%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP166^1 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:24:27 AM UTC 2026
% Result : Theorem 71.55s 14.61s
% Output : CNFRefutation 71.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 92
% Syntax : Number of formulae : 2516 ( 648 unt; 0 typ; 0 def)
% Number of atoms : 24289 (9796 equ; 0 cnn)
% Maximal formula atoms : 16 ( 9 avg)
% Number of connectives : 75636 (9670 ~;7360 |; 189 &;58156 @)
% ( 0 <=>; 261 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 6 avg)
% Number of types : 28 ( 27 usr)
% Number of type conns : 10039 (10039 >; 0 *; 0 +; 0 <<)
% Number of symbols : 167 ( 164 usr; 9 con; 0-13 aty)
% Number of variables : 13157 ( 944 ^;12098 !; 115 ?;13157 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_aexp,type,
aexp: $tType ).
thf(tp_bexp,type,
bexp: $tType ).
thf(tp_com,type,
com: $tType ).
thf(tp_int,type,
int: $tType ).
thf(tp_list_P1741976099ar_int,type,
list_P1741976099ar_int: $tType ).
thf(tp_list_char,type,
list_char: $tType ).
thf(tp_list_nat,type,
list_nat: $tType ).
thf(tp_list_typerep,type,
list_typerep: $tType ).
thf(tp_literal,type,
literal: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_produc1260470173ar_int,type,
produc1260470173ar_int: $tType ).
thf(tp_produc1346207591ar_int,type,
produc1346207591ar_int: $tType ).
thf(tp_produc1699244961st_nat,type,
produc1699244961st_nat: $tType ).
thf(tp_produc1788831497yperep,type,
produc1788831497yperep: $tType ).
thf(tp_produc490010537yperep,type,
produc490010537yperep: $tType ).
thf(tp_product_prod_nat_nat,type,
product_prod_nat_nat: $tType ).
thf(tp_set_Pr1097818217yperep,type,
set_Pr1097818217yperep: $tType ).
thf(tp_set_Pr1148378109ar_int,type,
set_Pr1148378109ar_int: $tType ).
thf(tp_set_Pr1333062727ar_int,type,
set_Pr1333062727ar_int: $tType ).
thf(tp_set_Pr1560408065st_nat,type,
set_Pr1560408065st_nat: $tType ).
thf(tp_set_Pr1986765409at_nat,type,
set_Pr1986765409at_nat: $tType ).
thf(tp_set_Pr446800905yperep,type,
set_Pr446800905yperep: $tType ).
thf(tp_set_li1762364675ar_int,type,
set_li1762364675ar_int: $tType ).
thf(tp_set_list_typerep,type,
set_list_typerep: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_set_typerep,type,
set_typerep: $tType ).
thf(tp_typerep,type,
typerep: $tType ).
thf(tp_append_nat,type,
append_nat: list_nat > list_nat > list_nat ).
thf(tp_append_typerep,type,
append_typerep: list_typerep > list_typerep > list_typerep ).
thf(tp_assign,type,
assign: list_char > aexp > com ).
thf(tp_b,type,
b: bexp ).
thf(tp_bNF_Gr1143394412nt_nat,type,
bNF_Gr1143394412nt_nat: set_Pr1148378109ar_int > set_Pr1986765409at_nat > ( produc1260470173ar_int > nat ) > set_Pr1333062727ar_int ).
thf(tp_bNF_Gr1247133574at_nat,type,
bNF_Gr1247133574at_nat: set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(tp_bNF_Gr1303086585yperep,type,
bNF_Gr1303086585yperep: set_list_typerep > list_typerep > set_typerep ).
thf(tp_bNF_Gr202451329ar_int,type,
bNF_Gr202451329ar_int: set_Pr1148378109ar_int > ( produc1260470173ar_int > com ) > ( produc1260470173ar_int > list_char > int ) > set_Pr1148378109ar_int ).
thf(tp_bNF_Gr457912949yperep,type,
bNF_Gr457912949yperep: set_list_typerep > typerep > set_list_typerep ).
thf(tp_bNF_Gr749752805at_nat,type,
bNF_Gr749752805at_nat: set_Pr1148378109ar_int > ( produc1260470173ar_int > nat ) > ( produc1260470173ar_int > nat ) > set_Pr1986765409at_nat ).
thf(tp_bNF_Gr808751971at_nat,type,
bNF_Gr808751971at_nat: set_nat > set_Pr1986765409at_nat > ( nat > nat ) > set_Pr1986765409at_nat ).
thf(tp_big_big_step,type,
big_big_step: produc1260470173ar_int > ( list_char > int ) > $o ).
thf(tp_bval,type,
bval: bexp > ( list_char > int ) > $o ).
thf(tp_c,type,
c: com ).
thf(tp_c2,type,
c2: com ).
thf(tp_collec1834387154ar_int,type,
collec1834387154ar_int: ( produc1346207591ar_int > $o ) > set_Pr1333062727ar_int ).
thf(tp_collec672902542ar_int,type,
collec672902542ar_int: ( list_P1741976099ar_int > $o ) > set_li1762364675ar_int ).
thf(tp_collec7649004at_nat,type,
collec7649004at_nat: ( product_prod_nat_nat > $o ) > set_Pr1986765409at_nat ).
thf(tp_collec770796680ar_int,type,
collec770796680ar_int: ( produc1260470173ar_int > $o ) > set_Pr1148378109ar_int ).
thf(tp_collect_list_typerep,type,
collect_list_typerep: ( list_typerep > $o ) > set_list_typerep ).
thf(tp_cons_P1254790739ar_int,type,
cons_P1254790739ar_int: produc1260470173ar_int > list_P1741976099ar_int > list_P1741976099ar_int ).
thf(tp_cons_nat,type,
cons_nat: nat > list_nat > list_nat ).
thf(tp_cons_typerep,type,
cons_typerep: typerep > list_typerep > list_typerep ).
thf(tp_gen_length_typerep,type,
gen_length_typerep: nat > list_typerep > nat ).
thf(tp_if,type,
if: bexp > com > com > com ).
thf(tp_k,type,
k: nat ).
thf(tp_ka,type,
ka: nat ).
thf(tp_lex_nat,type,
lex_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat ).
thf(tp_lex_typerep,type,
lex_typerep: set_Pr1097818217yperep > set_Pr446800905yperep ).
thf(tp_lexord_nat,type,
lexord_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat ).
thf(tp_lexord_typerep,type,
lexord_typerep: set_Pr1097818217yperep > set_Pr446800905yperep ).
thf(tp_listrel1_nat,type,
listrel1_nat: set_Pr1986765409at_nat > set_Pr1560408065st_nat ).
thf(tp_listrel1_typerep,type,
listrel1_typerep: set_Pr1097818217yperep > set_Pr446800905yperep ).
thf(tp_member100911538yperep,type,
member100911538yperep: produc1788831497yperep > set_Pr1097818217yperep > $o ).
thf(tp_member1812711762yperep,type,
member1812711762yperep: produc490010537yperep > set_Pr446800905yperep > $o ).
thf(tp_member1926390090st_nat,type,
member1926390090st_nat: produc1699244961st_nat > set_Pr1560408065st_nat > $o ).
thf(tp_member2052091212ar_int,type,
member2052091212ar_int: list_P1741976099ar_int > set_li1762364675ar_int > $o ).
thf(tp_member701585322at_nat,type,
member701585322at_nat: product_prod_nat_nat > set_Pr1986765409at_nat > $o ).
thf(tp_member92250950ar_int,type,
member92250950ar_int: produc1260470173ar_int > set_Pr1148378109ar_int > $o ).
thf(tp_member_list_typerep,type,
member_list_typerep: list_typerep > set_list_typerep > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_member_typerep,type,
member_typerep: typerep > set_typerep > $o ).
thf(tp_p,type,
p: ( list_char > int ) > ( list_char > int ) > $o ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_produc1193801173ar_int,type,
produc1193801173ar_int: com > ( list_char > int ) > produc1260470173ar_int ).
thf(tp_produc1625736153st_nat,type,
produc1625736153st_nat: list_nat > list_nat > produc1699244961st_nat ).
thf(tp_produc1695567329yperep,type,
produc1695567329yperep: list_typerep > list_typerep > produc490010537yperep ).
thf(tp_produc2071514689yperep,type,
produc2071514689yperep: typerep > typerep > produc1788831497yperep ).
thf(tp_produc317451735ar_int,type,
produc317451735ar_int: produc1260470173ar_int > produc1260470173ar_int > produc1346207591ar_int ).
thf(tp_product_Pair_nat_nat,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(tp_q,type,
q: ( list_char > int ) > ( list_char > int ) > $o ).
thf(tp_relati186416454e_flip,type,
relati186416454e_flip: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > $o ).
thf(tp_relati2102071307_hoare,type,
relati2102071307_hoare: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(tp_relati23543761ar_int,type,
relati23543761ar_int: ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > com > nat > ( list_char > int ) > ( list_char > int ) > $o ).
thf(tp_relati775585786_valid,type,
relati775585786_valid: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > $o ).
thf(tp_s,type,
s: list_char > int ).
thf(tp_s2,type,
s2: list_char > int ).
thf(tp_sK10_SY757,type,
sK10_SY757: bexp > com > com > list_char > int ).
thf(tp_sK11_SY1228,type,
sK11_SY1228: produc1260470173ar_int > ( produc1260470173ar_int > $o ) > list_char > int ).
thf(tp_sK12_SY992,type,
sK12_SY992: com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK13_SY631,type,
sK13_SY631: nat > nat ).
thf(tp_sK14_SY1068,type,
sK14_SY1068: com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK15_SY667,type,
sK15_SY667: nat > nat > ( nat > nat > $o ) > nat ).
thf(tp_sK16_SY693,type,
sK16_SY693: com > com > list_char > int ).
thf(tp_sK17_SY695,type,
sK17_SY695: com > com > list_char > int ).
thf(tp_sK18_SY1306,type,
sK18_SY1306: com > com > com > list_char > int ).
thf(tp_sK19_SY465,type,
sK19_SY465: nat > ( nat > $o ) > nat ).
thf(tp_sK1_SY433,type,
sK1_SY433: produc1260470173ar_int > com ).
thf(tp_sK20_SY1309,type,
sK20_SY1309: com > bexp > com > list_char > int ).
thf(tp_sK21_SY1316,type,
sK21_SY1316: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK22_SY582,type,
sK22_SY582: nat > ( nat > $o ) > nat ).
thf(tp_sK23_SY1356,type,
sK23_SY1356: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK24_SY672,type,
sK24_SY672: nat > ( nat > $o ) > nat ).
thf(tp_sK25_SY1364,type,
sK25_SY1364: com > com > list_char > int ).
thf(tp_sK26_SY1365,type,
sK26_SY1365: com > com > list_char > int ).
thf(tp_sK27_SV278,type,
sK27_SV278: set_Pr1148378109ar_int > set_Pr1148378109ar_int > com ).
thf(tp_sK28_SV279,type,
sK28_SV279: ( list_char > int ) > ( list_char > int ) > list_char ).
thf(tp_sK29_SY1196,type,
sK29_SY1196: ( list_char > int ) > com > ( list_char > int ) > com > list_char > int ).
thf(tp_sK2_SY589,type,
sK2_SY589: produc1260470173ar_int > com ).
thf(tp_sK30_SY668,type,
sK30_SY668: nat > nat > ( nat > nat > $o ) > nat ).
thf(tp_sK31_SV290,type,
sK31_SV290: set_Pr1148378109ar_int > set_Pr1148378109ar_int > list_char > int ).
thf(tp_sK32_SY1220,type,
sK32_SY1220: ( list_char > int ) > ( list_char > int ) > bexp > com > com > list_char > int ).
thf(tp_sK33_SV293,type,
sK33_SV293: set_Pr1148378109ar_int > com > ( list_char > int ) > ( list_char > int ) > list_char ).
thf(tp_sK34_SY944,type,
sK34_SY944: com > com > com > list_char > int ).
thf(tp_sK35_SY1410,type,
sK35_SY1410: com > bexp > ( list_char > int ) > ( list_char > int ) > com > list_char > int ).
thf(tp_sK36_SY761,type,
sK36_SY761: nat > list_typerep > typerep ).
thf(tp_sK37_SY1174,type,
sK37_SY1174: ( list_char > int ) > ( list_char > int ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat ).
thf(tp_sK38_SY895,type,
sK38_SY895: nat > list_typerep > typerep ).
thf(tp_sK39_SY1415,type,
sK39_SY1415: com > com > com > list_char > int ).
thf(tp_sK3_SY1033,type,
sK3_SY1033: produc1260470173ar_int > list_char > int ).
thf(tp_sK40_SY1158,type,
sK40_SY1158: ( list_char > int ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(tp_sK41_SV308,type,
sK41_SV308: ( produc1260470173ar_int > com ) > com > set_Pr1148378109ar_int > produc1260470173ar_int > ( produc1260470173ar_int > list_char > int ) > ( list_char > int ) > list_char ).
thf(tp_sK42_SY1417,type,
sK42_SY1417: bexp > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( list_char > int ) > ( list_char > int ) > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK43_SY669,type,
sK43_SY669: nat > nat > ( nat > nat > $o ) > nat ).
thf(tp_sK44_SY1390,type,
sK44_SY1390: com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK45_SY1424,type,
sK45_SY1424: bexp > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > com > ( list_char > int ) > ( list_char > int ) > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK46_SY1426,type,
sK46_SY1426: nat > nat > ( nat > nat > $o ) > nat ).
thf(tp_sK47_SY944,type,
sK47_SY944: com > com > com > list_char > int ).
thf(tp_sK48_SY1416,type,
sK48_SY1416: nat > list_typerep > list_typerep ).
thf(tp_sK49_SV325,type,
sK49_SV325: com > com > ( list_char > int ) > ( list_char > int ) > list_char ).
thf(tp_sK4_SY451,type,
sK4_SY451: produc1260470173ar_int > ( produc1260470173ar_int > $o ) > com ).
thf(tp_sK50_SY1158,type,
sK50_SY1158: ( list_char > int ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(tp_sK51_SY1433,type,
sK51_SY1433: ( ( list_char > int ) > ( list_char > int ) > $o ) > com > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK52_SV326,type,
sK52_SV326: com > com > ( list_char > int ) > ( list_char > int ) > list_char ).
thf(tp_sK53_SY1420,type,
sK53_SY1420: nat > list_typerep > list_typerep ).
thf(tp_sK54_SY1439,type,
sK54_SY1439: com > com > com > list_char > int ).
thf(tp_sK55_SY1158,type,
sK55_SY1158: list_char > ( list_char > int ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(tp_sK56_SY944,type,
sK56_SY944: com > com > com > list_char > int ).
thf(tp_sK57_SY1452,type,
sK57_SY1452: com > com > com > list_char > int ).
thf(tp_sK58_SY1406,type,
sK58_SY1406: ( list_char > int ) > nat > ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(tp_sK59_SY1343,type,
sK59_SY1343: ( list_char > int ) > ( list_char > int ) > com > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK5_SY496,type,
sK5_SY496: produc1260470173ar_int > ( produc1260470173ar_int > $o ) > com ).
thf(tp_sK60_SY1467,type,
sK60_SY1467: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > bexp > com > com > ( list_char > int ) > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK61_SY761,type,
sK61_SY761: list_typerep > typerep > nat > list_typerep > typerep ).
thf(tp_sK62_SY1458,type,
sK62_SY1458: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK63_SY1282,type,
sK63_SY1282: ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > list_char > int ).
thf(tp_sK64_SY895,type,
sK64_SY895: list_typerep > typerep > nat > list_typerep > typerep ).
thf(tp_sK65_SY1486,type,
sK65_SY1486: nat > typerep > list_typerep > list_typerep > list_typerep ).
thf(tp_sK66_SY1487,type,
sK66_SY1487: com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK67_SY1490,type,
sK67_SY1490: ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > list_char > int ).
thf(tp_sK68_SY1491,type,
sK68_SY1491: nat > typerep > list_typerep > list_typerep > list_typerep ).
thf(tp_sK69_SY1488,type,
sK69_SY1488: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK6_SY941,type,
sK6_SY941: produc1260470173ar_int > list_char > int ).
thf(tp_sK70_SY1403,type,
sK70_SY1403: ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK71_SY1497,type,
sK71_SY1497: com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK72_SY1498,type,
sK72_SY1498: bexp > com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK73_SY1343,type,
sK73_SY1343: ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > com > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK74_SY1406,type,
sK74_SY1406: ( list_char > int ) > ( list_char > int ) > nat > ( ( list_char > int ) > ( list_char > int ) > $o ) > bexp > ( list_char > int ) > com > list_char > int ).
thf(tp_sK75_SY1500,type,
sK75_SY1500: ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > nat > bexp > com > com > ( list_char > int ) > ( list_char > int ) > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK76_SY1403,type,
sK76_SY1403: ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK77_SY1512,type,
sK77_SY1512: ( list_char > int ) > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK78_SY1514,type,
sK78_SY1514: bexp > com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK79_SY1516,type,
sK79_SY1516: com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK7_SY722,type,
sK7_SY722: com > com > com > list_char > int ).
thf(tp_sK80_SY1403,type,
sK80_SY1403: ( list_char > int ) > nat > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK81_SY1517,type,
sK81_SY1517: bexp > com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > nat > ( list_char > int ) > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK82_SY1403,type,
sK82_SY1403: ( list_char > int ) > nat > ( list_char > int ) > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > com > ( list_char > int ) > com > bexp > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK83_SY1518,type,
sK83_SY1518: bexp > com > ( list_char > int ) > com > ( list_char > int ) > ( ( list_char > int ) > ( list_char > int ) > $o ) > ( list_char > int ) > ( list_char > int ) > nat > ( list_char > int ) > nat > ( nat > ( list_char > int ) > ( list_char > int ) > $o ) > list_char > int ).
thf(tp_sK8_SY449,type,
sK8_SY449: nat > nat ).
thf(tp_sK9_SY1222,type,
sK9_SY1222: produc1260470173ar_int > ( produc1260470173ar_int > $o ) > list_char > int ).
thf(tp_s_a,type,
s_a: list_char > int ).
thf(tp_sa,type,
sa: list_char > int ).
thf(tp_seq,type,
seq: com > com > com ).
thf(tp_set_Co1954412371ar_int,type,
set_Co1954412371ar_int: set_Pr1148378109ar_int > set_li1762364675ar_int > set_li1762364675ar_int ).
thf(tp_set_Cons_typerep,type,
set_Cons_typerep: set_typerep > set_list_typerep > set_list_typerep ).
thf(tp_size_com,type,
size_com: com > nat ).
thf(tp_size_list_typerep,type,
size_list_typerep: ( typerep > nat ) > list_typerep > nat ).
thf(tp_size_s416147576yperep,type,
size_s416147576yperep: list_typerep > nat ).
thf(tp_size_size_com,type,
size_size_com: com > nat ).
thf(tp_size_size_list_nat,type,
size_size_list_nat: list_nat > nat ).
thf(tp_size_size_typerep,type,
size_size_typerep: typerep > nat ).
thf(tp_size_typerep,type,
size_typerep: typerep > nat ).
thf(tp_skip,type,
skip: com ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_t,type,
t: list_char > int ).
thf(tp_t2,type,
t2: list_char > int ).
thf(tp_t_a,type,
t_a: list_char > int ).
thf(tp_ta,type,
ta: list_char > int ).
thf(tp_typerep2,type,
typerep2: literal > list_typerep > typerep ).
