i] :
( ! [Exp2_5: $i] :
( ( seq_list_char @ Exp1_6 @ Exp2_6 )
!= ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
| ( Exp1_6 = Exp1_5 ) )
& ! [Exp1_5: $i,Exp2_5: $i] :
( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
!= ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
| ( Exp2_6 = Exp2_5 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[231]) ).
thf(321,plain,
( ( ! [Val_7: $i,Val_6: $i] :
( ( ( val_list_char @ Val_7 )
!= ( val_list_char @ Val_6 ) )
| ( Val_7 = Val_6 ) )
& ! [Val_7: $i,Val_6: $i] :
( ( Val_7 != Val_6 )
| ( ( val_list_char @ Val_7 )
= ( val_list_char @ Val_6 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[232]) ).
thf(322,plain,
( ( ! [A_12: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
( ( block_list_char @ A_12 @ Ty_6 @ Exp_11 )
!= ( seq_list_char @ Exp1_7 @ Exp2_7 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[233]) ).
thf(323,plain,
( ( ! [A_14: $i,Ty_7: $i,Exp_13: $i,A_13: $i,Exp_12: $i] :
( ( block_list_char @ A_14 @ Ty_7 @ Exp_13 )
!= ( lAss_list_char @ A_13 @ Exp_12 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[234]) ).
thf(324,plain,
( ( ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
| ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
!= ( some_val @ V_a ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[237]) ).
thf(325,plain,
( ( ! [Ta: $i,Ea: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
| ~ ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
| ( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ ( sK1_T_5 @ Ea @ Ta ) ) )
& ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ Ea @ Ta ) @ Ta ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[238]) ).
thf(326,plain,
( ( ! [B_1_1: $i,B_2_1: $i] :
( ~ ( is_bool @ B_2_1 )
| ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[247]) ).
thf(327,plain,
( ( ! [T: $i,K: $i,X_1: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) ) @ ( sK2_X @ X_1 @ K @ T ) )
!= none_val ) )
= $true ),
inference(extcnf_combined,[status(esa)],[252]) ).
thf(328,plain,
( ( ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) ) )
& ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) )
| ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[253]) ).
thf(329,plain,
( ( ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ X_1 @ A_11 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ A_11 @ X_1 ) ) )
& ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ A_11 @ X_1 ) )
| ( hBOOL @ ( member840932460on_val @ X_1 @ A_11 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[254]) ).
thf(330,plain,
( ( ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ X_1 @ A_11 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ A_11 @ X_1 ) ) )
& ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ A_11 @ X_1 ) )
| ( hBOOL @ ( member763590124on_val @ X_1 @ A_11 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[255]) ).
thf(331,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(extcnf_combined,[status(esa)],[258]) ).
thf(332,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(extcnf_combined,[status(esa)],[259]) ).
thf(333,plain,
( ( ! [E_2: $i,T_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i] :
( ! [T_1: $i] :
~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1 ) )
| ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2 ) )
| ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[260]) ).
thf(334,plain,
( ( ! [P_1: $i] :
( P_1
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK3_X @ P_1 ) ) @ ( sK4_SY331 @ P_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[261]) ).
thf(335,plain,
( ( ! [P_1: $i] :
( P_1
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK5_X @ P_1 ) ) @ ( sK6_SY332 @ P_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[262]) ).
thf(336,plain,
( ( ! [P_1: $i] :
( P_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_X @ P_1 ) ) @ ( sK8_SY333 @ P_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[263]) ).
thf(337,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ Pa ) ) @ ( sK11_SY334 @ Pa ) ) ) ) )
& ! [Pa: $i] :
( ! [A_15: $i,B: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK9_X1 @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[264]) ).
thf(338,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ Pa ) ) @ ( sK14_SY335 @ Pa ) ) ) ) )
& ! [Pa: $i] :
( ! [A_15: $i,B: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK12_X1 @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[265]) ).
thf(339,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ Pa ) ) @ ( sK17_SY336 @ Pa ) ) ) ) )
& ! [Pa: $i] :
( ! [A_15: $i,B: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK15_X1 @ Pa ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[266]) ).
thf(340,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(extcnf_combined,[status(esa)],[267]) ).
thf(341,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK18_A_15 @ Y_1 ) ) @ ( sK19_SY337 @ Y_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[268]) ).
thf(342,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_15 @ Y_1 ) ) @ ( sK21_SY338 @ Y_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[269]) ).
thf(343,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_A_15 @ Y_1 ) ) @ ( sK23_SY339 @ Y_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[270]) ).
thf(344,plain,
( ( ! [S_3: $i,R_1: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ R_1 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ S_3 ) ) )
& ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ R_1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ S_3 ) ) ) )
| ( R_1 = S_3 ) )
& ! [S_3: $i,R_1: $i] :
( ( R_1 != S_3 )
| ( ! [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 ) ) )
& ! [X: $i,Xa: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ S_3 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ R_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[271]) ).
thf(345,plain,
( ( ! [S_3: $i,R_1: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ R_1 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ S_3 ) ) )
& ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ R_1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ S_3 ) ) ) )
| ( R_1 = S_3 ) )
& ! [S_3: $i,R_1: $i] :
( ( R_1 != S_3 )
| ( ! [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 ) ) )
& ! [X: $i,Xa: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ S_3 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ R_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[272]) ).
thf(346,plain,
( ( ! [S_3: $i,R_1: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ R_1 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ S_3 ) ) )
& ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ R_1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ S_3 ) ) ) )
| ( R_1 = S_3 ) )
& ! [S_3: $i,R_1: $i] :
( ( R_1 != S_3 )
| ( ! [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 ) ) )
& ! [X: $i,Xa: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ S_3 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ R_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[273]) ).
thf(347,plain,
( ( ! [X_1: $i,Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_15 @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY343 @ Pa @ X_1 ) ) @ ( sK32_SY345 @ Pa @ X_1 ) ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[274]) ).
thf(348,plain,
( ( ! [X_1: $i,Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK33_A_15 @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_SY346 @ Pa @ X_1 ) ) @ ( sK35_SY348 @ Pa @ X_1 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[275]) ).
thf(349,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK36_A_15 @ Y_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK37_SY349 @ Y_1 ) ) @ ( sK38_SY351 @ Y_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[276]) ).
thf(350,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK39_A_15 @ Y_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY352 @ Y_1 ) ) @ ( sK41_SY354 @ Y_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[277]) ).
thf(351,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 ) )
& ! [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(extcnf_combined,[status(esa)],[279]) ).
thf(352,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: $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(extcnf_combined,[status(esa)],[282]) ).
thf(353,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(extcnf_combined,[status(esa)],[283]) ).
thf(354,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(extcnf_combined,[status(esa)],[284]) ).
thf(355,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(extcnf_combined,[status(esa)],[285]) ).
thf(356,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 ) )
& ! [A_10: $i,X: $i] :
( ( X = A_10 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ F @ A_10 @ B_1 ) @ X )
= ( hAPP_l207779698on_val @ F @ X ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[286]) ).
thf(357,plain,
( ( ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK44_X1 @ Pa ) ) )
| ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) )
& ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ Pa ) ) @ ( sK43_SY355 @ Pa ) ) ) )
| ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[287]) ).
thf(358,plain,
( ( ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK47_X1 @ Pa ) ) )
| ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) )
& ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ Pa ) ) @ ( sK46_SY356 @ Pa ) ) ) )
| ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[288]) ).
thf(359,plain,
( ( ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK50_X1 @ Pa ) ) )
| ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) )
& ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ Pa ) ) @ ( sK49_SY357 @ Pa ) ) ) )
| ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[289]) ).
thf(360,plain,
( ( ! [A_10: $i,B_1: $i] :
( ! [A_9: $i,B_2: $i] :
( ( A_10 != A_9 )
| ( B_1 != B_2 )
| ( ( 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_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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[290]) ).
thf(361,plain,
( ( ! [A_10: $i,B_1: $i] :
( ! [A_9: $i,B_2: $i] :
( ( A_10 != A_9 )
| ( B_1 != B_2 )
| ( ( 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_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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[291]) ).
thf(362,plain,
( ( ! [A_10: $i,B_1: $i] :
( ! [A_9: $i,B_2: $i] :
( ( A_10 != A_9 )
| ( B_1 != B_2 )
| ( ( 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_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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[292]) ).
thf(363,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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[293]) ).
thf(364,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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[294]) ).
thf(365,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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[295]) ).
thf(366,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK51_A_15 @ Y_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK52_SY358 @ Y_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK53_SY361 @ Y_1 ) ) @ ( sK54_SY363 @ Y_1 ) ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[296]) ).
thf(367,plain,
( ( ! [X_1: $i,Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A_15 @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY364 @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY367 @ Pa @ X_1 ) ) @ ( sK58_SY369 @ Pa @ X_1 ) ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[297]) ).
thf(368,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(extcnf_combined,[status(esa)],[298]) ).
thf(369,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(extcnf_combined,[status(esa)],[299]) ).
thf(370,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 )
| ( X_1 != A_10 ) )
& ! [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 )
| ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) )
& ! [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 ) )
| ( B_1 = Y_1 )
| ( X_1 != A_10 ) )
& ! [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 ) )
| ( B_1 = Y_1 )
| ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) )
& ! [X_1: $i,Y_1: $i] :
( ( X_1 != A_10 )
| ( B_1 != Y_1 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) ) )
& ! [X_1: $i,Y_1: $i] :
( ( X_1 = A_10 )
| ( ( hAPP_l207779698on_val @ M @ X_1 )
!= ( some_val @ Y_1 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[300]) ).
thf(371,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member773094996on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(372,plain,
( ( ( hAPP_l207779698on_val @ l_a @ v_1 )
= ( some_val @ v_2 ) )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(373,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)],[303]) ).
thf(374,plain,
( ( ! [F: $i,X_1: $i] :
( ( fun_up1149430426on_val @ F @ X_1 @ ( hAPP_l207779698on_val @ F @ X_1 ) )
= F ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(375,plain,
( ( hBOOL @ ( wf_pro755087577t_char @ wf_J_mdecl @ p ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(376,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 )
| ( X_1 != A_10 ) )
& ! [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 )
| ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) )
& ! [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 ) )
| ( B_1 = Y_1 )
| ( X_1 != A_10 ) )
& ! [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 ) )
| ( B_1 = Y_1 )
| ( ( hAPP_l207779698on_val @ M @ X_1 )
= ( some_val @ Y_1 ) ) )
& ! [X_1: $i,Y_1: $i] :
( ( X_1 != A_10 )
| ( B_1 != Y_1 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) ) )
& ! [X_1: $i,Y_1: $i] :
( ( X_1 = A_10 )
| ( ( hAPP_l207779698on_val @ M @ X_1 )
!= ( some_val @ Y_1 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ M @ A_10 @ ( some_val @ B_1 ) ) @ X_1 )
= ( some_val @ Y_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[370]) ).
thf(377,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)],[369]) ).
thf(378,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)],[368]) ).
thf(379,plain,
( ( ! [X_1: $i,Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A_15 @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY364 @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY367 @ Pa @ X_1 ) ) @ ( sK58_SY369 @ Pa @ X_1 ) ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[367]) ).
thf(380,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK51_A_15 @ Y_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK52_SY358 @ Y_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK53_SY361 @ Y_1 ) ) @ ( sK54_SY363 @ Y_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[366]) ).
thf(381,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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[365]) ).
thf(382,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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[364]) ).
thf(383,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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[363]) ).
thf(384,plain,
( ( ! [A_10: $i,B_1: $i] :
( ! [A_9: $i,B_2: $i] :
( ( A_10 != A_9 )
| ( B_1 != B_2 )
| ( ( 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_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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[362]) ).
thf(385,plain,
( ( ! [A_10: $i,B_1: $i] :
( ! [A_9: $i,B_2: $i] :
( ( A_10 != A_9 )
| ( B_1 != B_2 )
| ( ( 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_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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[361]) ).
thf(386,plain,
( ( ! [A_10: $i,B_1: $i] :
( ! [A_9: $i,B_2: $i] :
( ( A_10 != A_9 )
| ( B_1 != B_2 )
| ( ( 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_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 ) )
& ! [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 ) )
| ( B_1 = B_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[360]) ).
thf(387,plain,
( ( ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK50_X1 @ Pa ) ) )
| ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) ) )
& ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ Pa ) ) @ ( sK49_SY357 @ Pa ) ) ) )
| ! [X1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[359]) ).
thf(388,plain,
( ( ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK47_X1 @ Pa ) ) )
| ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) ) )
& ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ Pa ) ) @ ( sK46_SY356 @ Pa ) ) ) )
| ! [X1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[358]) ).
thf(389,plain,
( ( ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK44_X1 @ Pa ) ) )
| ! [A_15: $i,B: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) ) )
& ! [Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ Pa ) ) @ ( sK43_SY355 @ Pa ) ) ) )
| ! [X1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[357]) ).
thf(390,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 ) )
& ! [A_10: $i,X: $i] :
( ( 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)],[356]) ).
thf(391,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)],[355]) ).
thf(392,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)],[354]) ).
thf(393,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)],[353]) ).
thf(394,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: $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)],[352]) ).
thf(395,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)],[281]) ).
thf(396,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)],[280]) ).
thf(397,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 ) )
& ! [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)],[351]) ).
thf(398,plain,
( ( ! [P_3: $i,T_4: $i] : ( hBOOL @ ( widen_2090681816t_char @ P_3 @ T_4 @ T_4 ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(399,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK39_A_15 @ Y_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY352 @ Y_1 ) ) @ ( sK41_SY354 @ Y_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[350]) ).
thf(400,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK36_A_15 @ Y_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK37_SY349 @ Y_1 ) ) @ ( sK38_SY351 @ Y_1 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[349]) ).
thf(401,plain,
( ( ! [X_1: $i,Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK33_A_15 @ Pa @ X_1 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_SY346 @ Pa @ X_1 ) ) @ ( sK35_SY348 @ Pa @ X_1 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[348]) ).
thf(402,plain,
( ( ! [X_1: $i,Pa: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_15 @ Pa @ X_1 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY343 @ Pa @ X_1 ) ) @ ( sK32_SY345 @ Pa @ X_1 ) ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[347]) ).
thf(403,plain,
( ( ! [S_3: $i,R_1: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ R_1 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ S_3 ) ) )
& ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ R_1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ R_1 @ S_3 ) ) @ ( sK29_SY342 @ R_1 @ S_3 ) ) @ S_3 ) ) ) )
| ( R_1 = S_3 ) )
& ! [S_3: $i,R_1: $i] :
( ( R_1 != S_3 )
| ( ! [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 ) ) )
& ! [X: $i,Xa: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ S_3 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ X ) @ Xa ) @ R_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[346]) ).
thf(404,plain,
( ( ! [S_3: $i,R_1: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ R_1 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ S_3 ) ) )
& ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ R_1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ R_1 @ S_3 ) ) @ ( sK27_SY341 @ R_1 @ S_3 ) ) @ S_3 ) ) ) )
| ( R_1 = S_3 ) )
& ! [S_3: $i,R_1: $i] :
( ( R_1 != S_3 )
| ( ! [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 ) ) )
& ! [X: $i,Xa: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ S_3 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ X ) @ Xa ) @ R_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[345]) ).
thf(405,plain,
( ( ! [S_3: $i,R_1: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ R_1 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ S_3 ) ) )
& ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ R_1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ R_1 @ S_3 ) ) @ ( sK25_SY340 @ R_1 @ S_3 ) ) @ S_3 ) ) ) )
| ( R_1 = S_3 ) )
& ! [S_3: $i,R_1: $i] :
( ( R_1 != S_3 )
| ( ! [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 ) ) )
& ! [X: $i,Xa: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ S_3 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ X ) @ Xa ) @ R_1 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[344]) ).
thf(406,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_A_15 @ Y_1 ) ) @ ( sK23_SY339 @ Y_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[343]) ).
thf(407,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_15 @ Y_1 ) ) @ ( sK21_SY338 @ Y_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[342]) ).
thf(408,plain,
( ( ! [Y_1: $i] :
( Y_1
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK18_A_15 @ Y_1 ) ) @ ( sK19_SY337 @ Y_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[341]) ).
thf(409,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)],[340]) ).
thf(410,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ X1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ Pa ) ) @ ( sK17_SY336 @ Pa ) ) ) ) )
& ! [Pa: $i] :
( ! [A_15: $i,B: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ A_15 ) @ B ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ Pa @ ( sK15_X1 @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[339]) ).
thf(411,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ X1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ Pa ) ) @ ( sK14_SY335 @ Pa ) ) ) ) )
& ! [Pa: $i] :
( ! [A_15: $i,B: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ A_15 ) @ B ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ Pa @ ( sK12_X1 @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[338]) ).
thf(412,plain,
( ( ! [Pa: $i] :
( ! [X1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ X1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ Pa ) ) @ ( sK11_SY334 @ Pa ) ) ) ) )
& ! [Pa: $i] :
( ! [A_15: $i,B: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ A_15 ) @ B ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ Pa @ ( sK9_X1 @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[337]) ).
thf(413,plain,
( ( ! [P_1: $i] :
( P_1
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_X @ P_1 ) ) @ ( sK8_SY333 @ P_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[336]) ).
thf(414,plain,
( ( ! [P_1: $i] :
( P_1
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK5_X @ P_1 ) ) @ ( sK6_SY332 @ P_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[335]) ).
thf(415,plain,
( ( ! [P_1: $i] :
( P_1
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK3_X @ P_1 ) ) @ ( sK4_SY331 @ P_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[334]) ).
thf(416,plain,
( ( ! [E_2: $i,T_2: $i,Pa: $i,Hb: $i,Ea: $i,E_1: $i] :
( ! [T_1: $i] :
~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_1 @ T_1 ) )
| ~ ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ E_2 @ T_2 ) )
| ( hBOOL @ ( wTrt @ Pa @ Hb @ Ea @ ( seq_list_char @ E_1 @ E_2 ) @ T_2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[333]) ).
thf(417,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)],[332]) ).
thf(418,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)],[331]) ).
thf(419,plain,
( ( ! [Va: $i,E_2: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ Va ) @ E_2 ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_2 ) @ S ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(420,plain,
( ( ! [Va_1: $i,Ta: $i,U: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( val_list_char @ U ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(421,plain,
( ( ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ X_1 @ A_11 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ A_11 @ X_1 ) ) )
& ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ A_11 @ X_1 ) )
| ( hBOOL @ ( member763590124on_val @ X_1 @ A_11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[330]) ).
thf(422,plain,
( ( ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ X_1 @ A_11 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ A_11 @ X_1 ) ) )
& ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ A_11 @ X_1 ) )
| ( hBOOL @ ( member840932460on_val @ X_1 @ A_11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[329]) ).
thf(423,plain,
( ( ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) ) )
& ! [X_1: $i,A_11: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ A_11 @ X_1 ) )
| ( hBOOL @ ( member773094996on_val @ X_1 @ A_11 ) ) ) )
= $true ),
inference(copy,[status(thm)],[328]) ).
thf(424,plain,
( ( ! [T: $i,K: $i,X_1: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ T @ K @ ( some_val @ X_1 ) ) @ ( sK2_X @ X_1 @ K @ T ) )
!= none_val ) )
= $true ),
inference(copy,[status(thm)],[327]) ).
thf(425,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( assigned @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(426,plain,
( ( ! [B_1_1: $i,B_2_1: $i,B_3: $i] : ( is_bool @ ( widen_2090681816t_char @ B_1_1 @ B_2_1 @ B_3 ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(427,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( wf_pro755087577t_char @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(428,plain,
( ( ! [B_1_1: $i,B_2_1: $i,B_3: $i,B_4: $i,B_5: $i] : ( is_bool @ ( wTrt @ B_1_1 @ B_2_1 @ B_3 @ B_4 @ B_5 ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(429,plain,
( ( ! [B_1_1: $i,B_2_1: $i] :
( ~ ( is_bool @ B_2_1 )
| ( is_bool @ ( hAPP_bool_bool @ B_1_1 @ B_2_1 ) ) ) )
= $true ),
inference(copy,[status(thm)],[326]) ).
thf(430,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(431,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(432,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(433,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(434,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(435,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(436,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member840932460on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(437,plain,
( ( ! [B_1_1: $i,B_2_1: $i] : ( is_bool @ ( member763590124on_val @ B_1_1 @ B_2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(438,plain,
( ( ! [Ta: $i,Ea: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ Ea ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
| ~ ( hBOOL @ ( wTrt @ p @ ha @ Ea @ ea @ Ta ) )
| ( ( hBOOL @ ( wTrt @ p @ h_a @ Ea @ e_a @ ( sK1_T_5 @ Ea @ Ta ) ) )
& ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ Ea @ Ta ) @ Ta ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[325]) ).
thf(439,plain,
( ( ! [Ta: $i,V_a: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,Va: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
| ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
!= ( some_val @ V_a ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ Eb ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ V_a ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[324]) ).
thf(440,plain,
( ( ! [Va_1: $i,Ta: $i,Va: $i,U: $i,S: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ ( val_list_char @ U ) ) ) ) @ S ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ U ) ) @ S ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(441,plain,
( ( ! [Va_1: $i,Va: $i,Hb: $i,Lb: $i,Pa: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ ( some_val @ Va ) ) ) ) ) @ ( red @ Pa ) ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(442,plain,
( ( ! [A_14: $i,Ty_7: $i,Exp_13: $i,A_13: $i,Exp_12: $i] :
( ( block_list_char @ A_14 @ Ty_7 @ Exp_13 )
!= ( lAss_list_char @ A_13 @ Exp_12 ) ) )
= $true ),
inference(copy,[status(thm)],[323]) ).
thf(443,plain,
( ( ! [A_12: $i,Ty_6: $i,Exp_11: $i,Exp1_7: $i,Exp2_7: $i] :
( ( block_list_char @ A_12 @ Ty_6 @ Exp_11 )
!= ( seq_list_char @ Exp1_7 @ Exp2_7 ) ) )
= $true ),
inference(copy,[status(thm)],[322]) ).
thf(444,plain,
( ( ! [Val_7: $i,Val_6: $i] :
( ( ( val_list_char @ Val_7 )
!= ( val_list_char @ Val_6 ) )
| ( Val_7 = Val_6 ) )
& ! [Val_7: $i,Val_6: $i] :
( ( Val_7 != Val_6 )
| ( ( val_list_char @ Val_7 )
= ( val_list_char @ Val_6 ) ) ) )
= $true ),
inference(copy,[status(thm)],[321]) ).
thf(445,plain,
( ( ! [Exp1_6: $i,Exp2_6: $i] :
( ! [Exp1_5: $i,Exp2_5: $i] :
( ( Exp1_6 != Exp1_5 )
| ( Exp2_6 != Exp2_5 )
| ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
= ( seq_list_char @ Exp1_5 @ Exp2_5 ) ) )
& ! [Exp1_5: $i] :
( ! [Exp2_5: $i] :
( ( seq_list_char @ Exp1_6 @ Exp2_6 )
!= ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
| ( Exp1_6 = Exp1_5 ) )
& ! [Exp1_5: $i,Exp2_5: $i] :
( ( ( seq_list_char @ Exp1_6 @ Exp2_6 )
!= ( seq_list_char @ Exp1_5 @ Exp2_5 ) )
| ( Exp2_6 = Exp2_5 ) ) ) )
= $true ),
inference(copy,[status(thm)],[320]) ).
thf(446,plain,
( ( ! [A_10: $i,Exp_10: $i] :
( ! [A_9: $i,Exp_9: $i] :
( ( A_10 != A_9 )
| ( Exp_10 != Exp_9 )
| ( ( lAss_list_char @ A_10 @ Exp_10 )
= ( lAss_list_char @ A_9 @ Exp_9 ) ) )
& ! [A_9: $i] :
( ! [Exp_9: $i] :
( ( lAss_list_char @ A_10 @ Exp_10 )
!= ( lAss_list_char @ A_9 @ Exp_9 ) )
| ( A_10 = A_9 ) )
& ! [A_9: $i,Exp_9: $i] :
( ( ( lAss_list_char @ A_10 @ Exp_10 )
!= ( lAss_list_char @ A_9 @ Exp_9 ) )
| ( Exp_10 = Exp_9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[319]) ).
thf(447,plain,
( ( ! [A_10: $i,Ty_5: $i,Exp_10: $i,A_9: $i] :
( ! [Ty_4: $i,Exp_9: $i] :
( ( A_10 != A_9 )
| ( Ty_5 != Ty_4 )
| ( Exp_10 != Exp_9 )
| ( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) ) )
& ( ! [Ty_4: $i,Exp_9: $i] :
( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
!= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
| ( A_10 = A_9 ) )
& ! [Ty_4: $i] :
( ! [Exp_9: $i] :
( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
!= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
| ( Ty_5 = Ty_4 ) )
& ! [Ty_4: $i,Exp_9: $i] :
( ( ( block_list_char @ A_10 @ Ty_5 @ Exp_10 )
!= ( block_list_char @ A_9 @ Ty_4 @ Exp_9 ) )
| ( Exp_10 = Exp_9 ) ) ) )
= $true ),
inference(copy,[status(thm)],[318]) ).
thf(448,plain,
( ( ! [Val_5: $i,Exp1_4: $i,Exp2_4: $i] :
( ( val_list_char @ Val_5 )
!= ( seq_list_char @ Exp1_4 @ Exp2_4 ) ) )
= $true ),
inference(copy,[status(thm)],[317]) ).
thf(449,plain,
( ( ! [Val_4: $i,A_8: $i,Exp_8: $i] :
( ( val_list_char @ Val_4 )
!= ( lAss_list_char @ A_8 @ Exp_8 ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(450,plain,
( ( ! [Exp1_3: $i,Exp2_3: $i,Val_3: $i] :
( ( seq_list_char @ Exp1_3 @ Exp2_3 )
!= ( val_list_char @ Val_3 ) ) )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(451,plain,
( ( ! [A_7: $i,Exp_7: $i,Val_2: $i] :
( ( lAss_list_char @ A_7 @ Exp_7 )
!= ( val_list_char @ Val_2 ) ) )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(452,plain,
( ( ! [Val_1: $i,A_6: $i,Ty_3: $i,Exp_6: $i] :
( ( val_list_char @ Val_1 )
!= ( block_list_char @ A_6 @ Ty_3 @ Exp_6 ) ) )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(453,plain,
( ( ! [A_5: $i,Ty_2: $i,Exp_5: $i,Val: $i] :
( ( block_list_char @ A_5 @ Ty_2 @ Exp_5 )
!= ( val_list_char @ Val ) ) )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(454,plain,
( ( ! [Exp1_2: $i,Exp2_2: $i,A_4: $i,Exp_4: $i] :
( ( seq_list_char @ Exp1_2 @ Exp2_2 )
!= ( lAss_list_char @ A_4 @ Exp_4 ) ) )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(455,plain,
( ( ! [A_3: $i,Exp_3: $i,Exp1_1: $i,Exp2_1: $i] :
( ( lAss_list_char @ A_3 @ Exp_3 )
!= ( seq_list_char @ Exp1_1 @ Exp2_1 ) ) )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(456,plain,
( ( ! [Exp1: $i,Exp2: $i,A_2: $i,Ty_1: $i,Exp_2: $i] :
( ( seq_list_char @ Exp1 @ Exp2 )
!= ( block_list_char @ A_2 @ Ty_1 @ Exp_2 ) ) )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(457,plain,
( ( ! [A_1: $i,Exp_1: $i,A: $i,Ty: $i,Exp: $i] :
( ( lAss_list_char @ A_1 @ Exp_1 )
!= ( block_list_char @ A @ Ty @ Exp ) ) )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(458,plain,
( ( ! [Ta: $i,Va: $i,Eb: $i,Hb: $i,Lb: $i,Va_1: $i,E_b: $i,H_b: $i,L_b: $i,Pa: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ Eb ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ ( fun_up1149430426on_val @ Lb @ Va_1 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ E_b ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ L_b ) ) ) @ ( red @ Pa ) ) )
| ( ( hAPP_l207779698on_val @ L_b @ Va_1 )
!= ( some_val @ Va ) )
| ( hBOOL @ ( assigned @ Va_1 @ Eb ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ Eb ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ Hb ) @ Lb ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ Va_1 @ Ta @ ( seq_list_char @ ( lAss_list_char @ Va_1 @ ( val_list_char @ Va ) ) @ E_b ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ H_b ) @ ( fun_up1149430426on_val @ L_b @ Va_1 @ ( hAPP_l207779698on_val @ Lb @ Va_1 ) ) ) ) ) @ ( red @ Pa ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(459,plain,
( ( ! [X_1: $i,X: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ ( cOMBK_1097134891t_char @ none_val ) @ X_1 @ none_val ) @ X )
= none_val ) )
= $true ),
inference(copy,[status(thm)],[217]) ).