thf(tp_u,type,
u: list_char > int ).
thf(tp_ua,type,
ua: list_char > int ).
thf(tp_unique1592618082ux_nat,type,
unique1592618082ux_nat: product_prod_nat_nat > $o ).
thf(tp_while,type,
while: bexp > com > com ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(26,axiom,
! [N: nat,X4: typerep,Xs: list_typerep] :
( ( gen_length_typerep @ N @ ( cons_typerep @ X4 @ Xs ) )
= ( gen_length_typerep @ ( suc @ N ) @ Xs ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_195_gen__length__code_I2_J) ).
thf(32,axiom,
! [X4: typerep,Xs: list_typerep] :
( ( size_s416147576yperep @ ( cons_typerep @ X4 @ Xs ) )
= ( suc @ ( size_s416147576yperep @ Xs ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_189_length__Cons) ).
thf(33,axiom,
! [N: nat,Xs: list_typerep] :
( ( ( suc @ N )
= ( size_s416147576yperep @ Xs ) )
= ( ? [Y4: typerep,Ys: list_typerep] :
( ( Xs
= ( cons_typerep @ Y4 @ Ys ) )
& ( ( size_s416147576yperep @ Ys )
= N ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_188_Suc__length__conv) ).
thf(34,axiom,
! [Xs: list_typerep,N: nat] :
( ( ( size_s416147576yperep @ Xs )
= ( suc @ N ) )
= ( ? [Y4: typerep,Ys: list_typerep] :
( ( Xs
= ( cons_typerep @ Y4 @ Ys ) )
& ( ( size_s416147576yperep @ Ys )
= N ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_187_length__Suc__conv) ).
thf(38,axiom,
! [R3: com,S: list_char > int,R: set_Pr1148378109ar_int,S2: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ R3 @ S ) @ R )
=> ( ( S2 = S )
=> ( member92250950ar_int @ ( produc1193801173ar_int @ R3 @ S2 ) @ R ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_183_ssubst__Pair__rhs) ).
thf(62,axiom,
! [M: nat,N: nat] :
( ( ( plus_plus_nat @ M @ N )
= ( suc @ zero_zero_nat ) )
= ( ( ( M
= ( suc @ zero_zero_nat ) )
& ( N = zero_zero_nat ) )
| ( ( M = zero_zero_nat )
& ( N
= ( suc @ zero_zero_nat ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_159_add__is__1) ).
thf(63,axiom,
! [M: nat,N: nat] :
( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ M @ N ) )
= ( ( ( M
= ( suc @ zero_zero_nat ) )
& ( N = zero_zero_nat ) )
| ( ( M = zero_zero_nat )
& ( N
= ( suc @ zero_zero_nat ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_158_one__is__add) ).
thf(64,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com] :
( ( relati23543761ar_int @ P @ B @ C @ zero_zero_nat )
= P ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_157_get__back_Osimps_I1_J) ).
thf(70,axiom,
! [B: com,F2: produc1260470173ar_int > com,X4: produc1260470173ar_int,C: list_char > int,G2: produc1260470173ar_int > list_char > int,A4: set_Pr1148378109ar_int] :
( ( B
= ( F2 @ X4 ) )
=> ( ( C
= ( G2 @ X4 ) )
=> ( ( member92250950ar_int @ X4 @ A4 )
=> ( member92250950ar_int @ ( produc1193801173ar_int @ B @ C ) @ ( bNF_Gr202451329ar_int @ A4 @ F2 @ G2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_151_image2__eqI) ).
thf(73,axiom,
! [N: nat] :
( ( N != zero_zero_nat )
=> ? [M2: nat] :
( N
= ( suc @ M2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_148_not0__implies__Suc) ).
thf(74,axiom,
! [P: nat > $o,Nat: nat] :
( ( P @ zero_zero_nat )
=> ( ! [Nat3: nat] :
( ( P @ Nat3 )
=> ( P @ ( suc @ Nat3 ) ) )
=> ( P @ Nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_147_old_Onat_Oinducts) ).
thf(75,axiom,
! [Y: nat] :
( ( Y != zero_zero_nat )
=> ~ ! [Nat3: nat] :
( Y
!= ( suc @ Nat3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_146_old_Onat_Oexhaust) ).
thf(76,axiom,
! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_145_Zero__not__Suc) ).
thf(77,axiom,
! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_144_Zero__neq__Suc) ).
thf(78,axiom,
! [M: nat] :
( ( suc @ M )
!= zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_143_Suc__neq__Zero) ).
thf(79,axiom,
! [P: nat > $o,K: nat] :
( ( P @ K )
=> ( ! [N2: nat] :
( ( P @ ( suc @ N2 ) )
=> ( P @ N2 ) )
=> ( P @ zero_zero_nat ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_142_zero__induct) ).
thf(80,axiom,
! [P: nat > nat > $o,M: nat,N: nat] :
( ! [X3: nat] : ( P @ X3 @ zero_zero_nat )
=> ( ! [Y3: nat] : ( P @ zero_zero_nat @ ( suc @ Y3 ) )
=> ( ! [X3: nat,Y3: nat] :
( ( P @ X3 @ Y3 )
=> ( P @ ( suc @ X3 ) @ ( suc @ Y3 ) ) )
=> ( P @ M @ N ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_141_diff__induct) ).
thf(81,axiom,
! [P: nat > $o,N: nat] :
( ( P @ zero_zero_nat )
=> ( ! [N2: nat] :
( ( P @ N2 )
=> ( P @ ( suc @ N2 ) ) )
=> ( P @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_140_nat__induct) ).
thf(82,axiom,
! [Nat: nat,X2: nat] :
( ( Nat
= ( suc @ X2 ) )
=> ( Nat != zero_zero_nat ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_139_nat_OdiscI) ).
thf(83,axiom,
! [Nat2: nat] :
( zero_zero_nat
!= ( suc @ Nat2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_138_old_Onat_Odistinct_I1_J) ).
thf(84,axiom,
! [Nat2: nat] :
( ( suc @ Nat2 )
!= zero_zero_nat ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_137_old_Onat_Odistinct_I2_J) ).
thf(85,axiom,
! [X2: nat] :
( zero_zero_nat
!= ( suc @ X2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_136_nat_Odistinct_I1_J) ).
thf(102,axiom,
( bNF_Gr202451329ar_int
= ( ^ [A6: set_Pr1148378109ar_int,F: produc1260470173ar_int > com,G: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [Uu: produc1260470173ar_int] :
? [A5: produc1260470173ar_int] :
( ( Uu
= ( produc1193801173ar_int @ ( F @ A5 ) @ ( G @ A5 ) ) )
& ( member92250950ar_int @ A5 @ A6 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_119_image2__def) ).
thf(105,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ skip
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( while @ B @ C ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_116_ir__While__False) ).
thf(106,axiom,
! [B: bexp,C1: com,C22: com,S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C1 @ C22 ) @ S ) @ T )
=> ( ( ( bval @ B @ S )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C1 @ S ) @ T ) )
=> ~ ( ~ ( bval @ B @ S )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C22 @ S ) @ T ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_115_IfE) ).
thf(107,axiom,
! [B: bexp,S: list_char > int,C_1: com,T: list_char > int,C_2: com] :
( ( bval @ B @ S )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_1 @ S ) @ T )
=> ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C_1 @ C_2 ) @ S ) @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_114_IfTrue) ).
thf(108,axiom,
! [B: bexp,S: list_char > int,C_2: com,T: list_char > int,C_1: com] :
( ~ ( bval @ B @ S )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_2 @ S ) @ T )
=> ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C_1 @ C_2 ) @ S ) @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_113_IfFalse) ).
thf(109,axiom,
! [Q: ( list_char > int ) > ( list_char > int ) > $o,P: ( list_char > int ) > ( list_char > int ) > $o,C2: com] :
( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S8: list_char > int] :
( ( P @ T6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( relati2102071307_hoare @ P @ skip @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_112_ir__Skip) ).
thf(119,axiom,
! [B: bexp,C: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C @ C ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_102_triv__if) ).
thf(120,axiom,
! [B1: bexp,B22: bexp,C11: com,C12: com,C22: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B1 @ ( if @ B22 @ C11 @ C12 ) @ C22 ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ B22 @ ( if @ B1 @ C11 @ C22 ) @ ( if @ B1 @ C12 @ C22 ) ) @ S6 ) @ T4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_101_commute__if) ).
thf(127,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_1: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_2: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C_1
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_94_ir__If__True) ).
thf(128,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_2: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_1: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ C_2
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_93_ir__If__False) ).
thf(136,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ ( seq @ C @ ( while @ B @ C ) )
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( while @ B @ C ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_85_ir__While__True) ).
thf(137,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_2: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_1: com] :
( ( relati775585786_valid
@ ^ [A5: list_char > int,C3: list_char > int] :
( ( P @ A5 @ C3 )
& ~ ( bval @ B @ A5 ) )
@ C_2
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_84_If__False__ir__valid) ).
thf(138,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_1: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_2: com] :
( ( relati775585786_valid
@ ^ [A5: list_char > int,C3: list_char > int] :
( ( P @ A5 @ C3 )
& ( bval @ B @ A5 ) )
@ C_1
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_83_If__True__ir__valid) ).
thf(140,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( if @ B @ C1 @ C22 ) @ C2 @ Q )
=> ( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C1
@ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ T3 @ T5 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ( bval @ B @ S5 ) ) ) )
& ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ C22
@ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ T3 @ T5 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C22 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ~ ( bval @ B @ S5 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_81_ir__valid__If) ).
thf(143,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,K: nat,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ K ) @ ( while @ B @ C ) @ C2 @ Q )
=> ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( relati23543761ar_int @ P @ B @ C @ K @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C
@ skip
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( relati23543761ar_int @ P @ B @ C @ ( suc @ K ) @ T3 @ T5 )
& ? [U2: list_char > int,U3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ T3 ) @ U2 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ T5 ) @ U3 )
& ( Q @ U2 @ U3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_78_ir__valid__While1) ).
thf(144,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,S: list_char > int,S2: list_char > int] :
( ( relati775585786_valid @ P @ C @ C2 @ Q )
=> ( relati775585786_valid @ P @ C @ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ S @ S2 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_77_ir__valid__track__history) ).
thf(145,axiom,
! [S: list_char > int] : ( big_big_step @ ( produc1193801173ar_int @ skip @ S ) @ S ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_76_Skip) ).
thf(146,axiom,
! [S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ S ) @ T )
=> ( T = S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_75_SkipE) ).
thf(147,axiom,
! [C_1: com,S_1: list_char > int,S_2: list_char > int,C_2: com,S_3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C_1 @ S_1 ) @ S_2 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_2 @ S_2 ) @ S_3 )
=> ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C_1 @ C_2 ) @ S_1 ) @ S_3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_74_Seq) ).
thf(148,axiom,
! [C1: com,C22: com,C32: com,S: list_char > int,S2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ C1 @ C22 ) @ C32 ) @ S ) @ S2 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C1 @ ( seq @ C22 @ C32 ) ) @ S ) @ S2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_73_Seq__assoc) ).
thf(149,axiom,
! [C1: com,C22: com,S1: list_char > int,S32: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C1 @ C22 ) @ S1 ) @ S32 )
=> ~ ! [S_22: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C1 @ S1 ) @ S_22 )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C22 @ S_22 ) @ S32 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_72_SeqE) ).
thf(150,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( seq @ C1 @ C22 ) @ C2 @ Q )
=> ( relati775585786_valid @ P @ C1 @ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ? [U2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C22 @ T3 ) @ U2 )
& ( Q @ U2 @ T5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_71_ir__valid__Seq1) ).
thf(152,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( seq @ C1 @ C22 ) @ C2 @ Q )
=> ( relati775585786_valid
@ ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ? [U2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C22 @ T3 ) @ U2 )
& ( Q @ U2 @ T5 ) ) )
@ C22
@ skip
@ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_69_ir__valid__Seq1_H) ).
thf(153,axiom,
! [M: nat,N: nat] :
( ( plus_plus_nat @ ( suc @ M ) @ N )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_68_add__Suc) ).
thf(154,axiom,
! [A4: nat,K: nat,A: nat] :
( ( A4
= ( plus_plus_nat @ K @ A ) )
=> ( ( suc @ A4 )
= ( plus_plus_nat @ K @ ( suc @ A ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_67_nat__arith_Osuc1) ).
thf(155,axiom,
! [M: nat,N: nat] :
( ( plus_plus_nat @ ( suc @ M ) @ N )
= ( plus_plus_nat @ M @ ( suc @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_66_add__Suc__shift) ).
thf(161,axiom,
! [S2: list_char > int,T2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ S2 ) @ T2 )
= ( S2 = T2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_60_meh__simp) ).
thf(163,axiom,
! [M: nat,N: nat] :
( ( plus_plus_nat @ M @ ( suc @ N ) )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_58_add__Suc__right) ).
thf(165,axiom,
! [R: set_Pr1148378109ar_int,S9: set_Pr1148378109ar_int] :
( ( ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ R ) )
= ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ S9 ) ) )
= ( R = S9 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_56_pred__equals__eq2) ).
thf(168,axiom,
! [P: nat > ( list_char > int ) > ( list_char > int ) > $o,K: nat,B: bexp,C: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C2: com,T: list_char > int,T2: list_char > int] :
( ! [N2: nat,T6: list_char > int,T7: list_char > int] :
( ( P @ ( plus_plus_nat @ K @ ( suc @ N2 ) ) @ T6 @ T7 )
=> ? [S6: list_char > int] :
( ( P @ ( plus_plus_nat @ K @ N2 ) @ S6 @ T7 )
& ( bval @ B @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T6 ) ) )
=> ( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S6: list_char > int,S8: list_char > int] :
( ? [N3: nat] : ( P @ ( plus_plus_nat @ K @ N3 ) @ S6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S6 ) @ T6 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( ( Q @ T @ T2 )
=> ? [S3: list_char > int,S4: list_char > int] :
( ( P @ K @ S3 @ S4 )
& ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S3 ) @ T )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S4 ) @ T2 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_53_While__backwards__frontier__ir__valid_H) ).
thf(169,axiom,
! [Q: ( list_char > int ) > ( list_char > int ) > $o,P: ( list_char > int ) > ( list_char > int ) > $o,C2: com] :
( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S8: list_char > int] :
( ( P @ T6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( relati775585786_valid @ P @ skip @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_52_Skip__ir__valid) ).
thf(170,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,N: nat] :
( ( relati23543761ar_int @ P @ B @ C @ ( suc @ N ) )
= ( ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
& ( bval @ B @ S5 )
& ( relati23543761ar_int @ P @ B @ C @ N @ S5 @ T5 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_51_get__back_Osimps_I2_J) ).
thf(171,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ ( seq @ C @ ( while @ B @ C ) )
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( while @ B @ C ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_50_While__True__ir__valid) ).
thf(172,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C: com] :
( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ skip
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( while @ B @ C ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_49_While__False__ir__valid) ).
thf(174,axiom,
! [C: com,C2: com,C5: com] :
( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C5 @ S3 ) @ T6 ) )
=> ! [S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C5 @ S6 ) @ T4 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_47_sim__trans) ).
thf(175,axiom,
! [C: com,S: list_char > int,T: list_char > int,U: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ T )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ U )
=> ( U = T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_46_big__step__determ) ).
thf(176,axiom,
! [X4: nat,Y: nat] :
( ( ( suc @ X4 )
= ( suc @ Y ) )
=> ( X4 = Y ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_45_Suc__inject) ).
thf(177,axiom,
! [N: nat] :
( N
!= ( suc @ N ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_44_n__not__Suc__n) ).
thf(178,axiom,
! [P4: produc1260470173ar_int] :
? [X3: com,Y3: list_char > int] :
( P4
= ( produc1193801173ar_int @ X3 @ Y3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_43_surj__pair) ).
thf(182,axiom,
! [P: produc1260470173ar_int > $o,P4: produc1260470173ar_int] :
( ! [A3: com,B3: list_char > int] : ( P @ ( produc1193801173ar_int @ A3 @ B3 ) )
=> ( P @ P4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_39_prod__cases) ).
thf(184,axiom,
! [A: com,B: list_char > int,A2: com,B2: list_char > int] :
( ( ( produc1193801173ar_int @ A @ B )
= ( produc1193801173ar_int @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_37_Pair__inject) ).
thf(186,axiom,
! [Y: produc1260470173ar_int] :
~ ! [A3: com,B3: list_char > int] :
( Y
!= ( produc1193801173ar_int @ A3 @ B3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_35_old_Oprod_Oexhaust) ).
thf(188,axiom,
! [P: produc1260470173ar_int > $o,Prod: produc1260470173ar_int] :
( ! [A3: com,B3: list_char > int] : ( P @ ( produc1193801173ar_int @ A3 @ B3 ) )
=> ( P @ Prod ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_33_old_Oprod_Oinducts) ).
thf(190,axiom,
! [B: bexp,C: com,S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ T )
=> ( ( ( T = S )
=> ( bval @ B @ S ) )
=> ~ ( ( bval @ B @ S )
=> ! [S_22: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ S_22 )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_22 ) @ T ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_31_WhileE) ).
thf(191,axiom,
! [B: bexp,S_1: list_char > int,C: com,S_2: list_char > int,S_3: list_char > int] :
( ( bval @ B @ S_1 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C @ S_1 ) @ S_2 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_2 ) @ S_3 )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_1 ) @ S_3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_30_WhileTrue) ).
thf(192,axiom,
! [B: bexp,S: list_char > int,C: com] :
( ~ ( bval @ B @ S )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ S ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_29_WhileFalse) ).
thf(193,axiom,
( relati775585786_valid
= ( ^ [P3: ( list_char > int ) > ( list_char > int ) > $o,C3: com,C4: com,Q3: ( list_char > int ) > ( list_char > int ) > $o] :
! [T3: list_char > int,T5: list_char > int] :
( ( Q3 @ T3 @ T5 )
=> ? [S5: list_char > int,S7: list_char > int] :
( ( P3 @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C3 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C4 @ S7 ) @ T5 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_28_ir__valid__def) ).
thf(194,axiom,
! [C: com,C2: com,B: bexp] :
( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ! [S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C2 ) @ S6 ) @ T4 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_27_sim__while__cong) ).
thf(195,axiom,
! [B: bexp,C: com,S: list_char > int,T: list_char > int,C2: com] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ T )
=> ( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C2 ) @ S ) @ T ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_26_sim__while__cong__aux) ).
thf(196,axiom,
! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,K: nat,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ ( suc @ K ) ) @ ( while @ B @ C ) @ C2 @ Q )
=> ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ K ) @ ( while @ B @ C ) @ C2 @ Q ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_25_ir__valid__get__back) ).
thf(201,axiom,
! [C: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_20_sim__refl) ).
thf(202,axiom,
! [C: com,C2: com] :
( ( ! [S5: list_char > int,T3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S5 ) @ T3 ) ) )
= ( ! [S5: list_char > int,T3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C2 @ S5 ) @ T3 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_19_sim__sym) ).
thf(203,axiom,
! [T: list_char > int,U: list_char > int,S: list_char > int,S2: list_char > int,T2: list_char > int] :
( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
=> ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ T ) @ U )
=> ( ( big_big_step @ ( produc1193801173ar_int @ c @ S ) @ T )
=> ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ S2 ) @ T2 )
=> ( ( q @ U @ T2 )
=> ( ( bval @ b @ S )
=> ( ( relati23543761ar_int @ p @ b @ c @ ka @ S @ S2 )
=> ? [S3: list_char > int,S4: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ka @ S3 @ S4 )
& ( bval @ b @ S3 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S3 ) @ T )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S4 ) @ T2 ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_Suc_OIH) ).
thf(204,axiom,
! [A: com,B: list_char > int,A2: com,B2: list_char > int] :
( ( ( produc1193801173ar_int @ A @ B )
= ( produc1193801173ar_int @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_17_old_Oprod_Oinject) ).
thf(206,axiom,
! [X1: com,X2: list_char > int,Y1: com,Y2: list_char > int] :
( ( ( produc1193801173ar_int @ X1 @ X2 )
= ( produc1193801173ar_int @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_15_prod_Oinject) ).
thf(208,axiom,
! [Nat: nat,Nat2: nat] :
( ( ( suc @ Nat )
= ( suc @ Nat2 ) )
= ( Nat = Nat2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_13_old_Onat_Oinject) ).
thf(209,axiom,
! [X2: nat,Y2: nat] :
( ( ( suc @ X2 )
= ( suc @ Y2 ) )
= ( X2 = Y2 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_nat_Oinject) ).
thf(210,axiom,
relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) ) @ ( while @ b @ c ) @ c2 @ q,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_11_Suc_Oprems_I1_J) ).
thf(211,axiom,
big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ t2 ) @ u,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_10__092_060open_062_IWHILE_Ab_ADO_Ac_M_At_____J_A_092_060Rightarrow_062_Au_____092_060close_062) ).
thf(212,axiom,
big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ ta ) @ ua,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_9_Suc_Oprems_I2_J) ).
thf(213,axiom,
relati23543761ar_int @ p @ b @ c @ k @ s2 @ s,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_8__092_060open_062get__back_AP_Ab_Ac_Ak_As_____As_H_____092_060close_062) ).
thf(214,axiom,
q @ ua @ t_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_7_Suc_Oprems_I5_J) ).
thf(215,axiom,
big_big_step @ ( produc1193801173ar_int @ c @ s2 ) @ t2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_6__092_060open_062_Ic_M_As_____J_A_092_060Rightarrow_062_At_____092_060close_062) ).
thf(216,axiom,
big_big_step @ ( produc1193801173ar_int @ c2 @ s ) @ t,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_5__092_060open_062_Ic_H_M_As_H_____J_A_092_060Rightarrow_062_At_H_____092_060close_062) ).
thf(217,axiom,
relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_Suc_Oprems_I7_J) ).
thf(218,axiom,
big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3_Suc_Oprems_I4_J) ).
thf(219,axiom,
big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_2_Suc_Oprems_I3_J) ).
thf(220,axiom,
bval @ b @ s2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__092_060open_062bval_Ab_As_____092_060close_062) ).
thf(221,axiom,
bval @ b @ sa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_Suc_Oprems_I6_J) ).
thf(222,conjecture,
? [S6: list_char > int,S8: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
& ( bval @ b @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(223,negated_conjecture,
( ( ? [S6: list_char > int,S8: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
& ( bval @ b @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[222]) ).
thf(224,plain,
( ( ? [S6: list_char > int,S8: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
& ( bval @ b @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ) )
= $false ),
inference(unfold_def,[status(thm)],[223]) ).
thf(225,plain,
( ( ! [N: nat,X4: typerep,Xs: list_typerep] :
( ( gen_length_typerep @ N @ ( cons_typerep @ X4 @ Xs ) )
= ( gen_length_typerep @ ( suc @ N ) @ Xs ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(226,plain,
( ( ! [X4: typerep,Xs: list_typerep] :
( ( size_s416147576yperep @ ( cons_typerep @ X4 @ Xs ) )
= ( suc @ ( size_s416147576yperep @ Xs ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[32]) ).
thf(227,plain,
( ( ! [N: nat,Xs: list_typerep] :
( ( ( suc @ N )
= ( size_s416147576yperep @ Xs ) )
= ( ? [Y4: typerep,Ys: list_typerep] :
( ( Xs
= ( cons_typerep @ Y4 @ Ys ) )
& ( ( size_s416147576yperep @ Ys )
= N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[33]) ).
thf(228,plain,
( ( ! [Xs: list_typerep,N: nat] :
( ( ( size_s416147576yperep @ Xs )
= ( suc @ N ) )
= ( ? [Y4: typerep,Ys: list_typerep] :
( ( Xs
= ( cons_typerep @ Y4 @ Ys ) )
& ( ( size_s416147576yperep @ Ys )
= N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[34]) ).
thf(229,plain,
( ( ! [R3: com,S: list_char > int,R: set_Pr1148378109ar_int,S2: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ R3 @ S ) @ R )
=> ( ( S2 = S )
=> ( member92250950ar_int @ ( produc1193801173ar_int @ R3 @ S2 ) @ R ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[38]) ).
thf(230,plain,
( ( ! [M: nat,N: nat] :
( ( ( plus_plus_nat @ M @ N )
= ( suc @ zero_zero_nat ) )
= ( ( ( M
= ( suc @ zero_zero_nat ) )
& ( N = zero_zero_nat ) )
| ( ( M = zero_zero_nat )
& ( N
= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[62]) ).
thf(231,plain,
( ( ! [M: nat,N: nat] :
( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ M @ N ) )
= ( ( ( M
= ( suc @ zero_zero_nat ) )
& ( N = zero_zero_nat ) )
| ( ( M = zero_zero_nat )
& ( N
= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[63]) ).
thf(232,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com] :
( ( relati23543761ar_int @ P @ B @ C @ zero_zero_nat )
= P ) )
= $true ),
inference(unfold_def,[status(thm)],[64]) ).
thf(233,plain,
( ( ! [B: com,F2: produc1260470173ar_int > com,X4: produc1260470173ar_int,C: list_char > int,G2: produc1260470173ar_int > list_char > int,A4: set_Pr1148378109ar_int] :
( ( B
= ( F2 @ X4 ) )
=> ( ( C
= ( G2 @ X4 ) )
=> ( ( member92250950ar_int @ X4 @ A4 )
=> ( member92250950ar_int @ ( produc1193801173ar_int @ B @ C ) @ ( bNF_Gr202451329ar_int @ A4 @ F2 @ G2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[70]) ).
thf(234,plain,
( ( ! [N: nat] :
( ( N != zero_zero_nat )
=> ? [M2: nat] :
( N
= ( suc @ M2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[73]) ).
thf(235,plain,
( ( ! [P: nat > $o,Nat: nat] :
( ( P @ zero_zero_nat )
=> ( ! [Nat3: nat] :
( ( P @ Nat3 )
=> ( P @ ( suc @ Nat3 ) ) )
=> ( P @ Nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[74]) ).
thf(236,plain,
( ( ! [Y: nat] :
( ( Y != zero_zero_nat )
=> ~ ! [Nat3: nat] :
( Y
!= ( suc @ Nat3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[75]) ).
thf(237,plain,
( ( ! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ) )
= $true ),
inference(unfold_def,[status(thm)],[76]) ).
thf(238,plain,
( ( ! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ) )
= $true ),
inference(unfold_def,[status(thm)],[77]) ).
thf(239,plain,
( ( ! [M: nat] :
( ( suc @ M )
!= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[78]) ).
thf(240,plain,
( ( ! [P: nat > $o,K: nat] :
( ( P @ K )
=> ( ! [N2: nat] :
( ( P @ ( suc @ N2 ) )
=> ( P @ N2 ) )
=> ( P @ zero_zero_nat ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[79]) ).
thf(241,plain,
( ( ! [P: nat > nat > $o,M: nat,N: nat] :
( ! [X3: nat] : ( P @ X3 @ zero_zero_nat )
=> ( ! [Y3: nat] : ( P @ zero_zero_nat @ ( suc @ Y3 ) )
=> ( ! [X3: nat,Y3: nat] :
( ( P @ X3 @ Y3 )
=> ( P @ ( suc @ X3 ) @ ( suc @ Y3 ) ) )
=> ( P @ M @ N ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[80]) ).
thf(242,plain,
( ( ! [P: nat > $o,N: nat] :
( ( P @ zero_zero_nat )
=> ( ! [N2: nat] :
( ( P @ N2 )
=> ( P @ ( suc @ N2 ) ) )
=> ( P @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[81]) ).
thf(243,plain,
( ( ! [Nat: nat,X2: nat] :
( ( Nat
= ( suc @ X2 ) )
=> ( Nat != zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[82]) ).
thf(244,plain,
( ( ! [Nat2: nat] :
( zero_zero_nat
!= ( suc @ Nat2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[83]) ).
thf(245,plain,
( ( ! [Nat2: nat] :
( ( suc @ Nat2 )
!= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[84]) ).
thf(246,plain,
( ( ! [X2: nat] :
( zero_zero_nat
!= ( suc @ X2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[85]) ).
thf(247,plain,
( ( bNF_Gr202451329ar_int
= ( ^ [A6: set_Pr1148378109ar_int,F: produc1260470173ar_int > com,G: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [Uu: produc1260470173ar_int] :
? [A5: produc1260470173ar_int] :
( ( Uu
= ( produc1193801173ar_int @ ( F @ A5 ) @ ( G @ A5 ) ) )
& ( member92250950ar_int @ A5 @ A6 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[102]) ).
thf(248,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ skip
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[105]) ).
thf(249,plain,
( ( ! [B: bexp,C1: com,C22: com,S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C1 @ C22 ) @ S ) @ T )
=> ( ( ( bval @ B @ S )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C1 @ S ) @ T ) )
=> ~ ( ~ ( bval @ B @ S )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C22 @ S ) @ T ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[106]) ).
thf(250,plain,
( ( ! [B: bexp,S: list_char > int,C_1: com,T: list_char > int,C_2: com] :
( ( bval @ B @ S )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_1 @ S ) @ T )
=> ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C_1 @ C_2 ) @ S ) @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[107]) ).
thf(251,plain,
( ( ! [B: bexp,S: list_char > int,C_2: com,T: list_char > int,C_1: com] :
( ~ ( bval @ B @ S )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_2 @ S ) @ T )
=> ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C_1 @ C_2 ) @ S ) @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[108]) ).
thf(252,plain,
( ( ! [Q: ( list_char > int ) > ( list_char > int ) > $o,P: ( list_char > int ) > ( list_char > int ) > $o,C2: com] :
( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S8: list_char > int] :
( ( P @ T6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( relati2102071307_hoare @ P @ skip @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[109]) ).
thf(253,plain,
( ( ! [B: bexp,C: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C @ C ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[119]) ).
thf(254,plain,
( ( ! [B1: bexp,B22: bexp,C11: com,C12: com,C22: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B1 @ ( if @ B22 @ C11 @ C12 ) @ C22 ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ B22 @ ( if @ B1 @ C11 @ C22 ) @ ( if @ B1 @ C12 @ C22 ) ) @ S6 ) @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[120]) ).
thf(255,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_1: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_2: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C_1
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[127]) ).
thf(256,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_2: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_1: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ C_2
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[128]) ).
thf(257,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ ( seq @ C @ ( while @ B @ C ) )
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[136]) ).
thf(258,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_2: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_1: com] :
( ( relati775585786_valid
@ ^ [A5: list_char > int,C3: list_char > int] :
( ( P @ A5 @ C3 )
& ~ ( bval @ B @ A5 ) )
@ C_2
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[137]) ).
thf(259,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_1: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_2: com] :
( ( relati775585786_valid
@ ^ [A5: list_char > int,C3: list_char > int] :
( ( P @ A5 @ C3 )
& ( bval @ B @ A5 ) )
@ C_1
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[138]) ).
thf(260,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( if @ B @ C1 @ C22 ) @ C2 @ Q )
=> ( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C1
@ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ T3 @ T5 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ( bval @ B @ S5 ) ) ) )
& ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ C22
@ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ T3 @ T5 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C22 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ~ ( bval @ B @ S5 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[140]) ).
thf(261,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,K: nat,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ K ) @ ( while @ B @ C ) @ C2 @ Q )
=> ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( relati23543761ar_int @ P @ B @ C @ K @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C
@ skip
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( relati23543761ar_int @ P @ B @ C @ ( suc @ K ) @ T3 @ T5 )
& ? [U2: list_char > int,U3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ T3 ) @ U2 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ T5 ) @ U3 )
& ( Q @ U2 @ U3 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[143]) ).
thf(262,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,S: list_char > int,S2: list_char > int] :
( ( relati775585786_valid @ P @ C @ C2 @ Q )
=> ( relati775585786_valid @ P @ C @ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ S @ S2 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[144]) ).
thf(263,plain,
( ( ! [S: list_char > int] : ( big_big_step @ ( produc1193801173ar_int @ skip @ S ) @ S ) )
= $true ),
inference(unfold_def,[status(thm)],[145]) ).
thf(264,plain,
( ( ! [S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ S ) @ T )
=> ( T = S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[146]) ).
thf(265,plain,
( ( ! [C_1: com,S_1: list_char > int,S_2: list_char > int,C_2: com,S_3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C_1 @ S_1 ) @ S_2 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_2 @ S_2 ) @ S_3 )
=> ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C_1 @ C_2 ) @ S_1 ) @ S_3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[147]) ).
thf(266,plain,
( ( ! [C1: com,C22: com,C32: com,S: list_char > int,S2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ C1 @ C22 ) @ C32 ) @ S ) @ S2 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C1 @ ( seq @ C22 @ C32 ) ) @ S ) @ S2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[148]) ).
thf(267,plain,
( ( ! [C1: com,C22: com,S1: list_char > int,S32: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C1 @ C22 ) @ S1 ) @ S32 )
=> ~ ! [S_22: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C1 @ S1 ) @ S_22 )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C22 @ S_22 ) @ S32 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[149]) ).
thf(268,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( seq @ C1 @ C22 ) @ C2 @ Q )
=> ( relati775585786_valid @ P @ C1 @ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ? [U2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C22 @ T3 ) @ U2 )
& ( Q @ U2 @ T5 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[150]) ).
thf(269,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( seq @ C1 @ C22 ) @ C2 @ Q )
=> ( relati775585786_valid
@ ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ? [U2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C22 @ T3 ) @ U2 )
& ( Q @ U2 @ T5 ) ) )
@ C22
@ skip
@ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[152]) ).
thf(270,plain,
( ( ! [M: nat,N: nat] :
( ( plus_plus_nat @ ( suc @ M ) @ N )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[153]) ).
thf(271,plain,
( ( ! [A4: nat,K: nat,A: nat] :
( ( A4
= ( plus_plus_nat @ K @ A ) )
=> ( ( suc @ A4 )
= ( plus_plus_nat @ K @ ( suc @ A ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[154]) ).
thf(272,plain,
( ( ! [M: nat,N: nat] :
( ( plus_plus_nat @ ( suc @ M ) @ N )
= ( plus_plus_nat @ M @ ( suc @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[155]) ).
thf(273,plain,
( ( ! [S2: list_char > int,T2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ S2 ) @ T2 )
= ( S2 = T2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[161]) ).
thf(274,plain,
( ( ! [M: nat,N: nat] :
( ( plus_plus_nat @ M @ ( suc @ N ) )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[163]) ).
thf(275,plain,
( ( ! [R: set_Pr1148378109ar_int,S9: set_Pr1148378109ar_int] :
( ( ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ R ) )
= ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ S9 ) ) )
= ( R = S9 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[165]) ).
thf(276,plain,
( ( ! [P: nat > ( list_char > int ) > ( list_char > int ) > $o,K: nat,B: bexp,C: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C2: com,T: list_char > int,T2: list_char > int] :
( ! [N2: nat,T6: list_char > int,T7: list_char > int] :
( ( P @ ( plus_plus_nat @ K @ ( suc @ N2 ) ) @ T6 @ T7 )
=> ? [S6: list_char > int] :
( ( P @ ( plus_plus_nat @ K @ N2 ) @ S6 @ T7 )
& ( bval @ B @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T6 ) ) )
=> ( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S6: list_char > int,S8: list_char > int] :
( ? [N3: nat] : ( P @ ( plus_plus_nat @ K @ N3 ) @ S6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S6 ) @ T6 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( ( Q @ T @ T2 )
=> ? [S3: list_char > int,S4: list_char > int] :
( ( P @ K @ S3 @ S4 )
& ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S3 ) @ T )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S4 ) @ T2 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[168]) ).
thf(277,plain,
( ( ! [Q: ( list_char > int ) > ( list_char > int ) > $o,P: ( list_char > int ) > ( list_char > int ) > $o,C2: com] :
( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S8: list_char > int] :
( ( P @ T6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( relati775585786_valid @ P @ skip @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[169]) ).
thf(278,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,N: nat] :
( ( relati23543761ar_int @ P @ B @ C @ ( suc @ N ) )
= ( ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
& ( bval @ B @ S5 )
& ( relati23543761ar_int @ P @ B @ C @ N @ S5 @ T5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[170]) ).
thf(279,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ ( seq @ C @ ( while @ B @ C ) )
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[171]) ).
thf(280,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C: com] :
( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ skip
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[172]) ).
thf(281,plain,
( ( ! [C: com,C2: com,C5: com] :
( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C5 @ S3 ) @ T6 ) )
=> ! [S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C5 @ S6 ) @ T4 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[174]) ).
thf(282,plain,
( ( ! [C: com,S: list_char > int,T: list_char > int,U: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ T )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ U )
=> ( U = T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[175]) ).
thf(283,plain,
( ( ! [X4: nat,Y: nat] :
( ( ( suc @ X4 )
= ( suc @ Y ) )
=> ( X4 = Y ) ) )
= $true ),
inference(unfold_def,[status(thm)],[176]) ).
thf(284,plain,
( ( ! [N: nat] :
( N
!= ( suc @ N ) ) )
= $true ),
inference(unfold_def,[status(thm)],[177]) ).
thf(285,plain,
( ( ! [P4: produc1260470173ar_int] :
? [X3: com,Y3: list_char > int] :
( P4
= ( produc1193801173ar_int @ X3 @ Y3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[178]) ).
thf(286,plain,
( ( ! [P: produc1260470173ar_int > $o,P4: produc1260470173ar_int] :
( ! [A3: com,B3: list_char > int] : ( P @ ( produc1193801173ar_int @ A3 @ B3 ) )
=> ( P @ P4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[182]) ).
thf(287,plain,
( ( ! [A: com,B: list_char > int,A2: com,B2: list_char > int] :
( ( ( produc1193801173ar_int @ A @ B )
= ( produc1193801173ar_int @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[184]) ).
thf(288,plain,
( ( ! [Y: produc1260470173ar_int] :
~ ! [A3: com,B3: list_char > int] :
( Y
!= ( produc1193801173ar_int @ A3 @ B3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[186]) ).
thf(289,plain,
( ( ! [P: produc1260470173ar_int > $o,Prod: produc1260470173ar_int] :
( ! [A3: com,B3: list_char > int] : ( P @ ( produc1193801173ar_int @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(unfold_def,[status(thm)],[188]) ).
thf(290,plain,
( ( ! [B: bexp,C: com,S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ T )
=> ( ( ( T = S )
=> ( bval @ B @ S ) )
=> ~ ( ( bval @ B @ S )
=> ! [S_22: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ S_22 )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_22 ) @ T ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[190]) ).