thf(460,plain,
( ( ! [P: $i,Q: $i] :
( ( hAPP_l207779698on_val @ ( cOMBK_1097134891t_char @ P ) @ Q )
= P ) )
= $true ),
inference(copy,[status(thm)],[216]) ).
thf(461,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)],[306]) ).
thf(462,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SX1 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
| ~ ( hBOOL @ ( wTrt @ p @ ha @ SX1 @ ea @ SX0 ) )
| ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SX1 @ e_a @ ( sK1_T_5 @ SX1 @ SX0 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SX1 @ SX0 ) @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[438]) ).
thf(463,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SX0 ) ) @ ( sK17_SY336 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK15_X1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[410]) ).
thf(464,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 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(465,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( seq_list_char @ SX0 @ SX1 )
= ( seq_list_char @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ( seq_list_char @ SX0 @ SX1 )
!= ( seq_list_char @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( seq_list_char @ SX0 @ SX1 )
!= ( seq_list_char @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[445]) ).
thf(466,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SX0 ) ) @ ( sK14_SY335 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK12_X1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[411]) ).
thf(467,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[422]) ).
thf(468,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 )
| ( SX3 != SX1 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) ) @ SX3 )
!= ( some_val @ SX4 ) )
| ( SX3 = SX1 )
| ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
= ( some_val @ SX4 ) ) ) )
| ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) ) @ SX3 )
!= ( some_val @ SX4 ) )
| ( SX2 = SX4 )
| ( SX3 != SX1 ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) ) @ SX3 )
!= ( some_val @ SX4 ) )
| ( SX2 = SX4 )
| ( ( hAPP_l207779698on_val @ SX0 @ SX3 )
= ( some_val @ SX4 ) ) ) ) )
| ~ ~ ( ~ ! [SX3: $i,SX4: $i] :
( ( SX3 != SX1 )
| ( SX2 != SX4 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX1 @ ( some_val @ SX2 ) ) @ SX3 )
= ( some_val @ SX4 ) ) )
| ~ ! [SX3: $i,SX4: $i] :
( ( 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)],[376]) ).
thf(469,plain,
( ( ! [SX0: $i] :
~ ( ~ ! [SX1: $i,SX2: $i] :
( ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
!= SX0 )
| ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
= SX2 ) )
| ~ ! [SX1: $i,SX2: $i] :
( ( ( hAPP_l207779698on_val @ SX0 @ SX1 )
!= SX2 )
| ( ( fun_up1149430426on_val @ SX0 @ SX1 @ SX2 )
= SX0 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(470,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX2 != SX3 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX3 @ SX1 ) @ SX2 )
= SX1 ) )
| ~ ! [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)],[394]) ).
thf(471,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[423]) ).
thf(472,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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)],[405]) ).
thf(473,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SX0 ) ) @ ( sK11_SY334 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK9_X1 @ SX0 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[412]) ).
thf(474,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 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(475,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ( ( val_list_char @ SX0 )
!= ( val_list_char @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( val_list_char @ SX0 )
= ( val_list_char @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[444]) ).
thf(476,plain,
( ( ! [SX0: $i,SX1: $i,SX2: $i,SX3: $i] :
~ ( ~ ! [SX4: $i,SX5: $i] :
( ( SX0 != SX3 )
| ( SX1 != SX4 )
| ( SX2 != SX5 )
| ( ( block_list_char @ SX0 @ SX1 @ SX2 )
= ( block_list_char @ SX3 @ SX4 @ SX5 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SX4: $i,SX5: $i] :
( ( block_list_char @ SX0 @ SX1 @ SX2 )
!= ( block_list_char @ SX3 @ SX4 @ SX5 ) )
| ( SX0 = SX3 ) )
| ~ ! [SX4: $i] :
( ! [SX5: $i] :
( ( block_list_char @ SX0 @ SX1 @ SX2 )
!= ( block_list_char @ SX3 @ SX4 @ SX5 ) )
| ( SX1 = SX4 ) ) )
| ~ ! [SX4: $i,SX5: $i] :
( ( ( block_list_char @ SX0 @ SX1 @ SX2 )
!= ( block_list_char @ SX3 @ SX4 @ SX5 ) )
| ( SX2 = SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[447]) ).
thf(477,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(478,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK47_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SX0 ) ) @ ( sK46_SY356 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(479,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX3 != SX2 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
= SX1 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( SX3 = SX2 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SX0 @ SX2 @ SX1 ) @ SX3 )
= ( hAPP_l207779698on_val @ SX0 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(480,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[421]) ).
thf(481,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( lAss_list_char @ SX0 @ SX1 )
= ( lAss_list_char @ SX2 @ SX3 ) ) )
| ~ ~ ( ~ ! [SX2: $i] :
( ! [SX3: $i] :
( ( lAss_list_char @ SX0 @ SX1 )
!= ( lAss_list_char @ SX2 @ SX3 ) )
| ( SX0 = SX2 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( lAss_list_char @ SX0 @ SX1 )
!= ( lAss_list_char @ SX2 @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[446]) ).
thf(482,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK50_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SX0 ) ) @ ( sK49_SY357 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(483,plain,
( ( ~ ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK44_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SX0 ) ) @ ( sK43_SY355 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(484,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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)],[404]) ).
thf(485,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 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX0 ) @ SX1 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(486,plain,
( ( ~ ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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)],[403]) ).
thf(487,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX0 ) @ SX1 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(488,plain,
( ( ! [SX0: $i,SX1: $i] :
~ ( ~ ! [SX2: $i,SX3: $i] :
( ( SX0 != SX2 )
| ( SX1 != SX3 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) ) )
| ~ ~ ( ~ ! [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 ) )
| ~ ! [SX2: $i,SX3: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX0 ) @ SX1 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX2 ) @ SX3 ) )
| ( SX1 = SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(489,plain,
! [SV1: $i] :
( ( ! [SY370: $i] : ( is_bool @ ( member773094996on_val @ SV1 @ SY370 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[371]) ).
thf(490,plain,
! [SV2: $i] :
( ( ! [SY371: $i] :
( ( fun_up1149430426on_val @ SV2 @ SY371 @ ( hAPP_l207779698on_val @ SV2 @ SY371 ) )
= SV2 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(491,plain,
! [SV3: $i] :
( ( ! [SY372: $i,SY373: $i] :
( ( ( hAPP_l207779698on_val @ SV3 @ SY372 )
!= ( some_val @ SY373 ) )
| ( ( fun_up1149430426on_val @ SV3 @ SY372 @ ( some_val @ SY373 ) )
= SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(492,plain,
! [SV4: $i] :
( ( ! [SY374: $i,SY375: $i,SY376: $i,SY377: $i] :
( ( ( fun_up1149430426on_val @ SV4 @ SY374 @ ( some_val @ SY375 ) )
!= ( fun_up1149430426on_val @ SY376 @ SY374 @ ( some_val @ SY377 ) ) )
| ( SY375 = SY377 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(493,plain,
! [SV5: $i] :
( ( ! [SY378: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY378 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A_15 @ SY378 @ SV5 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY364 @ SY378 @ SV5 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY367 @ SY378 @ SV5 ) ) @ ( sK58_SY369 @ SY378 @ SV5 ) ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY378 @ SV5 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(494,plain,
! [SV6: $i] :
( ( SV6
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK51_A_15 @ SV6 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK52_SY358 @ SV6 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK53_SY361 @ SV6 ) ) @ ( sK54_SY363 @ SV6 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[380]) ).
thf(495,plain,
! [SV7: $i] :
( ( ! [SY379: $i,SY380: $i] :
( ( ( hAPP_l207779698on_val @ SV7 @ SY379 )
!= SY380 )
| ( ( fun_up1149430426on_val @ SV7 @ SY379 @ SY380 )
= SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[391]) ).
thf(496,plain,
! [SV8: $i] :
( ( ! [SY381: $i,SY382: $i,SY383: $i] :
( ( SY382 = SY383 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SY383 @ SY381 ) @ SY382 )
= ( hAPP_l207779698on_val @ SV8 @ SY382 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[392]) ).
thf(497,plain,
! [SV9: $i] :
( ( ! [SY384: $i,SY385: $i,SY386: $i,SY387: $i] :
( ( SY386 = SY387 )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY386 @ SY384 ) @ SY387 @ SY385 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY387 @ SY385 ) @ SY386 @ SY384 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[393]) ).
thf(498,plain,
! [SV10: $i] :
( ( ! [SY388: $i,SY389: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SY388 @ SY389 ) @ SY388 )
= SY389 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[395]) ).
thf(499,plain,
! [SV11: $i] :
( ( ! [SY390: $i,SY391: $i,SY392: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SY390 @ SY391 ) @ SY390 @ SY392 )
= ( fun_up1149430426on_val @ SV11 @ SY390 @ SY392 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(500,plain,
! [SV12: $i] :
( ( ! [SY393: $i] : ( hBOOL @ ( widen_2090681816t_char @ SV12 @ SY393 @ SY393 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(501,plain,
! [SV13: $i] :
( ( SV13
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK39_A_15 @ SV13 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK40_SY352 @ SV13 ) ) @ ( sK41_SY354 @ SV13 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[399]) ).
thf(502,plain,
! [SV14: $i] :
( ( SV14
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK36_A_15 @ SV14 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK37_SY349 @ SV14 ) ) @ ( sK38_SY351 @ SV14 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(503,plain,
! [SV15: $i] :
( ( ! [SY394: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY394 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK33_A_15 @ SY394 @ SV15 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_SY346 @ SY394 @ SV15 ) ) @ ( sK35_SY348 @ SY394 @ SV15 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY394 @ SV15 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[401]) ).
thf(504,plain,
! [SV16: $i] :
( ( ! [SY395: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SY395 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_15 @ SY395 @ SV16 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY343 @ SY395 @ SV16 ) ) @ ( sK32_SY345 @ SY395 @ SV16 ) ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SY395 @ SV16 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[402]) ).
thf(505,plain,
! [SV17: $i] :
( ( SV17
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK22_A_15 @ SV17 ) ) @ ( sK23_SY339 @ SV17 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(506,plain,
! [SV18: $i] :
( ( SV18
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK20_A_15 @ SV18 ) ) @ ( sK21_SY338 @ SV18 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(507,plain,
! [SV19: $i] :
( ( SV19
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK18_A_15 @ SV19 ) ) @ ( sK19_SY337 @ SV19 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[408]) ).
thf(508,plain,
! [SV20: $i] :
( ( ! [SY396: $i,SY397: $i,SY398: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SY396 @ SY397 @ SY398 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SY396 @ SY398 @ SV20 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SY396 @ SY397 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(509,plain,
! [SV21: $i] :
( ( SV21
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK7_X @ SV21 ) ) @ ( sK8_SY333 @ SV21 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(510,plain,
! [SV22: $i] :
( ( SV22
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK5_X @ SV22 ) ) @ ( sK6_SY332 @ SV22 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(511,plain,
! [SV23: $i] :
( ( SV23
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK3_X @ SV23 ) ) @ ( sK4_SY331 @ SV23 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(512,plain,
! [SV24: $i] :
( ( ! [SY399: $i,SY400: $i,SY401: $i,SY402: $i,SY403: $i] :
( ! [T_1: $i] :
~ ( hBOOL @ ( wTrt @ SY400 @ SY401 @ SY402 @ SY403 @ T_1 ) )
| ~ ( hBOOL @ ( wTrt @ SY400 @ SY401 @ SY402 @ SV24 @ SY399 ) )
| ( hBOOL @ ( wTrt @ SY400 @ SY401 @ SY402 @ ( seq_list_char @ SY403 @ SV24 ) @ SY399 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(513,plain,
! [SV25: $i] :
( ( ! [SY405: $i,SY406: $i,SY407: $i,SY408: $i,SY409: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY405 ) @ SY406 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY407 ) @ SY408 ) ) @ ( red @ SY409 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY405 @ SV25 ) ) @ SY406 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY407 @ SV25 ) ) @ SY408 ) ) @ ( red @ SY409 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(514,plain,
! [SV26: $i] :
( ( ! [SY410: $i,SY411: $i,SY412: $i,SY413: $i,SY414: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY410 ) @ SY411 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY412 ) @ SY413 ) ) @ ( red @ SY414 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SY410 ) ) @ SY411 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SY412 ) ) @ SY413 ) ) @ ( red @ SY414 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(515,plain,
! [SV27: $i] :
( ( ! [SY415: $i,SY416: $i,SY417: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV27 ) @ SY415 ) ) @ SY416 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY415 ) @ SY416 ) ) @ ( red @ SY417 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(516,plain,
! [SV28: $i] :
( ( ! [SY418: $i,SY419: $i,SY420: $i,SY421: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV28 @ SY418 @ ( val_list_char @ SY419 ) ) ) @ SY420 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY419 ) ) @ SY420 ) ) @ ( red @ SY421 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(517,plain,
! [SV29: $i] :
( ( ! [SY422: $i,SY423: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV29 @ SY422 @ ( some_val @ SY423 ) ) @ ( sK2_X @ SY423 @ SY422 @ SV29 ) )
!= none_val ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(518,plain,
! [SV30: $i] :
( ( ! [SY424: $i] : ( is_bool @ ( assigned @ SV30 @ SY424 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(519,plain,
! [SV31: $i] :
( ( ! [SY425: $i,SY426: $i] : ( is_bool @ ( widen_2090681816t_char @ SV31 @ SY425 @ SY426 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(520,plain,
! [SV32: $i] :
( ( ! [SY427: $i] : ( is_bool @ ( wf_pro755087577t_char @ SV32 @ SY427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(521,plain,
! [SV33: $i] :
( ( ! [SY428: $i,SY429: $i,SY430: $i,SY431: $i] : ( is_bool @ ( wTrt @ SV33 @ SY428 @ SY429 @ SY430 @ SY431 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(522,plain,
! [SV34: $i] :
( ( ! [SY432: $i] :
( ~ ( is_bool @ SY432 )
| ( is_bool @ ( hAPP_bool_bool @ SV34 @ SY432 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(523,plain,
! [SV35: $i] :
( ( ! [SY433: $i] : ( is_bool @ ( hAPP_f1001225811y_bool @ SV35 @ SY433 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(524,plain,
! [SV36: $i] :
( ( ! [SY434: $i] : ( is_bool @ ( hAPP_f1033709212l_bool @ SV36 @ SY434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(525,plain,
! [SV37: $i] :
( ( ! [SY435: $i] : ( is_bool @ ( hAPP_f61040418l_bool @ SV37 @ SY435 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(526,plain,
! [SV38: $i] :
( ( ! [SY436: $i] : ( is_bool @ ( hAPP_P1708370145l_bool @ SV38 @ SY436 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(527,plain,
! [SV39: $i] :
( ( ! [SY437: $i] : ( is_bool @ ( hAPP_P159683425l_bool @ SV39 @ SY437 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(528,plain,
! [SV40: $i] :
( ( ! [SY438: $i] : ( is_bool @ ( hAPP_P282169671l_bool @ SV40 @ SY438 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(529,plain,
! [SV41: $i] :
( ( ! [SY439: $i] : ( is_bool @ ( member840932460on_val @ SV41 @ SY439 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(530,plain,
! [SV42: $i] :
( ( ! [SY440: $i] : ( is_bool @ ( member763590124on_val @ SV42 @ SY440 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(531,plain,
! [SV43: $i] :
( ( ! [SY441: $i,SY442: $i,SY443: $i,SY444: $i,SY445: $i,SY446: $i,SY447: $i,SY448: $i,SY449: $i,SY450: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY442 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY443 ) @ ( fun_up1149430426on_val @ SY444 @ SY445 @ ( some_val @ SY446 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY447 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY448 ) @ SY449 ) ) ) @ ( red @ SY450 ) ) )
| ( ( hAPP_l207779698on_val @ SY449 @ SY445 )
!= ( some_val @ SY441 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY445 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY445 @ ( val_list_char @ SY446 ) ) @ SY442 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY443 ) @ SY444 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY445 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY445 @ ( val_list_char @ SY441 ) ) @ SY447 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY448 ) @ ( fun_up1149430426on_val @ SY449 @ SY445 @ ( hAPP_l207779698on_val @ SY444 @ SY445 ) ) ) ) ) @ ( red @ SY450 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(532,plain,
! [SV44: $i] :
( ( ! [SY451: $i,SY452: $i,SY453: $i,SY454: $i,SY455: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV44 @ SY451 @ ( seq_list_char @ ( lAss_list_char @ SV44 @ ( val_list_char @ SY452 ) ) @ ( val_list_char @ SY453 ) ) ) ) @ SY454 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY453 ) ) @ SY454 ) ) @ ( red @ SY455 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(533,plain,
! [SV45: $i] :
( ( ! [SY456: $i,SY457: $i,SY458: $i,SY459: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV45 @ ( val_list_char @ SY456 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY457 ) @ SY458 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY457 ) @ ( fun_up1149430426on_val @ SY458 @ SV45 @ ( some_val @ SY456 ) ) ) ) ) @ ( red @ SY459 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(534,plain,
! [SV46: $i] :
( ( ! [SY460: $i,SY461: $i,SY462: $i,SY463: $i] :
( ( block_list_char @ SV46 @ SY460 @ SY461 )
!= ( lAss_list_char @ SY462 @ SY463 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(535,plain,
! [SV47: $i] :
( ( ! [SY464: $i,SY465: $i,SY466: $i,SY467: $i] :
( ( block_list_char @ SV47 @ SY464 @ SY465 )
!= ( seq_list_char @ SY466 @ SY467 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(536,plain,
! [SV48: $i] :
( ( ! [SY468: $i,SY469: $i] :
( ( val_list_char @ SV48 )
!= ( seq_list_char @ SY468 @ SY469 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(537,plain,
! [SV49: $i] :
( ( ! [SY470: $i,SY471: $i] :
( ( val_list_char @ SV49 )
!= ( lAss_list_char @ SY470 @ SY471 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(538,plain,
! [SV50: $i] :
( ( ! [SY472: $i,SY473: $i] :
( ( seq_list_char @ SV50 @ SY472 )
!= ( val_list_char @ SY473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(539,plain,
! [SV51: $i] :
( ( ! [SY474: $i,SY475: $i] :
( ( lAss_list_char @ SV51 @ SY474 )
!= ( val_list_char @ SY475 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(540,plain,
! [SV52: $i] :
( ( ! [SY476: $i,SY477: $i,SY478: $i] :
( ( val_list_char @ SV52 )
!= ( block_list_char @ SY476 @ SY477 @ SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(541,plain,
! [SV53: $i] :
( ( ! [SY479: $i,SY480: $i,SY481: $i] :
( ( block_list_char @ SV53 @ SY479 @ SY480 )
!= ( val_list_char @ SY481 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(542,plain,
! [SV54: $i] :
( ( ! [SY482: $i,SY483: $i,SY484: $i] :
( ( seq_list_char @ SV54 @ SY482 )
!= ( lAss_list_char @ SY483 @ SY484 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(543,plain,
! [SV55: $i] :
( ( ! [SY485: $i,SY486: $i,SY487: $i] :
( ( lAss_list_char @ SV55 @ SY485 )
!= ( seq_list_char @ SY486 @ SY487 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(544,plain,
! [SV56: $i] :
( ( ! [SY488: $i,SY489: $i,SY490: $i,SY491: $i] :
( ( seq_list_char @ SV56 @ SY488 )
!= ( block_list_char @ SY489 @ SY490 @ SY491 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(545,plain,
! [SV57: $i] :
( ( ! [SY492: $i,SY493: $i,SY494: $i,SY495: $i] :
( ( lAss_list_char @ SV57 @ SY492 )
!= ( block_list_char @ SY493 @ SY494 @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(546,plain,
! [SV58: $i] :
( ( ! [SY496: $i,SY497: $i,SY498: $i,SY499: $i,SY500: $i,SY501: $i,SY502: $i,SY503: $i,SY504: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY497 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY498 ) @ ( fun_up1149430426on_val @ SY499 @ SY500 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY501 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY502 ) @ SY503 ) ) ) @ ( red @ SY504 ) ) )
| ( ( hAPP_l207779698on_val @ SY503 @ SY500 )
!= ( some_val @ SY496 ) )
| ( hBOOL @ ( assigned @ SY500 @ SY497 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY500 @ SV58 @ SY497 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY498 ) @ SY499 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY500 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SY500 @ ( val_list_char @ SY496 ) ) @ SY501 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY502 ) @ ( fun_up1149430426on_val @ SY503 @ SY500 @ ( hAPP_l207779698on_val @ SY499 @ SY500 ) ) ) ) ) @ ( red @ SY504 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(547,plain,
! [SV59: $i] :
( ( ! [SY505: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ ( cOMBK_1097134891t_char @ none_val ) @ SV59 @ none_val ) @ SY505 )
= none_val ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(548,plain,
! [SV60: $i] :
( ( ! [SY506: $i] :
( ( hAPP_l207779698on_val @ ( cOMBK_1097134891t_char @ SV60 ) @ SY506 )
= SV60 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(549,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)],[461]) ).
thf(550,plain,
! [SV61: $i] :
( ( ! [SY507: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SY507 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
| ~ ( hBOOL @ ( wTrt @ p @ ha @ SY507 @ ea @ SV61 ) )
| ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SY507 @ e_a @ ( sK1_T_5 @ SY507 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SY507 @ SV61 ) @ SV61 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(551,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SX0 ) ) @ ( sK17_SY336 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK15_X1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[463]) ).
thf(552,plain,
! [SV62: $i] :
( ( ! [SY508: $i] :
~ ( ~ ! [SY509: $i] :
( ! [SY510: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SY508 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY509 ) @ SY510 ) )
| ( SV62 = SY509 ) )
| ~ ! [SY511: $i,SY512: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SY508 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY511 ) @ SY512 ) )
| ( SY508 = SY512 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(553,plain,
! [SV63: $i] :
( ( ! [SY513: $i] :
~ ( ~ ! [SY514: $i,SY515: $i] :
( ( SV63 != SY514 )
| ( SY513 != SY515 )
| ( ( seq_list_char @ SV63 @ SY513 )
= ( seq_list_char @ SY514 @ SY515 ) ) )
| ~ ~ ( ~ ! [SY516: $i] :
( ! [SY517: $i] :
( ( seq_list_char @ SV63 @ SY513 )
!= ( seq_list_char @ SY516 @ SY517 ) )
| ( SV63 = SY516 ) )
| ~ ! [SY518: $i,SY519: $i] :
( ( ( seq_list_char @ SV63 @ SY513 )
!= ( seq_list_char @ SY518 @ SY519 ) )
| ( SY513 = SY519 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(554,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SX0 ) ) @ ( sK14_SY335 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK12_X1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[466]) ).
thf(555,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[467]) ).
thf(556,plain,
! [SV64: $i] :
( ( ! [SY520: $i,SY521: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY522: $i] :
( ! [SY523: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SY520 @ ( some_val @ SY521 ) ) @ SY522 )
!= ( some_val @ SY523 ) )
| ( SY522 = SY520 )
| ( SY522 != SY520 ) )
| ~ ! [SY524: $i,SY525: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SY520 @ ( some_val @ SY521 ) ) @ SY524 )
!= ( some_val @ SY525 ) )
| ( SY524 = SY520 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY524 )
= ( some_val @ SY525 ) ) ) )
| ~ ~ ( ~ ! [SY526: $i,SY527: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SY520 @ ( some_val @ SY521 ) ) @ SY526 )
!= ( some_val @ SY527 ) )
| ( SY521 = SY527 )
| ( SY526 != SY520 ) )
| ~ ! [SY528: $i,SY529: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SY520 @ ( some_val @ SY521 ) ) @ SY528 )
!= ( some_val @ SY529 ) )
| ( SY521 = SY529 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY528 )
= ( some_val @ SY529 ) ) ) ) )
| ~ ~ ( ~ ! [SY530: $i,SY531: $i] :
( ( SY530 != SY520 )
| ( SY521 != SY531 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SY520 @ ( some_val @ SY521 ) ) @ SY530 )
= ( some_val @ SY531 ) ) )
| ~ ! [SY532: $i,SY533: $i] :
( ( SY532 = SY520 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY532 )
!= ( some_val @ SY533 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SY520 @ ( some_val @ SY521 ) ) @ SY532 )
= ( some_val @ SY533 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(557,plain,
! [SV65: $i] :
( ( ~ ( ~ ! [SY534: $i,SY535: $i] :
( ( ( fun_up1149430426on_val @ SV65 @ SY534 @ SY535 )
!= SV65 )
| ( ( hAPP_l207779698on_val @ SV65 @ SY534 )
= SY535 ) )
| ~ ! [SY536: $i,SY537: $i] :
( ( ( hAPP_l207779698on_val @ SV65 @ SY536 )
!= SY537 )
| ( ( fun_up1149430426on_val @ SV65 @ SY536 @ SY537 )
= SV65 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(558,plain,
! [SV66: $i] :
( ( ! [SY538: $i] :
~ ( ~ ! [SY539: $i,SY540: $i] :
( ( SY539 != SY540 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY540 @ SY538 ) @ SY539 )
= SY538 ) )
| ~ ! [SY541: $i,SY542: $i] :
( ( SY541 = SY542 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY542 @ SY538 ) @ SY541 )
= ( hAPP_l207779698on_val @ SV66 @ SY541 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[470]) ).
thf(559,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[471]) ).
thf(560,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[472]) ).
thf(561,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SX0 ) ) @ ( sK11_SY334 @ SX0 ) ) ) ) )
| ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK9_X1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[473]) ).
thf(562,plain,
! [SV67: $i] :
( ( ! [SY543: $i] :
~ ( ~ ! [SY544: $i] :
( ! [SY545: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SY543 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY544 ) @ SY545 ) )
| ( SV67 = SY544 ) )
| ~ ! [SY546: $i,SY547: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SY543 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY546 ) @ SY547 ) )
| ( SY543 = SY547 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(563,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( val_list_char @ SX0 )
!= ( val_list_char @ SX1 ) )
| ( SX0 = SX1 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( val_list_char @ SX0 )
= ( val_list_char @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[475]) ).