thf(291,plain,
( ( ! [B: bexp,S_1: list_char > int,C: com,S_2: list_char > int,S_3: list_char > int] :
( ( bval @ B @ S_1 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C @ S_1 ) @ S_2 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_2 ) @ S_3 )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_1 ) @ S_3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(292,plain,
( ( ! [B: bexp,S: list_char > int,C: com] :
( ~ ( bval @ B @ S )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ S ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(293,plain,
( ( relati775585786_valid
= ( ^ [P3: ( list_char > int ) > ( list_char > int ) > $o,C3: com,C4: com,Q3: ( list_char > int ) > ( list_char > int ) > $o] :
! [T3: list_char > int,T5: list_char > int] :
( ( Q3 @ T3 @ T5 )
=> ? [S5: list_char > int,S7: list_char > int] :
( ( P3 @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C3 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C4 @ S7 ) @ T5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[193]) ).
thf(294,plain,
( ( ! [C: com,C2: com,B: bexp] :
( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ! [S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C2 ) @ S6 ) @ T4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[194]) ).
thf(295,plain,
( ( ! [B: bexp,C: com,S: list_char > int,T: list_char > int,C2: com] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ T )
=> ( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C2 ) @ S ) @ T ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[195]) ).
thf(296,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,K: nat,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ ( suc @ K ) ) @ ( while @ B @ C ) @ C2 @ Q )
=> ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ K ) @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(297,plain,
( ( ! [C: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[201]) ).
thf(298,plain,
( ( ! [C: com,C2: com] :
( ( ! [S5: list_char > int,T3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S5 ) @ T3 ) ) )
= ( ! [S5: list_char > int,T3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C2 @ S5 ) @ T3 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[202]) ).
thf(299,plain,
( ( ! [T: list_char > int,U: list_char > int,S: list_char > int,S2: list_char > int,T2: list_char > int] :
( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
=> ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ T ) @ U )
=> ( ( big_big_step @ ( produc1193801173ar_int @ c @ S ) @ T )
=> ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ S2 ) @ T2 )
=> ( ( q @ U @ T2 )
=> ( ( bval @ b @ S )
=> ( ( relati23543761ar_int @ p @ b @ c @ ka @ S @ S2 )
=> ? [S3: list_char > int,S4: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ka @ S3 @ S4 )
& ( bval @ b @ S3 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S3 ) @ T )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S4 ) @ T2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[203]) ).
thf(300,plain,
( ( ! [A: com,B: list_char > int,A2: com,B2: list_char > int] :
( ( ( produc1193801173ar_int @ A @ B )
= ( produc1193801173ar_int @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[204]) ).
thf(301,plain,
( ( ! [X1: com,X2: list_char > int,Y1: com,Y2: list_char > int] :
( ( ( produc1193801173ar_int @ X1 @ X2 )
= ( produc1193801173ar_int @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[206]) ).
thf(302,plain,
( ( ! [Nat: nat,Nat2: nat] :
( ( ( suc @ Nat )
= ( suc @ Nat2 ) )
= ( Nat = Nat2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[208]) ).
thf(303,plain,
( ( ! [X2: nat,Y2: nat] :
( ( ( suc @ X2 )
= ( suc @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[209]) ).
thf(304,plain,
( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) ) @ ( while @ b @ c ) @ c2 @ q )
= $true ),
inference(unfold_def,[status(thm)],[210]) ).
thf(305,plain,
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ t2 ) @ u )
= $true ),
inference(unfold_def,[status(thm)],[211]) ).
thf(306,plain,
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ ta ) @ ua )
= $true ),
inference(unfold_def,[status(thm)],[212]) ).
thf(307,plain,
( ( relati23543761ar_int @ p @ b @ c @ k @ s2 @ s )
= $true ),
inference(unfold_def,[status(thm)],[213]) ).
thf(308,plain,
( ( q @ ua @ t_a )
= $true ),
inference(unfold_def,[status(thm)],[214]) ).
thf(309,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c @ s2 ) @ t2 )
= $true ),
inference(unfold_def,[status(thm)],[215]) ).
thf(310,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s ) @ t )
= $true ),
inference(unfold_def,[status(thm)],[216]) ).
thf(311,plain,
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a )
= $true ),
inference(unfold_def,[status(thm)],[217]) ).
thf(312,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
= $true ),
inference(unfold_def,[status(thm)],[218]) ).
thf(313,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
= $true ),
inference(unfold_def,[status(thm)],[219]) ).
thf(314,plain,
( ( bval @ b @ s2 )
= $true ),
inference(unfold_def,[status(thm)],[220]) ).
thf(315,plain,
( ( bval @ b @ sa )
= $true ),
inference(unfold_def,[status(thm)],[221]) ).
thf(316,plain,
( ( ~ ? [S6: list_char > int,S8: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
& ( bval @ b @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[224]) ).
thf(317,plain,
( ( bval @ b @ sa )
= $true ),
inference(copy,[status(thm)],[315]) ).
thf(318,plain,
( ( bval @ b @ s2 )
= $true ),
inference(copy,[status(thm)],[314]) ).
thf(319,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c @ sa ) @ ta )
= $true ),
inference(copy,[status(thm)],[313]) ).
thf(320,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s_a ) @ t_a )
= $true ),
inference(copy,[status(thm)],[312]) ).
thf(321,plain,
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ sa @ s_a )
= $true ),
inference(copy,[status(thm)],[311]) ).
thf(322,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c2 @ s ) @ t )
= $true ),
inference(copy,[status(thm)],[310]) ).
thf(323,plain,
( ( big_big_step @ ( produc1193801173ar_int @ c @ s2 ) @ t2 )
= $true ),
inference(copy,[status(thm)],[309]) ).
thf(324,plain,
( ( q @ ua @ t_a )
= $true ),
inference(copy,[status(thm)],[308]) ).
thf(325,plain,
( ( relati23543761ar_int @ p @ b @ c @ k @ s2 @ s )
= $true ),
inference(copy,[status(thm)],[307]) ).
thf(326,plain,
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ ta ) @ ua )
= $true ),
inference(copy,[status(thm)],[306]) ).
thf(327,plain,
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ t2 ) @ u )
= $true ),
inference(copy,[status(thm)],[305]) ).
thf(328,plain,
( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) ) @ ( while @ b @ c ) @ c2 @ q )
= $true ),
inference(copy,[status(thm)],[304]) ).
thf(329,plain,
( ( ! [X2: nat,Y2: nat] :
( ( ( suc @ X2 )
= ( suc @ Y2 ) )
= ( X2 = Y2 ) ) )
= $true ),
inference(copy,[status(thm)],[303]) ).
thf(330,plain,
( ( ! [Nat: nat,Nat2: nat] :
( ( ( suc @ Nat )
= ( suc @ Nat2 ) )
= ( Nat = Nat2 ) ) )
= $true ),
inference(copy,[status(thm)],[302]) ).
thf(331,plain,
( ( ! [X1: com,X2: list_char > int,Y1: com,Y2: list_char > int] :
( ( ( produc1193801173ar_int @ X1 @ X2 )
= ( produc1193801173ar_int @ Y1 @ Y2 ) )
= ( ( X1 = Y1 )
& ( X2 = Y2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[301]) ).
thf(332,plain,
( ( ! [A: com,B: list_char > int,A2: com,B2: list_char > int] :
( ( ( produc1193801173ar_int @ A @ B )
= ( produc1193801173ar_int @ A2 @ B2 ) )
= ( ( A = A2 )
& ( B = B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[300]) ).
thf(333,plain,
( ( ! [T: list_char > int,U: list_char > int,S: list_char > int,S2: list_char > int,T2: list_char > int] :
( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
=> ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ T ) @ U )
=> ( ( big_big_step @ ( produc1193801173ar_int @ c @ S ) @ T )
=> ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ S2 ) @ T2 )
=> ( ( q @ U @ T2 )
=> ( ( bval @ b @ S )
=> ( ( relati23543761ar_int @ p @ b @ c @ ka @ S @ S2 )
=> ? [S3: list_char > int,S4: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ka @ S3 @ S4 )
& ( bval @ b @ S3 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S3 ) @ T )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S4 ) @ T2 ) ) ) ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[299]) ).
thf(334,plain,
( ( ! [C: com,C2: com] :
( ( ! [S5: list_char > int,T3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S5 ) @ T3 ) ) )
= ( ! [S5: list_char > int,T3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C2 @ S5 ) @ T3 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[298]) ).
thf(335,plain,
( ( ! [C: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 ) ) )
= $true ),
inference(copy,[status(thm)],[297]) ).
thf(336,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,K: nat,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ ( suc @ K ) ) @ ( while @ B @ C ) @ C2 @ Q )
=> ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ K ) @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[296]) ).
thf(337,plain,
( ( ! [B: bexp,C: com,S: list_char > int,T: list_char > int,C2: com] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ T )
=> ( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C2 ) @ S ) @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[295]) ).
thf(338,plain,
( ( ! [C: com,C2: com,B: bexp] :
( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ! [S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C2 ) @ S6 ) @ T4 ) ) ) )
= $true ),
inference(copy,[status(thm)],[294]) ).
thf(339,plain,
( ( relati775585786_valid
= ( ^ [P3: ( list_char > int ) > ( list_char > int ) > $o,C3: com,C4: com,Q3: ( list_char > int ) > ( list_char > int ) > $o] :
! [T3: list_char > int,T5: list_char > int] :
( ( Q3 @ T3 @ T5 )
=> ? [S5: list_char > int,S7: list_char > int] :
( ( P3 @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C3 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C4 @ S7 ) @ T5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[293]) ).
thf(340,plain,
( ( ! [B: bexp,S: list_char > int,C: com] :
( ~ ( bval @ B @ S )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ S ) ) )
= $true ),
inference(copy,[status(thm)],[292]) ).
thf(341,plain,
( ( ! [B: bexp,S_1: list_char > int,C: com,S_2: list_char > int,S_3: list_char > int] :
( ( bval @ B @ S_1 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C @ S_1 ) @ S_2 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_2 ) @ S_3 )
=> ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_1 ) @ S_3 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[291]) ).
thf(342,plain,
( ( ! [B: bexp,C: com,S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S ) @ T )
=> ( ( ( T = S )
=> ( bval @ B @ S ) )
=> ~ ( ( bval @ B @ S )
=> ! [S_22: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ S_22 )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S_22 ) @ T ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[290]) ).
thf(343,plain,
( ( ! [P: produc1260470173ar_int > $o,Prod: produc1260470173ar_int] :
( ! [A3: com,B3: list_char > int] : ( P @ ( produc1193801173ar_int @ A3 @ B3 ) )
=> ( P @ Prod ) ) )
= $true ),
inference(copy,[status(thm)],[289]) ).
thf(344,plain,
( ( ! [Y: produc1260470173ar_int] :
~ ! [A3: com,B3: list_char > int] :
( Y
!= ( produc1193801173ar_int @ A3 @ B3 ) ) )
= $true ),
inference(copy,[status(thm)],[288]) ).
thf(345,plain,
( ( ! [A: com,B: list_char > int,A2: com,B2: list_char > int] :
( ( ( produc1193801173ar_int @ A @ B )
= ( produc1193801173ar_int @ A2 @ B2 ) )
=> ~ ( ( A = A2 )
=> ( B != B2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[287]) ).
thf(346,plain,
( ( ! [P: produc1260470173ar_int > $o,P4: produc1260470173ar_int] :
( ! [A3: com,B3: list_char > int] : ( P @ ( produc1193801173ar_int @ A3 @ B3 ) )
=> ( P @ P4 ) ) )
= $true ),
inference(copy,[status(thm)],[286]) ).
thf(347,plain,
( ( ! [P4: produc1260470173ar_int] :
? [X3: com,Y3: list_char > int] :
( P4
= ( produc1193801173ar_int @ X3 @ Y3 ) ) )
= $true ),
inference(copy,[status(thm)],[285]) ).
thf(348,plain,
( ( ! [N: nat] :
( N
!= ( suc @ N ) ) )
= $true ),
inference(copy,[status(thm)],[284]) ).
thf(349,plain,
( ( ! [X4: nat,Y: nat] :
( ( ( suc @ X4 )
= ( suc @ Y ) )
=> ( X4 = Y ) ) )
= $true ),
inference(copy,[status(thm)],[283]) ).
thf(350,plain,
( ( ! [C: com,S: list_char > int,T: list_char > int,U: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ T )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C @ S ) @ U )
=> ( U = T ) ) ) )
= $true ),
inference(copy,[status(thm)],[282]) ).
thf(351,plain,
( ( ! [C: com,C2: com,C5: com] :
( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 ) )
=> ( ! [S3: list_char > int,T6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C2 @ S3 ) @ T6 )
= ( big_big_step @ ( produc1193801173ar_int @ C5 @ S3 ) @ T6 ) )
=> ! [S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C5 @ S6 ) @ T4 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[281]) ).
thf(352,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C: com] :
( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ skip
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[280]) ).
thf(353,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ ( seq @ C @ ( while @ B @ C ) )
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[279]) ).
thf(354,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,N: nat] :
( ( relati23543761ar_int @ P @ B @ C @ ( suc @ N ) )
= ( ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
& ( bval @ B @ S5 )
& ( relati23543761ar_int @ P @ B @ C @ N @ S5 @ T5 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[278]) ).
thf(355,plain,
( ( ! [Q: ( list_char > int ) > ( list_char > int ) > $o,P: ( list_char > int ) > ( list_char > int ) > $o,C2: com] :
( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S8: list_char > int] :
( ( P @ T6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( relati775585786_valid @ P @ skip @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[277]) ).
thf(356,plain,
( ( ! [P: nat > ( list_char > int ) > ( list_char > int ) > $o,K: nat,B: bexp,C: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C2: com,T: list_char > int,T2: list_char > int] :
( ! [N2: nat,T6: list_char > int,T7: list_char > int] :
( ( P @ ( plus_plus_nat @ K @ ( suc @ N2 ) ) @ T6 @ T7 )
=> ? [S6: list_char > int] :
( ( P @ ( plus_plus_nat @ K @ N2 ) @ S6 @ T7 )
& ( bval @ B @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T6 ) ) )
=> ( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S6: list_char > int,S8: list_char > int] :
( ? [N3: nat] : ( P @ ( plus_plus_nat @ K @ N3 ) @ S6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S6 ) @ T6 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( ( Q @ T @ T2 )
=> ? [S3: list_char > int,S4: list_char > int] :
( ( P @ K @ S3 @ S4 )
& ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ S3 ) @ T )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S4 ) @ T2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[276]) ).
thf(357,plain,
( ( ! [R: set_Pr1148378109ar_int,S9: set_Pr1148378109ar_int] :
( ( ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ R ) )
= ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ S9 ) ) )
= ( R = S9 ) ) )
= $true ),
inference(copy,[status(thm)],[275]) ).
thf(358,plain,
( ( ! [M: nat,N: nat] :
( ( plus_plus_nat @ M @ ( suc @ N ) )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[274]) ).
thf(359,plain,
( ( ! [S2: list_char > int,T2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ S2 ) @ T2 )
= ( S2 = T2 ) ) )
= $true ),
inference(copy,[status(thm)],[273]) ).
thf(360,plain,
( ( ! [M: nat,N: nat] :
( ( plus_plus_nat @ ( suc @ M ) @ N )
= ( plus_plus_nat @ M @ ( suc @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[272]) ).
thf(361,plain,
( ( ! [A4: nat,K: nat,A: nat] :
( ( A4
= ( plus_plus_nat @ K @ A ) )
=> ( ( suc @ A4 )
= ( plus_plus_nat @ K @ ( suc @ A ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[271]) ).
thf(362,plain,
( ( ! [M: nat,N: nat] :
( ( plus_plus_nat @ ( suc @ M ) @ N )
= ( suc @ ( plus_plus_nat @ M @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[270]) ).
thf(363,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( seq @ C1 @ C22 ) @ C2 @ Q )
=> ( relati775585786_valid
@ ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ? [U2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C22 @ T3 ) @ U2 )
& ( Q @ U2 @ T5 ) ) )
@ C22
@ skip
@ Q ) ) )
= $true ),
inference(copy,[status(thm)],[269]) ).
thf(364,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( seq @ C1 @ C22 ) @ C2 @ Q )
=> ( relati775585786_valid @ P @ C1 @ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ? [U2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C22 @ T3 ) @ U2 )
& ( Q @ U2 @ T5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[268]) ).
thf(365,plain,
( ( ! [C1: com,C22: com,S1: list_char > int,S32: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C1 @ C22 ) @ S1 ) @ S32 )
=> ~ ! [S_22: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C1 @ S1 ) @ S_22 )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C22 @ S_22 ) @ S32 ) ) ) )
= $true ),
inference(copy,[status(thm)],[267]) ).
thf(366,plain,
( ( ! [C1: com,C22: com,C32: com,S: list_char > int,S2: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ C1 @ C22 ) @ C32 ) @ S ) @ S2 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C1 @ ( seq @ C22 @ C32 ) ) @ S ) @ S2 ) ) )
= $true ),
inference(copy,[status(thm)],[266]) ).
thf(367,plain,
( ( ! [C_1: com,S_1: list_char > int,S_2: list_char > int,C_2: com,S_3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ C_1 @ S_1 ) @ S_2 )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_2 @ S_2 ) @ S_3 )
=> ( big_big_step @ ( produc1193801173ar_int @ ( seq @ C_1 @ C_2 ) @ S_1 ) @ S_3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[265]) ).
thf(368,plain,
( ( ! [S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ S ) @ T )
=> ( T = S ) ) )
= $true ),
inference(copy,[status(thm)],[264]) ).
thf(369,plain,
( ( ! [S: list_char > int] : ( big_big_step @ ( produc1193801173ar_int @ skip @ S ) @ S ) )
= $true ),
inference(copy,[status(thm)],[263]) ).
thf(370,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,S: list_char > int,S2: list_char > int] :
( ( relati775585786_valid @ P @ C @ C2 @ Q )
=> ( relati775585786_valid @ P @ C @ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ S @ S2 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[262]) ).
thf(371,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,K: nat,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ ( relati23543761ar_int @ P @ B @ C @ K ) @ ( while @ B @ C ) @ C2 @ Q )
=> ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( relati23543761ar_int @ P @ B @ C @ K @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C
@ skip
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( relati23543761ar_int @ P @ B @ C @ ( suc @ K ) @ T3 @ T5 )
& ? [U2: list_char > int,U3: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ B @ C ) @ T3 ) @ U2 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ T5 ) @ U3 )
& ( Q @ U2 @ U3 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[261]) ).
thf(372,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C1: com,C22: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ P @ ( if @ B @ C1 @ C22 ) @ C2 @ Q )
=> ( ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C1
@ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ T3 @ T5 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C1 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ( bval @ B @ S5 ) ) ) )
& ( relati775585786_valid
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ C22
@ C2
@ ^ [T3: list_char > int,T5: list_char > int] :
( ( Q @ T3 @ T5 )
& ? [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( big_big_step @ ( produc1193801173ar_int @ C22 @ S5 ) @ T3 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S7 ) @ T5 )
& ~ ( bval @ B @ S5 ) ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[260]) ).
thf(373,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_1: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_2: com] :
( ( relati775585786_valid
@ ^ [A5: list_char > int,C3: list_char > int] :
( ( P @ A5 @ C3 )
& ( bval @ B @ A5 ) )
@ C_1
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[259]) ).
thf(374,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_2: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_1: com] :
( ( relati775585786_valid
@ ^ [A5: list_char > int,C3: list_char > int] :
( ( P @ A5 @ C3 )
& ~ ( bval @ B @ A5 ) )
@ C_2
@ C2
@ Q )
=> ( relati775585786_valid @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[258]) ).
thf(375,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ ( seq @ C @ ( while @ B @ C ) )
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[257]) ).
thf(376,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_2: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_1: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ C_2
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[256]) ).