thf(564,plain,
! [SV68: $i] :
( ( ! [SY548: $i,SY549: $i,SY550: $i] :
~ ( ~ ! [SY551: $i,SY552: $i] :
( ( SV68 != SY550 )
| ( SY548 != SY551 )
| ( SY549 != SY552 )
| ( ( block_list_char @ SV68 @ SY548 @ SY549 )
= ( block_list_char @ SY550 @ SY551 @ SY552 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY553: $i,SY554: $i] :
( ( block_list_char @ SV68 @ SY548 @ SY549 )
!= ( block_list_char @ SY550 @ SY553 @ SY554 ) )
| ( SV68 = SY550 ) )
| ~ ! [SY555: $i] :
( ! [SY556: $i] :
( ( block_list_char @ SV68 @ SY548 @ SY549 )
!= ( block_list_char @ SY550 @ SY555 @ SY556 ) )
| ( SY548 = SY555 ) ) )
| ~ ! [SY557: $i,SY558: $i] :
( ( ( block_list_char @ SV68 @ SY548 @ SY549 )
!= ( block_list_char @ SY550 @ SY557 @ SY558 ) )
| ( SY549 = SY558 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(565,plain,
! [SV69: $i] :
( ( ! [SY559: $i] :
~ ( ~ ! [SY560: $i,SY561: $i] :
( ( SV69 != SY560 )
| ( SY559 != SY561 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SY559 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY560 ) @ SY561 ) ) )
| ~ ~ ( ~ ! [SY562: $i] :
( ! [SY563: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SY559 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY562 ) @ SY563 ) )
| ( SV69 = SY562 ) )
| ~ ! [SY564: $i,SY565: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SY559 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY564 ) @ SY565 ) )
| ( SY559 = SY565 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(566,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK47_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SX0 ) ) @ ( sK46_SY356 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[478]) ).
thf(567,plain,
! [SV70: $i] :
( ( ! [SY566: $i] :
~ ( ~ ! [SY567: $i,SY568: $i] :
( ( SY568 != SY567 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY567 @ SY566 ) @ SY568 )
= SY566 ) )
| ~ ! [SY569: $i,SY570: $i] :
( ( SY570 = SY569 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY569 @ SY566 ) @ SY570 )
= ( hAPP_l207779698on_val @ SV70 @ SY570 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(568,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) )
| ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[480]) ).
thf(569,plain,
! [SV71: $i] :
( ( ! [SY571: $i] :
~ ( ~ ! [SY572: $i,SY573: $i] :
( ( SV71 != SY572 )
| ( SY571 != SY573 )
| ( ( lAss_list_char @ SV71 @ SY571 )
= ( lAss_list_char @ SY572 @ SY573 ) ) )
| ~ ~ ( ~ ! [SY574: $i] :
( ! [SY575: $i] :
( ( lAss_list_char @ SV71 @ SY571 )
!= ( lAss_list_char @ SY574 @ SY575 ) )
| ( SV71 = SY574 ) )
| ~ ! [SY576: $i,SY577: $i] :
( ( ( lAss_list_char @ SV71 @ SY571 )
!= ( lAss_list_char @ SY576 @ SY577 ) )
| ( SY571 = SY577 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(570,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK50_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SX0 ) ) @ ( sK49_SY357 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[482]) ).
thf(571,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK44_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) )
| ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SX0 ) ) @ ( sK43_SY355 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[483]) ).
thf(572,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[484]) ).
thf(573,plain,
! [SV72: $i] :
( ( ! [SY578: $i] :
~ ( ~ ! [SY579: $i] :
( ! [SY580: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SY578 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY579 ) @ SY580 ) )
| ( SV72 = SY579 ) )
| ~ ! [SY581: $i,SY582: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SY578 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY581 ) @ SY582 ) )
| ( SY578 = SY582 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(574,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) )
| ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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 ) ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[486]) ).
thf(575,plain,
! [SV73: $i] :
( ( ! [SY583: $i] :
~ ( ~ ! [SY584: $i,SY585: $i] :
( ( SV73 != SY584 )
| ( SY583 != SY585 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SY583 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY584 ) @ SY585 ) ) )
| ~ ~ ( ~ ! [SY586: $i] :
( ! [SY587: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SY583 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY586 ) @ SY587 ) )
| ( SV73 = SY586 ) )
| ~ ! [SY588: $i,SY589: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SY583 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY588 ) @ SY589 ) )
| ( SY583 = SY589 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(576,plain,
! [SV74: $i] :
( ( ! [SY590: $i] :
~ ( ~ ! [SY591: $i,SY592: $i] :
( ( SV74 != SY591 )
| ( SY590 != SY592 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SY590 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY591 ) @ SY592 ) ) )
| ~ ~ ( ~ ! [SY593: $i] :
( ! [SY594: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SY590 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY593 ) @ SY594 ) )
| ( SV74 = SY593 ) )
| ~ ! [SY595: $i,SY596: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SY590 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY595 ) @ SY596 ) )
| ( SY590 = SY596 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(577,plain,
! [SV75: $i,SV1: $i] :
( ( is_bool @ ( member773094996on_val @ SV1 @ SV75 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(578,plain,
! [SV76: $i,SV2: $i] :
( ( ( fun_up1149430426on_val @ SV2 @ SV76 @ ( hAPP_l207779698on_val @ SV2 @ SV76 ) )
= SV2 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(579,plain,
! [SV77: $i,SV3: $i] :
( ( ! [SY597: $i] :
( ( ( hAPP_l207779698on_val @ SV3 @ SV77 )
!= ( some_val @ SY597 ) )
| ( ( fun_up1149430426on_val @ SV3 @ SV77 @ ( some_val @ SY597 ) )
= SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(580,plain,
! [SV78: $i,SV4: $i] :
( ( ! [SY598: $i,SY599: $i,SY600: $i] :
( ( ( fun_up1149430426on_val @ SV4 @ SV78 @ ( some_val @ SY598 ) )
!= ( fun_up1149430426on_val @ SY599 @ SV78 @ ( some_val @ SY600 ) ) )
| ( SY598 = SY600 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(581,plain,
! [SV5: $i,SV79: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV79 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A_15 @ SV79 @ SV5 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY364 @ SV79 @ SV5 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY367 @ SV79 @ SV5 ) ) @ ( sK58_SY369 @ SV79 @ SV5 ) ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV79 @ SV5 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[493]) ).
thf(582,plain,
! [SV80: $i,SV7: $i] :
( ( ! [SY601: $i] :
( ( ( hAPP_l207779698on_val @ SV7 @ SV80 )
!= SY601 )
| ( ( fun_up1149430426on_val @ SV7 @ SV80 @ SY601 )
= SV7 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(583,plain,
! [SV81: $i,SV8: $i] :
( ( ! [SY602: $i,SY603: $i] :
( ( SY602 = SY603 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SY603 @ SV81 ) @ SY602 )
= ( hAPP_l207779698on_val @ SV8 @ SY602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(584,plain,
! [SV82: $i,SV9: $i] :
( ( ! [SY604: $i,SY605: $i,SY606: $i] :
( ( SY605 = SY606 )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY605 @ SV82 ) @ SY606 @ SY604 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY606 @ SY604 ) @ SY605 @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[497]) ).
thf(585,plain,
! [SV83: $i,SV10: $i] :
( ( ! [SY607: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SV83 @ SY607 ) @ SV83 )
= SY607 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(586,plain,
! [SV84: $i,SV11: $i] :
( ( ! [SY608: $i,SY609: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV84 @ SY608 ) @ SV84 @ SY609 )
= ( fun_up1149430426on_val @ SV11 @ SV84 @ SY609 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(587,plain,
! [SV85: $i,SV12: $i] :
( ( hBOOL @ ( widen_2090681816t_char @ SV12 @ SV85 @ SV85 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(588,plain,
! [SV15: $i,SV86: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK33_A_15 @ SV86 @ SV15 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_SY346 @ SV86 @ SV15 ) ) @ ( sK35_SY348 @ SV86 @ SV15 ) ) ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV15 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(589,plain,
! [SV16: $i,SV87: $i] :
( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV87 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_15 @ SV87 @ SV16 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY343 @ SV87 @ SV16 ) ) @ ( sK32_SY345 @ SV87 @ SV16 ) ) ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SV87 @ SV16 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(590,plain,
! [SV20: $i,SV88: $i] :
( ( ! [SY610: $i,SY611: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY610 @ SY611 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY611 @ SV20 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY610 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(591,plain,
! [SV89: $i,SV24: $i] :
( ( ! [SY612: $i,SY613: $i,SY614: $i,SY615: $i] :
( ! [T_1: $i] :
~ ( hBOOL @ ( wTrt @ SY612 @ SY613 @ SY614 @ SY615 @ T_1 ) )
| ~ ( hBOOL @ ( wTrt @ SY612 @ SY613 @ SY614 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SY612 @ SY613 @ SY614 @ ( seq_list_char @ SY615 @ SV24 ) @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(592,plain,
! [SV25: $i,SV90: $i] :
( ( ! [SY617: $i,SY618: $i,SY619: $i,SY620: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SY617 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY618 ) @ SY619 ) ) @ ( red @ SY620 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SY617 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY618 @ SV25 ) ) @ SY619 ) ) @ ( red @ SY620 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(593,plain,
! [SV26: $i,SV91: $i] :
( ( ! [SY621: $i,SY622: $i,SY623: $i,SY624: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SY621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY622 ) @ SY623 ) ) @ ( red @ SY624 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SY621 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SY622 ) ) @ SY623 ) ) @ ( red @ SY624 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(594,plain,
! [SV92: $i,SV27: $i] :
( ( ! [SY625: $i,SY626: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV27 ) @ SV92 ) ) @ SY625 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV92 ) @ SY625 ) ) @ ( red @ SY626 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(595,plain,
! [SV93: $i,SV28: $i] :
( ( ! [SY627: $i,SY628: $i,SY629: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV28 @ SV93 @ ( val_list_char @ SY627 ) ) ) @ SY628 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY627 ) ) @ SY628 ) ) @ ( red @ SY629 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(596,plain,
! [SV94: $i,SV29: $i] :
( ( ! [SY630: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV29 @ SV94 @ ( some_val @ SY630 ) ) @ ( sK2_X @ SY630 @ SV94 @ SV29 ) )
!= none_val ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(597,plain,
! [SV95: $i,SV30: $i] :
( ( is_bool @ ( assigned @ SV30 @ SV95 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(598,plain,
! [SV96: $i,SV31: $i] :
( ( ! [SY631: $i] : ( is_bool @ ( widen_2090681816t_char @ SV31 @ SV96 @ SY631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(599,plain,
! [SV97: $i,SV32: $i] :
( ( is_bool @ ( wf_pro755087577t_char @ SV32 @ SV97 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(600,plain,
! [SV98: $i,SV33: $i] :
( ( ! [SY632: $i,SY633: $i,SY634: $i] : ( is_bool @ ( wTrt @ SV33 @ SV98 @ SY632 @ SY633 @ SY634 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(601,plain,
! [SV34: $i,SV99: $i] :
( ( ~ ( is_bool @ SV99 )
| ( is_bool @ ( hAPP_bool_bool @ SV34 @ SV99 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[522]) ).
thf(602,plain,
! [SV100: $i,SV35: $i] :
( ( is_bool @ ( hAPP_f1001225811y_bool @ SV35 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(603,plain,
! [SV101: $i,SV36: $i] :
( ( is_bool @ ( hAPP_f1033709212l_bool @ SV36 @ SV101 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(604,plain,
! [SV102: $i,SV37: $i] :
( ( is_bool @ ( hAPP_f61040418l_bool @ SV37 @ SV102 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(605,plain,
! [SV103: $i,SV38: $i] :
( ( is_bool @ ( hAPP_P1708370145l_bool @ SV38 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[526]) ).
thf(606,plain,
! [SV104: $i,SV39: $i] :
( ( is_bool @ ( hAPP_P159683425l_bool @ SV39 @ SV104 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[527]) ).
thf(607,plain,
! [SV105: $i,SV40: $i] :
( ( is_bool @ ( hAPP_P282169671l_bool @ SV40 @ SV105 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(608,plain,
! [SV106: $i,SV41: $i] :
( ( is_bool @ ( member840932460on_val @ SV41 @ SV106 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(609,plain,
! [SV107: $i,SV42: $i] :
( ( is_bool @ ( member763590124on_val @ SV42 @ SV107 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(610,plain,
! [SV43: $i,SV108: $i] :
( ( ! [SY635: $i,SY636: $i,SY637: $i,SY638: $i,SY639: $i,SY640: $i,SY641: $i,SY642: $i,SY643: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY635 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY636 ) @ ( fun_up1149430426on_val @ SY637 @ SY638 @ ( some_val @ SY639 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY640 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY641 ) @ SY642 ) ) ) @ ( red @ SY643 ) ) )
| ( ( hAPP_l207779698on_val @ SY642 @ SY638 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY638 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY638 @ ( val_list_char @ SY639 ) ) @ SY635 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY636 ) @ SY637 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY638 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY638 @ ( val_list_char @ SV108 ) ) @ SY640 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY641 ) @ ( fun_up1149430426on_val @ SY642 @ SY638 @ ( hAPP_l207779698on_val @ SY637 @ SY638 ) ) ) ) ) @ ( red @ SY643 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[531]) ).
thf(611,plain,
! [SV109: $i,SV44: $i] :
( ( ! [SY644: $i,SY645: $i,SY646: $i,SY647: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV44 @ SV109 @ ( seq_list_char @ ( lAss_list_char @ SV44 @ ( val_list_char @ SY644 ) ) @ ( val_list_char @ SY645 ) ) ) ) @ SY646 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY645 ) ) @ SY646 ) ) @ ( red @ SY647 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(612,plain,
! [SV110: $i,SV45: $i] :
( ( ! [SY648: $i,SY649: $i,SY650: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV45 @ ( val_list_char @ SV110 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY648 ) @ SY649 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY648 ) @ ( fun_up1149430426on_val @ SY649 @ SV45 @ ( some_val @ SV110 ) ) ) ) ) @ ( red @ SY650 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(613,plain,
! [SV111: $i,SV46: $i] :
( ( ! [SY651: $i,SY652: $i,SY653: $i] :
( ( block_list_char @ SV46 @ SV111 @ SY651 )
!= ( lAss_list_char @ SY652 @ SY653 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(614,plain,
! [SV112: $i,SV47: $i] :
( ( ! [SY654: $i,SY655: $i,SY656: $i] :
( ( block_list_char @ SV47 @ SV112 @ SY654 )
!= ( seq_list_char @ SY655 @ SY656 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(615,plain,
! [SV113: $i,SV48: $i] :
( ( ! [SY657: $i] :
( ( val_list_char @ SV48 )
!= ( seq_list_char @ SV113 @ SY657 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[536]) ).
thf(616,plain,
! [SV114: $i,SV49: $i] :
( ( ! [SY658: $i] :
( ( val_list_char @ SV49 )
!= ( lAss_list_char @ SV114 @ SY658 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[537]) ).
thf(617,plain,
! [SV115: $i,SV50: $i] :
( ( ! [SY659: $i] :
( ( seq_list_char @ SV50 @ SV115 )
!= ( val_list_char @ SY659 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(618,plain,
! [SV116: $i,SV51: $i] :
( ( ! [SY660: $i] :
( ( lAss_list_char @ SV51 @ SV116 )
!= ( val_list_char @ SY660 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(619,plain,
! [SV117: $i,SV52: $i] :
( ( ! [SY661: $i,SY662: $i] :
( ( val_list_char @ SV52 )
!= ( block_list_char @ SV117 @ SY661 @ SY662 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(620,plain,
! [SV118: $i,SV53: $i] :
( ( ! [SY663: $i,SY664: $i] :
( ( block_list_char @ SV53 @ SV118 @ SY663 )
!= ( val_list_char @ SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[541]) ).
thf(621,plain,
! [SV119: $i,SV54: $i] :
( ( ! [SY665: $i,SY666: $i] :
( ( seq_list_char @ SV54 @ SV119 )
!= ( lAss_list_char @ SY665 @ SY666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(622,plain,
! [SV120: $i,SV55: $i] :
( ( ! [SY667: $i,SY668: $i] :
( ( lAss_list_char @ SV55 @ SV120 )
!= ( seq_list_char @ SY667 @ SY668 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(623,plain,
! [SV121: $i,SV56: $i] :
( ( ! [SY669: $i,SY670: $i,SY671: $i] :
( ( seq_list_char @ SV56 @ SV121 )
!= ( block_list_char @ SY669 @ SY670 @ SY671 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(624,plain,
! [SV122: $i,SV57: $i] :
( ( ! [SY672: $i,SY673: $i,SY674: $i] :
( ( lAss_list_char @ SV57 @ SV122 )
!= ( block_list_char @ SY672 @ SY673 @ SY674 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(625,plain,
! [SV58: $i,SV123: $i] :
( ( ! [SY675: $i,SY676: $i,SY677: $i,SY678: $i,SY679: $i,SY680: $i,SY681: $i,SY682: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY675 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY676 ) @ ( fun_up1149430426on_val @ SY677 @ SY678 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY679 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY680 ) @ SY681 ) ) ) @ ( red @ SY682 ) ) )
| ( ( hAPP_l207779698on_val @ SY681 @ SY678 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SY678 @ SY675 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY678 @ SV58 @ SY675 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY676 ) @ SY677 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY678 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SY678 @ ( val_list_char @ SV123 ) ) @ SY679 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY680 ) @ ( fun_up1149430426on_val @ SY681 @ SY678 @ ( hAPP_l207779698on_val @ SY677 @ SY678 ) ) ) ) ) @ ( red @ SY682 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(626,plain,
! [SV124: $i,SV59: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ ( cOMBK_1097134891t_char @ none_val ) @ SV59 @ none_val ) @ SV124 )
= none_val )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(627,plain,
! [SV125: $i,SV60: $i] :
( ( ( hAPP_l207779698on_val @ ( cOMBK_1097134891t_char @ SV60 ) @ SV125 )
= SV60 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(628,plain,
! [SV61: $i,SV126: $i] :
( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
| ~ ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
| ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(629,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SX0 ) ) @ ( sK17_SY336 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(630,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK15_X1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[551]) ).
thf(631,plain,
! [SV127: $i,SV62: $i] :
( ( ~ ( ~ ! [SY683: $i] :
( ! [SY684: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY683 ) @ SY684 ) )
| ( SV62 = SY683 ) )
| ~ ! [SY685: $i,SY686: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY685 ) @ SY686 ) )
| ( SV127 = SY686 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[552]) ).
thf(632,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ( ~ ! [SY687: $i,SY688: $i] :
( ( SV63 != SY687 )
| ( SV128 != SY688 )
| ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SY687 @ SY688 ) ) )
| ~ ~ ( ~ ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) )
| ~ ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(633,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SX0 ) ) @ ( sK14_SY335 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(634,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK12_X1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[554]) ).
thf(635,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(636,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[555]) ).
thf(637,plain,
! [SV129: $i,SV64: $i] :
( ( ! [SY693: $i] :
~ ( ~ ~ ( ~ ~ ( ~ ! [SY694: $i] :
( ! [SY695: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SY693 ) ) @ SY694 )
!= ( some_val @ SY695 ) )
| ( SY694 = SV129 )
| ( SY694 != SV129 ) )
| ~ ! [SY696: $i,SY697: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SY693 ) ) @ SY696 )
!= ( some_val @ SY697 ) )
| ( SY696 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY696 )
= ( some_val @ SY697 ) ) ) )
| ~ ~ ( ~ ! [SY698: $i,SY699: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SY693 ) ) @ SY698 )
!= ( some_val @ SY699 ) )
| ( SY693 = SY699 )
| ( SY698 != SV129 ) )
| ~ ! [SY700: $i,SY701: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SY693 ) ) @ SY700 )
!= ( some_val @ SY701 ) )
| ( SY693 = SY701 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY700 )
= ( some_val @ SY701 ) ) ) ) )
| ~ ~ ( ~ ! [SY702: $i,SY703: $i] :
( ( SY702 != SV129 )
| ( SY693 != SY703 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SY693 ) ) @ SY702 )
= ( some_val @ SY703 ) ) )
| ~ ! [SY704: $i,SY705: $i] :
( ( SY704 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY704 )
!= ( some_val @ SY705 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SY693 ) ) @ SY704 )
= ( some_val @ SY705 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[556]) ).
thf(638,plain,
! [SV65: $i] :
( ( ~ ! [SY534: $i,SY535: $i] :
( ( ( fun_up1149430426on_val @ SV65 @ SY534 @ SY535 )
!= SV65 )
| ( ( hAPP_l207779698on_val @ SV65 @ SY534 )
= SY535 ) )
| ~ ! [SY536: $i,SY537: $i] :
( ( ( hAPP_l207779698on_val @ SV65 @ SY536 )
!= SY537 )
| ( ( fun_up1149430426on_val @ SV65 @ SY536 @ SY537 )
= SV65 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[557]) ).
thf(639,plain,
! [SV130: $i,SV66: $i] :
( ( ~ ( ~ ! [SY706: $i,SY707: $i] :
( ( SY706 != SY707 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY707 @ SV130 ) @ SY706 )
= SV130 ) )
| ~ ! [SY708: $i,SY709: $i] :
( ( SY708 = SY709 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY709 @ SV130 ) @ SY708 )
= ( hAPP_l207779698on_val @ SV66 @ SY708 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(640,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(641,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[559]) ).
thf(642,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(643,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[560]) ).
thf(644,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SX0 ) ) @ ( sK11_SY334 @ SX0 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(645,plain,
( ( ~ ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK9_X1 @ SX0 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[561]) ).
thf(646,plain,
! [SV131: $i,SV67: $i] :
( ( ~ ( ~ ! [SY710: $i] :
( ! [SY711: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY710 ) @ SY711 ) )
| ( SV67 = SY710 ) )
| ~ ! [SY712: $i,SY713: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY712 ) @ SY713 ) )
| ( SV131 = SY713 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[562]) ).
thf(647,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( ( val_list_char @ SX0 )
!= ( val_list_char @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(648,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( val_list_char @ SX0 )
= ( val_list_char @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[563]) ).
thf(649,plain,
! [SV132: $i,SV68: $i] :
( ( ! [SY714: $i,SY715: $i] :
~ ( ~ ! [SY716: $i,SY717: $i] :
( ( SV68 != SY715 )
| ( SV132 != SY716 )
| ( SY714 != SY717 )
| ( ( block_list_char @ SV68 @ SV132 @ SY714 )
= ( block_list_char @ SY715 @ SY716 @ SY717 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY718: $i,SY719: $i] :
( ( block_list_char @ SV68 @ SV132 @ SY714 )
!= ( block_list_char @ SY715 @ SY718 @ SY719 ) )
| ( SV68 = SY715 ) )
| ~ ! [SY720: $i] :
( ! [SY721: $i] :
( ( block_list_char @ SV68 @ SV132 @ SY714 )
!= ( block_list_char @ SY715 @ SY720 @ SY721 ) )
| ( SV132 = SY720 ) ) )
| ~ ! [SY722: $i,SY723: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SY714 )
!= ( block_list_char @ SY715 @ SY722 @ SY723 ) )
| ( SY714 = SY723 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(650,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ( ~ ! [SY724: $i,SY725: $i] :
( ( SV69 != SY724 )
| ( SV133 != SY725 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY724 ) @ SY725 ) ) )
| ~ ~ ( ~ ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) )
| ~ ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(651,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK47_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(652,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SX0 ) ) @ ( sK46_SY356 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[566]) ).
thf(653,plain,
! [SV134: $i,SV70: $i] :
( ( ~ ( ~ ! [SY730: $i,SY731: $i] :
( ( SY731 != SY730 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY730 @ SV134 ) @ SY731 )
= SV134 ) )
| ~ ! [SY732: $i,SY733: $i] :
( ( SY733 = SY732 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY732 @ SV134 ) @ SY733 )
= ( hAPP_l207779698on_val @ SV70 @ SY733 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(654,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(655,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[568]) ).
thf(656,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ( ~ ! [SY734: $i,SY735: $i] :
( ( SV71 != SY734 )
| ( SV135 != SY735 )
| ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SY734 @ SY735 ) ) )
| ~ ~ ( ~ ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) )
| ~ ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(657,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK50_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(658,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SX0 ) ) @ ( sK49_SY357 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[570]) ).
thf(659,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK44_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(660,plain,
( ( ~ ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SX0 ) ) @ ( sK43_SY355 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[571]) ).
thf(661,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(662,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[572]) ).
thf(663,plain,
! [SV136: $i,SV72: $i] :
( ( ~ ( ~ ! [SY740: $i] :
( ! [SY741: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY740 ) @ SY741 ) )
| ( SV72 = SY740 ) )
| ~ ! [SY742: $i,SY743: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY742 ) @ SY743 ) )
| ( SV136 = SY743 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[573]) ).
thf(664,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(665,plain,
( ( ~ ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[574]) ).
thf(666,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ( ~ ! [SY744: $i,SY745: $i] :
( ( SV73 != SY744 )
| ( SV137 != SY745 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY744 ) @ SY745 ) ) )
| ~ ~ ( ~ ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) )
| ~ ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[575]) ).
thf(667,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ( ~ ! [SY750: $i,SY751: $i] :
( ( SV74 != SY750 )
| ( SV138 != SY751 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY750 ) @ SY751 ) ) )
| ~ ~ ( ~ ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) )
| ~ ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(668,plain,
! [SV139: $i,SV77: $i,SV3: $i] :
( ( ( ( hAPP_l207779698on_val @ SV3 @ SV77 )
!= ( some_val @ SV139 ) )
| ( ( fun_up1149430426on_val @ SV3 @ SV77 @ ( some_val @ SV139 ) )
= SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[579]) ).
thf(669,plain,
! [SV140: $i,SV78: $i,SV4: $i] :
( ( ! [SY756: $i,SY757: $i] :
( ( ( fun_up1149430426on_val @ SV4 @ SV78 @ ( some_val @ SV140 ) )
!= ( fun_up1149430426on_val @ SY756 @ SV78 @ ( some_val @ SY757 ) ) )
| ( SV140 = SY757 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(670,plain,
! [SV5: $i,SV79: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV79 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A_15 @ SV79 @ SV5 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY364 @ SV79 @ SV5 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY367 @ SV79 @ SV5 ) ) @ ( sK58_SY369 @ SV79 @ SV5 ) ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV79 @ SV5 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[581]) ).
thf(671,plain,
! [SV141: $i,SV80: $i,SV7: $i] :
( ( ( ( hAPP_l207779698on_val @ SV7 @ SV80 )
!= SV141 )
| ( ( fun_up1149430426on_val @ SV7 @ SV80 @ SV141 )
= SV7 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[582]) ).
thf(672,plain,
! [SV81: $i,SV8: $i,SV142: $i] :
( ( ! [SY758: $i] :
( ( SV142 = SY758 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SY758 @ SV81 ) @ SV142 )
= ( hAPP_l207779698on_val @ SV8 @ SV142 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(673,plain,
! [SV143: $i,SV82: $i,SV9: $i] :
( ( ! [SY759: $i,SY760: $i] :
( ( SY759 = SY760 )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY759 @ SV82 ) @ SY760 @ SV143 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY760 @ SV143 ) @ SY759 @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(674,plain,
! [SV144: $i,SV83: $i,SV10: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV10 @ SV83 @ SV144 ) @ SV83 )
= SV144 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(675,plain,
! [SV145: $i,SV84: $i,SV11: $i] :
( ( ! [SY761: $i] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV84 @ SV145 ) @ SV84 @ SY761 )
= ( fun_up1149430426on_val @ SV11 @ SV84 @ SY761 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(676,plain,
! [SV15: $i,SV86: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK33_A_15 @ SV86 @ SV15 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_SY346 @ SV86 @ SV15 ) ) @ ( sK35_SY348 @ SV86 @ SV15 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV15 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[588]) ).
thf(677,plain,
! [SV16: $i,SV87: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV87 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_15 @ SV87 @ SV16 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY343 @ SV87 @ SV16 ) ) @ ( sK32_SY345 @ SV87 @ SV16 ) ) ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV87 @ SV16 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[589]) ).
thf(678,plain,
! [SV20: $i,SV146: $i,SV88: $i] :
( ( ! [SY762: $i] :
( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SY762 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SY762 @ SV20 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV20 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[590]) ).
thf(679,plain,
! [SV89: $i,SV24: $i,SV147: $i] :
( ( ! [SY763: $i,SY764: $i,SY765: $i] :
( ! [SY766: $i] :
~ ( hBOOL @ ( wTrt @ SV147 @ SY763 @ SY764 @ SY765 @ SY766 ) )
| ~ ( hBOOL @ ( wTrt @ SV147 @ SY763 @ SY764 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SY763 @ SY764 @ ( seq_list_char @ SY765 @ SV24 ) @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(680,plain,
! [SV25: $i,SV148: $i,SV90: $i] :
( ( ! [SY767: $i,SY768: $i,SY769: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY767 ) @ SY768 ) ) @ ( red @ SY769 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SY767 @ SV25 ) ) @ SY768 ) ) @ ( red @ SY769 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[592]) ).
thf(681,plain,
! [SV26: $i,SV149: $i,SV91: $i] :
( ( ! [SY770: $i,SY771: $i,SY772: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY770 ) @ SY771 ) ) @ ( red @ SY772 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SY770 ) ) @ SY771 ) ) @ ( red @ SY772 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(682,plain,
! [SV150: $i,SV92: $i,SV27: $i] :
( ( ! [SY773: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV27 ) @ SV92 ) ) @ SV150 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV92 ) @ SV150 ) ) @ ( red @ SY773 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(683,plain,
! [SV151: $i,SV93: $i,SV28: $i] :
( ( ! [SY774: $i,SY775: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV28 @ SV93 @ ( val_list_char @ SV151 ) ) ) @ SY774 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV151 ) ) @ SY774 ) ) @ ( red @ SY775 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(684,plain,
! [SV152: $i,SV94: $i,SV29: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV29 @ SV94 @ ( some_val @ SV152 ) ) @ ( sK2_X @ SV152 @ SV94 @ SV29 ) )
!= none_val ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(685,plain,
! [SV153: $i,SV96: $i,SV31: $i] :
( ( is_bool @ ( widen_2090681816t_char @ SV31 @ SV96 @ SV153 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(686,plain,
! [SV154: $i,SV98: $i,SV33: $i] :
( ( ! [SY776: $i,SY777: $i] : ( is_bool @ ( wTrt @ SV33 @ SV98 @ SV154 @ SY776 @ SY777 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(687,plain,
! [SV34: $i,SV99: $i] :
( ( ( ~ ( is_bool @ SV99 ) )
= $true )
| ( ( is_bool @ ( hAPP_bool_bool @ SV34 @ SV99 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[601]) ).
thf(688,plain,
! [SV43: $i,SV108: $i,SV155: $i] :
( ( ! [SY778: $i,SY779: $i,SY780: $i,SY781: $i,SY782: $i,SY783: $i,SY784: $i,SY785: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY778 ) @ ( fun_up1149430426on_val @ SY779 @ SY780 @ ( some_val @ SY781 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY782 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY783 ) @ SY784 ) ) ) @ ( red @ SY785 ) ) )
| ( ( hAPP_l207779698on_val @ SY784 @ SY780 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY780 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY780 @ ( val_list_char @ SY781 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY778 ) @ SY779 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY780 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY780 @ ( val_list_char @ SV108 ) ) @ SY782 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY783 ) @ ( fun_up1149430426on_val @ SY784 @ SY780 @ ( hAPP_l207779698on_val @ SY779 @ SY780 ) ) ) ) ) @ ( red @ SY785 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(689,plain,
! [SV156: $i,SV109: $i,SV44: $i] :
( ( ! [SY786: $i,SY787: $i,SY788: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV44 @ SV109 @ ( seq_list_char @ ( lAss_list_char @ SV44 @ ( val_list_char @ SV156 ) ) @ ( val_list_char @ SY786 ) ) ) ) @ SY787 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SY786 ) ) @ SY787 ) ) @ ( red @ SY788 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[611]) ).
thf(690,plain,
! [SV157: $i,SV110: $i,SV45: $i] :
( ( ! [SY789: $i,SY790: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV45 @ ( val_list_char @ SV110 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV157 ) @ SY789 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV157 ) @ ( fun_up1149430426on_val @ SY789 @ SV45 @ ( some_val @ SV110 ) ) ) ) ) @ ( red @ SY790 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(691,plain,
! [SV158: $i,SV111: $i,SV46: $i] :
( ( ! [SY791: $i,SY792: $i] :
( ( block_list_char @ SV46 @ SV111 @ SV158 )
!= ( lAss_list_char @ SY791 @ SY792 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(692,plain,
! [SV159: $i,SV112: $i,SV47: $i] :
( ( ! [SY793: $i,SY794: $i] :
( ( block_list_char @ SV47 @ SV112 @ SV159 )
!= ( seq_list_char @ SY793 @ SY794 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(693,plain,
! [SV160: $i,SV113: $i,SV48: $i] :
( ( ( ( val_list_char @ SV48 )
!= ( seq_list_char @ SV113 @ SV160 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(694,plain,
! [SV161: $i,SV114: $i,SV49: $i] :
( ( ( ( val_list_char @ SV49 )
!= ( lAss_list_char @ SV114 @ SV161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[616]) ).
thf(695,plain,
! [SV162: $i,SV115: $i,SV50: $i] :
( ( ( ( seq_list_char @ SV50 @ SV115 )
!= ( val_list_char @ SV162 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[617]) ).
thf(696,plain,
! [SV163: $i,SV116: $i,SV51: $i] :
( ( ( ( lAss_list_char @ SV51 @ SV116 )
!= ( val_list_char @ SV163 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(697,plain,
! [SV164: $i,SV117: $i,SV52: $i] :
( ( ! [SY795: $i] :
( ( val_list_char @ SV52 )
!= ( block_list_char @ SV117 @ SV164 @ SY795 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(698,plain,
! [SV165: $i,SV118: $i,SV53: $i] :
( ( ! [SY796: $i] :
( ( block_list_char @ SV53 @ SV118 @ SV165 )
!= ( val_list_char @ SY796 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(699,plain,
! [SV166: $i,SV119: $i,SV54: $i] :
( ( ! [SY797: $i] :
( ( seq_list_char @ SV54 @ SV119 )
!= ( lAss_list_char @ SV166 @ SY797 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[621]) ).
thf(700,plain,
! [SV167: $i,SV120: $i,SV55: $i] :
( ( ! [SY798: $i] :
( ( lAss_list_char @ SV55 @ SV120 )
!= ( seq_list_char @ SV167 @ SY798 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[622]) ).
thf(701,plain,
! [SV168: $i,SV121: $i,SV56: $i] :
( ( ! [SY799: $i,SY800: $i] :
( ( seq_list_char @ SV56 @ SV121 )
!= ( block_list_char @ SV168 @ SY799 @ SY800 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[623]) ).
thf(702,plain,
! [SV169: $i,SV122: $i,SV57: $i] :
( ( ! [SY801: $i,SY802: $i] :
( ( lAss_list_char @ SV57 @ SV122 )
!= ( block_list_char @ SV169 @ SY801 @ SY802 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(703,plain,
! [SV58: $i,SV123: $i,SV170: $i] :
( ( ! [SY803: $i,SY804: $i,SY805: $i,SY806: $i,SY807: $i,SY808: $i,SY809: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY803 ) @ ( fun_up1149430426on_val @ SY804 @ SY805 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY806 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY807 ) @ SY808 ) ) ) @ ( red @ SY809 ) ) )
| ( ( hAPP_l207779698on_val @ SY808 @ SY805 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SY805 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY805 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY803 ) @ SY804 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY805 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SY805 @ ( val_list_char @ SV123 ) ) @ SY806 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY807 ) @ ( fun_up1149430426on_val @ SY808 @ SY805 @ ( hAPP_l207779698on_val @ SY804 @ SY805 ) ) ) ) ) @ ( red @ SY809 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(704,plain,
! [SV61: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
| ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(705,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SX0 ) ) @ ( sK17_SY336 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[629]) ).
thf(706,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK15_X1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[630]) ).
thf(707,plain,
! [SV127: $i,SV62: $i] :
( ( ~ ! [SY683: $i] :
( ! [SY684: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY683 ) @ SY684 ) )
| ( SV62 = SY683 ) )
| ~ ! [SY685: $i,SY686: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY685 ) @ SY686 ) )
| ( SV127 = SY686 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[631]) ).
thf(708,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ! [SY687: $i,SY688: $i] :
( ( SV63 != SY687 )
| ( SV128 != SY688 )
| ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SY687 @ SY688 ) ) )
| ~ ~ ( ~ ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) )
| ~ ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[632]) ).
thf(709,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SX0 ) ) @ ( sK14_SY335 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[633]) ).
thf(710,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK12_X1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[634]) ).
thf(711,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[635]) ).
thf(712,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member840932460on_val @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[636]) ).
thf(713,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
| ~ ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) )
| ~ ~ ( ~ ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) )
| ~ ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[637]) ).
thf(714,plain,
! [SV65: $i] :
( ( ~ ! [SY534: $i,SY535: $i] :
( ( ( fun_up1149430426on_val @ SV65 @ SY534 @ SY535 )
!= SV65 )
| ( ( hAPP_l207779698on_val @ SV65 @ SY534 )
= SY535 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(715,plain,
! [SV65: $i] :
( ( ~ ! [SY536: $i,SY537: $i] :
( ( ( hAPP_l207779698on_val @ SV65 @ SY536 )
!= SY537 )
| ( ( fun_up1149430426on_val @ SV65 @ SY536 @ SY537 )
= SV65 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[638]) ).
thf(716,plain,
! [SV130: $i,SV66: $i] :
( ( ~ ! [SY706: $i,SY707: $i] :
( ( SY706 != SY707 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY707 @ SV130 ) @ SY706 )
= SV130 ) )
| ~ ! [SY708: $i,SY709: $i] :
( ( SY708 = SY709 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY709 @ SV130 ) @ SY708 )
= ( hAPP_l207779698on_val @ SV66 @ SY708 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[639]) ).
thf(717,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[640]) ).
thf(718,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member773094996on_val @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[641]) ).
thf(719,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SX1 @ SX0 ) ) @ ( sK25_SY340 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[642]) ).
thf(720,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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(extcnf_not_neg,[status(thm)],[643]) ).
thf(721,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SX0 ) ) @ ( sK11_SY334 @ SX0 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[644]) ).
thf(722,plain,
( ( ! [SX0: $i] :
( ! [SX1: $i,SX2: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK9_X1 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[645]) ).
thf(723,plain,
! [SV131: $i,SV67: $i] :
( ( ~ ! [SY710: $i] :
( ! [SY711: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY710 ) @ SY711 ) )
| ( SV67 = SY710 ) )
| ~ ! [SY712: $i,SY713: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY712 ) @ SY713 ) )
| ( SV131 = SY713 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[646]) ).
thf(724,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( ( val_list_char @ SX0 )
!= ( val_list_char @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[647]) ).
thf(725,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( SX0 != SX1 )
| ( ( val_list_char @ SX0 )
= ( val_list_char @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[648]) ).
thf(726,plain,
! [SV172: $i,SV132: $i,SV68: $i] :
( ( ! [SY822: $i] :
~ ( ~ ! [SY823: $i,SY824: $i] :
( ( SV68 != SY822 )
| ( SV132 != SY823 )
| ( SV172 != SY824 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SY822 @ SY823 @ SY824 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY825: $i,SY826: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SY822 @ SY825 @ SY826 ) )
| ( SV68 = SY822 ) )
| ~ ! [SY827: $i] :
( ! [SY828: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SY822 @ SY827 @ SY828 ) )
| ( SV132 = SY827 ) ) )
| ~ ! [SY829: $i,SY830: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SY822 @ SY829 @ SY830 ) )
| ( SV172 = SY830 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[649]) ).
thf(727,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ! [SY724: $i,SY725: $i] :
( ( SV69 != SY724 )
| ( SV133 != SY725 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY724 ) @ SY725 ) ) )
| ~ ~ ( ~ ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) )
| ~ ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[650]) ).
thf(728,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( sK47_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SX1 ) @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[651]) ).
thf(729,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SX0 ) ) @ ( sK46_SY356 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[652]) ).
thf(730,plain,
! [SV134: $i,SV70: $i] :
( ( ~ ! [SY730: $i,SY731: $i] :
( ( SY731 != SY730 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY730 @ SV134 ) @ SY731 )
= SV134 ) )
| ~ ! [SY732: $i,SY733: $i] :
( ( SY733 = SY732 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY732 @ SV134 ) @ SY733 )
= ( hAPP_l207779698on_val @ SV70 @ SY733 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[653]) ).
thf(731,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[654]) ).
thf(732,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX1 @ SX0 ) )
| ( hBOOL @ ( member763590124on_val @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(733,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ! [SY734: $i,SY735: $i] :
( ( SV71 != SY734 )
| ( SV135 != SY735 )
| ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SY734 @ SY735 ) ) )
| ~ ~ ( ~ ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) )
| ~ ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[656]) ).
thf(734,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( sK50_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SX1 ) @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[657]) ).
thf(735,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SX0 ) ) @ ( sK49_SY357 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(736,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( sK44_X1 @ SX0 ) ) )
| ! [SX1: $i,SX2: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SX1 ) @ SX2 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[659]) ).
thf(737,plain,
( ( ! [SX0: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SX0 ) ) @ ( sK43_SY355 @ SX0 ) ) ) )
| ! [SX1: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SX0 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[660]) ).
thf(738,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SX1 @ SX0 ) ) @ ( sK27_SY341 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[661]) ).
thf(739,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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(extcnf_not_neg,[status(thm)],[662]) ).
thf(740,plain,
! [SV136: $i,SV72: $i] :
( ( ~ ! [SY740: $i] :
( ! [SY741: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY740 ) @ SY741 ) )
| ( SV72 = SY740 ) )
| ~ ! [SY742: $i,SY743: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY742 ) @ SY743 ) )
| ( SV136 = SY743 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[663]) ).
thf(741,plain,
( ( ! [SX0: $i,SX1: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX1 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SX1 @ SX0 ) ) @ ( sK29_SY342 @ SX1 @ SX0 ) ) @ SX0 ) ) ) )
| ( SX1 = SX0 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[664]) ).
thf(742,plain,
( ( ! [SX0: $i,SX1: $i] :
( ( 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 ) ) )
| ~ ! [SX2: $i,SX3: $i] :
( ~ ( 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(extcnf_not_neg,[status(thm)],[665]) ).
thf(743,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ! [SY744: $i,SY745: $i] :
( ( SV73 != SY744 )
| ( SV137 != SY745 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY744 ) @ SY745 ) ) )
| ~ ~ ( ~ ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) )
| ~ ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[666]) ).
thf(744,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ! [SY750: $i,SY751: $i] :
( ( SV74 != SY750 )
| ( SV138 != SY751 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY750 ) @ SY751 ) ) )
| ~ ~ ( ~ ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) )
| ~ ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[667]) ).
thf(745,plain,
! [SV139: $i,SV77: $i,SV3: $i] :
( ( ( ( ( hAPP_l207779698on_val @ SV3 @ SV77 )
!= ( some_val @ SV139 ) ) )
= $true )
| ( ( ( fun_up1149430426on_val @ SV3 @ SV77 @ ( some_val @ SV139 ) )
= SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(746,plain,
! [SV173: $i,SV140: $i,SV78: $i,SV4: $i] :
( ( ! [SY831: $i] :
( ( ( fun_up1149430426on_val @ SV4 @ SV78 @ ( some_val @ SV140 ) )
!= ( fun_up1149430426on_val @ SV173 @ SV78 @ ( some_val @ SY831 ) ) )
| ( SV140 = SY831 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[669]) ).
thf(747,plain,
! [SV5: $i,SV79: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV79 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK55_A_15 @ SV79 @ SV5 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK56_SY364 @ SV79 @ SV5 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK57_SY367 @ SV79 @ SV5 ) ) @ ( sK58_SY369 @ SV79 @ SV5 ) ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV79 @ SV5 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[670]) ).
thf(748,plain,
! [SV141: $i,SV80: $i,SV7: $i] :
( ( ( ( ( hAPP_l207779698on_val @ SV7 @ SV80 )
!= SV141 ) )
= $true )
| ( ( ( fun_up1149430426on_val @ SV7 @ SV80 @ SV141 )
= SV7 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[671]) ).
thf(749,plain,
! [SV81: $i,SV8: $i,SV174: $i,SV142: $i] :
( ( ( SV142 = SV174 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SV174 @ SV81 ) @ SV142 )
= ( hAPP_l207779698on_val @ SV8 @ SV142 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(750,plain,
! [SV143: $i,SV82: $i,SV9: $i,SV175: $i] :
( ( ! [SY832: $i] :
( ( SV175 = SY832 )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SV175 @ SV82 ) @ SY832 @ SV143 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SY832 @ SV143 ) @ SV175 @ SV82 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[673]) ).
thf(751,plain,
! [SV176: $i,SV145: $i,SV84: $i,SV11: $i] :
( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV11 @ SV84 @ SV145 ) @ SV84 @ SV176 )
= ( fun_up1149430426on_val @ SV11 @ SV84 @ SV176 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(752,plain,
! [SV15: $i,SV86: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK33_A_15 @ SV86 @ SV15 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK34_SY346 @ SV86 @ SV15 ) ) @ ( sK35_SY348 @ SV86 @ SV15 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV86 @ SV15 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[676]) ).
thf(753,plain,
! [SV16: $i,SV87: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV87 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK30_A_15 @ SV87 @ SV16 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK31_SY343 @ SV87 @ SV16 ) ) @ ( sK32_SY345 @ SV87 @ SV16 ) ) ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV87 @ SV16 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[677]) ).
thf(754,plain,
! [SV20: $i,SV177: $i,SV146: $i,SV88: $i] :
( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV177 ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV177 @ SV20 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV20 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[678]) ).
thf(755,plain,
! [SV89: $i,SV24: $i,SV178: $i,SV147: $i] :
( ( ! [SY833: $i,SY834: $i] :
( ! [SY835: $i] :
~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SY833 @ SY834 @ SY835 ) )
| ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SY833 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SY833 @ ( seq_list_char @ SY834 @ SV24 ) @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(756,plain,
! [SV25: $i,SV179: $i,SV148: $i,SV90: $i] :
( ( ! [SY836: $i,SY837: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SY836 ) ) @ ( red @ SY837 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV179 @ SV25 ) ) @ SY836 ) ) @ ( red @ SY837 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[680]) ).
thf(757,plain,
! [SV26: $i,SV180: $i,SV149: $i,SV91: $i] :
( ( ! [SY838: $i,SY839: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV180 ) @ SY838 ) ) @ ( red @ SY839 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV180 ) ) @ SY838 ) ) @ ( red @ SY839 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(758,plain,
! [SV181: $i,SV150: $i,SV92: $i,SV27: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ ( val_list_char @ SV27 ) @ SV92 ) ) @ SV150 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV92 ) @ SV150 ) ) @ ( red @ SV181 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(759,plain,
! [SV182: $i,SV151: $i,SV93: $i,SV28: $i] :
( ( ! [SY840: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV28 @ SV93 @ ( val_list_char @ SV151 ) ) ) @ SV182 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV151 ) ) @ SV182 ) ) @ ( red @ SY840 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(760,plain,
! [SV152: $i,SV94: $i,SV29: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV29 @ SV94 @ ( some_val @ SV152 ) ) @ ( sK2_X @ SV152 @ SV94 @ SV29 ) )
= none_val )
= $false ),
inference(extcnf_not_pos,[status(thm)],[684]) ).
thf(761,plain,
! [SV183: $i,SV154: $i,SV98: $i,SV33: $i] :
( ( ! [SY841: $i] : ( is_bool @ ( wTrt @ SV33 @ SV98 @ SV154 @ SV183 @ SY841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(762,plain,
! [SV34: $i,SV99: $i] :
( ( ( is_bool @ SV99 )
= $false )
| ( ( is_bool @ ( hAPP_bool_bool @ SV34 @ SV99 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[687]) ).
thf(763,plain,
! [SV43: $i,SV108: $i,SV184: $i,SV155: $i] :
( ( ! [SY842: $i,SY843: $i,SY844: $i,SY845: $i,SY846: $i,SY847: $i,SY848: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SY842 @ SY843 @ ( some_val @ SY844 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY845 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY846 ) @ SY847 ) ) ) @ ( red @ SY848 ) ) )
| ( ( hAPP_l207779698on_val @ SY847 @ SY843 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY843 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY843 @ ( val_list_char @ SY844 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SY842 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY843 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY843 @ ( val_list_char @ SV108 ) ) @ SY845 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY846 ) @ ( fun_up1149430426on_val @ SY847 @ SY843 @ ( hAPP_l207779698on_val @ SY842 @ SY843 ) ) ) ) ) @ ( red @ SY848 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(764,plain,
! [SV185: $i,SV156: $i,SV109: $i,SV44: $i] :
( ( ! [SY849: $i,SY850: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV44 @ SV109 @ ( seq_list_char @ ( lAss_list_char @ SV44 @ ( val_list_char @ SV156 ) ) @ ( val_list_char @ SV185 ) ) ) ) @ SY849 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV185 ) ) @ SY849 ) ) @ ( red @ SY850 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[689]) ).
thf(765,plain,
! [SV186: $i,SV157: $i,SV110: $i,SV45: $i] :
( ( ! [SY851: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV45 @ ( val_list_char @ SV110 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV157 ) @ SV186 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV157 ) @ ( fun_up1149430426on_val @ SV186 @ SV45 @ ( some_val @ SV110 ) ) ) ) ) @ ( red @ SY851 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(766,plain,
! [SV187: $i,SV158: $i,SV111: $i,SV46: $i] :
( ( ! [SY852: $i] :
( ( block_list_char @ SV46 @ SV111 @ SV158 )
!= ( lAss_list_char @ SV187 @ SY852 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[691]) ).
thf(767,plain,
! [SV188: $i,SV159: $i,SV112: $i,SV47: $i] :
( ( ! [SY853: $i] :
( ( block_list_char @ SV47 @ SV112 @ SV159 )
!= ( seq_list_char @ SV188 @ SY853 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(768,plain,
! [SV160: $i,SV113: $i,SV48: $i] :
( ( ( val_list_char @ SV48 )
= ( seq_list_char @ SV113 @ SV160 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[693]) ).
thf(769,plain,
! [SV161: $i,SV114: $i,SV49: $i] :
( ( ( val_list_char @ SV49 )
= ( lAss_list_char @ SV114 @ SV161 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[694]) ).
thf(770,plain,
! [SV162: $i,SV115: $i,SV50: $i] :
( ( ( seq_list_char @ SV50 @ SV115 )
= ( val_list_char @ SV162 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[695]) ).
thf(771,plain,
! [SV163: $i,SV116: $i,SV51: $i] :
( ( ( lAss_list_char @ SV51 @ SV116 )
= ( val_list_char @ SV163 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[696]) ).
thf(772,plain,
! [SV189: $i,SV164: $i,SV117: $i,SV52: $i] :
( ( ( ( val_list_char @ SV52 )
!= ( block_list_char @ SV117 @ SV164 @ SV189 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(773,plain,
! [SV190: $i,SV165: $i,SV118: $i,SV53: $i] :
( ( ( ( block_list_char @ SV53 @ SV118 @ SV165 )
!= ( val_list_char @ SV190 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[698]) ).
thf(774,plain,
! [SV191: $i,SV166: $i,SV119: $i,SV54: $i] :
( ( ( ( seq_list_char @ SV54 @ SV119 )
!= ( lAss_list_char @ SV166 @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(775,plain,
! [SV192: $i,SV167: $i,SV120: $i,SV55: $i] :
( ( ( ( lAss_list_char @ SV55 @ SV120 )
!= ( seq_list_char @ SV167 @ SV192 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[700]) ).
thf(776,plain,
! [SV193: $i,SV168: $i,SV121: $i,SV56: $i] :
( ( ! [SY854: $i] :
( ( seq_list_char @ SV56 @ SV121 )
!= ( block_list_char @ SV168 @ SV193 @ SY854 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[701]) ).
thf(777,plain,
! [SV194: $i,SV169: $i,SV122: $i,SV57: $i] :
( ( ! [SY855: $i] :
( ( lAss_list_char @ SV57 @ SV122 )
!= ( block_list_char @ SV169 @ SV194 @ SY855 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[702]) ).
thf(778,plain,
! [SV58: $i,SV123: $i,SV195: $i,SV170: $i] :
( ( ! [SY856: $i,SY857: $i,SY858: $i,SY859: $i,SY860: $i,SY861: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SY856 @ SY857 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY858 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY859 ) @ SY860 ) ) ) @ ( red @ SY861 ) ) )
| ( ( hAPP_l207779698on_val @ SY860 @ SY857 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SY857 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY857 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SY856 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY857 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SY857 @ ( val_list_char @ SV123 ) ) @ SY858 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY859 ) @ ( fun_up1149430426on_val @ SY860 @ SY857 @ ( hAPP_l207779698on_val @ SY856 @ SY857 ) ) ) ) ) @ ( red @ SY861 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(779,plain,
! [SV61: $i,SV126: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false )
| ( ( ~ ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
| ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[704]) ).
thf(780,plain,
! [SV196: $i] :
( ( ! [SY862: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ SY862 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SV196 ) ) @ ( sK17_SY336 @ SV196 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[705]) ).
thf(781,plain,
! [SV197: $i] :
( ( ! [SY863: $i,SY864: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY863 ) @ SY864 ) ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( sK15_X1 @ SV197 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[706]) ).
thf(782,plain,
! [SV127: $i,SV62: $i] :
( ( ~ ! [SY683: $i] :
( ! [SY684: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY683 ) @ SY684 ) )
| ( SV62 = SY683 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(783,plain,
! [SV127: $i,SV62: $i] :
( ( ~ ! [SY685: $i,SY686: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY685 ) @ SY686 ) )
| ( SV127 = SY686 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[707]) ).
thf(784,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ! [SY687: $i,SY688: $i] :
( ( SV63 != SY687 )
| ( SV128 != SY688 )
| ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SY687 @ SY688 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(785,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ~ ( ~ ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) )
| ~ ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[708]) ).
thf(786,plain,
! [SV198: $i] :
( ( ! [SY865: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ SY865 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SV198 ) ) @ ( sK14_SY335 @ SV198 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(787,plain,
! [SV199: $i] :
( ( ! [SY866: $i,SY867: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY866 ) @ SY867 ) ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( sK12_X1 @ SV199 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(788,plain,
! [SV200: $i] :
( ( ! [SY868: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ SV200 @ SY868 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SY868 @ SV200 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[711]) ).
thf(789,plain,
! [SV201: $i] :
( ( ! [SY869: $i] :
( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SY869 @ SV201 ) )
| ( hBOOL @ ( member840932460on_val @ SV201 @ SY869 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(790,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
| ~ ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) )
| ~ ~ ( ~ ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) )
| ~ ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(791,plain,
! [SV65: $i] :
( ( ! [SY534: $i,SY535: $i] :
( ( ( fun_up1149430426on_val @ SV65 @ SY534 @ SY535 )
!= SV65 )
| ( ( hAPP_l207779698on_val @ SV65 @ SY534 )
= SY535 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[714]) ).