thf(377,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C_1: com,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C_2: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ( bval @ B @ S5 ) )
@ C_1
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( if @ B @ C_1 @ C_2 ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[255]) ).
thf(378,plain,
( ( ! [B1: bexp,B22: bexp,C11: com,C12: com,C22: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B1 @ ( if @ B22 @ C11 @ C12 ) @ C22 ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ B22 @ ( if @ B1 @ C11 @ C22 ) @ ( if @ B1 @ C12 @ C22 ) ) @ S6 ) @ T4 ) ) )
= $true ),
inference(copy,[status(thm)],[254]) ).
thf(379,plain,
( ( ! [B: bexp,C: com,S6: list_char > int,T4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C @ C ) @ S6 ) @ T4 )
= ( big_big_step @ ( produc1193801173ar_int @ C @ S6 ) @ T4 ) ) )
= $true ),
inference(copy,[status(thm)],[253]) ).
thf(380,plain,
( ( ! [Q: ( list_char > int ) > ( list_char > int ) > $o,P: ( list_char > int ) > ( list_char > int ) > $o,C2: com] :
( ! [T6: list_char > int,T7: list_char > int] :
( ( Q @ T6 @ T7 )
=> ? [S8: list_char > int] :
( ( P @ T6 @ S8 )
& ( big_big_step @ ( produc1193801173ar_int @ C2 @ S8 ) @ T7 ) ) )
=> ( relati2102071307_hoare @ P @ skip @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[252]) ).
thf(381,plain,
( ( ! [B: bexp,S: list_char > int,C_2: com,T: list_char > int,C_1: com] :
( ~ ( bval @ B @ S )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_2 @ S ) @ T )
=> ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C_1 @ C_2 ) @ S ) @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[251]) ).
thf(382,plain,
( ( ! [B: bexp,S: list_char > int,C_1: com,T: list_char > int,C_2: com] :
( ( bval @ B @ S )
=> ( ( big_big_step @ ( produc1193801173ar_int @ C_1 @ S ) @ T )
=> ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C_1 @ C_2 ) @ S ) @ T ) ) ) )
= $true ),
inference(copy,[status(thm)],[250]) ).
thf(383,plain,
( ( ! [B: bexp,C1: com,C22: com,S: list_char > int,T: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ B @ C1 @ C22 ) @ S ) @ T )
=> ( ( ( bval @ B @ S )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C1 @ S ) @ T ) )
=> ~ ( ~ ( bval @ B @ S )
=> ~ ( big_big_step @ ( produc1193801173ar_int @ C22 @ S ) @ T ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[249]) ).
thf(384,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C2: com,Q: ( list_char > int ) > ( list_char > int ) > $o,C: com] :
( ( relati2102071307_hoare
@ ^ [S5: list_char > int,S7: list_char > int] :
( ( P @ S5 @ S7 )
& ~ ( bval @ B @ S5 ) )
@ skip
@ C2
@ Q )
=> ( relati2102071307_hoare @ P @ ( while @ B @ C ) @ C2 @ Q ) ) )
= $true ),
inference(copy,[status(thm)],[248]) ).
thf(385,plain,
( ( bNF_Gr202451329ar_int
= ( ^ [A6: set_Pr1148378109ar_int,F: produc1260470173ar_int > com,G: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [Uu: produc1260470173ar_int] :
? [A5: produc1260470173ar_int] :
( ( Uu
= ( produc1193801173ar_int @ ( F @ A5 ) @ ( G @ A5 ) ) )
& ( member92250950ar_int @ A5 @ A6 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[247]) ).
thf(386,plain,
( ( ! [X2: nat] :
( zero_zero_nat
!= ( suc @ X2 ) ) )
= $true ),
inference(copy,[status(thm)],[246]) ).
thf(387,plain,
( ( ! [Nat2: nat] :
( ( suc @ Nat2 )
!= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[245]) ).
thf(388,plain,
( ( ! [Nat2: nat] :
( zero_zero_nat
!= ( suc @ Nat2 ) ) )
= $true ),
inference(copy,[status(thm)],[244]) ).
thf(389,plain,
( ( ! [Nat: nat,X2: nat] :
( ( Nat
= ( suc @ X2 ) )
=> ( Nat != zero_zero_nat ) ) )
= $true ),
inference(copy,[status(thm)],[243]) ).
thf(390,plain,
( ( ! [P: nat > $o,N: nat] :
( ( P @ zero_zero_nat )
=> ( ! [N2: nat] :
( ( P @ N2 )
=> ( P @ ( suc @ N2 ) ) )
=> ( P @ N ) ) ) )
= $true ),
inference(copy,[status(thm)],[242]) ).
thf(391,plain,
( ( ! [P: nat > nat > $o,M: nat,N: nat] :
( ! [X3: nat] : ( P @ X3 @ zero_zero_nat )
=> ( ! [Y3: nat] : ( P @ zero_zero_nat @ ( suc @ Y3 ) )
=> ( ! [X3: nat,Y3: nat] :
( ( P @ X3 @ Y3 )
=> ( P @ ( suc @ X3 ) @ ( suc @ Y3 ) ) )
=> ( P @ M @ N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[241]) ).
thf(392,plain,
( ( ! [P: nat > $o,K: nat] :
( ( P @ K )
=> ( ! [N2: nat] :
( ( P @ ( suc @ N2 ) )
=> ( P @ N2 ) )
=> ( P @ zero_zero_nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[240]) ).
thf(393,plain,
( ( ! [M: nat] :
( ( suc @ M )
!= zero_zero_nat ) )
= $true ),
inference(copy,[status(thm)],[239]) ).
thf(394,plain,
( ( ! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ) )
= $true ),
inference(copy,[status(thm)],[238]) ).
thf(395,plain,
( ( ! [M: nat] :
( zero_zero_nat
!= ( suc @ M ) ) )
= $true ),
inference(copy,[status(thm)],[237]) ).
thf(396,plain,
( ( ! [Y: nat] :
( ( Y != zero_zero_nat )
=> ~ ! [Nat3: nat] :
( Y
!= ( suc @ Nat3 ) ) ) )
= $true ),
inference(copy,[status(thm)],[236]) ).
thf(397,plain,
( ( ! [P: nat > $o,Nat: nat] :
( ( P @ zero_zero_nat )
=> ( ! [Nat3: nat] :
( ( P @ Nat3 )
=> ( P @ ( suc @ Nat3 ) ) )
=> ( P @ Nat ) ) ) )
= $true ),
inference(copy,[status(thm)],[235]) ).
thf(398,plain,
( ( ! [N: nat] :
( ( N != zero_zero_nat )
=> ? [M2: nat] :
( N
= ( suc @ M2 ) ) ) )
= $true ),
inference(copy,[status(thm)],[234]) ).
thf(399,plain,
( ( ! [B: com,F2: produc1260470173ar_int > com,X4: produc1260470173ar_int,C: list_char > int,G2: produc1260470173ar_int > list_char > int,A4: set_Pr1148378109ar_int] :
( ( B
= ( F2 @ X4 ) )
=> ( ( C
= ( G2 @ X4 ) )
=> ( ( member92250950ar_int @ X4 @ A4 )
=> ( member92250950ar_int @ ( produc1193801173ar_int @ B @ C ) @ ( bNF_Gr202451329ar_int @ A4 @ F2 @ G2 ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[233]) ).
thf(400,plain,
( ( ! [P: ( list_char > int ) > ( list_char > int ) > $o,B: bexp,C: com] :
( ( relati23543761ar_int @ P @ B @ C @ zero_zero_nat )
= P ) )
= $true ),
inference(copy,[status(thm)],[232]) ).
thf(401,plain,
( ( ! [M: nat,N: nat] :
( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ M @ N ) )
= ( ( ( M
= ( suc @ zero_zero_nat ) )
& ( N = zero_zero_nat ) )
| ( ( M = zero_zero_nat )
& ( N
= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[231]) ).
thf(402,plain,
( ( ! [M: nat,N: nat] :
( ( ( plus_plus_nat @ M @ N )
= ( suc @ zero_zero_nat ) )
= ( ( ( M
= ( suc @ zero_zero_nat ) )
& ( N = zero_zero_nat ) )
| ( ( M = zero_zero_nat )
& ( N
= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[230]) ).
thf(403,plain,
( ( ! [R3: com,S: list_char > int,R: set_Pr1148378109ar_int,S2: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ R3 @ S ) @ R )
=> ( ( S2 = S )
=> ( member92250950ar_int @ ( produc1193801173ar_int @ R3 @ S2 ) @ R ) ) ) )
= $true ),
inference(copy,[status(thm)],[229]) ).
thf(404,plain,
( ( ! [Xs: list_typerep,N: nat] :
( ( ( size_s416147576yperep @ Xs )
= ( suc @ N ) )
= ( ? [Y4: typerep,Ys: list_typerep] :
( ( Xs
= ( cons_typerep @ Y4 @ Ys ) )
& ( ( size_s416147576yperep @ Ys )
= N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[228]) ).
thf(405,plain,
( ( ! [N: nat,Xs: list_typerep] :
( ( ( suc @ N )
= ( size_s416147576yperep @ Xs ) )
= ( ? [Y4: typerep,Ys: list_typerep] :
( ( Xs
= ( cons_typerep @ Y4 @ Ys ) )
& ( ( size_s416147576yperep @ Ys )
= N ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[227]) ).
thf(406,plain,
( ( ! [X4: typerep,Xs: list_typerep] :
( ( size_s416147576yperep @ ( cons_typerep @ X4 @ Xs ) )
= ( suc @ ( size_s416147576yperep @ Xs ) ) ) )
= $true ),
inference(copy,[status(thm)],[226]) ).
thf(407,plain,
( ( ! [N: nat,X4: typerep,Xs: list_typerep] :
( ( gen_length_typerep @ N @ ( cons_typerep @ X4 @ Xs ) )
= ( gen_length_typerep @ ( suc @ N ) @ Xs ) ) )
= $true ),
inference(copy,[status(thm)],[225]) ).
thf(408,plain,
( ( ~ ? [S6: list_char > int,S8: list_char > int] :
( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ S6 @ S8 )
& ( bval @ b @ S6 )
& ( big_big_step @ ( produc1193801173ar_int @ c @ S6 ) @ ta )
& ( big_big_step @ ( produc1193801173ar_int @ c2 @ S8 ) @ t_a ) ) )
= $true ),
inference(copy,[status(thm)],[316]) ).
thf(409,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: nat,SX4: com,SX5: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ ( suc @ SX3 ) ) @ ( while @ SX1 @ SX2 ) @ SX4 @ SX5 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( while @ SX1 @ SX2 ) @ SX4 @ SX5 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[336]) ).
thf(410,plain,
( ( ~ ~ ! [SX0: list_char > int] :
~ ~ ! [SX1: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SX0 @ SX1 )
| ~ ( bval @ b @ SX0 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SX0 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SX1 ) @ t_a ) ) )
= $true ),
inference(unfold_def,[status(thm)],[408]) ).
thf(411,plain,
( ( ! [SX0: bexp,SX1: com,SX2: com,SX3: list_char > int,SX4: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SX0 @ SX1 @ SX2 ) @ SX3 ) @ SX4 )
| ~ ( ~ ( bval @ SX0 @ SX3 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX3 ) @ SX4 ) )
| ~ ( ~ ~ ( bval @ SX0 @ SX3 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX3 ) @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[383]) ).
thf(412,plain,
( ( ! [SX0: nat,SX1: nat] :
( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SX0 @ SX1 ) )
= ( ~ ( ( SX0
!= ( suc @ zero_zero_nat ) )
| ( SX1 != zero_zero_nat ) )
| ~ ( ( SX0 != zero_zero_nat )
| ( SX1
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[401]) ).
thf(413,plain,
( ( ! [SX0: produc1260470173ar_int] :
~ ! [SX1: com] :
~ ~ ! [SX2: list_char > int] :
( SX0
!= ( produc1193801173ar_int @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[347]) ).
thf(414,plain,
( ( ! [SX0: nat] :
( ( suc @ SX0 )
!= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[393]) ).
thf(415,plain,
( ( ! [SX0: com,SX1: com,SX2: com] :
( ~ ! [SX3: list_char > int,SX4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX3 ) @ SX4 )
= ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX3 ) @ SX4 ) )
| ~ ! [SX3: list_char > int,SX4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX3 ) @ SX4 )
= ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX3 ) @ SX4 ) )
| ! [SX3: list_char > int,SX4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX3 ) @ SX4 )
= ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX3 ) @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[351]) ).
thf(416,plain,
( ( ! [SX0: bexp,SX1: com,SX2: list_char > int,SX3: list_char > int,SX4: com] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX1 ) @ SX2 ) @ SX3 )
| ~ ! [SX5: list_char > int,SX6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX5 ) @ SX6 )
= ( big_big_step @ ( produc1193801173ar_int @ SX4 @ SX5 ) @ SX6 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX4 ) @ SX2 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[337]) ).
thf(417,plain,
( ( ! [SX0: nat] :
( ~ ( ( SX0 != zero_zero_nat ) )
| ~ ! [SX1: nat] :
( SX0
!= ( suc @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[396]) ).
thf(418,plain,
( ( ! [SX0: produc1260470173ar_int > $o,SX1: produc1260470173ar_int] :
( ~ ! [SX2: com,SX3: list_char > int] : ( SX0 @ ( produc1193801173ar_int @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[346]) ).
thf(419,plain,
( ( ! [SX0: bexp,SX1: list_char > int,SX2: com,SX3: list_char > int,SX4: list_char > int] :
( ~ ( bval @ SX0 @ SX1 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX1 ) @ SX3 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX2 ) @ SX3 ) @ SX4 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX2 ) @ SX1 ) @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[341]) ).
thf(420,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o,SX5: com] :
( ~ ( relati2102071307_hoare
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ~ ( bval @ SX1 @ SX6 ) )
@ SX2
@ SX3
@ SX4 )
| ( relati2102071307_hoare @ SX0 @ ( if @ SX1 @ SX5 @ SX2 ) @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[376]) ).
thf(421,plain,
( ( ! [SX0: nat > $o,SX1: nat] :
( ~ ( SX0 @ zero_zero_nat )
| ~ ! [SX2: nat] :
( ~ ( SX0 @ SX2 )
| ( SX0 @ ( suc @ SX2 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[397]) ).
thf(422,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: ( list_char > int ) > ( list_char > int ) > $o,SX4: com] :
( ~ ( relati775585786_valid
@ ^ [SX5: list_char > int,SX6: list_char > int] :
~ ( ~ ( SX0 @ SX5 @ SX6 )
| ~ ~ ( bval @ SX1 @ SX5 ) )
@ skip
@ SX2
@ SX3 )
| ( relati775585786_valid @ SX0 @ ( while @ SX1 @ SX4 ) @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[352]) ).
thf(423,plain,
( ( ! [SX0: com,SX1: list_char > int,SX2: list_char > int,SX3: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX1 ) @ SX2 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX1 ) @ SX3 )
| ( SX3 = SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[350]) ).
thf(424,plain,
( ( ! [SX0: com,SX1: list_char > int,SX2: list_char > int,SX3: com,SX4: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX1 ) @ SX2 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX3 @ SX2 ) @ SX4 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SX0 @ SX3 ) @ SX1 ) @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[367]) ).
thf(425,plain,
( ( ! [SX0: nat,SX1: nat,SX2: nat] :
( ( SX0
!= ( plus_plus_nat @ SX1 @ SX2 ) )
| ( ( suc @ SX0 )
= ( plus_plus_nat @ SX1 @ ( suc @ SX2 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[361]) ).
thf(426,plain,
( ( ! [SX0: com,SX1: com,SX2: bexp] :
( ~ ! [SX3: list_char > int,SX4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX3 ) @ SX4 )
= ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX3 ) @ SX4 ) )
| ! [SX3: list_char > int,SX4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX2 @ SX0 ) @ SX3 ) @ SX4 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX2 @ SX1 ) @ SX3 ) @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[338]) ).
thf(427,plain,
( ( ! [SX0: nat] :
( zero_zero_nat
!= ( suc @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[394]) ).
thf(428,plain,
( ( ! [SX0: nat,SX1: list_typerep] :
( ( ( suc @ SX0 )
= ( size_s416147576yperep @ SX1 ) )
= ( ~ ! [SX2: typerep] :
~ ~ ! [SX3: list_typerep] :
~ ~ ( ( SX1
!= ( cons_typerep @ SX2 @ SX3 ) )
| ( ( size_s416147576yperep @ SX3 )
!= SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[405]) ).
thf(429,plain,
( ( ! [SX0: nat,SX1: nat] :
( ( ( plus_plus_nat @ SX0 @ SX1 )
= ( suc @ zero_zero_nat ) )
= ( ~ ( ( SX0
!= ( suc @ zero_zero_nat ) )
| ( SX1 != zero_zero_nat ) )
| ~ ( ( SX0 != zero_zero_nat )
| ( SX1
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[402]) ).
thf(430,plain,
( ( ! [SX0: bexp,SX1: list_char > int,SX2: com,SX3: list_char > int,SX4: com] :
( ~ ( bval @ SX0 @ SX1 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX1 ) @ SX3 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SX0 @ SX2 @ SX4 ) @ SX1 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[382]) ).
thf(431,plain,
( ( ! [SX0: produc1260470173ar_int > $o,SX1: produc1260470173ar_int] :
( ~ ! [SX2: com,SX3: list_char > int] : ( SX0 @ ( produc1193801173ar_int @ SX2 @ SX3 ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[343]) ).
thf(432,plain,
( ( ! [SX0: com,SX1: list_char > int,SX2: com,SX3: list_char > int] :
( ( ( produc1193801173ar_int @ SX0 @ SX1 )
= ( produc1193801173ar_int @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[332]) ).
thf(433,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: com,SX2: com,SX3: ( list_char > int ) > ( list_char > int ) > $o,SX4: list_char > int,SX5: list_char > int] :
( ~ ( relati775585786_valid @ SX0 @ SX1 @ SX2 @ SX3 )
| ( relati775585786_valid @ SX0 @ SX1 @ SX2
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX3 @ SX4 @ SX5 )
| ~ ~ ! [SX8: list_char > int] :
~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SX0 @ SX8 @ SX9 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX8 ) @ SX6 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX9 ) @ SX7 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(434,plain,
( ( ! [SX0: bexp,SX1: list_char > int,SX2: com] :
( ~ ~ ( bval @ SX0 @ SX1 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX2 ) @ SX1 ) @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[340]) ).
thf(435,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: com,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SX0 @ ( seq @ SX1 @ SX2 ) @ SX3 @ SX4 )
| ( relati775585786_valid
@ ^ [SX5: list_char > int,SX6: list_char > int] :
~ ! [SX7: list_char > int] :
~ ~ ! [SX8: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX0 @ SX7 @ SX8 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX7 ) @ SX5 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX3 @ SX8 ) @ SX6 ) )
| ~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX5 ) @ SX9 )
| ~ ( SX4 @ SX9 @ SX6 ) ) )
@ SX2
@ skip
@ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[363]) ).
thf(436,plain,
( ( ! [SX0: list_char > int,SX1: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SX0 ) @ SX1 )
| ( SX1 = SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[368]) ).
thf(437,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o,SX5: com] :
( ~ ( relati775585786_valid
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ( bval @ SX1 @ SX6 ) )
@ SX2
@ SX3
@ SX4 )
| ( relati775585786_valid @ SX0 @ ( if @ SX1 @ SX2 @ SX5 ) @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[373]) ).