thf(792,plain,
! [SV65: $i] :
( ( ! [SY536: $i,SY537: $i] :
( ( ( hAPP_l207779698on_val @ SV65 @ SY536 )
!= SY537 )
| ( ( fun_up1149430426on_val @ SV65 @ SY536 @ SY537 )
= SV65 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[715]) ).
thf(793,plain,
! [SV130: $i,SV66: $i] :
( ( ~ ! [SY706: $i,SY707: $i] :
( ( SY706 != SY707 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY707 @ SV130 ) @ SY706 )
= SV130 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(794,plain,
! [SV130: $i,SV66: $i] :
( ( ~ ! [SY708: $i,SY709: $i] :
( ( SY708 = SY709 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY709 @ SV130 ) @ SY708 )
= ( hAPP_l207779698on_val @ SV66 @ SY708 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[716]) ).
thf(795,plain,
! [SV202: $i] :
( ( ! [SY870: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ SV202 @ SY870 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SY870 @ SV202 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[717]) ).
thf(796,plain,
! [SV203: $i] :
( ( ! [SY871: $i] :
( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SY871 @ SV203 ) )
| ( hBOOL @ ( member773094996on_val @ SV203 @ SY871 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[718]) ).
thf(797,plain,
! [SV204: $i] :
( ( ! [SY872: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SY872 @ SV204 ) ) @ ( sK25_SY340 @ SY872 @ SV204 ) ) @ SY872 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SY872 @ SV204 ) ) @ ( sK25_SY340 @ SY872 @ SV204 ) ) @ SV204 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SY872 @ SV204 ) ) @ ( sK25_SY340 @ SY872 @ SV204 ) ) @ SY872 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SY872 @ SV204 ) ) @ ( sK25_SY340 @ SY872 @ SV204 ) ) @ SV204 ) ) ) )
| ( SY872 = SV204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[719]) ).
thf(798,plain,
! [SV205: $i] :
( ( ! [SY873: $i] :
( ( SY873 != SV205 )
| ~ ( ~ ! [SY874: $i,SY875: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY874 ) @ SY875 ) @ SY873 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY874 ) @ SY875 ) @ SV205 ) ) )
| ~ ! [SY876: $i,SY877: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY876 ) @ SY877 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY876 ) @ SY877 ) @ SY873 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(799,plain,
! [SV206: $i] :
( ( ! [SY878: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ SY878 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SV206 ) ) @ ( sK11_SY334 @ SV206 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(800,plain,
! [SV207: $i] :
( ( ! [SY879: $i,SY880: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY879 ) @ SY880 ) ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( sK9_X1 @ SV207 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[722]) ).
thf(801,plain,
! [SV131: $i,SV67: $i] :
( ( ~ ! [SY710: $i] :
( ! [SY711: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY710 ) @ SY711 ) )
| ( SV67 = SY710 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(802,plain,
! [SV131: $i,SV67: $i] :
( ( ~ ! [SY712: $i,SY713: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY712 ) @ SY713 ) )
| ( SV131 = SY713 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[723]) ).
thf(803,plain,
! [SV208: $i] :
( ( ! [SY881: $i] :
( ( ( val_list_char @ SV208 )
!= ( val_list_char @ SY881 ) )
| ( SV208 = SY881 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[724]) ).
thf(804,plain,
! [SV209: $i] :
( ( ! [SY882: $i] :
( ( SV209 != SY882 )
| ( ( val_list_char @ SV209 )
= ( val_list_char @ SY882 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(805,plain,
! [SV172: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ~ ( ~ ! [SY883: $i,SY884: $i] :
( ( SV68 != SV210 )
| ( SV132 != SY883 )
| ( SV172 != SY884 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SY883 @ SY884 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
| ~ ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[726]) ).
thf(806,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ! [SY724: $i,SY725: $i] :
( ( SV69 != SY724 )
| ( SV133 != SY725 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY724 ) @ SY725 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(807,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ~ ( ~ ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) )
| ~ ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[727]) ).
thf(808,plain,
! [SV211: $i] :
( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( sK47_X1 @ SV211 ) ) )
| ! [SY891: $i,SY892: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY891 ) @ SY892 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[728]) ).
thf(809,plain,
! [SV212: $i] :
( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SV212 ) ) @ ( sK46_SY356 @ SV212 ) ) ) )
| ! [SY893: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ SY893 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[729]) ).
thf(810,plain,
! [SV134: $i,SV70: $i] :
( ( ~ ! [SY730: $i,SY731: $i] :
( ( SY731 != SY730 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY730 @ SV134 ) @ SY731 )
= SV134 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(811,plain,
! [SV134: $i,SV70: $i] :
( ( ~ ! [SY732: $i,SY733: $i] :
( ( SY733 = SY732 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY732 @ SV134 ) @ SY733 )
= ( hAPP_l207779698on_val @ SV70 @ SY733 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[730]) ).
thf(812,plain,
! [SV213: $i] :
( ( ! [SY894: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ SV213 @ SY894 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SY894 @ SV213 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(813,plain,
! [SV214: $i] :
( ( ! [SY895: $i] :
( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SY895 @ SV214 ) )
| ( hBOOL @ ( member763590124on_val @ SV214 @ SY895 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[732]) ).
thf(814,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ! [SY734: $i,SY735: $i] :
( ( SV71 != SY734 )
| ( SV135 != SY735 )
| ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SY734 @ SY735 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(815,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ~ ( ~ ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) )
| ~ ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[733]) ).
thf(816,plain,
! [SV215: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( sK50_X1 @ SV215 ) ) )
| ! [SY896: $i,SY897: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY896 ) @ SY897 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(817,plain,
! [SV216: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SV216 ) ) @ ( sK49_SY357 @ SV216 ) ) ) )
| ! [SY898: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ SY898 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(818,plain,
! [SV217: $i] :
( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( sK44_X1 @ SV217 ) ) )
| ! [SY899: $i,SY900: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY899 ) @ SY900 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[736]) ).
thf(819,plain,
! [SV218: $i] :
( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SV218 ) ) @ ( sK43_SY355 @ SV218 ) ) ) )
| ! [SY901: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ SY901 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(820,plain,
! [SV219: $i] :
( ( ! [SY902: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SY902 @ SV219 ) ) @ ( sK27_SY341 @ SY902 @ SV219 ) ) @ SY902 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SY902 @ SV219 ) ) @ ( sK27_SY341 @ SY902 @ SV219 ) ) @ SV219 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SY902 @ SV219 ) ) @ ( sK27_SY341 @ SY902 @ SV219 ) ) @ SY902 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SY902 @ SV219 ) ) @ ( sK27_SY341 @ SY902 @ SV219 ) ) @ SV219 ) ) ) )
| ( SY902 = SV219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[738]) ).
thf(821,plain,
! [SV220: $i] :
( ( ! [SY903: $i] :
( ( SY903 != SV220 )
| ~ ( ~ ! [SY904: $i,SY905: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY904 ) @ SY905 ) @ SY903 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY904 ) @ SY905 ) @ SV220 ) ) )
| ~ ! [SY906: $i,SY907: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY906 ) @ SY907 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY906 ) @ SY907 ) @ SY903 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(822,plain,
! [SV136: $i,SV72: $i] :
( ( ~ ! [SY740: $i] :
( ! [SY741: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY740 ) @ SY741 ) )
| ( SV72 = SY740 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(823,plain,
! [SV136: $i,SV72: $i] :
( ( ~ ! [SY742: $i,SY743: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY742 ) @ SY743 ) )
| ( SV136 = SY743 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[740]) ).
thf(824,plain,
! [SV221: $i] :
( ( ! [SY908: $i] :
( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SY908 @ SV221 ) ) @ ( sK29_SY342 @ SY908 @ SV221 ) ) @ SY908 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SY908 @ SV221 ) ) @ ( sK29_SY342 @ SY908 @ SV221 ) ) @ SV221 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SY908 @ SV221 ) ) @ ( sK29_SY342 @ SY908 @ SV221 ) ) @ SY908 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SY908 @ SV221 ) ) @ ( sK29_SY342 @ SY908 @ SV221 ) ) @ SV221 ) ) ) )
| ( SY908 = SV221 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[741]) ).
thf(825,plain,
! [SV222: $i] :
( ( ! [SY909: $i] :
( ( SY909 != SV222 )
| ~ ( ~ ! [SY910: $i,SY911: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY910 ) @ SY911 ) @ SY909 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY910 ) @ SY911 ) @ SV222 ) ) )
| ~ ! [SY912: $i,SY913: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY912 ) @ SY913 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY912 ) @ SY913 ) @ SY909 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[742]) ).
thf(826,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ! [SY744: $i,SY745: $i] :
( ( SV73 != SY744 )
| ( SV137 != SY745 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY744 ) @ SY745 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(827,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ~ ( ~ ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) )
| ~ ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[743]) ).
thf(828,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ! [SY750: $i,SY751: $i] :
( ( SV74 != SY750 )
| ( SV138 != SY751 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY750 ) @ SY751 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(829,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ~ ( ~ ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) )
| ~ ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[744]) ).
thf(830,plain,
! [SV139: $i,SV77: $i,SV3: $i] :
( ( ( ( hAPP_l207779698on_val @ SV3 @ SV77 )
= ( some_val @ SV139 ) )
= $false )
| ( ( ( fun_up1149430426on_val @ SV3 @ SV77 @ ( some_val @ SV139 ) )
= SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[745]) ).
thf(831,plain,
! [SV223: $i,SV173: $i,SV140: $i,SV78: $i,SV4: $i] :
( ( ( ( fun_up1149430426on_val @ SV4 @ SV78 @ ( some_val @ SV140 ) )
!= ( fun_up1149430426on_val @ SV173 @ SV78 @ ( some_val @ SV223 ) ) )
| ( SV140 = SV223 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[746]) ).
thf(832,plain,
! [SV141: $i,SV80: $i,SV7: $i] :
( ( ( ( hAPP_l207779698on_val @ SV7 @ SV80 )
= SV141 )
= $false )
| ( ( ( fun_up1149430426on_val @ SV7 @ SV80 @ SV141 )
= SV7 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(833,plain,
! [SV81: $i,SV8: $i,SV174: $i,SV142: $i] :
( ( ( SV142 = SV174 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV8 @ SV174 @ SV81 ) @ SV142 )
= ( hAPP_l207779698on_val @ SV8 @ SV142 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[749]) ).
thf(834,plain,
! [SV143: $i,SV82: $i,SV9: $i,SV224: $i,SV175: $i] :
( ( ( SV175 = SV224 )
| ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SV175 @ SV82 ) @ SV224 @ SV143 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SV224 @ SV143 ) @ SV175 @ SV82 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[750]) ).
thf(835,plain,
! [SV20: $i,SV177: $i,SV146: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV177 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV177 @ SV20 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV20 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[754]) ).
thf(836,plain,
! [SV89: $i,SV24: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ! [SY914: $i] :
( ! [SY915: $i] :
~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SY914 @ SY915 ) )
| ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SY914 @ SV24 ) @ SV89 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(837,plain,
! [SV25: $i,SV226: $i,SV179: $i,SV148: $i,SV90: $i] :
( ( ! [SY916: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV226 ) ) @ ( red @ SY916 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV179 @ SV25 ) ) @ SV226 ) ) @ ( red @ SY916 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[756]) ).
thf(838,plain,
! [SV26: $i,SV227: $i,SV180: $i,SV149: $i,SV91: $i] :
( ( ! [SY917: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV180 ) @ SV227 ) ) @ ( red @ SY917 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV180 ) ) @ SV227 ) ) @ ( red @ SY917 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[757]) ).
thf(839,plain,
! [SV228: $i,SV182: $i,SV151: $i,SV93: $i,SV28: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV28 @ SV93 @ ( val_list_char @ SV151 ) ) ) @ SV182 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV151 ) ) @ SV182 ) ) @ ( red @ SV228 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[759]) ).
thf(840,plain,
! [SV229: $i,SV183: $i,SV154: $i,SV98: $i,SV33: $i] :
( ( is_bool @ ( wTrt @ SV33 @ SV98 @ SV154 @ SV183 @ SV229 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(841,plain,
! [SV43: $i,SV108: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ! [SY918: $i,SY919: $i,SY920: $i,SY921: $i,SY922: $i,SY923: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SY918 @ ( some_val @ SY919 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY920 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY921 ) @ SY922 ) ) ) @ ( red @ SY923 ) ) )
| ( ( hAPP_l207779698on_val @ SY922 @ SY918 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY918 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY918 @ ( val_list_char @ SY919 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY918 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SY918 @ ( val_list_char @ SV108 ) ) @ SY920 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY921 ) @ ( fun_up1149430426on_val @ SY922 @ SY918 @ ( hAPP_l207779698on_val @ SV230 @ SY918 ) ) ) ) ) @ ( red @ SY923 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(842,plain,
! [SV231: $i,SV185: $i,SV156: $i,SV109: $i,SV44: $i] :
( ( ! [SY924: $i] : ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV44 @ SV109 @ ( seq_list_char @ ( lAss_list_char @ SV44 @ ( val_list_char @ SV156 ) ) @ ( val_list_char @ SV185 ) ) ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV185 ) ) @ SV231 ) ) @ ( red @ SY924 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(843,plain,
! [SV232: $i,SV186: $i,SV157: $i,SV110: $i,SV45: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV45 @ ( val_list_char @ SV110 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV157 ) @ SV186 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ unit ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV157 ) @ ( fun_up1149430426on_val @ SV186 @ SV45 @ ( some_val @ SV110 ) ) ) ) ) @ ( red @ SV232 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(844,plain,
! [SV233: $i,SV187: $i,SV158: $i,SV111: $i,SV46: $i] :
( ( ( ( block_list_char @ SV46 @ SV111 @ SV158 )
!= ( lAss_list_char @ SV187 @ SV233 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(845,plain,
! [SV234: $i,SV188: $i,SV159: $i,SV112: $i,SV47: $i] :
( ( ( ( block_list_char @ SV47 @ SV112 @ SV159 )
!= ( seq_list_char @ SV188 @ SV234 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[767]) ).
thf(846,plain,
! [SV189: $i,SV164: $i,SV117: $i,SV52: $i] :
( ( ( val_list_char @ SV52 )
= ( block_list_char @ SV117 @ SV164 @ SV189 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(847,plain,
! [SV190: $i,SV165: $i,SV118: $i,SV53: $i] :
( ( ( block_list_char @ SV53 @ SV118 @ SV165 )
= ( val_list_char @ SV190 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[773]) ).
thf(848,plain,
! [SV191: $i,SV166: $i,SV119: $i,SV54: $i] :
( ( ( seq_list_char @ SV54 @ SV119 )
= ( lAss_list_char @ SV166 @ SV191 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[774]) ).
thf(849,plain,
! [SV192: $i,SV167: $i,SV120: $i,SV55: $i] :
( ( ( lAss_list_char @ SV55 @ SV120 )
= ( seq_list_char @ SV167 @ SV192 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[775]) ).
thf(850,plain,
! [SV235: $i,SV193: $i,SV168: $i,SV121: $i,SV56: $i] :
( ( ( ( seq_list_char @ SV56 @ SV121 )
!= ( block_list_char @ SV168 @ SV193 @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[776]) ).
thf(851,plain,
! [SV236: $i,SV194: $i,SV169: $i,SV122: $i,SV57: $i] :
( ( ( ( lAss_list_char @ SV57 @ SV122 )
!= ( block_list_char @ SV169 @ SV194 @ SV236 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[777]) ).
thf(852,plain,
! [SV58: $i,SV123: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ! [SY925: $i,SY926: $i,SY927: $i,SY928: $i,SY929: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SY925 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY926 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY927 ) @ SY928 ) ) ) @ ( red @ SY929 ) ) )
| ( ( hAPP_l207779698on_val @ SY928 @ SY925 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SY925 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY925 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SY925 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SY925 @ ( val_list_char @ SV123 ) ) @ SY926 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY927 ) @ ( fun_up1149430426on_val @ SY928 @ SY925 @ ( hAPP_l207779698on_val @ SV237 @ SY925 ) ) ) ) ) @ ( red @ SY929 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(853,plain,
! [SV61: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) ) )
= $true )
| ( ( ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(854,plain,
! [SV196: $i] :
( ( ( ! [SY862: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ SY862 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SV196 ) ) @ ( sK17_SY336 @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[780]) ).
thf(855,plain,
! [SV197: $i] :
( ( ( ! [SY863: $i,SY864: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY863 ) @ SY864 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( sK15_X1 @ SV197 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[781]) ).
thf(856,plain,
! [SV127: $i,SV62: $i] :
( ( ! [SY683: $i] :
( ! [SY684: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY683 ) @ SY684 ) )
| ( SV62 = SY683 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[782]) ).
thf(857,plain,
! [SV127: $i,SV62: $i] :
( ( ! [SY685: $i,SY686: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY685 ) @ SY686 ) )
| ( SV127 = SY686 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[783]) ).
thf(858,plain,
! [SV128: $i,SV63: $i] :
( ( ! [SY687: $i,SY688: $i] :
( ( SV63 != SY687 )
| ( SV128 != SY688 )
| ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SY687 @ SY688 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[784]) ).
thf(859,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ( ~ ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) )
| ~ ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[785]) ).
thf(860,plain,
! [SV198: $i] :
( ( ( ! [SY865: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ SY865 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SV198 ) ) @ ( sK14_SY335 @ SV198 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[786]) ).
thf(861,plain,
! [SV199: $i] :
( ( ( ! [SY866: $i,SY867: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY866 ) @ SY867 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( sK12_X1 @ SV199 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[787]) ).
thf(862,plain,
! [SV238: $i,SV200: $i] :
( ( ~ ( hBOOL @ ( member840932460on_val @ SV200 @ SV238 ) )
| ( hBOOL @ ( hAPP_P1708370145l_bool @ SV238 @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[788]) ).
thf(863,plain,
! [SV201: $i,SV239: $i] :
( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV239 @ SV201 ) )
| ( hBOOL @ ( member840932460on_val @ SV201 @ SV239 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(864,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ~ ( ~ ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
| ~ ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(865,plain,
! [SV64: $i,SV171: $i,SV129: $i] :
( ( ~ ~ ( ~ ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) )
| ~ ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[790]) ).
thf(866,plain,
! [SV240: $i,SV65: $i] :
( ( ! [SY930: $i] :
( ( ( fun_up1149430426on_val @ SV65 @ SV240 @ SY930 )
!= SV65 )
| ( ( hAPP_l207779698on_val @ SV65 @ SV240 )
= SY930 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[791]) ).
thf(867,plain,
! [SV241: $i,SV65: $i] :
( ( ! [SY931: $i] :
( ( ( hAPP_l207779698on_val @ SV65 @ SV241 )
!= SY931 )
| ( ( fun_up1149430426on_val @ SV65 @ SV241 @ SY931 )
= SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[792]) ).
thf(868,plain,
! [SV130: $i,SV66: $i] :
( ( ! [SY706: $i,SY707: $i] :
( ( SY706 != SY707 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY707 @ SV130 ) @ SY706 )
= SV130 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[793]) ).
thf(869,plain,
! [SV130: $i,SV66: $i] :
( ( ! [SY708: $i,SY709: $i] :
( ( SY708 = SY709 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY709 @ SV130 ) @ SY708 )
= ( hAPP_l207779698on_val @ SV66 @ SY708 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[794]) ).
thf(870,plain,
! [SV242: $i,SV202: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ SV202 @ SV242 ) )
| ( hBOOL @ ( hAPP_P282169671l_bool @ SV242 @ SV202 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[795]) ).
thf(871,plain,
! [SV203: $i,SV243: $i] :
( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV243 @ SV203 ) )
| ( hBOOL @ ( member773094996on_val @ SV203 @ SV243 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[796]) ).
thf(872,plain,
! [SV204: $i,SV244: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) ) )
| ( SV244 = SV204 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[797]) ).
thf(873,plain,
! [SV205: $i,SV245: $i] :
( ( ( SV245 != SV205 )
| ~ ( ~ ! [SY932: $i,SY933: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV205 ) ) )
| ~ ! [SY934: $i,SY935: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV245 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[798]) ).
thf(874,plain,
! [SV206: $i] :
( ( ( ! [SY878: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ SY878 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SV206 ) ) @ ( sK11_SY334 @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(875,plain,
! [SV207: $i] :
( ( ( ! [SY879: $i,SY880: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY879 ) @ SY880 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( sK9_X1 @ SV207 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[800]) ).
thf(876,plain,
! [SV131: $i,SV67: $i] :
( ( ! [SY710: $i] :
( ! [SY711: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY710 ) @ SY711 ) )
| ( SV67 = SY710 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[801]) ).
thf(877,plain,
! [SV131: $i,SV67: $i] :
( ( ! [SY712: $i,SY713: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY712 ) @ SY713 ) )
| ( SV131 = SY713 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[802]) ).
thf(878,plain,
! [SV246: $i,SV208: $i] :
( ( ( ( val_list_char @ SV208 )
!= ( val_list_char @ SV246 ) )
| ( SV208 = SV246 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(879,plain,
! [SV247: $i,SV209: $i] :
( ( ( SV209 != SV247 )
| ( ( val_list_char @ SV209 )
= ( val_list_char @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[804]) ).
thf(880,plain,
! [SV172: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ~ ! [SY883: $i,SY884: $i] :
( ( SV68 != SV210 )
| ( SV132 != SY883 )
| ( SV172 != SY884 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SY883 @ SY884 ) ) )
| ~ ~ ( ~ ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
| ~ ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[805]) ).
thf(881,plain,
! [SV133: $i,SV69: $i] :
( ( ! [SY724: $i,SY725: $i] :
( ( SV69 != SY724 )
| ( SV133 != SY725 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY724 ) @ SY725 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[806]) ).
thf(882,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ( ~ ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) )
| ~ ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[807]) ).
thf(883,plain,
! [SV211: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( sK47_X1 @ SV211 ) ) ) )
= $true )
| ( ( ! [SY891: $i,SY892: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY891 ) @ SY892 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[808]) ).
thf(884,plain,
! [SV212: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SV212 ) ) @ ( sK46_SY356 @ SV212 ) ) ) ) )
= $true )
| ( ( ! [SY893: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ SY893 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[809]) ).
thf(885,plain,
! [SV134: $i,SV70: $i] :
( ( ! [SY730: $i,SY731: $i] :
( ( SY731 != SY730 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY730 @ SV134 ) @ SY731 )
= SV134 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[810]) ).
thf(886,plain,
! [SV134: $i,SV70: $i] :
( ( ! [SY732: $i,SY733: $i] :
( ( SY733 = SY732 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SY732 @ SV134 ) @ SY733 )
= ( hAPP_l207779698on_val @ SV70 @ SY733 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[811]) ).
thf(887,plain,
! [SV248: $i,SV213: $i] :
( ( ~ ( hBOOL @ ( member763590124on_val @ SV213 @ SV248 ) )
| ( hBOOL @ ( hAPP_P159683425l_bool @ SV248 @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[812]) ).
thf(888,plain,
! [SV214: $i,SV249: $i] :
( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV249 @ SV214 ) )
| ( hBOOL @ ( member763590124on_val @ SV214 @ SV249 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[813]) ).
thf(889,plain,
! [SV135: $i,SV71: $i] :
( ( ! [SY734: $i,SY735: $i] :
( ( SV71 != SY734 )
| ( SV135 != SY735 )
| ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SY734 @ SY735 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[814]) ).
thf(890,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ( ~ ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) )
| ~ ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[815]) ).
thf(891,plain,
! [SV215: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( sK50_X1 @ SV215 ) ) ) )
= $true )
| ( ( ! [SY896: $i,SY897: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY896 ) @ SY897 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[816]) ).
thf(892,plain,
! [SV216: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SV216 ) ) @ ( sK49_SY357 @ SV216 ) ) ) ) )
= $true )
| ( ( ! [SY898: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ SY898 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[817]) ).
thf(893,plain,
! [SV217: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( sK44_X1 @ SV217 ) ) ) )
= $true )
| ( ( ! [SY899: $i,SY900: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY899 ) @ SY900 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(894,plain,
! [SV218: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SV218 ) ) @ ( sK43_SY355 @ SV218 ) ) ) ) )
= $true )
| ( ( ! [SY901: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ SY901 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[819]) ).
thf(895,plain,
! [SV219: $i,SV250: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) ) )
| ( SV250 = SV219 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[820]) ).
thf(896,plain,
! [SV220: $i,SV251: $i] :
( ( ( SV251 != SV220 )
| ~ ( ~ ! [SY936: $i,SY937: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV220 ) ) )
| ~ ! [SY938: $i,SY939: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV251 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(897,plain,
! [SV136: $i,SV72: $i] :
( ( ! [SY740: $i] :
( ! [SY741: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY740 ) @ SY741 ) )
| ( SV72 = SY740 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[822]) ).
thf(898,plain,
! [SV136: $i,SV72: $i] :
( ( ! [SY742: $i,SY743: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY742 ) @ SY743 ) )
| ( SV136 = SY743 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[823]) ).
thf(899,plain,
! [SV221: $i,SV252: $i] :
( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) ) )
| ( SV252 = SV221 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(900,plain,
! [SV222: $i,SV253: $i] :
( ( ( SV253 != SV222 )
| ~ ( ~ ! [SY940: $i,SY941: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV222 ) ) )
| ~ ! [SY942: $i,SY943: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV253 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[825]) ).
thf(901,plain,
! [SV137: $i,SV73: $i] :
( ( ! [SY744: $i,SY745: $i] :
( ( SV73 != SY744 )
| ( SV137 != SY745 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY744 ) @ SY745 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[826]) ).
thf(902,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ( ~ ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) )
| ~ ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[827]) ).
thf(903,plain,
! [SV138: $i,SV74: $i] :
( ( ! [SY750: $i,SY751: $i] :
( ( SV74 != SY750 )
| ( SV138 != SY751 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY750 ) @ SY751 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[828]) ).
thf(904,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ( ~ ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) )
| ~ ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[829]) ).
thf(905,plain,
! [SV223: $i,SV173: $i,SV140: $i,SV78: $i,SV4: $i] :
( ( ( ( ( fun_up1149430426on_val @ SV4 @ SV78 @ ( some_val @ SV140 ) )
!= ( fun_up1149430426on_val @ SV173 @ SV78 @ ( some_val @ SV223 ) ) ) )
= $true )
| ( ( SV140 = SV223 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[831]) ).
thf(906,plain,
! [SV143: $i,SV82: $i,SV9: $i,SV224: $i,SV175: $i] :
( ( ( SV175 = SV224 )
= $true )
| ( ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SV175 @ SV82 ) @ SV224 @ SV143 )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ SV9 @ SV224 @ SV143 ) @ SV175 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[834]) ).
thf(907,plain,
! [SV20: $i,SV177: $i,SV146: $i,SV88: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV177 ) )
= $false )
| ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV177 @ SV20 ) )
| ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV20 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[835]) ).
thf(908,plain,
! [SV89: $i,SV24: $i,SV254: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ! [SY944: $i] :
~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV254 @ SY944 ) )
| ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SV254 @ SV24 ) @ SV89 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(909,plain,
! [SV25: $i,SV255: $i,SV226: $i,SV179: $i,SV148: $i,SV90: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV226 ) ) @ ( red @ SV255 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV179 @ SV25 ) ) @ SV226 ) ) @ ( red @ SV255 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[837]) ).
thf(910,plain,
! [SV26: $i,SV256: $i,SV227: $i,SV180: $i,SV149: $i,SV91: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV180 ) @ SV227 ) ) @ ( red @ SV256 ) ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV180 ) ) @ SV227 ) ) @ ( red @ SV256 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(911,plain,
! [SV43: $i,SV108: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ! [SY945: $i,SY946: $i,SY947: $i,SY948: $i,SY949: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SY945 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY946 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY947 ) @ SY948 ) ) ) @ ( red @ SY949 ) ) )
| ( ( hAPP_l207779698on_val @ SY948 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SY945 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SY946 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY947 ) @ ( fun_up1149430426on_val @ SY948 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SY949 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[841]) ).
thf(912,plain,
! [SV258: $i,SV231: $i,SV185: $i,SV156: $i,SV109: $i,SV44: $i] :
( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV44 @ SV109 @ ( seq_list_char @ ( lAss_list_char @ SV44 @ ( val_list_char @ SV156 ) ) @ ( val_list_char @ SV185 ) ) ) ) @ SV231 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( val_list_char @ SV185 ) ) @ SV231 ) ) @ ( red @ SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[842]) ).
thf(913,plain,
! [SV233: $i,SV187: $i,SV158: $i,SV111: $i,SV46: $i] :
( ( ( block_list_char @ SV46 @ SV111 @ SV158 )
= ( lAss_list_char @ SV187 @ SV233 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[844]) ).
thf(914,plain,
! [SV234: $i,SV188: $i,SV159: $i,SV112: $i,SV47: $i] :
( ( ( block_list_char @ SV47 @ SV112 @ SV159 )
= ( seq_list_char @ SV188 @ SV234 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[845]) ).
thf(915,plain,
! [SV235: $i,SV193: $i,SV168: $i,SV121: $i,SV56: $i] :
( ( ( seq_list_char @ SV56 @ SV121 )
= ( block_list_char @ SV168 @ SV193 @ SV235 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(916,plain,
! [SV236: $i,SV194: $i,SV169: $i,SV122: $i,SV57: $i] :
( ( ( lAss_list_char @ SV57 @ SV122 )
= ( block_list_char @ SV169 @ SV194 @ SV236 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[851]) ).
thf(917,plain,
! [SV58: $i,SV123: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ! [SY950: $i,SY951: $i,SY952: $i,SY953: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY950 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY951 ) @ SY952 ) ) ) @ ( red @ SY953 ) ) )
| ( ( hAPP_l207779698on_val @ SY952 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SY950 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY951 ) @ ( fun_up1149430426on_val @ SY952 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SY953 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[852]) ).
thf(918,plain,
! [SV61: $i,SV126: $i] :
( ( ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
= $false )
| ( ( ~ ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[853]) ).
thf(919,plain,
! [SV260: $i,SV196: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ SV260 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SV196 ) ) @ ( sK17_SY336 @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[854]) ).
thf(920,plain,
! [SV261: $i,SV197: $i] :
( ( ( ! [SY954: $i] :
~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV261 ) @ SY954 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( sK15_X1 @ SV197 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[855]) ).
thf(921,plain,
! [SV262: $i,SV127: $i,SV62: $i] :
( ( ! [SY955: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV262 ) @ SY955 ) )
| ( SV62 = SV262 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[856]) ).
thf(922,plain,
! [SV263: $i,SV127: $i,SV62: $i] :
( ( ! [SY956: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV263 ) @ SY956 ) )
| ( SV127 = SY956 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[857]) ).
thf(923,plain,
! [SV128: $i,SV264: $i,SV63: $i] :
( ( ! [SY957: $i] :
( ( SV63 != SV264 )
| ( SV128 != SY957 )
| ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV264 @ SY957 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[858]) ).
thf(924,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) )
| ~ ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[859]) ).
thf(925,plain,
! [SV265: $i,SV198: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ SV265 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SV198 ) ) @ ( sK14_SY335 @ SV198 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[860]) ).
thf(926,plain,
! [SV266: $i,SV199: $i] :
( ( ( ! [SY958: $i] :
~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV266 ) @ SY958 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( sK12_X1 @ SV199 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[861]) ).
thf(927,plain,
! [SV238: $i,SV200: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ SV200 @ SV238 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV238 @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[862]) ).
thf(928,plain,
! [SV201: $i,SV239: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV239 @ SV201 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ SV201 @ SV239 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[863]) ).
thf(929,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ( ~ ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
| ~ ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[864]) ).
thf(930,plain,
! [SV64: $i,SV171: $i,SV129: $i] :
( ( ~ ( ~ ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) )
| ~ ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[865]) ).
thf(931,plain,
! [SV267: $i,SV240: $i,SV65: $i] :
( ( ( ( fun_up1149430426on_val @ SV65 @ SV240 @ SV267 )
!= SV65 )
| ( ( hAPP_l207779698on_val @ SV65 @ SV240 )
= SV267 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[866]) ).
thf(932,plain,
! [SV268: $i,SV241: $i,SV65: $i] :
( ( ( ( hAPP_l207779698on_val @ SV65 @ SV241 )
!= SV268 )
| ( ( fun_up1149430426on_val @ SV65 @ SV241 @ SV268 )
= SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[867]) ).
thf(933,plain,
! [SV130: $i,SV66: $i,SV269: $i] :
( ( ! [SY959: $i] :
( ( SV269 != SY959 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY959 @ SV130 ) @ SV269 )
= SV130 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(934,plain,
! [SV130: $i,SV66: $i,SV270: $i] :
( ( ! [SY960: $i] :
( ( SV270 = SY960 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SY960 @ SV130 ) @ SV270 )
= ( hAPP_l207779698on_val @ SV66 @ SV270 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[869]) ).
thf(935,plain,
! [SV242: $i,SV202: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ SV202 @ SV242 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV242 @ SV202 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[870]) ).
thf(936,plain,
! [SV203: $i,SV243: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV243 @ SV203 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ SV203 @ SV243 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[871]) ).
thf(937,plain,
! [SV204: $i,SV244: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) ) ) )
= $true )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(938,plain,
! [SV205: $i,SV245: $i] :
( ( ( ( SV245 != SV205 ) )
= $true )
| ( ( ~ ( ~ ! [SY932: $i,SY933: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV205 ) ) )
| ~ ! [SY934: $i,SY935: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV245 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[873]) ).
thf(939,plain,
! [SV271: $i,SV206: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ SV271 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SV206 ) ) @ ( sK11_SY334 @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[874]) ).
thf(940,plain,
! [SV272: $i,SV207: $i] :
( ( ( ! [SY961: $i] :
~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV272 ) @ SY961 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( sK9_X1 @ SV207 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[875]) ).
thf(941,plain,
! [SV273: $i,SV131: $i,SV67: $i] :
( ( ! [SY962: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV273 ) @ SY962 ) )
| ( SV67 = SV273 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[876]) ).
thf(942,plain,
! [SV274: $i,SV131: $i,SV67: $i] :
( ( ! [SY963: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV274 ) @ SY963 ) )
| ( SV131 = SY963 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[877]) ).
thf(943,plain,
! [SV246: $i,SV208: $i] :
( ( ( ( ( val_list_char @ SV208 )
!= ( val_list_char @ SV246 ) ) )
= $true )
| ( ( SV208 = SV246 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[878]) ).
thf(944,plain,
! [SV247: $i,SV209: $i] :
( ( ( ( SV209 != SV247 ) )
= $true )
| ( ( ( val_list_char @ SV209 )
= ( val_list_char @ SV247 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[879]) ).
thf(945,plain,
! [SV172: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ~ ! [SY883: $i,SY884: $i] :
( ( SV68 != SV210 )
| ( SV132 != SY883 )
| ( SV172 != SY884 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SY883 @ SY884 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(946,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ~ ( ~ ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
| ~ ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[880]) ).
thf(947,plain,
! [SV133: $i,SV275: $i,SV69: $i] :
( ( ! [SY964: $i] :
( ( SV69 != SV275 )
| ( SV133 != SY964 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV275 ) @ SY964 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[881]) ).
thf(948,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) )
| ~ ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(949,plain,
! [SV211: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( sK47_X1 @ SV211 ) ) )
= $false )
| ( ( ! [SY891: $i,SY892: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY891 ) @ SY892 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[883]) ).
thf(950,plain,
! [SV212: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SV212 ) ) @ ( sK46_SY356 @ SV212 ) ) ) )
= $false )
| ( ( ! [SY893: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ SY893 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[884]) ).
thf(951,plain,
! [SV134: $i,SV70: $i,SV276: $i] :
( ( ! [SY965: $i] :
( ( SY965 != SV276 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV276 @ SV134 ) @ SY965 )
= SV134 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[885]) ).
thf(952,plain,
! [SV134: $i,SV70: $i,SV277: $i] :
( ( ! [SY966: $i] :
( ( SY966 = SV277 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV277 @ SV134 ) @ SY966 )
= ( hAPP_l207779698on_val @ SV70 @ SY966 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[886]) ).
thf(953,plain,
! [SV248: $i,SV213: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ SV213 @ SV248 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV248 @ SV213 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[887]) ).
thf(954,plain,
! [SV214: $i,SV249: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV249 @ SV214 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ SV214 @ SV249 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[888]) ).
thf(955,plain,
! [SV135: $i,SV278: $i,SV71: $i] :
( ( ! [SY967: $i] :
( ( SV71 != SV278 )
| ( SV135 != SY967 )
| ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV278 @ SY967 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[889]) ).
thf(956,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) )
| ~ ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[890]) ).
thf(957,plain,
! [SV215: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( sK50_X1 @ SV215 ) ) )
= $false )
| ( ( ! [SY896: $i,SY897: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY896 ) @ SY897 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(958,plain,
! [SV216: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SV216 ) ) @ ( sK49_SY357 @ SV216 ) ) ) )
= $false )
| ( ( ! [SY898: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ SY898 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[892]) ).
thf(959,plain,
! [SV217: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( sK44_X1 @ SV217 ) ) )
= $false )
| ( ( ! [SY899: $i,SY900: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY899 ) @ SY900 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(960,plain,
! [SV218: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SV218 ) ) @ ( sK43_SY355 @ SV218 ) ) ) )
= $false )
| ( ( ! [SY901: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ SY901 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[894]) ).
thf(961,plain,
! [SV219: $i,SV250: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) ) ) )
= $true )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[895]) ).
thf(962,plain,
! [SV220: $i,SV251: $i] :
( ( ( ( SV251 != SV220 ) )
= $true )
| ( ( ~ ( ~ ! [SY936: $i,SY937: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV220 ) ) )
| ~ ! [SY938: $i,SY939: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV251 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(963,plain,
! [SV279: $i,SV136: $i,SV72: $i] :
( ( ! [SY968: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV279 ) @ SY968 ) )
| ( SV72 = SV279 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[897]) ).
thf(964,plain,
! [SV280: $i,SV136: $i,SV72: $i] :
( ( ! [SY969: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV280 ) @ SY969 ) )
| ( SV136 = SY969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[898]) ).
thf(965,plain,
! [SV221: $i,SV252: $i] :
( ( ( ~ ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) ) ) )
= $true )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[899]) ).
thf(966,plain,
! [SV222: $i,SV253: $i] :
( ( ( ( SV253 != SV222 ) )
= $true )
| ( ( ~ ( ~ ! [SY940: $i,SY941: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV222 ) ) )
| ~ ! [SY942: $i,SY943: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV253 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(967,plain,
! [SV137: $i,SV281: $i,SV73: $i] :
( ( ! [SY970: $i] :
( ( SV73 != SV281 )
| ( SV137 != SY970 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV281 ) @ SY970 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[901]) ).
thf(968,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) )
| ~ ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[902]) ).
thf(969,plain,
! [SV138: $i,SV282: $i,SV74: $i] :
( ( ! [SY971: $i] :
( ( SV74 != SV282 )
| ( SV138 != SY971 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV282 ) @ SY971 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[903]) ).
thf(970,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) )
| ~ ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(971,plain,
! [SV223: $i,SV173: $i,SV140: $i,SV78: $i,SV4: $i] :
( ( ( ( fun_up1149430426on_val @ SV4 @ SV78 @ ( some_val @ SV140 ) )
= ( fun_up1149430426on_val @ SV173 @ SV78 @ ( some_val @ SV223 ) ) )
= $false )
| ( ( SV140 = SV223 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[905]) ).
thf(972,plain,
! [SV146: $i,SV20: $i,SV177: $i,SV88: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV177 @ SV20 ) ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV20 ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV177 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[907]) ).
thf(973,plain,
! [SV89: $i,SV24: $i,SV254: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ( ! [SY944: $i] :
~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV254 @ SY944 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SV254 @ SV24 ) @ SV89 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[908]) ).
thf(974,plain,
! [SV25: $i,SV255: $i,SV226: $i,SV179: $i,SV148: $i,SV90: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV226 ) ) @ ( red @ SV255 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV179 @ SV25 ) ) @ SV226 ) ) @ ( red @ SV255 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[909]) ).
thf(975,plain,
! [SV26: $i,SV256: $i,SV227: $i,SV180: $i,SV149: $i,SV91: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV180 ) @ SV227 ) ) @ ( red @ SV256 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV180 ) ) @ SV227 ) ) @ ( red @ SV256 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[910]) ).
thf(976,plain,
! [SV43: $i,SV108: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ! [SY972: $i,SY973: $i,SY974: $i,SY975: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY972 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY973 ) @ SY974 ) ) ) @ ( red @ SY975 ) ) )
| ( ( hAPP_l207779698on_val @ SY974 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SY972 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY973 ) @ ( fun_up1149430426on_val @ SY974 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SY975 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[911]) ).
thf(977,plain,
! [SV58: $i,SV123: $i,SV284: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ! [SY976: $i,SY977: $i,SY978: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY976 ) @ SY977 ) ) ) @ ( red @ SY978 ) ) )
| ( ( hAPP_l207779698on_val @ SY977 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY976 ) @ ( fun_up1149430426on_val @ SY977 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SY978 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[917]) ).
thf(978,plain,
! [SV61: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
| ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) )
= $false )
| ( ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(979,plain,
! [SV260: $i,SV196: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ SV260 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV196 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK16_A_15 @ SV196 ) ) @ ( sK17_SY336 @ SV196 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(980,plain,
! [SV285: $i,SV261: $i,SV197: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV261 ) @ SV285 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( sK15_X1 @ SV197 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[920]) ).
thf(981,plain,
! [SV262: $i,SV127: $i,SV62: $i] :
( ( ( ! [SY955: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV262 ) @ SY955 ) ) )
= $true )
| ( ( SV62 = SV262 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[921]) ).
thf(982,plain,
! [SV286: $i,SV263: $i,SV127: $i,SV62: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV263 ) @ SV286 ) )
| ( SV127 = SV286 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[922]) ).
thf(983,plain,
! [SV287: $i,SV128: $i,SV264: $i,SV63: $i] :
( ( ( SV63 != SV264 )
| ( SV128 != SV287 )
| ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV264 @ SV287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[923]) ).
thf(984,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(985,plain,
! [SV128: $i,SV63: $i] :
( ( ~ ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[924]) ).
thf(986,plain,
! [SV265: $i,SV198: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ SV265 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV198 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK13_A_15 @ SV198 ) ) @ ( sK14_SY335 @ SV198 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[925]) ).
thf(987,plain,
! [SV288: $i,SV266: $i,SV199: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV266 ) @ SV288 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( sK12_X1 @ SV199 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[926]) ).
thf(988,plain,
! [SV238: $i,SV200: $i] :
( ( ( hBOOL @ ( member840932460on_val @ SV200 @ SV238 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV238 @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[927]) ).
thf(989,plain,
! [SV201: $i,SV239: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV239 @ SV201 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ SV201 @ SV239 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[928]) ).
thf(990,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
| ~ ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[929]) ).
thf(991,plain,
! [SV64: $i,SV171: $i,SV129: $i] :
( ( ~ ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) )
| ~ ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[930]) ).
thf(992,plain,
! [SV267: $i,SV240: $i,SV65: $i] :
( ( ( ( ( fun_up1149430426on_val @ SV65 @ SV240 @ SV267 )
!= SV65 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV65 @ SV240 )
= SV267 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[931]) ).
thf(993,plain,
! [SV268: $i,SV241: $i,SV65: $i] :
( ( ( ( ( hAPP_l207779698on_val @ SV65 @ SV241 )
!= SV268 ) )
= $true )
| ( ( ( fun_up1149430426on_val @ SV65 @ SV241 @ SV268 )
= SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[932]) ).
thf(994,plain,
! [SV130: $i,SV66: $i,SV289: $i,SV269: $i] :
( ( ( SV269 != SV289 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SV289 @ SV130 ) @ SV269 )
= SV130 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[933]) ).
thf(995,plain,
! [SV130: $i,SV66: $i,SV290: $i,SV270: $i] :
( ( ( SV270 = SV290 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SV290 @ SV130 ) @ SV270 )
= ( hAPP_l207779698on_val @ SV66 @ SV270 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[934]) ).
thf(996,plain,
! [SV242: $i,SV202: $i] :
( ( ( hBOOL @ ( member773094996on_val @ SV202 @ SV242 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV242 @ SV202 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(997,plain,
! [SV203: $i,SV243: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV243 @ SV203 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ SV203 @ SV243 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(998,plain,
! [SV204: $i,SV244: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
| ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) ) )
= $false )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[937]) ).
thf(999,plain,
! [SV205: $i,SV245: $i] :
( ( ( SV245 = SV205 )
= $false )
| ( ( ~ ( ~ ! [SY932: $i,SY933: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV205 ) ) )
| ~ ! [SY934: $i,SY935: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV245 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1000,plain,
! [SV271: $i,SV206: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ SV271 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV206 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK10_A_15 @ SV206 ) ) @ ( sK11_SY334 @ SV206 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[939]) ).
thf(1001,plain,
! [SV291: $i,SV272: $i,SV207: $i] :
( ( ( ~ ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV272 ) @ SV291 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( sK9_X1 @ SV207 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[940]) ).
thf(1002,plain,
! [SV273: $i,SV131: $i,SV67: $i] :
( ( ( ! [SY962: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV273 ) @ SY962 ) ) )
= $true )
| ( ( SV67 = SV273 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[941]) ).
thf(1003,plain,
! [SV292: $i,SV274: $i,SV131: $i,SV67: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV274 ) @ SV292 ) )
| ( SV131 = SV292 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[942]) ).
thf(1004,plain,
! [SV246: $i,SV208: $i] :
( ( ( ( val_list_char @ SV208 )
= ( val_list_char @ SV246 ) )
= $false )
| ( ( SV208 = SV246 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1005,plain,
! [SV247: $i,SV209: $i] :
( ( ( SV209 = SV247 )
= $false )
| ( ( ( val_list_char @ SV209 )
= ( val_list_char @ SV247 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[944]) ).
thf(1006,plain,
! [SV172: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ! [SY883: $i,SY884: $i] :
( ( SV68 != SV210 )
| ( SV132 != SY883 )
| ( SV172 != SY884 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SY883 @ SY884 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[945]) ).
thf(1007,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ( ~ ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
| ~ ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[946]) ).
thf(1008,plain,
! [SV293: $i,SV133: $i,SV275: $i,SV69: $i] :
( ( ( SV69 != SV275 )
| ( SV133 != SV293 )
| ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV275 ) @ SV293 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[947]) ).
thf(1009,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1010,plain,
! [SV133: $i,SV69: $i] :
( ( ~ ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[948]) ).
thf(1011,plain,
! [SV294: $i,SV211: $i] :
( ( ( ! [SY979: $i] : ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV294 ) @ SY979 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( sK47_X1 @ SV211 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[949]) ).
thf(1012,plain,
! [SV295: $i,SV212: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ SV295 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV212 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK45_A_15 @ SV212 ) ) @ ( sK46_SY356 @ SV212 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[950]) ).
thf(1013,plain,
! [SV134: $i,SV70: $i,SV276: $i,SV296: $i] :
( ( ( SV296 != SV276 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV276 @ SV134 ) @ SV296 )
= SV134 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[951]) ).
thf(1014,plain,
! [SV134: $i,SV70: $i,SV277: $i,SV297: $i] :
( ( ( SV297 = SV277 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV277 @ SV134 ) @ SV297 )
= ( hAPP_l207779698on_val @ SV70 @ SV297 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[952]) ).
thf(1015,plain,
! [SV248: $i,SV213: $i] :
( ( ( hBOOL @ ( member763590124on_val @ SV213 @ SV248 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV248 @ SV213 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[953]) ).
thf(1016,plain,
! [SV214: $i,SV249: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV249 @ SV214 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ SV214 @ SV249 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[954]) ).
thf(1017,plain,
! [SV298: $i,SV135: $i,SV278: $i,SV71: $i] :
( ( ( SV71 != SV278 )
| ( SV135 != SV298 )
| ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV278 @ SV298 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[955]) ).
thf(1018,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(1019,plain,
! [SV135: $i,SV71: $i] :
( ( ~ ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[956]) ).
thf(1020,plain,
! [SV299: $i,SV215: $i] :
( ( ( ! [SY980: $i] : ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV299 ) @ SY980 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( sK50_X1 @ SV215 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[957]) ).
thf(1021,plain,
! [SV300: $i,SV216: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ SV300 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV216 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK48_A_15 @ SV216 ) ) @ ( sK49_SY357 @ SV216 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[958]) ).
thf(1022,plain,
! [SV301: $i,SV217: $i] :
( ( ( ! [SY981: $i] : ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV301 ) @ SY981 ) ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( sK44_X1 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[959]) ).
thf(1023,plain,
! [SV302: $i,SV218: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ SV302 ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV218 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK42_A_15 @ SV218 ) ) @ ( sK43_SY355 @ SV218 ) ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[960]) ).
thf(1024,plain,
! [SV219: $i,SV250: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
| ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) ) )
= $false )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1025,plain,
! [SV220: $i,SV251: $i] :
( ( ( SV251 = SV220 )
= $false )
| ( ( ~ ( ~ ! [SY936: $i,SY937: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV220 ) ) )
| ~ ! [SY938: $i,SY939: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV251 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[962]) ).
thf(1026,plain,
! [SV279: $i,SV136: $i,SV72: $i] :
( ( ( ! [SY968: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV279 ) @ SY968 ) ) )
= $true )
| ( ( SV72 = SV279 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[963]) ).
thf(1027,plain,
! [SV303: $i,SV280: $i,SV136: $i,SV72: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV280 ) @ SV303 ) )
| ( SV136 = SV303 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[964]) ).
thf(1028,plain,
! [SV221: $i,SV252: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
| ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) ) )
= $false )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[965]) ).
thf(1029,plain,
! [SV222: $i,SV253: $i] :
( ( ( SV253 = SV222 )
= $false )
| ( ( ~ ( ~ ! [SY940: $i,SY941: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV222 ) ) )
| ~ ! [SY942: $i,SY943: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV253 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[966]) ).
thf(1030,plain,
! [SV304: $i,SV137: $i,SV281: $i,SV73: $i] :
( ( ( SV73 != SV281 )
| ( SV137 != SV304 )
| ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV281 ) @ SV304 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[967]) ).
thf(1031,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1032,plain,
! [SV137: $i,SV73: $i] :
( ( ~ ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[968]) ).
thf(1033,plain,
! [SV305: $i,SV138: $i,SV282: $i,SV74: $i] :
( ( ( SV74 != SV282 )
| ( SV138 != SV305 )
| ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV282 ) @ SV305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[969]) ).
thf(1034,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1035,plain,
! [SV138: $i,SV74: $i] :
( ( ~ ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1036,plain,
! [SV146: $i,SV20: $i,SV177: $i,SV88: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV177 @ SV20 ) )
= $false )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV20 ) )
= $true )
| ( ( hBOOL @ ( widen_2090681816t_char @ SV88 @ SV146 @ SV177 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[972]) ).
thf(1037,plain,
! [SV89: $i,SV24: $i,SV306: $i,SV254: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ( ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV254 @ SV306 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SV254 @ SV24 ) @ SV89 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[973]) ).
thf(1038,plain,
! [SV25: $i,SV255: $i,SV226: $i,SV179: $i,SV148: $i,SV90: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV90 ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV179 ) @ SV226 ) ) @ ( red @ SV255 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV90 @ SV25 ) ) @ SV148 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( seq_list_char @ SV179 @ SV25 ) ) @ SV226 ) ) @ ( red @ SV255 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[974]) ).
thf(1039,plain,
! [SV26: $i,SV256: $i,SV227: $i,SV180: $i,SV149: $i,SV91: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV91 ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV180 ) @ SV227 ) ) @ ( red @ SV256 ) ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV91 ) ) @ SV149 ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( lAss_list_char @ SV26 @ SV180 ) ) @ SV227 ) ) @ ( red @ SV256 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1040,plain,
! [SV43: $i,SV108: $i,SV307: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ! [SY982: $i,SY983: $i,SY984: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY982 ) @ SY983 ) ) ) @ ( red @ SY984 ) ) )
| ( ( hAPP_l207779698on_val @ SY983 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY982 ) @ ( fun_up1149430426on_val @ SY983 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SY984 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[976]) ).
thf(1041,plain,
! [SV58: $i,SV123: $i,SV308: $i,SV284: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ! [SY985: $i,SY986: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SY985 ) ) ) @ ( red @ SY986 ) ) )
| ( ( hAPP_l207779698on_val @ SY985 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SY985 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SY986 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[977]) ).
thf(1042,plain,
! [SV61: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) ) )
= $false )
| ( ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1043,plain,
! [SV61: $i,SV126: $i] :
( ( ( ~ ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) ) )
= $false )
| ( ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[978]) ).
thf(1044,plain,
! [SV285: $i,SV261: $i,SV197: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV261 ) @ SV285 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV197 @ ( sK15_X1 @ SV197 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[980]) ).
thf(1045,plain,
! [SV309: $i,SV262: $i,SV127: $i,SV62: $i] :
( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV262 ) @ SV309 ) ) )
= $true )
| ( ( SV62 = SV262 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[981]) ).
thf(1046,plain,
! [SV286: $i,SV263: $i,SV127: $i,SV62: $i] :
( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV263 ) @ SV286 ) ) )
= $true )
| ( ( SV127 = SV286 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[982]) ).
thf(1047,plain,
! [SV287: $i,SV128: $i,SV264: $i,SV63: $i] :
( ( ( ( SV63 != SV264 )
| ( SV128 != SV287 ) )
= $true )
| ( ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV264 @ SV287 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[983]) ).
thf(1048,plain,
! [SV128: $i,SV63: $i] :
( ( ! [SY689: $i] :
( ! [SY690: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY689 @ SY690 ) )
| ( SV63 = SY689 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[984]) ).
thf(1049,plain,
! [SV128: $i,SV63: $i] :
( ( ! [SY691: $i,SY692: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SY691 @ SY692 ) )
| ( SV128 = SY692 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[985]) ).
thf(1050,plain,
! [SV288: $i,SV266: $i,SV199: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV266 ) @ SV288 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV199 @ ( sK12_X1 @ SV199 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[987]) ).
thf(1051,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1052,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[990]) ).
thf(1053,plain,
! [SV64: $i,SV171: $i,SV129: $i] :
( ( ~ ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1054,plain,
! [SV171: $i,SV64: $i,SV129: $i] :
( ( ~ ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1055,plain,
! [SV267: $i,SV240: $i,SV65: $i] :
( ( ( ( fun_up1149430426on_val @ SV65 @ SV240 @ SV267 )
= SV65 )
= $false )
| ( ( ( hAPP_l207779698on_val @ SV65 @ SV240 )
= SV267 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[992]) ).