thf(438,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: ( list_char > int ) > ( list_char > int ) > $o,SX2: com] :
( ~ ! [SX3: list_char > int,SX4: list_char > int] :
( ~ ( SX0 @ SX3 @ SX4 )
| ~ ! [SX5: list_char > int] :
~ ~ ( ~ ( SX1 @ SX3 @ SX5 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX5 ) @ SX4 ) ) )
| ( relati2102071307_hoare @ SX1 @ skip @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[380]) ).
thf(439,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: com,SX5: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SX0 @ ( if @ SX1 @ SX2 @ SX3 ) @ SX4 @ SX5 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ( bval @ SX1 @ SX6 ) )
@ SX2
@ SX4
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX5 @ SX6 @ SX7 )
| ~ ~ ! [SX8: list_char > int] :
~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX0 @ SX8 @ SX9 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX8 ) @ SX6 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX4 @ SX9 ) @ SX7 ) )
| ~ ( bval @ SX1 @ SX8 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ~ ( bval @ SX1 @ SX6 ) )
@ SX3
@ SX4
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX5 @ SX6 @ SX7 )
| ~ ~ ! [SX8: list_char > int] :
~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX0 @ SX8 @ SX9 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX3 @ SX8 ) @ SX6 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX4 @ SX9 ) @ SX7 ) )
| ~ ~ ( bval @ SX1 @ SX8 ) ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[372]) ).
thf(440,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o,SX5: com] :
( ~ ( relati775585786_valid
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ~ ( bval @ SX1 @ SX6 ) )
@ SX2
@ SX3
@ SX4 )
| ( relati775585786_valid @ SX0 @ ( if @ SX1 @ SX5 @ SX2 ) @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[374]) ).
thf(441,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: ( list_char > int ) > ( list_char > int ) > $o,SX4: com] :
( ~ ( relati2102071307_hoare
@ ^ [SX5: list_char > int,SX6: list_char > int] :
~ ( ~ ( SX0 @ SX5 @ SX6 )
| ~ ~ ( bval @ SX1 @ SX5 ) )
@ skip
@ SX2
@ SX3 )
| ( relati2102071307_hoare @ SX0 @ ( while @ SX1 @ SX4 ) @ SX2 @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[384]) ).
thf(442,plain,
( ( ! [SX0: nat] :
( SX0
!= ( suc @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[348]) ).
thf(443,plain,
( ( ! [SX0: bexp,SX1: com,SX2: list_char > int,SX3: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX1 ) @ SX2 ) @ SX3 )
| ~ ( ( SX3 != SX2 )
| ( bval @ SX0 @ SX2 ) )
| ~ ( ~ ( bval @ SX0 @ SX2 )
| ! [SX4: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX2 ) @ SX4 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX0 @ SX1 ) @ SX4 ) @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[342]) ).
thf(444,plain,
( ( ! [SX0: com,SX1: list_char > int,SX2: com,SX3: list_char > int] :
( ( ( produc1193801173ar_int @ SX0 @ SX1 )
!= ( produc1193801173ar_int @ SX2 @ SX3 ) )
| ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[345]) ).
thf(445,plain,
( ( relati775585786_valid
= ( ^ [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: com,SX2: com,SX3: ( list_char > int ) > ( list_char > int ) > $o] :
! [SX4: list_char > int,SX5: list_char > int] :
( ~ ( SX3 @ SX4 @ SX5 )
| ~ ! [SX6: list_char > int] :
~ ~ ! [SX7: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX6 ) @ SX4 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX7 ) @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[339]) ).
thf(446,plain,
( ( ! [SX0: nat] :
( zero_zero_nat
!= ( suc @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[388]) ).
thf(447,plain,
( ( ! [SX0: com,SX1: list_char > int,SX2: com,SX3: list_char > int] :
( ( ( produc1193801173ar_int @ SX0 @ SX1 )
= ( produc1193801173ar_int @ SX2 @ SX3 ) )
= ( ~ ( ( SX0 != SX2 )
| ( SX1 != SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[331]) ).
thf(448,plain,
( ( ! [SX0: nat > $o,SX1: nat] :
( ~ ( SX0 @ zero_zero_nat )
| ~ ! [SX2: nat] :
( ~ ( SX0 @ SX2 )
| ( SX0 @ ( suc @ SX2 ) ) )
| ( SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[390]) ).
thf(449,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati2102071307_hoare
@ ^ [SX5: list_char > int,SX6: list_char > int] :
~ ( ~ ( SX0 @ SX5 @ SX6 )
| ~ ( bval @ SX1 @ SX5 ) )
@ ( seq @ SX2 @ ( while @ SX1 @ SX2 ) )
@ SX3
@ SX4 )
| ( relati2102071307_hoare @ SX0 @ ( while @ SX1 @ SX2 ) @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[375]) ).
thf(450,plain,
( ( ! [SX0: produc1260470173ar_int] :
~ ! [SX1: com,SX2: list_char > int] :
( SX0
!= ( produc1193801173ar_int @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[344]) ).
thf(451,plain,
( ( ! [SX0: com,SX1: produc1260470173ar_int > com,SX2: produc1260470173ar_int,SX3: list_char > int,SX4: produc1260470173ar_int > list_char > int,SX5: set_Pr1148378109ar_int] :
( ( SX0
!= ( SX1 @ SX2 ) )
| ( SX3
!= ( SX4 @ SX2 ) )
| ~ ( member92250950ar_int @ SX2 @ SX5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SX0 @ SX3 ) @ ( bNF_Gr202451329ar_int @ SX5 @ SX1 @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[399]) ).
thf(452,plain,
( ( ! [SX0: nat > ( list_char > int ) > ( list_char > int ) > $o,SX1: nat,SX2: bexp,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o,SX5: com,SX6: list_char > int,SX7: list_char > int] :
( ~ ! [SX8: nat,SX9: list_char > int,SX10: list_char > int] :
( ~ ( SX0 @ ( plus_plus_nat @ SX1 @ ( suc @ SX8 ) ) @ SX9 @ SX10 )
| ~ ! [SX11: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SX0 @ ( plus_plus_nat @ SX1 @ SX8 ) @ SX11 @ SX10 )
| ~ ( bval @ SX2 @ SX11 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX3 @ SX11 ) @ SX9 ) ) )
| ~ ! [SX8: list_char > int,SX9: list_char > int] :
( ~ ( SX4 @ SX8 @ SX9 )
| ~ ! [SX10: list_char > int] :
~ ~ ! [SX11: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SX12: nat] :
~ ( SX0 @ ( plus_plus_nat @ SX1 @ SX12 ) @ SX10 @ SX11 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX2 @ SX3 ) @ SX10 ) @ SX8 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX5 @ SX11 ) @ SX9 ) ) )
| ~ ( SX4 @ SX6 @ SX7 )
| ~ ! [SX8: list_char > int] :
~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SX0 @ SX1 @ SX8 @ SX9 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX2 @ SX3 ) @ SX8 ) @ SX6 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX5 @ SX9 ) @ SX7 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[356]) ).
thf(453,plain,
( ( ! [SX0: list_char > int,SX1: list_char > int,SX2: list_char > int,SX3: list_char > int,SX4: list_char > int] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SX0 ) @ SX1 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SX2 ) @ SX0 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SX3 ) @ SX4 )
| ~ ( q @ SX1 @ SX4 )
| ~ ( bval @ b @ SX2 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SX2 @ SX3 )
| ~ ! [SX5: list_char > int] :
~ ~ ! [SX6: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SX5 @ SX6 )
| ~ ( bval @ b @ SX5 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SX5 ) @ SX0 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SX6 ) @ SX4 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[333]) ).
thf(454,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: nat,SX4: com,SX5: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ SX3 ) @ ( while @ SX1 @ SX2 ) @ SX4 @ SX5 )
| ( relati775585786_valid
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ SX3 @ SX6 @ SX7 )
| ~ ( bval @ SX1 @ SX6 ) )
@ SX2
@ skip
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ ( suc @ SX3 ) @ SX6 @ SX7 )
| ~ ~ ! [SX8: list_char > int] :
~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SX1 @ SX2 ) @ SX6 ) @ SX8 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX4 @ SX7 ) @ SX9 ) )
| ~ ( SX5 @ SX8 @ SX9 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[371]) ).
thf(455,plain,
( ( ! [SX0: nat] :
( ~ ( ( SX0 != zero_zero_nat ) )
| ~ ! [SX1: nat] :
( SX0
!= ( suc @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[398]) ).
thf(456,plain,
( ( ! [SX0: nat] :
( ( suc @ SX0 )
!= zero_zero_nat ) )
= $true ),
inference(unfold_def,[status(thm)],[387]) ).
thf(457,plain,
( ( ! [SX0: com,SX1: com,SX2: list_char > int,SX3: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SX0 @ SX1 ) @ SX2 ) @ SX3 )
| ~ ! [SX4: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SX0 @ SX2 ) @ SX4 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX4 ) @ SX3 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(458,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: ( list_char > int ) > ( list_char > int ) > $o,SX2: com] :
( ~ ! [SX3: list_char > int,SX4: list_char > int] :
( ~ ( SX0 @ SX3 @ SX4 )
| ~ ! [SX5: list_char > int] :
~ ~ ( ~ ( SX1 @ SX3 @ SX5 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX5 ) @ SX4 ) ) )
| ( relati775585786_valid @ SX1 @ skip @ SX2 @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[355]) ).
thf(459,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: com,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SX0 @ ( seq @ SX1 @ SX2 ) @ SX3 @ SX4 )
| ( relati775585786_valid @ SX0 @ SX1 @ SX3
@ ^ [SX5: list_char > int,SX6: list_char > int] :
~ ! [SX7: list_char > int] :
~ ~ ! [SX8: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SX0 @ SX7 @ SX8 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX7 ) @ SX5 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX3 @ SX8 ) @ SX6 ) )
| ~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX5 ) @ SX9 )
| ~ ( SX4 @ SX9 @ SX6 ) ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[364]) ).
thf(460,plain,
( ( ! [SX0: nat] :
( zero_zero_nat
!= ( suc @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[395]) ).
thf(461,plain,
( ( ! [SX0: nat,SX1: nat] :
( ( SX0
!= ( suc @ SX1 ) )
| ( SX0 != zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[389]) ).
thf(462,plain,
( ( ! [SX0: list_typerep,SX1: nat] :
( ( ( size_s416147576yperep @ SX0 )
= ( suc @ SX1 ) )
= ( ~ ! [SX2: typerep] :
~ ~ ! [SX3: list_typerep] :
~ ~ ( ( SX0
!= ( cons_typerep @ SX2 @ SX3 ) )
| ( ( size_s416147576yperep @ SX3 )
!= SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[404]) ).
thf(463,plain,
( ( ! [SX0: bexp,SX1: list_char > int,SX2: com,SX3: list_char > int,SX4: com] :
( ~ ~ ( bval @ SX0 @ SX1 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX1 ) @ SX3 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SX0 @ SX4 @ SX2 ) @ SX1 ) @ SX3 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[381]) ).
thf(464,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid
@ ^ [SX5: list_char > int,SX6: list_char > int] :
~ ( ~ ( SX0 @ SX5 @ SX6 )
| ~ ( bval @ SX1 @ SX5 ) )
@ ( seq @ SX2 @ ( while @ SX1 @ SX2 ) )
@ SX3
@ SX4 )
| ( relati775585786_valid @ SX0 @ ( while @ SX1 @ SX2 ) @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[353]) ).
thf(465,plain,
( ( ! [SX0: nat,SX1: nat] :
( ( ( suc @ SX0 )
!= ( suc @ SX1 ) )
| ( SX0 = SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[349]) ).
thf(466,plain,
( ( ! [SX0: nat > nat > $o,SX1: nat,SX2: nat] :
( ~ ! [SX3: nat] : ( SX0 @ SX3 @ zero_zero_nat )
| ~ ! [SX3: nat] : ( SX0 @ zero_zero_nat @ ( suc @ SX3 ) )
| ~ ! [SX3: nat,SX4: nat] :
( ~ ( SX0 @ SX3 @ SX4 )
| ( SX0 @ ( suc @ SX3 ) @ ( suc @ SX4 ) ) )
| ( SX0 @ SX1 @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[391]) ).
thf(467,plain,
( ( ! [SX0: nat > $o,SX1: nat] :
( ~ ( SX0 @ SX1 )
| ~ ! [SX2: nat] :
( ~ ( SX0 @ ( suc @ SX2 ) )
| ( SX0 @ SX2 ) )
| ( SX0 @ zero_zero_nat ) ) )
= $true ),
inference(unfold_def,[status(thm)],[392]) ).
thf(468,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: com,SX4: ( list_char > int ) > ( list_char > int ) > $o,SX5: com] :
( ~ ( relati2102071307_hoare
@ ^ [SX6: list_char > int,SX7: list_char > int] :
~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ( bval @ SX1 @ SX6 ) )
@ SX2
@ SX3
@ SX4 )
| ( relati2102071307_hoare @ SX0 @ ( if @ SX1 @ SX2 @ SX5 ) @ SX3 @ SX4 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[377]) ).
thf(469,plain,
( ( ! [SX0: com,SX1: list_char > int,SX2: set_Pr1148378109ar_int,SX3: list_char > int] :
( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SX0 @ SX1 ) @ SX2 )
| ( SX3 != SX1 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SX0 @ SX3 ) @ SX2 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[403]) ).
thf(470,plain,
( ( bNF_Gr202451329ar_int
= ( ^ [SX0: set_Pr1148378109ar_int,SX1: produc1260470173ar_int > com,SX2: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SX3: produc1260470173ar_int] :
~ ! [SX4: produc1260470173ar_int] :
~ ~ ( ( SX3
!= ( produc1193801173ar_int @ ( SX1 @ SX4 ) @ ( SX2 @ SX4 ) ) )
| ~ ( member92250950ar_int @ SX4 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[385]) ).
thf(471,plain,
( ( ! [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: bexp,SX2: com,SX3: nat] :
( ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ ( suc @ SX3 ) )
= ( ^ [SX4: list_char > int,SX5: list_char > int] :
~ ! [SX6: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX6 ) @ SX4 )
| ~ ( bval @ SX1 @ SX6 ) )
| ~ ( relati23543761ar_int @ SX0 @ SX1 @ SX2 @ SX3 @ SX6 @ SX5 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[354]) ).
thf(472,plain,
( ( ! [SX0: nat] :
( zero_zero_nat
!= ( suc @ SX0 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[386]) ).
thf(473,plain,
! [SV1: nat] :
( ( ! [SY387: nat] :
( ( ( suc @ SV1 )
= ( suc @ SY387 ) )
= ( SV1 = SY387 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[329]) ).
thf(474,plain,
! [SV2: nat] :
( ( ! [SY388: nat] :
( ( ( suc @ SV2 )
= ( suc @ SY388 ) )
= ( SV2 = SY388 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[330]) ).
thf(475,plain,
! [SV3: com] :
( ( ! [SY389: com] :
( ( ! [SY390: list_char > int,SY391: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY390 ) @ SY391 )
= ( big_big_step @ ( produc1193801173ar_int @ SY389 @ SY390 ) @ SY391 ) ) )
= ( ! [SY392: list_char > int,SY393: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SY389 @ SY392 ) @ SY393 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY392 ) @ SY393 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[334]) ).
thf(476,plain,
! [SV4: com] :
( ( ! [SY394: list_char > int,SY395: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SY394 ) @ SY395 )
= ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SY394 ) @ SY395 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[335]) ).
thf(477,plain,
! [SV5: set_Pr1148378109ar_int] :
( ( ! [SY396: set_Pr1148378109ar_int] :
( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [X: com,Y4: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ X @ Y4 ) @ SY396 ) ) )
= ( SV5 = SY396 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[357]) ).
thf(478,plain,
! [SV6: nat] :
( ( ! [SY401: nat] :
( ( plus_plus_nat @ SV6 @ ( suc @ SY401 ) )
= ( suc @ ( plus_plus_nat @ SV6 @ SY401 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[358]) ).
thf(479,plain,
! [SV7: list_char > int] :
( ( ! [SY402: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SY402 )
= ( SV7 = SY402 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[359]) ).
thf(480,plain,
! [SV8: nat] :
( ( ! [SY403: nat] :
( ( plus_plus_nat @ ( suc @ SV8 ) @ SY403 )
= ( plus_plus_nat @ SV8 @ ( suc @ SY403 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[360]) ).
thf(481,plain,
! [SV9: nat] :
( ( ! [SY404: nat] :
( ( plus_plus_nat @ ( suc @ SV9 ) @ SY404 )
= ( suc @ ( plus_plus_nat @ SV9 @ SY404 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[362]) ).
thf(482,plain,
! [SV10: com] :
( ( ! [SY405: com,SY406: com,SY407: list_char > int,SY408: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SY405 ) @ SY406 ) @ SY407 ) @ SY408 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SY405 @ SY406 ) ) @ SY407 ) @ SY408 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[366]) ).
thf(483,plain,
! [SV11: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV11 ) @ SV11 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(484,plain,
! [SV12: bexp] :
( ( ! [SY409: bexp,SY410: com,SY411: com,SY412: com,SY413: list_char > int,SY414: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SY409 @ SY410 @ SY411 ) @ SY412 ) @ SY413 ) @ SY414 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SY409 @ ( if @ SV12 @ SY410 @ SY412 ) @ ( if @ SV12 @ SY411 @ SY412 ) ) @ SY413 ) @ SY414 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[378]) ).
thf(485,plain,
! [SV13: bexp] :
( ( ! [SY415: com,SY416: list_char > int,SY417: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SY415 @ SY415 ) @ SY416 ) @ SY417 )
= ( big_big_step @ ( produc1193801173ar_int @ SY415 @ SY416 ) @ SY417 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[379]) ).
thf(486,plain,
! [SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY418: bexp,SY419: com] :
( ( relati23543761ar_int @ SV14 @ SY418 @ SY419 @ zero_zero_nat )
= SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[400]) ).
thf(487,plain,
! [SV15: typerep] :
( ( ! [SY420: list_typerep] :
( ( size_s416147576yperep @ ( cons_typerep @ SV15 @ SY420 ) )
= ( suc @ ( size_s416147576yperep @ SY420 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[406]) ).
thf(488,plain,
! [SV16: nat] :
( ( ! [SY421: typerep,SY422: list_typerep] :
( ( gen_length_typerep @ SV16 @ ( cons_typerep @ SY421 @ SY422 ) )
= ( gen_length_typerep @ ( suc @ SV16 ) @ SY422 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[407]) ).
thf(489,plain,
! [SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY423: bexp,SY424: com,SY425: nat,SY426: com,SY427: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SY423 @ SY424 @ ( suc @ SY425 ) ) @ ( while @ SY423 @ SY424 ) @ SY426 @ SY427 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SY423 @ SY424 @ SY425 ) @ ( while @ SY423 @ SY424 ) @ SY426 @ SY427 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[409]) ).
thf(490,plain,
( ( ~ ! [SX0: list_char > int] :
~ ~ ! [SX1: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SX0 @ SX1 )
| ~ ( bval @ b @ SX0 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SX0 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SX1 ) @ t_a ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(491,plain,
! [SV18: bexp] :
( ( ! [SY428: com,SY429: com,SY430: list_char > int,SY431: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SY428 @ SY429 ) @ SY430 ) @ SY431 )
| ~ ( ~ ( bval @ SV18 @ SY430 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY428 @ SY430 ) @ SY431 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SY430 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY429 @ SY430 ) @ SY431 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[411]) ).