thf(1056,plain,
! [SV268: $i,SV241: $i,SV65: $i] :
( ( ( ( hAPP_l207779698on_val @ SV65 @ SV241 )
= SV268 )
= $false )
| ( ( ( fun_up1149430426on_val @ SV65 @ SV241 @ SV268 )
= SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[993]) ).
thf(1057,plain,
! [SV130: $i,SV66: $i,SV289: $i,SV269: $i] :
( ( ( ( SV269 != SV289 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SV289 @ SV130 ) @ SV269 )
= SV130 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[994]) ).
thf(1058,plain,
! [SV130: $i,SV66: $i,SV290: $i,SV270: $i] :
( ( ( SV270 = SV290 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SV290 @ SV130 ) @ SV270 )
= ( hAPP_l207779698on_val @ SV66 @ SV270 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[995]) ).
thf(1059,plain,
! [SV204: $i,SV244: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) ) )
= $false )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1060,plain,
! [SV204: $i,SV244: $i] :
( ( ( ~ ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) ) )
= $false )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1061,plain,
! [SV205: $i,SV245: $i] :
( ( ( ~ ! [SY932: $i,SY933: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV205 ) ) )
| ~ ! [SY934: $i,SY935: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV245 ) ) ) )
= $false )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1062,plain,
! [SV291: $i,SV272: $i,SV207: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV272 ) @ SV291 ) ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV207 @ ( sK9_X1 @ SV207 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1001]) ).
thf(1063,plain,
! [SV310: $i,SV273: $i,SV131: $i,SV67: $i] :
( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV273 ) @ SV310 ) ) )
= $true )
| ( ( SV67 = SV273 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1002]) ).
thf(1064,plain,
! [SV292: $i,SV274: $i,SV131: $i,SV67: $i] :
( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV274 ) @ SV292 ) ) )
= $true )
| ( ( SV131 = SV292 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1003]) ).
thf(1065,plain,
! [SV172: $i,SV311: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ! [SY987: $i] :
( ( SV68 != SV210 )
| ( SV132 != SV311 )
| ( SV172 != SY987 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SY987 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1006]) ).
thf(1066,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
| ~ ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1007]) ).
thf(1067,plain,
! [SV293: $i,SV133: $i,SV275: $i,SV69: $i] :
( ( ( ( SV69 != SV275 )
| ( SV133 != SV293 ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV275 ) @ SV293 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1008]) ).
thf(1068,plain,
! [SV133: $i,SV69: $i] :
( ( ! [SY726: $i] :
( ! [SY727: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY726 ) @ SY727 ) )
| ( SV69 = SY726 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1069,plain,
! [SV133: $i,SV69: $i] :
( ( ! [SY728: $i,SY729: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY728 ) @ SY729 ) )
| ( SV133 = SY729 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1070,plain,
! [SV312: $i,SV294: $i,SV211: $i] :
( ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV294 ) @ SV312 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P1708370145l_bool @ SV211 @ ( sK47_X1 @ SV211 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1011]) ).
thf(1071,plain,
! [SV134: $i,SV70: $i,SV276: $i,SV296: $i] :
( ( ( ( SV296 != SV276 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV276 @ SV134 ) @ SV296 )
= SV134 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1013]) ).
thf(1072,plain,
! [SV134: $i,SV70: $i,SV277: $i,SV297: $i] :
( ( ( SV297 = SV277 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV277 @ SV134 ) @ SV297 )
= ( hAPP_l207779698on_val @ SV70 @ SV297 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1014]) ).
thf(1073,plain,
! [SV298: $i,SV135: $i,SV278: $i,SV71: $i] :
( ( ( ( SV71 != SV278 )
| ( SV135 != SV298 ) )
= $true )
| ( ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV278 @ SV298 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1017]) ).
thf(1074,plain,
! [SV135: $i,SV71: $i] :
( ( ! [SY736: $i] :
( ! [SY737: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY736 @ SY737 ) )
| ( SV71 = SY736 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1075,plain,
! [SV135: $i,SV71: $i] :
( ( ! [SY738: $i,SY739: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SY738 @ SY739 ) )
| ( SV135 = SY739 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1076,plain,
! [SV313: $i,SV299: $i,SV215: $i] :
( ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV299 ) @ SV313 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P282169671l_bool @ SV215 @ ( sK50_X1 @ SV215 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1020]) ).
thf(1077,plain,
! [SV314: $i,SV301: $i,SV217: $i] :
( ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV301 ) @ SV314 ) ) )
= $true )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ SV217 @ ( sK44_X1 @ SV217 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1022]) ).
thf(1078,plain,
! [SV219: $i,SV250: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) ) )
= $false )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1079,plain,
! [SV219: $i,SV250: $i] :
( ( ( ~ ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) ) )
= $false )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1024]) ).
thf(1080,plain,
! [SV220: $i,SV251: $i] :
( ( ( ~ ! [SY936: $i,SY937: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV220 ) ) )
| ~ ! [SY938: $i,SY939: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV251 ) ) ) )
= $false )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1025]) ).
thf(1081,plain,
! [SV315: $i,SV279: $i,SV136: $i,SV72: $i] :
( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV279 ) @ SV315 ) ) )
= $true )
| ( ( SV72 = SV279 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1026]) ).
thf(1082,plain,
! [SV303: $i,SV280: $i,SV136: $i,SV72: $i] :
( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV280 ) @ SV303 ) ) )
= $true )
| ( ( SV136 = SV303 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1027]) ).
thf(1083,plain,
! [SV221: $i,SV252: $i] :
( ( ( ~ ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) ) )
= $false )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1028]) ).
thf(1084,plain,
! [SV221: $i,SV252: $i] :
( ( ( ~ ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) ) )
= $false )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1028]) ).
thf(1085,plain,
! [SV222: $i,SV253: $i] :
( ( ( ~ ! [SY940: $i,SY941: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV222 ) ) )
| ~ ! [SY942: $i,SY943: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV253 ) ) ) )
= $false )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1029]) ).
thf(1086,plain,
! [SV304: $i,SV137: $i,SV281: $i,SV73: $i] :
( ( ( ( SV73 != SV281 )
| ( SV137 != SV304 ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV281 ) @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1030]) ).
thf(1087,plain,
! [SV137: $i,SV73: $i] :
( ( ! [SY746: $i] :
( ! [SY747: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY746 ) @ SY747 ) )
| ( SV73 = SY746 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1031]) ).
thf(1088,plain,
! [SV137: $i,SV73: $i] :
( ( ! [SY748: $i,SY749: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY748 ) @ SY749 ) )
| ( SV137 = SY749 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1032]) ).
thf(1089,plain,
! [SV305: $i,SV138: $i,SV282: $i,SV74: $i] :
( ( ( ( SV74 != SV282 )
| ( SV138 != SV305 ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV282 ) @ SV305 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1033]) ).
thf(1090,plain,
! [SV138: $i,SV74: $i] :
( ( ! [SY752: $i] :
( ! [SY753: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY752 ) @ SY753 ) )
| ( SV74 = SY752 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1091,plain,
! [SV138: $i,SV74: $i] :
( ( ! [SY754: $i,SY755: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY754 ) @ SY755 ) )
| ( SV138 = SY755 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1035]) ).
thf(1092,plain,
! [SV89: $i,SV24: $i,SV306: $i,SV254: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV254 @ SV306 ) )
= $false )
| ( ( ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) )
| ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SV254 @ SV24 ) @ SV89 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1037]) ).
thf(1093,plain,
! [SV43: $i,SV108: $i,SV316: $i,SV307: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ! [SY988: $i,SY989: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SY988 ) ) ) @ ( red @ SY989 ) ) )
| ( ( hAPP_l207779698on_val @ SY988 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SY988 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SY989 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1040]) ).
thf(1094,plain,
! [SV58: $i,SV123: $i,SV317: $i,SV308: $i,SV284: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ! [SY990: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SY990 ) ) )
| ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SY990 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1041]) ).
thf(1095,plain,
! [SV61: $i,SV126: $i] :
( ( ( hBOOL @ ( wTrt @ p @ h_a @ SV126 @ e_a @ ( sK1_T_5 @ SV126 @ SV61 ) ) )
= $true )
| ( ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1096,plain,
! [SV61: $i,SV126: $i] :
( ( ( hBOOL @ ( widen_2090681816t_char @ p @ ( sK1_T_5 @ SV126 @ SV61 ) @ SV61 ) )
= $true )
| ( ( hBOOL @ ( wTrt @ p @ ha @ SV126 @ ea @ SV61 ) )
= $false )
| ( ( hBOOL @ ( hAPP_P159683425l_bool @ ( typeSa1234865140_sconf @ p @ SV126 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ha ) @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1043]) ).
thf(1097,plain,
! [SV309: $i,SV262: $i,SV127: $i,SV62: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV262 ) @ SV309 ) )
= $false )
| ( ( SV62 = SV262 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1098,plain,
! [SV286: $i,SV263: $i,SV127: $i,SV62: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV62 ) @ SV127 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV263 ) @ SV286 ) )
= $false )
| ( ( SV127 = SV286 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1046]) ).
thf(1099,plain,
! [SV287: $i,SV128: $i,SV264: $i,SV63: $i] :
( ( ( ( SV63 != SV264 ) )
= $true )
| ( ( ( SV128 != SV287 ) )
= $true )
| ( ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV264 @ SV287 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1047]) ).
thf(1100,plain,
! [SV318: $i,SV128: $i,SV63: $i] :
( ( ! [SY991: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SV318 @ SY991 ) )
| ( SV63 = SV318 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1048]) ).
thf(1101,plain,
! [SV319: $i,SV128: $i,SV63: $i] :
( ( ! [SY992: $i] :
( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SV319 @ SY992 ) )
| ( SV128 = SY992 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1049]) ).
thf(1102,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1103,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1104,plain,
! [SV64: $i,SV171: $i,SV129: $i] :
( ( ! [SY818: $i,SY819: $i] :
( ( SY818 != SV129 )
| ( SV171 != SY819 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY818 )
= ( some_val @ SY819 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1053]) ).
thf(1105,plain,
! [SV171: $i,SV64: $i,SV129: $i] :
( ( ! [SY820: $i,SY821: $i] :
( ( SY820 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY820 )
!= ( some_val @ SY821 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY820 )
= ( some_val @ SY821 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1054]) ).
thf(1106,plain,
! [SV130: $i,SV66: $i,SV289: $i,SV269: $i] :
( ( ( SV269 = SV289 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV66 @ SV289 @ SV130 ) @ SV269 )
= SV130 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1057]) ).
thf(1107,plain,
! [SV204: $i,SV244: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
= $true )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1059]) ).
thf(1108,plain,
! [SV204: $i,SV244: $i] :
( ( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
= $true )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1109,plain,
! [SV205: $i,SV245: $i] :
( ( ( ~ ! [SY932: $i,SY933: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV205 ) ) ) )
= $false )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1110,plain,
! [SV245: $i,SV205: $i] :
( ( ( ~ ! [SY934: $i,SY935: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV245 ) ) ) )
= $false )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1061]) ).
thf(1111,plain,
! [SV310: $i,SV273: $i,SV131: $i,SV67: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV273 ) @ SV310 ) )
= $false )
| ( ( SV67 = SV273 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1063]) ).
thf(1112,plain,
! [SV292: $i,SV274: $i,SV131: $i,SV67: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV67 ) @ SV131 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV274 ) @ SV292 ) )
= $false )
| ( ( SV131 = SV292 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1064]) ).
thf(1113,plain,
! [SV320: $i,SV172: $i,SV311: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ( SV68 != SV210 )
| ( SV132 != SV311 )
| ( SV172 != SV320 )
| ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1065]) ).
thf(1114,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1115,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1066]) ).
thf(1116,plain,
! [SV293: $i,SV133: $i,SV275: $i,SV69: $i] :
( ( ( ( SV69 != SV275 ) )
= $true )
| ( ( ( SV133 != SV293 ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV275 ) @ SV293 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1067]) ).
thf(1117,plain,
! [SV321: $i,SV133: $i,SV69: $i] :
( ( ! [SY993: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV321 ) @ SY993 ) )
| ( SV69 = SV321 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1068]) ).
thf(1118,plain,
! [SV322: $i,SV133: $i,SV69: $i] :
( ( ! [SY994: $i] :
( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV322 ) @ SY994 ) )
| ( SV133 = SY994 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1069]) ).
thf(1119,plain,
! [SV134: $i,SV70: $i,SV276: $i,SV296: $i] :
( ( ( SV296 = SV276 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV70 @ SV276 @ SV134 ) @ SV296 )
= SV134 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1071]) ).
thf(1120,plain,
! [SV298: $i,SV135: $i,SV278: $i,SV71: $i] :
( ( ( ( SV71 != SV278 ) )
= $true )
| ( ( ( SV135 != SV298 ) )
= $true )
| ( ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV278 @ SV298 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1121,plain,
! [SV323: $i,SV135: $i,SV71: $i] :
( ( ! [SY995: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SV323 @ SY995 ) )
| ( SV71 = SV323 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1074]) ).
thf(1122,plain,
! [SV324: $i,SV135: $i,SV71: $i] :
( ( ! [SY996: $i] :
( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SV324 @ SY996 ) )
| ( SV135 = SY996 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1075]) ).
thf(1123,plain,
! [SV219: $i,SV250: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
= $true )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1124,plain,
! [SV219: $i,SV250: $i] :
( ( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
= $true )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1125,plain,
! [SV220: $i,SV251: $i] :
( ( ( ~ ! [SY936: $i,SY937: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV220 ) ) ) )
= $false )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1126,plain,
! [SV251: $i,SV220: $i] :
( ( ( ~ ! [SY938: $i,SY939: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV251 ) ) ) )
= $false )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1080]) ).
thf(1127,plain,
! [SV315: $i,SV279: $i,SV136: $i,SV72: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV279 ) @ SV315 ) )
= $false )
| ( ( SV72 = SV279 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1128,plain,
! [SV303: $i,SV280: $i,SV136: $i,SV72: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV72 ) @ SV136 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV280 ) @ SV303 ) )
= $false )
| ( ( SV136 = SV303 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1082]) ).
thf(1129,plain,
! [SV221: $i,SV252: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
= $true )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1083]) ).
thf(1130,plain,
! [SV221: $i,SV252: $i] :
( ( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
= $true )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1131,plain,
! [SV222: $i,SV253: $i] :
( ( ( ~ ! [SY940: $i,SY941: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV222 ) ) ) )
= $false )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1132,plain,
! [SV253: $i,SV222: $i] :
( ( ( ~ ! [SY942: $i,SY943: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV253 ) ) ) )
= $false )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1085]) ).
thf(1133,plain,
! [SV304: $i,SV137: $i,SV281: $i,SV73: $i] :
( ( ( ( SV73 != SV281 ) )
= $true )
| ( ( ( SV137 != SV304 ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV281 ) @ SV304 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1086]) ).
thf(1134,plain,
! [SV325: $i,SV137: $i,SV73: $i] :
( ( ! [SY997: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV325 ) @ SY997 ) )
| ( SV73 = SV325 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1087]) ).
thf(1135,plain,
! [SV326: $i,SV137: $i,SV73: $i] :
( ( ! [SY998: $i] :
( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SY998 ) )
| ( SV137 = SY998 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1088]) ).
thf(1136,plain,
! [SV305: $i,SV138: $i,SV282: $i,SV74: $i] :
( ( ( ( SV74 != SV282 ) )
= $true )
| ( ( ( SV138 != SV305 ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV282 ) @ SV305 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1089]) ).
thf(1137,plain,
! [SV327: $i,SV138: $i,SV74: $i] :
( ( ! [SY999: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV327 ) @ SY999 ) )
| ( SV74 = SV327 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1090]) ).
thf(1138,plain,
! [SV328: $i,SV138: $i,SV74: $i] :
( ( ! [SY1000: $i] :
( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV328 ) @ SY1000 ) )
| ( SV138 = SY1000 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1091]) ).
thf(1139,plain,
! [SV306: $i,SV254: $i,SV89: $i,SV24: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ( ~ ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) ) )
= $true )
| ( ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SV254 @ SV24 ) @ SV89 ) )
= $true )
| ( ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV254 @ SV306 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1092]) ).
thf(1140,plain,
! [SV43: $i,SV108: $i,SV329: $i,SV316: $i,SV307: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ! [SY1001: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SV329 ) ) ) @ ( red @ SY1001 ) ) )
| ( ( hAPP_l207779698on_val @ SV329 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SV329 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SY1001 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1093]) ).
thf(1141,plain,
! [SV58: $i,SV123: $i,SV330: $i,SV317: $i,SV308: $i,SV284: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SV330 ) ) )
| ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SV330 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1094]) ).
thf(1142,plain,
! [SV287: $i,SV128: $i,SV264: $i,SV63: $i] :
( ( ( SV63 = SV264 )
= $false )
| ( ( ( SV128 != SV287 ) )
= $true )
| ( ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV264 @ SV287 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1099]) ).
thf(1143,plain,
! [SV318: $i,SV128: $i,SV63: $i] :
( ( ( ! [SY991: $i] :
( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SV318 @ SY991 ) ) )
= $true )
| ( ( SV63 = SV318 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1100]) ).
thf(1144,plain,
! [SV331: $i,SV319: $i,SV128: $i,SV63: $i] :
( ( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SV319 @ SV331 ) )
| ( SV128 = SV331 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1101]) ).
thf(1145,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) )
| ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1102]) ).
thf(1146,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) )
| ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1103]) ).
thf(1147,plain,
! [SV64: $i,SV171: $i,SV129: $i,SV332: $i] :
( ( ! [SY1002: $i] :
( ( SV332 != SV129 )
| ( SV171 != SY1002 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV332 )
= ( some_val @ SY1002 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1104]) ).
thf(1148,plain,
! [SV171: $i,SV64: $i,SV129: $i,SV333: $i] :
( ( ! [SY1003: $i] :
( ( SV333 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV333 )
!= ( some_val @ SY1003 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV333 )
= ( some_val @ SY1003 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1105]) ).
thf(1149,plain,
! [SV204: $i,SV244: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
= $true )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1107]) ).
thf(1150,plain,
! [SV204: $i,SV244: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) )
= $true )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1108]) ).
thf(1151,plain,
! [SV205: $i,SV245: $i] :
( ( ( ! [SY932: $i,SY933: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY932 ) @ SY933 ) @ SV205 ) ) ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1109]) ).
thf(1152,plain,
! [SV245: $i,SV205: $i] :
( ( ( ! [SY934: $i,SY935: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SY934 ) @ SY935 ) @ SV245 ) ) ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1110]) ).
thf(1153,plain,
! [SV320: $i,SV172: $i,SV311: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ( ( SV68 != SV210 )
| ( SV132 != SV311 )
| ( SV172 != SV320 ) )
= $true )
| ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1113]) ).
thf(1154,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1155,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ! [SY889: $i,SY890: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY889 @ SY890 ) )
| ( SV172 = SY890 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1156,plain,
! [SV293: $i,SV133: $i,SV275: $i,SV69: $i] :
( ( ( SV69 = SV275 )
= $false )
| ( ( ( SV133 != SV293 ) )
= $true )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV275 ) @ SV293 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1157,plain,
! [SV321: $i,SV133: $i,SV69: $i] :
( ( ( ! [SY993: $i] :
( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV321 ) @ SY993 ) ) )
= $true )
| ( ( SV69 = SV321 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1117]) ).
thf(1158,plain,
! [SV334: $i,SV322: $i,SV133: $i,SV69: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV322 ) @ SV334 ) )
| ( SV133 = SV334 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1118]) ).
thf(1159,plain,
! [SV298: $i,SV135: $i,SV278: $i,SV71: $i] :
( ( ( SV71 = SV278 )
= $false )
| ( ( ( SV135 != SV298 ) )
= $true )
| ( ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV278 @ SV298 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1120]) ).
thf(1160,plain,
! [SV323: $i,SV135: $i,SV71: $i] :
( ( ( ! [SY995: $i] :
( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SV323 @ SY995 ) ) )
= $true )
| ( ( SV71 = SV323 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1121]) ).
thf(1161,plain,
! [SV335: $i,SV324: $i,SV135: $i,SV71: $i] :
( ( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SV324 @ SV335 ) )
| ( SV135 = SV335 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1122]) ).
thf(1162,plain,
! [SV219: $i,SV250: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
= $true )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1123]) ).
thf(1163,plain,
! [SV219: $i,SV250: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) )
= $true )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1124]) ).
thf(1164,plain,
! [SV220: $i,SV251: $i] :
( ( ( ! [SY936: $i,SY937: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY936 ) @ SY937 ) @ SV220 ) ) ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1125]) ).
thf(1165,plain,
! [SV251: $i,SV220: $i] :
( ( ( ! [SY938: $i,SY939: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SY938 ) @ SY939 ) @ SV251 ) ) ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1126]) ).
thf(1166,plain,
! [SV221: $i,SV252: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) ) )
= $true )
| ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
= $true )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1129]) ).
thf(1167,plain,
! [SV221: $i,SV252: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) )
= $true )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1130]) ).
thf(1168,plain,
! [SV222: $i,SV253: $i] :
( ( ( ! [SY940: $i,SY941: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY940 ) @ SY941 ) @ SV222 ) ) ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1131]) ).
thf(1169,plain,
! [SV253: $i,SV222: $i] :
( ( ( ! [SY942: $i,SY943: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SY942 ) @ SY943 ) @ SV253 ) ) ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1132]) ).
thf(1170,plain,
! [SV304: $i,SV137: $i,SV281: $i,SV73: $i] :
( ( ( SV73 = SV281 )
= $false )
| ( ( ( SV137 != SV304 ) )
= $true )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV281 ) @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1133]) ).
thf(1171,plain,
! [SV325: $i,SV137: $i,SV73: $i] :
( ( ( ! [SY997: $i] :
( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV325 ) @ SY997 ) ) )
= $true )
| ( ( SV73 = SV325 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1134]) ).
thf(1172,plain,
! [SV336: $i,SV326: $i,SV137: $i,SV73: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV336 ) )
| ( SV137 = SV336 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1135]) ).
thf(1173,plain,
! [SV305: $i,SV138: $i,SV282: $i,SV74: $i] :
( ( ( SV74 = SV282 )
= $false )
| ( ( ( SV138 != SV305 ) )
= $true )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV282 ) @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1136]) ).
thf(1174,plain,
! [SV327: $i,SV138: $i,SV74: $i] :
( ( ( ! [SY999: $i] :
( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV327 ) @ SY999 ) ) )
= $true )
| ( ( SV74 = SV327 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1137]) ).
thf(1175,plain,
! [SV337: $i,SV328: $i,SV138: $i,SV74: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV328 ) @ SV337 ) )
| ( SV138 = SV337 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1138]) ).
thf(1176,plain,
! [SV306: $i,SV254: $i,SV89: $i,SV24: $i,SV225: $i,SV178: $i,SV147: $i] :
( ( ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV24 @ SV89 ) )
= $false )
| ( ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ ( seq_list_char @ SV254 @ SV24 ) @ SV89 ) )
= $true )
| ( ( hBOOL @ ( wTrt @ SV147 @ SV178 @ SV225 @ SV254 @ SV306 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1139]) ).
thf(1177,plain,
! [SV43: $i,SV108: $i,SV338: $i,SV329: $i,SV316: $i,SV307: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SV329 ) ) ) @ ( red @ SV338 ) ) )
| ( ( hAPP_l207779698on_val @ SV329 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SV329 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SV338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1140]) ).
thf(1178,plain,
! [SV58: $i,SV123: $i,SV330: $i,SV317: $i,SV308: $i,SV284: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SV330 ) ) ) )
= $true )
| ( ( ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SV330 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1141]) ).
thf(1179,plain,
! [SV264: $i,SV63: $i,SV287: $i,SV128: $i] :
( ( ( SV128 = SV287 )
= $false )
| ( ( SV63 = SV264 )
= $false )
| ( ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV264 @ SV287 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1142]) ).
thf(1180,plain,
! [SV339: $i,SV318: $i,SV128: $i,SV63: $i] :
( ( ( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SV318 @ SV339 ) ) )
= $true )
| ( ( SV63 = SV318 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1143]) ).
thf(1181,plain,
! [SV331: $i,SV319: $i,SV128: $i,SV63: $i] :
( ( ( ( ( seq_list_char @ SV63 @ SV128 )
!= ( seq_list_char @ SV319 @ SV331 ) ) )
= $true )
| ( ( SV128 = SV331 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1182,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1183,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1145]) ).
thf(1184,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1185,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ~ ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1146]) ).
thf(1186,plain,
! [SV64: $i,SV340: $i,SV171: $i,SV129: $i,SV332: $i] :
( ( ( SV332 != SV129 )
| ( SV171 != SV340 )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV332 )
= ( some_val @ SV340 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1147]) ).
thf(1187,plain,
! [SV171: $i,SV341: $i,SV64: $i,SV129: $i,SV333: $i] :
( ( ( SV333 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV333 )
!= ( some_val @ SV341 ) )
| ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV333 )
= ( some_val @ SV341 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1148]) ).
thf(1188,plain,
! [SV204: $i,SV244: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
= $false )
| ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) ) )
= $true )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1149]) ).
thf(1189,plain,
! [SV205: $i,SV245: $i,SV342: $i] :
( ( ( ! [SY1004: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SY1004 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SY1004 ) @ SV205 ) ) ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1190,plain,
! [SV245: $i,SV205: $i,SV343: $i] :
( ( ( ! [SY1005: $i] :
( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SY1005 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SY1005 ) @ SV245 ) ) ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1152]) ).
thf(1191,plain,
! [SV320: $i,SV172: $i,SV311: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ( ( SV68 != SV210 )
| ( SV132 != SV311 ) )
= $true )
| ( ( ( SV172 != SV320 ) )
= $true )
| ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1153]) ).
thf(1192,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
| ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1193,plain,
! [SV344: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ! [SY1006: $i] :
( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV344 @ SY1006 ) )
| ( SV172 = SY1006 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1155]) ).
thf(1194,plain,
! [SV275: $i,SV69: $i,SV293: $i,SV133: $i] :
( ( ( SV133 = SV293 )
= $false )
| ( ( SV69 = SV275 )
= $false )
| ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV275 ) @ SV293 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1156]) ).
thf(1195,plain,
! [SV345: $i,SV321: $i,SV133: $i,SV69: $i] :
( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV321 ) @ SV345 ) ) )
= $true )
| ( ( SV69 = SV321 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1157]) ).
thf(1196,plain,
! [SV334: $i,SV322: $i,SV133: $i,SV69: $i] :
( ( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
!= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV322 ) @ SV334 ) ) )
= $true )
| ( ( SV133 = SV334 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1158]) ).
thf(1197,plain,
! [SV278: $i,SV71: $i,SV298: $i,SV135: $i] :
( ( ( SV135 = SV298 )
= $false )
| ( ( SV71 = SV278 )
= $false )
| ( ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV278 @ SV298 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1159]) ).
thf(1198,plain,
! [SV346: $i,SV323: $i,SV135: $i,SV71: $i] :
( ( ( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SV323 @ SV346 ) ) )
= $true )
| ( ( SV71 = SV323 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1160]) ).
thf(1199,plain,
! [SV335: $i,SV324: $i,SV135: $i,SV71: $i] :
( ( ( ( ( lAss_list_char @ SV71 @ SV135 )
!= ( lAss_list_char @ SV324 @ SV335 ) ) )
= $true )
| ( ( SV135 = SV335 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1161]) ).