thf(492,plain,
! [SV19: nat] :
( ( ! [SY432: nat] :
( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SY432 ) )
= ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SY432 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SY432
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[412]) ).
thf(493,plain,
! [SV20: produc1260470173ar_int] :
( ( ~ ! [SY433: com] :
~ ~ ! [SY434: list_char > int] :
( SV20
!= ( produc1193801173ar_int @ SY433 @ SY434 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[413]) ).
thf(494,plain,
! [SV21: nat] :
( ( ( suc @ SV21 )
!= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[414]) ).
thf(495,plain,
! [SV22: com] :
( ( ! [SY435: com,SY436: com] :
( ~ ! [SY437: list_char > int,SY438: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY437 ) @ SY438 )
= ( big_big_step @ ( produc1193801173ar_int @ SY435 @ SY437 ) @ SY438 ) )
| ~ ! [SX3: list_char > int,SX4: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SY435 @ SX3 ) @ SX4 )
= ( big_big_step @ ( produc1193801173ar_int @ SY436 @ SX3 ) @ SX4 ) )
| ! [SY441: list_char > int,SY442: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY441 ) @ SY442 )
= ( big_big_step @ ( produc1193801173ar_int @ SY436 @ SY441 ) @ SY442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[415]) ).
thf(496,plain,
! [SV23: bexp] :
( ( ! [SY443: com,SY444: list_char > int,SY445: list_char > int,SY446: com] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SY443 ) @ SY444 ) @ SY445 )
| ~ ! [SX5: list_char > int,SX6: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SY443 @ SX5 ) @ SX6 )
= ( big_big_step @ ( produc1193801173ar_int @ SY446 @ SX5 ) @ SX6 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SY446 ) @ SY444 ) @ SY445 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[416]) ).
thf(497,plain,
! [SV24: nat] :
( ( ~ ( ( SV24 != zero_zero_nat ) )
| ~ ! [SY449: nat] :
( SV24
!= ( suc @ SY449 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[417]) ).
thf(498,plain,
! [SV25: produc1260470173ar_int > $o] :
( ( ! [SY450: produc1260470173ar_int] :
( ~ ! [SY451: com,SY452: list_char > int] : ( SV25 @ ( produc1193801173ar_int @ SY451 @ SY452 ) )
| ( SV25 @ SY450 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[418]) ).
thf(499,plain,
! [SV26: bexp] :
( ( ! [SY453: list_char > int,SY454: com,SY455: list_char > int,SY456: list_char > int] :
( ~ ( bval @ SV26 @ SY453 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY454 @ SY453 ) @ SY455 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SY454 ) @ SY455 ) @ SY456 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SY454 ) @ SY453 ) @ SY456 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[419]) ).
thf(500,plain,
! [SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY457: bexp,SY458: com,SY459: com,SY460: ( list_char > int ) > ( list_char > int ) > $o,SY461: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY462: list_char > int,SY463: list_char > int] :
~ ( ~ ( SV27 @ SY462 @ SY463 )
| ~ ~ ( bval @ SY457 @ SY462 ) )
@ SY458
@ SY459
@ SY460 )
| ( relati2102071307_hoare @ SV27 @ ( if @ SY457 @ SY461 @ SY458 ) @ SY459 @ SY460 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[420]) ).
thf(501,plain,
! [SV28: nat > $o] :
( ( ! [SY464: nat] :
( ~ ( SV28 @ zero_zero_nat )
| ~ ! [SY465: nat] :
( ~ ( SV28 @ SY465 )
| ( SV28 @ ( suc @ SY465 ) ) )
| ( SV28 @ SY464 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[421]) ).
thf(502,plain,
! [SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY466: bexp,SY467: com,SY468: ( list_char > int ) > ( list_char > int ) > $o,SY469: com] :
( ~ ( relati775585786_valid
@ ^ [SY470: list_char > int,SY471: list_char > int] :
~ ( ~ ( SV29 @ SY470 @ SY471 )
| ~ ~ ( bval @ SY466 @ SY470 ) )
@ skip
@ SY467
@ SY468 )
| ( relati775585786_valid @ SV29 @ ( while @ SY466 @ SY469 ) @ SY467 @ SY468 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(503,plain,
! [SV30: com] :
( ( ! [SY472: list_char > int,SY473: list_char > int,SY474: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SY472 ) @ SY473 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SY472 ) @ SY474 )
| ( SY474 = SY473 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(504,plain,
! [SV31: com] :
( ( ! [SY475: list_char > int,SY476: list_char > int,SY477: com,SY478: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SY475 ) @ SY476 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY477 @ SY476 ) @ SY478 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SY477 ) @ SY475 ) @ SY478 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[424]) ).
thf(505,plain,
! [SV32: nat] :
( ( ! [SY479: nat,SY480: nat] :
( ( SV32
!= ( plus_plus_nat @ SY479 @ SY480 ) )
| ( ( suc @ SV32 )
= ( plus_plus_nat @ SY479 @ ( suc @ SY480 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(506,plain,
! [SV33: com] :
( ( ! [SY481: com,SY482: bexp] :
( ~ ! [SY483: list_char > int,SY484: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ SY483 ) @ SY484 )
= ( big_big_step @ ( produc1193801173ar_int @ SY481 @ SY483 ) @ SY484 ) )
| ! [SY485: list_char > int,SY486: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY482 @ SV33 ) @ SY485 ) @ SY486 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY482 @ SY481 ) @ SY485 ) @ SY486 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(507,plain,
! [SV34: nat] :
( ( zero_zero_nat
!= ( suc @ SV34 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[427]) ).
thf(508,plain,
! [SV35: nat] :
( ( ! [SY487: list_typerep] :
( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SY487 ) )
= ( ~ ! [SY488: typerep] :
~ ~ ! [SY489: list_typerep] :
~ ~ ( ( SY487
!= ( cons_typerep @ SY488 @ SY489 ) )
| ( ( size_s416147576yperep @ SY489 )
!= SV35 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[428]) ).
thf(509,plain,
! [SV36: nat] :
( ( ! [SY490: nat] :
( ( ( plus_plus_nat @ SV36 @ SY490 )
= ( suc @ zero_zero_nat ) )
= ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SY490 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SY490
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[429]) ).
thf(510,plain,
! [SV37: bexp] :
( ( ! [SY491: list_char > int,SY492: com,SY493: list_char > int,SY494: com] :
( ~ ( bval @ SV37 @ SY491 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY492 @ SY491 ) @ SY493 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SY492 @ SY494 ) @ SY491 ) @ SY493 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[430]) ).
thf(511,plain,
! [SV38: produc1260470173ar_int > $o] :
( ( ! [SY495: produc1260470173ar_int] :
( ~ ! [SY496: com,SY497: list_char > int] : ( SV38 @ ( produc1193801173ar_int @ SY496 @ SY497 ) )
| ( SV38 @ SY495 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[431]) ).
thf(512,plain,
! [SV39: com] :
( ( ! [SY498: list_char > int,SY499: com,SY500: list_char > int] :
( ( ( produc1193801173ar_int @ SV39 @ SY498 )
= ( produc1193801173ar_int @ SY499 @ SY500 ) )
= ( ~ ( ( SV39 != SY499 )
| ( SY498 != SY500 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[432]) ).
thf(513,plain,
! [SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY501: com,SY502: com,SY503: ( list_char > int ) > ( list_char > int ) > $o,SY504: list_char > int,SY505: list_char > int] :
( ~ ( relati775585786_valid @ SV40 @ SY501 @ SY502 @ SY503 )
| ( relati775585786_valid @ SV40 @ SY501 @ SY502
@ ^ [SY506: list_char > int,SY507: list_char > int] :
~ ( ~ ( SY503 @ SY504 @ SY505 )
| ~ ~ ! [SY508: list_char > int] :
~ ~ ! [SY509: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY508 @ SY509 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY501 @ SY508 ) @ SY506 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY502 @ SY509 ) @ SY507 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[433]) ).
thf(514,plain,
! [SV41: bexp] :
( ( ! [SY510: list_char > int,SY511: com] :
( ~ ~ ( bval @ SV41 @ SY510 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV41 @ SY511 ) @ SY510 ) @ SY510 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[434]) ).
thf(515,plain,
! [SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY512: com,SY513: com,SY514: com,SY515: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV42 @ ( seq @ SY512 @ SY513 ) @ SY514 @ SY515 )
| ( relati775585786_valid
@ ^ [SY516: list_char > int,SY517: list_char > int] :
~ ! [SY518: list_char > int] :
~ ~ ! [SY519: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY518 @ SY519 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY512 @ SY518 ) @ SY516 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY514 @ SY519 ) @ SY517 ) )
| ~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SY513 @ SY516 ) @ SX9 )
| ~ ( SY515 @ SX9 @ SY517 ) ) )
@ SY513
@ skip
@ SY515 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[435]) ).
thf(516,plain,
! [SV43: list_char > int] :
( ( ! [SY521: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SY521 )
| ( SY521 = SV43 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[436]) ).
thf(517,plain,
! [SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY522: bexp,SY523: com,SY524: com,SY525: ( list_char > int ) > ( list_char > int ) > $o,SY526: com] :
( ~ ( relati775585786_valid
@ ^ [SY527: list_char > int,SY528: list_char > int] :
~ ( ~ ( SV44 @ SY527 @ SY528 )
| ~ ( bval @ SY522 @ SY527 ) )
@ SY523
@ SY524
@ SY525 )
| ( relati775585786_valid @ SV44 @ ( if @ SY522 @ SY523 @ SY526 ) @ SY524 @ SY525 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(518,plain,
! [SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY529: ( list_char > int ) > ( list_char > int ) > $o,SY530: com] :
( ~ ! [SY531: list_char > int,SY532: list_char > int] :
( ~ ( SV45 @ SY531 @ SY532 )
| ~ ! [SX5: list_char > int] :
~ ~ ( ~ ( SY529 @ SY531 @ SX5 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY530 @ SX5 ) @ SY532 ) ) )
| ( relati2102071307_hoare @ SY529 @ skip @ SY530 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[438]) ).
thf(519,plain,
! [SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY534: bexp,SY535: com,SY536: com,SY537: com,SY538: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV46 @ ( if @ SY534 @ SY535 @ SY536 ) @ SY537 @ SY538 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SY539: list_char > int,SY540: list_char > int] :
~ ( ~ ( SV46 @ SY539 @ SY540 )
| ~ ( bval @ SY534 @ SY539 ) )
@ SY535
@ SY537
@ ^ [SY541: list_char > int,SY542: list_char > int] :
~ ( ~ ( SY538 @ SY541 @ SY542 )
| ~ ~ ! [SY543: list_char > int] :
~ ~ ! [SY544: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY543 @ SY544 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY535 @ SY543 ) @ SY541 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY537 @ SY544 ) @ SY542 ) )
| ~ ( bval @ SY534 @ SY543 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY545: list_char > int,SY546: list_char > int] :
~ ( ~ ( SV46 @ SY545 @ SY546 )
| ~ ~ ( bval @ SY534 @ SY545 ) )
@ SY536
@ SY537
@ ^ [SY547: list_char > int,SY548: list_char > int] :
~ ( ~ ( SY538 @ SY547 @ SY548 )
| ~ ~ ! [SY549: list_char > int] :
~ ~ ! [SY550: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY549 @ SY550 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY536 @ SY549 ) @ SY547 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY537 @ SY550 ) @ SY548 ) )
| ~ ~ ( bval @ SY534 @ SY549 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[439]) ).
thf(520,plain,
! [SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY551: bexp,SY552: com,SY553: com,SY554: ( list_char > int ) > ( list_char > int ) > $o,SY555: com] :
( ~ ( relati775585786_valid
@ ^ [SY556: list_char > int,SY557: list_char > int] :
~ ( ~ ( SV47 @ SY556 @ SY557 )
| ~ ~ ( bval @ SY551 @ SY556 ) )
@ SY552
@ SY553
@ SY554 )
| ( relati775585786_valid @ SV47 @ ( if @ SY551 @ SY555 @ SY552 ) @ SY553 @ SY554 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[440]) ).
thf(521,plain,
! [SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY558: bexp,SY559: com,SY560: ( list_char > int ) > ( list_char > int ) > $o,SY561: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY562: list_char > int,SY563: list_char > int] :
~ ( ~ ( SV48 @ SY562 @ SY563 )
| ~ ~ ( bval @ SY558 @ SY562 ) )
@ skip
@ SY559
@ SY560 )
| ( relati2102071307_hoare @ SV48 @ ( while @ SY558 @ SY561 ) @ SY559 @ SY560 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[441]) ).
thf(522,plain,
! [SV49: nat] :
( ( SV49
!= ( suc @ SV49 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[442]) ).
thf(523,plain,
! [SV50: bexp] :
( ( ! [SY564: com,SY565: list_char > int,SY566: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SY564 ) @ SY565 ) @ SY566 )
| ~ ( ( SY566 != SY565 )
| ( bval @ SV50 @ SY565 ) )
| ~ ( ~ ( bval @ SV50 @ SY565 )
| ! [SY567: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SY564 @ SY565 ) @ SY567 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SY564 ) @ SY567 ) @ SY566 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(524,plain,
! [SV51: com] :
( ( ! [SY568: list_char > int,SY569: com,SY570: list_char > int] :
( ( ( produc1193801173ar_int @ SV51 @ SY568 )
!= ( produc1193801173ar_int @ SY569 @ SY570 ) )
| ~ ( ( SV51 != SY569 )
| ( SY568 != SY570 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(525,plain,
( ( ! [SV52: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ SV52 )
= ( ^ [SY571: com,SY572: com,SY573: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY574: list_char > int,SY575: list_char > int] :
( ~ ( SY573 @ SY574 @ SY575 )
| ~ ! [SY576: list_char > int] :
~ ~ ! [SY577: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV52 @ SY576 @ SY577 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY571 @ SY576 ) @ SY574 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY572 @ SY577 ) @ SY575 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(526,plain,
( ( relati775585786_valid
= ( ^ [SX0: ( list_char > int ) > ( list_char > int ) > $o,SX1: com,SX2: com,SX3: ( list_char > int ) > ( list_char > int ) > $o] :
! [SX4: list_char > int,SX5: list_char > int] :
( ~ ( SX3 @ SX4 @ SX5 )
| ~ ! [SX6: list_char > int] :
~ ~ ! [SX7: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SX0 @ SX6 @ SX7 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX1 @ SX6 ) @ SX4 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SX2 @ SX7 ) @ SX5 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[445]) ).
thf(527,plain,
! [SV53: nat] :
( ( zero_zero_nat
!= ( suc @ SV53 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[446]) ).
thf(528,plain,
! [SV54: com] :
( ( ! [SY578: list_char > int,SY579: com,SY580: list_char > int] :
( ( ( produc1193801173ar_int @ SV54 @ SY578 )
= ( produc1193801173ar_int @ SY579 @ SY580 ) )
= ( ~ ( ( SV54 != SY579 )
| ( SY578 != SY580 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[447]) ).
thf(529,plain,
! [SV55: nat > $o] :
( ( ! [SY581: nat] :
( ~ ( SV55 @ zero_zero_nat )
| ~ ! [SY582: nat] :
( ~ ( SV55 @ SY582 )
| ( SV55 @ ( suc @ SY582 ) ) )
| ( SV55 @ SY581 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[448]) ).
thf(530,plain,
! [SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY583: bexp,SY584: com,SY585: com,SY586: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati2102071307_hoare
@ ^ [SY587: list_char > int,SY588: list_char > int] :
~ ( ~ ( SV56 @ SY587 @ SY588 )
| ~ ( bval @ SY583 @ SY587 ) )
@ ( seq @ SY584 @ ( while @ SY583 @ SY584 ) )
@ SY585
@ SY586 )
| ( relati2102071307_hoare @ SV56 @ ( while @ SY583 @ SY584 ) @ SY585 @ SY586 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[449]) ).
thf(531,plain,
! [SV57: produc1260470173ar_int] :
( ( ~ ! [SY589: com,SY590: list_char > int] :
( SV57
!= ( produc1193801173ar_int @ SY589 @ SY590 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[450]) ).
thf(532,plain,
! [SV58: com] :
( ( ! [SY591: produc1260470173ar_int > com,SY592: produc1260470173ar_int,SY593: list_char > int,SY594: produc1260470173ar_int > list_char > int,SY595: set_Pr1148378109ar_int] :
( ( SV58
!= ( SY591 @ SY592 ) )
| ( SY593
!= ( SY594 @ SY592 ) )
| ~ ( member92250950ar_int @ SY592 @ SY595 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SY593 ) @ ( bNF_Gr202451329ar_int @ SY595 @ SY591 @ SY594 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[451]) ).
thf(533,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY596: nat,SY597: bexp,SY598: com,SY599: ( list_char > int ) > ( list_char > int ) > $o,SY600: com,SY601: list_char > int,SY602: list_char > int] :
( ~ ! [SY603: nat,SY604: list_char > int,SY605: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SY596 @ ( suc @ SY603 ) ) @ SY604 @ SY605 )
| ~ ! [SY606: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SY596 @ SY603 ) @ SY606 @ SY605 )
| ~ ( bval @ SY597 @ SY606 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY598 @ SY606 ) @ SY604 ) ) )
| ~ ! [SY607: list_char > int,SY608: list_char > int] :
( ~ ( SY599 @ SY607 @ SY608 )
| ~ ! [SY609: list_char > int] :
~ ~ ! [SY610: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY611: nat] :
~ ( SV59 @ ( plus_plus_nat @ SY596 @ SY611 ) @ SY609 @ SY610 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY597 @ SY598 ) @ SY609 ) @ SY607 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY600 @ SY610 ) @ SY608 ) ) )
| ~ ( SY599 @ SY601 @ SY602 )
| ~ ! [SY612: list_char > int] :
~ ~ ! [SY613: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SY596 @ SY612 @ SY613 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY597 @ SY598 ) @ SY612 ) @ SY601 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY600 @ SY613 ) @ SY602 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(534,plain,
! [SV60: list_char > int] :
( ( ! [SY614: list_char > int,SY615: list_char > int,SY616: list_char > int,SY617: list_char > int] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SY614 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY615 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY616 ) @ SY617 )
| ~ ( q @ SY614 @ SY617 )
| ~ ( bval @ b @ SY615 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY615 @ SY616 )
| ~ ! [SY618: list_char > int] :
~ ~ ! [SY619: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY618 @ SY619 )
| ~ ( bval @ b @ SY618 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY618 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY619 ) @ SY617 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[453]) ).
thf(535,plain,
! [SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY620: bexp,SY621: com,SY622: nat,SY623: com,SY624: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SY620 @ SY621 @ SY622 ) @ ( while @ SY620 @ SY621 ) @ SY623 @ SY624 )
| ( relati775585786_valid
@ ^ [SY625: list_char > int,SY626: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SY620 @ SY621 @ SY622 @ SY625 @ SY626 )
| ~ ( bval @ SY620 @ SY625 ) )
@ SY621
@ skip
@ ^ [SY627: list_char > int,SY628: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SY620 @ SY621 @ ( suc @ SY622 ) @ SY627 @ SY628 )
| ~ ~ ! [SX8: list_char > int] :
~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY620 @ SY621 ) @ SY627 ) @ SX8 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY623 @ SY628 ) @ SX9 ) )
| ~ ( SY624 @ SX8 @ SX9 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[454]) ).