thf(1200,plain,
! [SV219: $i,SV250: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
= $false )
| ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) ) )
= $true )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1201,plain,
! [SV220: $i,SV251: $i,SV347: $i] :
( ( ( ! [SY1007: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SY1007 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SY1007 ) @ SV220 ) ) ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1164]) ).
thf(1202,plain,
! [SV251: $i,SV220: $i,SV348: $i] :
( ( ( ! [SY1008: $i] :
( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SY1008 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SY1008 ) @ SV251 ) ) ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1165]) ).
thf(1203,plain,
! [SV221: $i,SV252: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
= $false )
| ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) ) )
= $true )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1166]) ).
thf(1204,plain,
! [SV222: $i,SV253: $i,SV349: $i] :
( ( ( ! [SY1009: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SY1009 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SY1009 ) @ SV222 ) ) ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1205,plain,
! [SV253: $i,SV222: $i,SV350: $i] :
( ( ( ! [SY1010: $i] :
( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SY1010 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SY1010 ) @ SV253 ) ) ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1169]) ).
thf(1206,plain,
! [SV281: $i,SV73: $i,SV304: $i,SV137: $i] :
( ( ( SV137 = SV304 )
= $false )
| ( ( SV73 = SV281 )
= $false )
| ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV281 ) @ SV304 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1207,plain,
! [SV351: $i,SV325: $i,SV137: $i,SV73: $i] :
( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV325 ) @ SV351 ) ) )
= $true )
| ( ( SV73 = SV325 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1171]) ).
thf(1208,plain,
! [SV336: $i,SV326: $i,SV137: $i,SV73: $i] :
( ( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
!= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV336 ) ) )
= $true )
| ( ( SV137 = SV336 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1172]) ).
thf(1209,plain,
! [SV282: $i,SV74: $i,SV305: $i,SV138: $i] :
( ( ( SV138 = SV305 )
= $false )
| ( ( SV74 = SV282 )
= $false )
| ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV282 ) @ SV305 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1173]) ).
thf(1210,plain,
! [SV352: $i,SV327: $i,SV138: $i,SV74: $i] :
( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV327 ) @ SV352 ) ) )
= $true )
| ( ( SV74 = SV327 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1174]) ).
thf(1211,plain,
! [SV337: $i,SV328: $i,SV138: $i,SV74: $i] :
( ( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
!= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV328 ) @ SV337 ) ) )
= $true )
| ( ( SV138 = SV337 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1175]) ).
thf(1212,plain,
! [SV43: $i,SV108: $i,SV338: $i,SV329: $i,SV316: $i,SV307: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SV329 ) ) ) @ ( red @ SV338 ) ) ) )
= $true )
| ( ( ( ( hAPP_l207779698on_val @ SV329 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SV329 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1213,plain,
! [SV58: $i,SV123: $i,SV330: $i,SV317: $i,SV308: $i,SV284: $i,SV259: $i,SV237: $i,SV195: $i,SV170: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SV330 ) ) )
= $false )
| ( ( ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
!= ( some_val @ SV123 ) )
| ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SV330 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1178]) ).
thf(1214,plain,
! [SV339: $i,SV318: $i,SV128: $i,SV63: $i] :
( ( ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV318 @ SV339 ) )
= $false )
| ( ( SV63 = SV318 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1180]) ).
thf(1215,plain,
! [SV331: $i,SV319: $i,SV128: $i,SV63: $i] :
( ( ( ( seq_list_char @ SV63 @ SV128 )
= ( seq_list_char @ SV319 @ SV331 ) )
= $false )
| ( ( SV128 = SV331 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1181]) ).
thf(1216,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY810: $i] :
( ! [SY811: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY810 )
!= ( some_val @ SY811 ) )
| ( SY810 = SV129 )
| ( SY810 != SV129 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1217,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY812: $i,SY813: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY812 )
!= ( some_val @ SY813 ) )
| ( SY812 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY812 )
= ( some_val @ SY813 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1218,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY814: $i,SY815: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY814 )
!= ( some_val @ SY815 ) )
| ( SV171 = SY815 )
| ( SY814 != SV129 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1184]) ).
thf(1219,plain,
! [SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY816: $i,SY817: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SY816 )
!= ( some_val @ SY817 ) )
| ( SV171 = SY817 )
| ( ( hAPP_l207779698on_val @ SV64 @ SY816 )
= ( some_val @ SY817 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1185]) ).
thf(1220,plain,
! [SV64: $i,SV340: $i,SV171: $i,SV129: $i,SV332: $i] :
( ( ( ( SV332 != SV129 )
| ( SV171 != SV340 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV332 )
= ( some_val @ SV340 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1186]) ).
thf(1221,plain,
! [SV171: $i,SV341: $i,SV64: $i,SV129: $i,SV333: $i] :
( ( ( ( SV333 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV333 )
!= ( some_val @ SV341 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV333 )
= ( some_val @ SV341 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1187]) ).
thf(1222,plain,
! [SV204: $i,SV244: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV204 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( sK24_X @ SV244 @ SV204 ) ) @ ( sK25_SY340 @ SV244 @ SV204 ) ) @ SV244 ) )
= $false )
| ( ( SV244 = SV204 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1188]) ).
thf(1223,plain,
! [SV205: $i,SV245: $i,SV353: $i,SV342: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SV353 ) @ SV245 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SV353 ) @ SV205 ) ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1189]) ).
thf(1224,plain,
! [SV245: $i,SV205: $i,SV354: $i,SV343: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SV354 ) @ SV205 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SV354 ) @ SV245 ) ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1190]) ).
thf(1225,plain,
! [SV320: $i,SV172: $i,SV311: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ( ( SV68 != SV210 ) )
= $true )
| ( ( ( SV132 != SV311 ) )
= $true )
| ( ( ( SV172 != SV320 ) )
= $true )
| ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1191]) ).
thf(1226,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1227,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ~ ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[1192]) ).
thf(1228,plain,
! [SV355: $i,SV344: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV344 @ SV355 ) )
| ( SV172 = SV355 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1229,plain,
! [SV345: $i,SV321: $i,SV133: $i,SV69: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV321 ) @ SV345 ) )
= $false )
| ( ( SV69 = SV321 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1195]) ).
thf(1230,plain,
! [SV334: $i,SV322: $i,SV133: $i,SV69: $i] :
( ( ( ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV69 ) @ SV133 )
= ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV322 ) @ SV334 ) )
= $false )
| ( ( SV133 = SV334 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1196]) ).
thf(1231,plain,
! [SV346: $i,SV323: $i,SV135: $i,SV71: $i] :
( ( ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV323 @ SV346 ) )
= $false )
| ( ( SV71 = SV323 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1198]) ).
thf(1232,plain,
! [SV335: $i,SV324: $i,SV135: $i,SV71: $i] :
( ( ( ( lAss_list_char @ SV71 @ SV135 )
= ( lAss_list_char @ SV324 @ SV335 ) )
= $false )
| ( ( SV135 = SV335 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1199]) ).
thf(1233,plain,
! [SV219: $i,SV250: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV219 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ ( sK26_X @ SV250 @ SV219 ) ) @ ( sK27_SY341 @ SV250 @ SV219 ) ) @ SV250 ) )
= $false )
| ( ( SV250 = SV219 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1200]) ).
thf(1234,plain,
! [SV220: $i,SV251: $i,SV356: $i,SV347: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SV356 ) @ SV251 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SV356 ) @ SV220 ) ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1201]) ).
thf(1235,plain,
! [SV251: $i,SV220: $i,SV357: $i,SV348: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SV357 ) @ SV220 ) )
| ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SV357 ) @ SV251 ) ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1202]) ).
thf(1236,plain,
! [SV221: $i,SV252: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV221 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( sK28_X @ SV252 @ SV221 ) ) @ ( sK29_SY342 @ SV252 @ SV221 ) ) @ SV252 ) )
= $false )
| ( ( SV252 = SV221 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1203]) ).
thf(1237,plain,
! [SV222: $i,SV253: $i,SV358: $i,SV349: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SV358 ) @ SV253 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SV358 ) @ SV222 ) ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1204]) ).
thf(1238,plain,
! [SV253: $i,SV222: $i,SV359: $i,SV350: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SV359 ) @ SV222 ) )
| ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SV359 ) @ SV253 ) ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1205]) ).
thf(1239,plain,
! [SV351: $i,SV325: $i,SV137: $i,SV73: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV325 ) @ SV351 ) )
= $false )
| ( ( SV73 = SV325 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1207]) ).
thf(1240,plain,
! [SV336: $i,SV326: $i,SV137: $i,SV73: $i] :
( ( ( ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV73 ) @ SV137 )
= ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV326 ) @ SV336 ) )
= $false )
| ( ( SV137 = SV336 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1208]) ).
thf(1241,plain,
! [SV352: $i,SV327: $i,SV138: $i,SV74: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV327 ) @ SV352 ) )
= $false )
| ( ( SV74 = SV327 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1210]) ).
thf(1242,plain,
! [SV337: $i,SV328: $i,SV138: $i,SV74: $i] :
( ( ( ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV74 ) @ SV138 )
= ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV328 ) @ SV337 ) )
= $false )
| ( ( SV138 = SV337 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1211]) ).
thf(1243,plain,
! [SV43: $i,SV108: $i,SV338: $i,SV329: $i,SV316: $i,SV307: $i,SV283: $i,SV257: $i,SV230: $i,SV184: $i,SV155: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SV329 ) ) ) @ ( red @ SV338 ) ) )
= $false )
| ( ( ( ( hAPP_l207779698on_val @ SV329 @ SV257 )
!= ( some_val @ SV108 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SV329 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SV338 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1244,plain,
! [SV330: $i,SV308: $i,SV284: $i,SV237: $i,SV195: $i,SV58: $i,SV170: $i,SV123: $i,SV259: $i,SV317: $i] :
( ( ( ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
!= ( some_val @ SV123 ) ) )
= $true )
| ( ( ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SV330 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SV330 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1213]) ).
thf(1245,plain,
! [SV360: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY1011: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV360 )
!= ( some_val @ SY1011 ) )
| ( SV360 = SV129 )
| ( SV360 != SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1216]) ).
thf(1246,plain,
! [SV361: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY1012: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV361 )
!= ( some_val @ SY1012 ) )
| ( SV361 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV361 )
= ( some_val @ SY1012 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1217]) ).
thf(1247,plain,
! [SV362: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY1013: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV362 )
!= ( some_val @ SY1013 ) )
| ( SV171 = SY1013 )
| ( SV362 != SV129 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1218]) ).
thf(1248,plain,
! [SV363: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ! [SY1014: $i] :
( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV363 )
!= ( some_val @ SY1014 ) )
| ( SV171 = SY1014 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV363 )
= ( some_val @ SY1014 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1219]) ).
thf(1249,plain,
! [SV64: $i,SV340: $i,SV171: $i,SV129: $i,SV332: $i] :
( ( ( ( SV332 != SV129 ) )
= $true )
| ( ( ( SV171 != SV340 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV332 )
= ( some_val @ SV340 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1220]) ).
thf(1250,plain,
! [SV171: $i,SV341: $i,SV64: $i,SV129: $i,SV333: $i] :
( ( ( SV333 = SV129 )
= $true )
| ( ( ( ( hAPP_l207779698on_val @ SV64 @ SV333 )
!= ( some_val @ SV341 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV333 )
= ( some_val @ SV341 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1251,plain,
! [SV205: $i,SV245: $i,SV353: $i,SV342: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SV353 ) @ SV245 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SV353 ) @ SV205 ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1223]) ).
thf(1252,plain,
! [SV245: $i,SV205: $i,SV354: $i,SV343: $i] :
( ( ( ~ ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SV354 ) @ SV205 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SV354 ) @ SV245 ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1224]) ).
thf(1253,plain,
! [SV320: $i,SV172: $i,SV311: $i,SV132: $i,SV210: $i,SV68: $i] :
( ( ( SV68 = SV210 )
= $false )
| ( ( ( SV132 != SV311 ) )
= $true )
| ( ( ( SV172 != SV320 ) )
= $true )
| ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1225]) ).
thf(1254,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) )
| ( SV68 = SV210 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1226]) ).
thf(1255,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ! [SY887: $i] :
( ! [SY888: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY887 @ SY888 ) )
| ( SV132 = SY887 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[1227]) ).
thf(1256,plain,
! [SV355: $i,SV344: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV344 @ SV355 ) ) )
= $true )
| ( ( SV172 = SV355 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1228]) ).
thf(1257,plain,
! [SV220: $i,SV251: $i,SV356: $i,SV347: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SV356 ) @ SV251 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SV356 ) @ SV220 ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1234]) ).
thf(1258,plain,
! [SV251: $i,SV220: $i,SV357: $i,SV348: $i] :
( ( ( ~ ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SV357 ) @ SV220 ) ) )
= $true )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SV357 ) @ SV251 ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1235]) ).
thf(1259,plain,
! [SV222: $i,SV253: $i,SV358: $i,SV349: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SV358 ) @ SV253 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SV358 ) @ SV222 ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1237]) ).
thf(1260,plain,
! [SV253: $i,SV222: $i,SV359: $i,SV350: $i] :
( ( ( ~ ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SV359 ) @ SV222 ) ) )
= $true )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SV359 ) @ SV253 ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1238]) ).
thf(1261,plain,
! [SV338: $i,SV316: $i,SV307: $i,SV230: $i,SV184: $i,SV155: $i,SV283: $i,SV43: $i,SV108: $i,SV257: $i,SV329: $i] :
( ( ( ( ( hAPP_l207779698on_val @ SV329 @ SV257 )
!= ( some_val @ SV108 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SV329 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SV338 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SV329 ) ) ) @ ( red @ SV338 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1243]) ).
thf(1262,plain,
! [SV330: $i,SV308: $i,SV284: $i,SV237: $i,SV195: $i,SV58: $i,SV170: $i,SV123: $i,SV259: $i,SV317: $i] :
( ( ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
= ( some_val @ SV123 ) )
= $false )
| ( ( ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
| ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SV330 ) ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SV330 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1244]) ).
thf(1263,plain,
! [SV360: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ! [SY1011: $i] :
( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV360 )
!= ( some_val @ SY1011 ) ) )
= $true )
| ( ( ( SV360 = SV129 )
| ( SV360 != SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1245]) ).
thf(1264,plain,
! [SV364: $i,SV361: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV361 )
!= ( some_val @ SV364 ) )
| ( SV361 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV361 )
= ( some_val @ SV364 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1246]) ).
thf(1265,plain,
! [SV365: $i,SV362: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV362 )
!= ( some_val @ SV365 ) )
| ( SV171 = SV365 )
| ( SV362 != SV129 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1247]) ).
thf(1266,plain,
! [SV366: $i,SV363: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV363 )
!= ( some_val @ SV366 ) )
| ( SV171 = SV366 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV363 )
= ( some_val @ SV366 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1248]) ).
thf(1267,plain,
! [SV64: $i,SV340: $i,SV171: $i,SV129: $i,SV332: $i] :
( ( ( SV332 = SV129 )
= $false )
| ( ( ( SV171 != SV340 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV332 )
= ( some_val @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1249]) ).
thf(1268,plain,
! [SV171: $i,SV129: $i,SV341: $i,SV333: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ SV64 @ SV333 )
= ( some_val @ SV341 ) )
= $false )
| ( ( SV333 = SV129 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV333 )
= ( some_val @ SV341 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1250]) ).
thf(1269,plain,
! [SV205: $i,SV245: $i,SV353: $i,SV342: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SV353 ) @ SV245 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV342 ) @ SV353 ) @ SV205 ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1251]) ).
thf(1270,plain,
! [SV245: $i,SV205: $i,SV354: $i,SV343: $i] :
( ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SV354 ) @ SV205 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ SV343 ) @ SV354 ) @ SV245 ) )
= $true )
| ( ( SV245 = SV205 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1271,plain,
! [SV320: $i,SV172: $i,SV210: $i,SV68: $i,SV311: $i,SV132: $i] :
( ( ( SV132 = SV311 )
= $false )
| ( ( SV68 = SV210 )
= $false )
| ( ( ( SV172 != SV320 ) )
= $true )
| ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1253]) ).
thf(1272,plain,
! [SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ! [SY885: $i,SY886: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SY885 @ SY886 ) ) )
= $true )
| ( ( SV68 = SV210 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1254]) ).
thf(1273,plain,
! [SV367: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ! [SY1015: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV367 @ SY1015 ) )
| ( SV132 = SV367 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1255]) ).
thf(1274,plain,
! [SV355: $i,SV344: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV344 @ SV355 ) )
= $false )
| ( ( SV172 = SV355 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1256]) ).
thf(1275,plain,
! [SV220: $i,SV251: $i,SV356: $i,SV347: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SV356 ) @ SV251 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV347 ) @ SV356 ) @ SV220 ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1257]) ).
thf(1276,plain,
! [SV251: $i,SV220: $i,SV357: $i,SV348: $i] :
( ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SV357 ) @ SV220 ) )
= $false )
| ( ( hBOOL @ ( member763590124on_val @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV348 ) @ SV357 ) @ SV251 ) )
= $true )
| ( ( SV251 = SV220 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1258]) ).
thf(1277,plain,
! [SV222: $i,SV253: $i,SV358: $i,SV349: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SV358 ) @ SV253 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV349 ) @ SV358 ) @ SV222 ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1259]) ).
thf(1278,plain,
! [SV253: $i,SV222: $i,SV359: $i,SV350: $i] :
( ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SV359 ) @ SV222 ) )
= $false )
| ( ( hBOOL @ ( member840932460on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV350 ) @ SV359 ) @ SV253 ) )
= $true )
| ( ( SV253 = SV222 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1260]) ).
thf(1279,plain,
! [SV338: $i,SV316: $i,SV307: $i,SV230: $i,SV184: $i,SV155: $i,SV283: $i,SV43: $i,SV108: $i,SV257: $i,SV329: $i] :
( ( ( ( hAPP_l207779698on_val @ SV329 @ SV257 )
= ( some_val @ SV108 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV283 ) ) @ SV155 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ SV230 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV257 @ SV43 @ ( seq_list_char @ ( lAss_list_char @ SV257 @ ( val_list_char @ SV108 ) ) @ SV307 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ ( fun_up1149430426on_val @ SV329 @ SV257 @ ( hAPP_l207779698on_val @ SV230 @ SV257 ) ) ) ) ) @ ( red @ SV338 ) ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV155 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV184 ) @ ( fun_up1149430426on_val @ SV230 @ SV257 @ ( some_val @ SV283 ) ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV307 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV316 ) @ SV329 ) ) ) @ ( red @ SV338 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1261]) ).
thf(1280,plain,
! [SV330: $i,SV317: $i,SV308: $i,SV284: $i,SV123: $i,SV237: $i,SV195: $i,SV58: $i,SV170: $i,SV259: $i] :
( ( ( hBOOL @ ( assigned @ SV259 @ SV170 ) )
= $true )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ SV170 ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ SV237 ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ ( block_list_char @ SV259 @ SV58 @ ( seq_list_char @ ( lAss_list_char @ SV259 @ ( val_list_char @ SV123 ) ) @ SV284 ) ) ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ ( fun_up1149430426on_val @ SV317 @ SV259 @ ( hAPP_l207779698on_val @ SV237 @ SV259 ) ) ) ) ) @ ( red @ SV330 ) ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV317 @ SV259 )
= ( some_val @ SV123 ) )
= $false )
| ( ( hBOOL @ ( member773094996on_val @ ( hAPP_P1886180715on_val @ ( hAPP_P1870962205on_val @ produc1441475159on_val @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV170 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV195 ) @ ( fun_up1149430426on_val @ SV237 @ SV259 @ none_val ) ) ) ) @ ( hAPP_P604205461on_val @ ( hAPP_e1659493427on_val @ produc1259058957on_val @ SV284 ) @ ( hAPP_f1727192346on_val @ ( hAPP_f1849790461on_val @ produc899768717on_val @ SV308 ) @ SV317 ) ) ) @ ( red @ SV330 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1262]) ).
thf(1281,plain,
! [SV368: $i,SV360: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV360 )
!= ( some_val @ SV368 ) ) )
= $true )
| ( ( ( SV360 = SV129 )
| ( SV360 != SV129 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1263]) ).
thf(1282,plain,
! [SV364: $i,SV361: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV361 )
!= ( some_val @ SV364 ) ) )
= $true )
| ( ( ( SV361 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV361 )
= ( some_val @ SV364 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1264]) ).
thf(1283,plain,
! [SV365: $i,SV362: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV362 )
!= ( some_val @ SV365 ) ) )
= $true )
| ( ( ( SV171 = SV365 )
| ( SV362 != SV129 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1265]) ).
thf(1284,plain,
! [SV366: $i,SV363: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV363 )
!= ( some_val @ SV366 ) ) )
= $true )
| ( ( ( SV171 = SV366 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV363 )
= ( some_val @ SV366 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1266]) ).
thf(1285,plain,
! [SV64: $i,SV129: $i,SV332: $i,SV340: $i,SV171: $i] :
( ( ( SV171 = SV340 )
= $false )
| ( ( SV332 = SV129 )
= $false )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV332 )
= ( some_val @ SV340 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1267]) ).
thf(1286,plain,
! [SV311: $i,SV132: $i,SV210: $i,SV68: $i,SV320: $i,SV172: $i] :
( ( ( SV172 = SV320 )
= $false )
| ( ( SV68 = SV210 )
= $false )
| ( ( SV132 = SV311 )
= $false )
| ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV311 @ SV320 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1271]) ).
thf(1287,plain,
! [SV369: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ! [SY1016: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV369 @ SY1016 ) ) )
= $true )
| ( ( SV68 = SV210 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1272]) ).
thf(1288,plain,
! [SV367: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ! [SY1015: $i] :
( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV367 @ SY1015 ) ) )
= $true )
| ( ( SV132 = SV367 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1273]) ).
thf(1289,plain,
! [SV368: $i,SV360: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV360 )
= ( some_val @ SV368 ) )
= $false )
| ( ( ( SV360 = SV129 )
| ( SV360 != SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1281]) ).
thf(1290,plain,
! [SV364: $i,SV361: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV361 )
= ( some_val @ SV364 ) )
= $false )
| ( ( ( SV361 = SV129 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV361 )
= ( some_val @ SV364 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1282]) ).
thf(1291,plain,
! [SV365: $i,SV362: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV362 )
= ( some_val @ SV365 ) )
= $false )
| ( ( ( SV171 = SV365 )
| ( SV362 != SV129 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1283]) ).
thf(1292,plain,
! [SV366: $i,SV363: $i,SV171: $i,SV129: $i,SV64: $i] :
( ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV363 )
= ( some_val @ SV366 ) )
= $false )
| ( ( ( SV171 = SV366 )
| ( ( hAPP_l207779698on_val @ SV64 @ SV363 )
= ( some_val @ SV366 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1284]) ).
thf(1293,plain,
! [SV370: $i,SV369: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV369 @ SV370 ) ) )
= $true )
| ( ( SV68 = SV210 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1287]) ).
thf(1294,plain,
! [SV371: $i,SV367: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
!= ( block_list_char @ SV210 @ SV367 @ SV371 ) ) )
= $true )
| ( ( SV132 = SV367 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1288]) ).
thf(1295,plain,
! [SV368: $i,SV171: $i,SV64: $i,SV129: $i,SV360: $i] :
( ( ( SV360 = SV129 )
= $true )
| ( ( ( SV360 != SV129 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV360 )
= ( some_val @ SV368 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1289]) ).
thf(1296,plain,
! [SV171: $i,SV364: $i,SV64: $i,SV129: $i,SV361: $i] :
( ( ( SV361 = SV129 )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV64 @ SV361 )
= ( some_val @ SV364 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV361 )
= ( some_val @ SV364 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1290]) ).
thf(1297,plain,
! [SV64: $i,SV129: $i,SV362: $i,SV365: $i,SV171: $i] :
( ( ( SV171 = SV365 )
= $true )
| ( ( ( SV362 != SV129 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV362 )
= ( some_val @ SV365 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1291]) ).
thf(1298,plain,
! [SV129: $i,SV363: $i,SV64: $i,SV366: $i,SV171: $i] :
( ( ( SV171 = SV366 )
= $true )
| ( ( ( hAPP_l207779698on_val @ SV64 @ SV363 )
= ( some_val @ SV366 ) )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV363 )
= ( some_val @ SV366 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1292]) ).
thf(1299,plain,
! [SV370: $i,SV369: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV369 @ SV370 ) )
= $false )
| ( ( SV68 = SV210 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1293]) ).
thf(1300,plain,
! [SV371: $i,SV367: $i,SV210: $i,SV172: $i,SV132: $i,SV68: $i] :
( ( ( ( block_list_char @ SV68 @ SV132 @ SV172 )
= ( block_list_char @ SV210 @ SV367 @ SV371 ) )
= $false )
| ( ( SV132 = SV367 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1301,plain,
! [SV368: $i,SV171: $i,SV64: $i,SV129: $i,SV360: $i] :
( ( ( SV360 = SV129 )
= $false )
| ( ( SV360 = SV129 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV360 )
= ( some_val @ SV368 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1295]) ).
thf(1302,plain,
! [SV64: $i,SV365: $i,SV171: $i,SV129: $i,SV362: $i] :
( ( ( SV362 = SV129 )
= $false )
| ( ( SV171 = SV365 )
= $true )
| ( ( ( hAPP_l207779698on_val @ ( fun_up1149430426on_val @ SV64 @ SV129 @ ( some_val @ SV171 ) ) @ SV362 )
= ( some_val @ SV365 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1297]) ).
thf(1303,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[372,1302,1301,1300,1299,1298,1296,1286,1285,1280,1279,1278,1277,1276,1275,1274,1270,1269,1268,1242,1241,1240,1239,1236,1233,1232,1231,1230,1229,1222,1215,1214,1209,1206,1197,1194,1179,1176,1167,1163,1150,1128,1127,1119,1112,1111,1106,1098,1097,1096,1095,1077,1076,1072,1070,1062,1058,1056,1055,1050,1044,1039,1038,1036,1023,1021,1016,1015,1012,1005,1004,1000,997,996,989,988,986,979,971,916,915,914,913,912,906,849,848,847,846,843,840,839,833,832,830,771,770,769,768,762,760,758,753,752,751,747,685,674,627,626,609,608,607,606,605,604,603,602,599,597,587,578,577,549,511,510,509,507,506,505,502,501,494,375,373]) ).
thf(1304,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[1303]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SWW478+1 : TPTP v8.1.0. Released v5.3.0.
% 0.10/0.11 % Command : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Sun Jun 5 22:10:34 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.43 .....
% 0.86/1.06
% 0.86/1.06 No.of.Axioms: 212
% 0.86/1.06
% 0.86/1.06 Length.of.Defs: 0
% 0.86/1.06
% 0.86/1.06 Contains.Choice.Funs: false
% 0.92/1.17 .............
% 1.13/1.33 (rf:2,axioms:90,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:214,loop_count:0,foatp_calls:0,translation:fof_full).............................................................................................................
% 2.25/2.49
% 2.25/2.49 ********************************
% 2.25/2.49 * All subproblems solved! *
% 2.25/2.49 ********************************
% 2.25/2.49 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:90,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1303,loop_count:0,foatp_calls:1,translation:fof_full)
% 2.72/2.92
% 2.72/2.92 %**** Beginning of derivation protocol ****
% 2.72/2.92 % SZS output start CNFRefutation
% See solution above
% 2.72/2.92
% 2.72/2.92 %**** End of derivation protocol ****
% 2.72/2.92 %**** no. of clauses in derivation: 1182 ****
% 2.72/2.92 %**** clause counter: 1303 ****
% 2.72/2.92
% 2.72/2.92 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:2,axioms:90,ps:3,u:5,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:73,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:1303,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------