thf(536,plain,
! [SV62: nat] :
( ( ~ ( ( SV62 != zero_zero_nat ) )
| ~ ! [SY631: nat] :
( SV62
!= ( suc @ SY631 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[455]) ).
thf(537,plain,
! [SV63: nat] :
( ( ( suc @ SV63 )
!= zero_zero_nat )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[456]) ).
thf(538,plain,
! [SV64: com] :
( ( ! [SY632: com,SY633: list_char > int,SY634: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SY632 ) @ SY633 ) @ SY634 )
| ~ ! [SY635: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SY633 ) @ SY635 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY632 @ SY635 ) @ SY634 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(539,plain,
! [SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY636: ( list_char > int ) > ( list_char > int ) > $o,SY637: com] :
( ~ ! [SY638: list_char > int,SY639: list_char > int] :
( ~ ( SV65 @ SY638 @ SY639 )
| ~ ! [SX5: list_char > int] :
~ ~ ( ~ ( SY636 @ SY638 @ SX5 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY637 @ SX5 ) @ SY639 ) ) )
| ( relati775585786_valid @ SY636 @ skip @ SY637 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(540,plain,
! [SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY641: com,SY642: com,SY643: com,SY644: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV66 @ ( seq @ SY641 @ SY642 ) @ SY643 @ SY644 )
| ( relati775585786_valid @ SV66 @ SY641 @ SY643
@ ^ [SY645: list_char > int,SY646: list_char > int] :
~ ! [SY647: list_char > int] :
~ ~ ! [SY648: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY647 @ SY648 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY641 @ SY647 ) @ SY645 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY643 @ SY648 ) @ SY646 ) )
| ~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SY642 @ SY645 ) @ SX9 )
| ~ ( SY644 @ SX9 @ SY646 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(541,plain,
! [SV67: nat] :
( ( zero_zero_nat
!= ( suc @ SV67 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[460]) ).
thf(542,plain,
! [SV68: nat] :
( ( ! [SY650: nat] :
( ( SV68
!= ( suc @ SY650 ) )
| ( SV68 != zero_zero_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[461]) ).
thf(543,plain,
! [SV69: list_typerep] :
( ( ! [SY651: nat] :
( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SY651 ) )
= ( ~ ! [SY652: typerep] :
~ ~ ! [SY653: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY652 @ SY653 ) )
| ( ( size_s416147576yperep @ SY653 )
!= SY651 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[462]) ).
thf(544,plain,
! [SV70: bexp] :
( ( ! [SY654: list_char > int,SY655: com,SY656: list_char > int,SY657: com] :
( ~ ~ ( bval @ SV70 @ SY654 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY655 @ SY654 ) @ SY656 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SY657 @ SY655 ) @ SY654 ) @ SY656 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[463]) ).
thf(545,plain,
! [SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY658: bexp,SY659: com,SY660: com,SY661: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid
@ ^ [SY662: list_char > int,SY663: list_char > int] :
~ ( ~ ( SV71 @ SY662 @ SY663 )
| ~ ( bval @ SY658 @ SY662 ) )
@ ( seq @ SY659 @ ( while @ SY658 @ SY659 ) )
@ SY660
@ SY661 )
| ( relati775585786_valid @ SV71 @ ( while @ SY658 @ SY659 ) @ SY660 @ SY661 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[464]) ).
thf(546,plain,
! [SV72: nat] :
( ( ! [SY664: nat] :
( ( ( suc @ SV72 )
!= ( suc @ SY664 ) )
| ( SV72 = SY664 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(547,plain,
! [SV73: nat > nat > $o] :
( ( ! [SY665: nat,SY666: nat] :
( ~ ! [SY667: nat] : ( SV73 @ SY667 @ zero_zero_nat )
| ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) )
| ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SY665 @ SY666 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[466]) ).
thf(548,plain,
! [SV74: nat > $o] :
( ( ! [SY671: nat] :
( ~ ( SV74 @ SY671 )
| ~ ! [SY672: nat] :
( ~ ( SV74 @ ( suc @ SY672 ) )
| ( SV74 @ SY672 ) )
| ( SV74 @ zero_zero_nat ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(549,plain,
! [SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY673: bexp,SY674: com,SY675: com,SY676: ( list_char > int ) > ( list_char > int ) > $o,SY677: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY678: list_char > int,SY679: list_char > int] :
~ ( ~ ( SV75 @ SY678 @ SY679 )
| ~ ( bval @ SY673 @ SY678 ) )
@ SY674
@ SY675
@ SY676 )
| ( relati2102071307_hoare @ SV75 @ ( if @ SY673 @ SY674 @ SY677 ) @ SY675 @ SY676 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(550,plain,
! [SV76: com] :
( ( ! [SY680: list_char > int,SY681: set_Pr1148378109ar_int,SY682: list_char > int] :
( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SY680 ) @ SY681 )
| ( SY682 != SY680 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SY682 ) @ SY681 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(551,plain,
( ( ! [SV77: set_Pr1148378109ar_int] :
( ( bNF_Gr202451329ar_int @ SV77 )
= ( ^ [SY683: produc1260470173ar_int > com,SY684: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SY685: produc1260470173ar_int] :
~ ! [SY686: produc1260470173ar_int] :
~ ~ ( ( SY685
!= ( produc1193801173ar_int @ ( SY683 @ SY686 ) @ ( SY684 @ SY686 ) ) )
| ~ ( member92250950ar_int @ SY686 @ SV77 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(552,plain,
( ( bNF_Gr202451329ar_int
= ( ^ [SX0: set_Pr1148378109ar_int,SX1: produc1260470173ar_int > com,SX2: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SX3: produc1260470173ar_int] :
~ ! [SX4: produc1260470173ar_int] :
~ ~ ( ( SX3
!= ( produc1193801173ar_int @ ( SX1 @ SX4 ) @ ( SX2 @ SX4 ) ) )
| ~ ( member92250950ar_int @ SX4 @ SX0 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[470]) ).
thf(553,plain,
! [SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY687: bexp,SY688: com,SY689: nat] :
( ( relati23543761ar_int @ SV78 @ SY687 @ SY688 @ ( suc @ SY689 ) )
= ( ^ [SY690: list_char > int,SY691: list_char > int] :
~ ! [SY692: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SY688 @ SY692 ) @ SY690 )
| ~ ( bval @ SY687 @ SY692 ) )
| ~ ( relati23543761ar_int @ SV78 @ SY687 @ SY688 @ SY689 @ SY692 @ SY691 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(554,plain,
! [SV79: nat] :
( ( zero_zero_nat
!= ( suc @ SV79 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(555,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= ( SV1 = SV80 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[473]) ).
thf(556,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= ( SV2 = SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[474]) ).
thf(557,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[475]) ).
thf(558,plain,
! [SV83: list_char > int,SV4: com] :
( ( ! [SY697: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SY697 )
= ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SY697 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[476]) ).
thf(559,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= ( SV5 = SV84 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[477]) ).
thf(560,plain,
! [SV85: nat,SV6: nat] :
( ( ( plus_plus_nat @ SV6 @ ( suc @ SV85 ) )
= ( suc @ ( plus_plus_nat @ SV6 @ SV85 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[478]) ).
thf(561,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= ( SV7 = SV86 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[479]) ).
thf(562,plain,
! [SV87: nat,SV8: nat] :
( ( ( plus_plus_nat @ ( suc @ SV8 ) @ SV87 )
= ( plus_plus_nat @ SV8 @ ( suc @ SV87 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(563,plain,
! [SV88: nat,SV9: nat] :
( ( ( plus_plus_nat @ ( suc @ SV9 ) @ SV88 )
= ( suc @ ( plus_plus_nat @ SV9 @ SV88 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(564,plain,
! [SV89: com,SV10: com] :
( ( ! [SY702: com,SY703: list_char > int,SY704: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SY702 ) @ SY703 ) @ SY704 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SY702 ) ) @ SY703 ) @ SY704 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[482]) ).
thf(565,plain,
! [SV90: bexp,SV12: bexp] :
( ( ! [SY705: com,SY706: com,SY707: com,SY708: list_char > int,SY709: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SY705 @ SY706 ) @ SY707 ) @ SY708 ) @ SY709 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SY705 @ SY707 ) @ ( if @ SV12 @ SY706 @ SY707 ) ) @ SY708 ) @ SY709 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(566,plain,
! [SV91: com,SV13: bexp] :
( ( ! [SY710: list_char > int,SY711: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SY710 ) @ SY711 )
= ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SY710 ) @ SY711 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[485]) ).
thf(567,plain,
! [SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY712: com] :
( ( relati23543761ar_int @ SV14 @ SV92 @ SY712 @ zero_zero_nat )
= SV14 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[486]) ).
thf(568,plain,
! [SV93: list_typerep,SV15: typerep] :
( ( ( size_s416147576yperep @ ( cons_typerep @ SV15 @ SV93 ) )
= ( suc @ ( size_s416147576yperep @ SV93 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[487]) ).
thf(569,plain,
! [SV94: typerep,SV16: nat] :
( ( ! [SY713: list_typerep] :
( ( gen_length_typerep @ SV16 @ ( cons_typerep @ SV94 @ SY713 ) )
= ( gen_length_typerep @ ( suc @ SV16 ) @ SY713 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[488]) ).
thf(570,plain,
! [SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY714: com,SY715: nat,SY716: com,SY717: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SY714 @ ( suc @ SY715 ) ) @ ( while @ SV95 @ SY714 ) @ SY716 @ SY717 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SY714 @ SY715 ) @ ( while @ SV95 @ SY714 ) @ SY716 @ SY717 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[489]) ).
thf(571,plain,
( ( ! [SX0: list_char > int] :
~ ~ ! [SX1: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SX0 @ SX1 )
| ~ ( bval @ b @ SX0 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SX0 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SX1 ) @ t_a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[490]) ).
thf(572,plain,
! [SV96: com,SV18: bexp] :
( ( ! [SY718: com,SY719: list_char > int,SY720: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SY718 ) @ SY719 ) @ SY720 )
| ~ ( ~ ( bval @ SV18 @ SY719 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SY719 ) @ SY720 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SY719 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY718 @ SY719 ) @ SY720 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[491]) ).
thf(573,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[492]) ).
thf(574,plain,
! [SV20: produc1260470173ar_int] :
( ( ! [SY433: com] :
~ ~ ! [SY434: list_char > int] :
( SV20
!= ( produc1193801173ar_int @ SY433 @ SY434 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(575,plain,
! [SV21: nat] :
( ( ( suc @ SV21 )
= zero_zero_nat )
= $false ),
inference(extcnf_not_pos,[status(thm)],[494]) ).
thf(576,plain,
! [SV98: com,SV22: com] :
( ( ! [SY721: com] :
( ~ ! [SY722: list_char > int,SY723: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY722 ) @ SY723 )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY722 ) @ SY723 ) )
| ~ ! [SY724: list_char > int,SY725: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY724 ) @ SY725 )
= ( big_big_step @ ( produc1193801173ar_int @ SY721 @ SY724 ) @ SY725 ) )
| ! [SY441: list_char > int,SY442: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY441 ) @ SY442 )
= ( big_big_step @ ( produc1193801173ar_int @ SY721 @ SY441 ) @ SY442 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[495]) ).
thf(577,plain,
! [SV99: com,SV23: bexp] :
( ( ! [SY728: list_char > int,SY729: list_char > int,SY730: com] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SY728 ) @ SY729 )
| ~ ! [SY731: list_char > int,SY732: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY731 ) @ SY732 )
= ( big_big_step @ ( produc1193801173ar_int @ SY730 @ SY731 ) @ SY732 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SY730 ) @ SY728 ) @ SY729 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(578,plain,
! [SV24: nat] :
( ( ( ~ ( ( SV24 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ! [SY449: nat] :
( SV24
!= ( suc @ SY449 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[497]) ).
thf(579,plain,
! [SV100: produc1260470173ar_int,SV25: produc1260470173ar_int > $o] :
( ( ~ ! [SY451: com,SY452: list_char > int] : ( SV25 @ ( produc1193801173ar_int @ SY451 @ SY452 ) )
| ( SV25 @ SV100 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[498]) ).
thf(580,plain,
! [SV101: list_char > int,SV26: bexp] :
( ( ! [SY735: com,SY736: list_char > int,SY737: list_char > int] :
( ~ ( bval @ SV26 @ SV101 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY735 @ SV101 ) @ SY736 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SY735 ) @ SY736 ) @ SY737 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SY735 ) @ SV101 ) @ SY737 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[499]) ).
thf(581,plain,
! [SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY738: com,SY739: com,SY740: ( list_char > int ) > ( list_char > int ) > $o,SY741: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SY738
@ SY739
@ SY740 )
| ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SY741 @ SY738 ) @ SY739 @ SY740 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[500]) ).
thf(582,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ~ ( SV28 @ zero_zero_nat )
| ~ ! [SY465: nat] :
( ~ ( SV28 @ SY465 )
| ( SV28 @ ( suc @ SY465 ) ) )
| ( SV28 @ SV103 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[501]) ).
thf(583,plain,
! [SV104: bexp,SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY745: com,SY746: ( list_char > int ) > ( list_char > int ) > $o,SY747: com] :
( ~ ( relati775585786_valid
@ ^ [SY748: list_char > int,SY749: list_char > int] :
~ ( ~ ( SV29 @ SY748 @ SY749 )
| ~ ~ ( bval @ SV104 @ SY748 ) )
@ skip
@ SY745
@ SY746 )
| ( relati775585786_valid @ SV29 @ ( while @ SV104 @ SY747 ) @ SY745 @ SY746 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[502]) ).
thf(584,plain,
! [SV105: list_char > int,SV30: com] :
( ( ! [SY750: list_char > int,SY751: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SY750 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SY751 )
| ( SY751 = SY750 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[503]) ).
thf(585,plain,
! [SV106: list_char > int,SV31: com] :
( ( ! [SY752: list_char > int,SY753: com,SY754: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SY752 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY753 @ SY752 ) @ SY754 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SY753 ) @ SV106 ) @ SY754 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[504]) ).
thf(586,plain,
! [SV107: nat,SV32: nat] :
( ( ! [SY755: nat] :
( ( SV32
!= ( plus_plus_nat @ SV107 @ SY755 ) )
| ( ( suc @ SV32 )
= ( plus_plus_nat @ SV107 @ ( suc @ SY755 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(587,plain,
! [SV108: com,SV33: com] :
( ( ! [SY756: bexp] :
( ~ ! [SY757: list_char > int,SY758: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ SY757 ) @ SY758 )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ SY757 ) @ SY758 ) )
| ! [SY759: list_char > int,SY760: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY756 @ SV33 ) @ SY759 ) @ SY760 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY756 @ SV108 ) @ SY759 ) @ SY760 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[506]) ).
thf(588,plain,
! [SV34: nat] :
( ( zero_zero_nat
= ( suc @ SV34 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[507]) ).
thf(589,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= ( ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[508]) ).
thf(590,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[509]) ).
thf(591,plain,
! [SV111: list_char > int,SV37: bexp] :
( ( ! [SY763: com,SY764: list_char > int,SY765: com] :
( ~ ( bval @ SV37 @ SV111 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY763 @ SV111 ) @ SY764 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SY763 @ SY765 ) @ SV111 ) @ SY764 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[510]) ).
thf(592,plain,
! [SV112: produc1260470173ar_int,SV38: produc1260470173ar_int > $o] :
( ( ~ ! [SY496: com,SY497: list_char > int] : ( SV38 @ ( produc1193801173ar_int @ SY496 @ SY497 ) )
| ( SV38 @ SV112 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[511]) ).
thf(593,plain,
! [SV113: list_char > int,SV39: com] :
( ( ! [SY768: com,SY769: list_char > int] :
( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SY768 @ SY769 ) )
= ( ~ ( ( SV39 != SY768 )
| ( SV113 != SY769 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[512]) ).
thf(594,plain,
! [SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY770: com,SY771: ( list_char > int ) > ( list_char > int ) > $o,SY772: list_char > int,SY773: list_char > int] :
( ~ ( relati775585786_valid @ SV40 @ SV114 @ SY770 @ SY771 )
| ( relati775585786_valid @ SV40 @ SV114 @ SY770
@ ^ [SY774: list_char > int,SY775: list_char > int] :
~ ( ~ ( SY771 @ SY772 @ SY773 )
| ~ ~ ! [SY776: list_char > int] :
~ ~ ! [SY777: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY776 @ SY777 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY776 ) @ SY774 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY770 @ SY777 ) @ SY775 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[513]) ).
thf(595,plain,
! [SV115: list_char > int,SV41: bexp] :
( ( ! [SY778: com] :
( ~ ~ ( bval @ SV41 @ SV115 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV41 @ SY778 ) @ SV115 ) @ SV115 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[514]) ).
thf(596,plain,
! [SV116: com,SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY779: com,SY780: com,SY781: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV42 @ ( seq @ SV116 @ SY779 ) @ SY780 @ SY781 )
| ( relati775585786_valid
@ ^ [SY782: list_char > int,SY783: list_char > int] :
~ ! [SY784: list_char > int] :
~ ~ ! [SY785: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY784 @ SY785 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV116 @ SY784 ) @ SY782 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY780 @ SY785 ) @ SY783 ) )
| ~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SY779 @ SY782 ) @ SX9 )
| ~ ( SY781 @ SX9 @ SY783 ) ) )
@ SY779
@ skip
@ SY781 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[515]) ).
thf(597,plain,
! [SV117: list_char > int,SV43: list_char > int] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SV117 )
| ( SV117 = SV43 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[516]) ).
thf(598,plain,
! [SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY787: com,SY788: com,SY789: ( list_char > int ) > ( list_char > int ) > $o,SY790: com] :
( ~ ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SY787
@ SY788
@ SY789 )
| ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SY787 @ SY790 ) @ SY788 @ SY789 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[517]) ).
thf(599,plain,
! [SV119: ( list_char > int ) > ( list_char > int ) > $o,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY793: com] :
( ~ ! [SY794: list_char > int,SY795: list_char > int] :
( ~ ( SV45 @ SY794 @ SY795 )
| ~ ! [SY796: list_char > int] :
~ ~ ( ~ ( SV119 @ SY794 @ SY796 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY793 @ SY796 ) @ SY795 ) ) )
| ( relati2102071307_hoare @ SV119 @ skip @ SY793 @ SV45 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[518]) ).
thf(600,plain,
! [SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY797: com,SY798: com,SY799: com,SY800: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SY797 @ SY798 ) @ SY799 @ SY800 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SY797
@ SY799
@ ^ [SY803: list_char > int,SY804: list_char > int] :
~ ( ~ ( SY800 @ SY803 @ SY804 )
| ~ ~ ! [SY805: list_char > int] :
~ ~ ! [SY806: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY805 @ SY806 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY797 @ SY805 ) @ SY803 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY799 @ SY806 ) @ SY804 ) )
| ~ ( bval @ SV120 @ SY805 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SY798
@ SY799
@ ^ [SY809: list_char > int,SY810: list_char > int] :
~ ( ~ ( SY800 @ SY809 @ SY810 )
| ~ ~ ! [SY811: list_char > int] :
~ ~ ! [SY812: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY811 @ SY812 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY798 @ SY811 ) @ SY809 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY799 @ SY812 ) @ SY810 ) )
| ~ ~ ( bval @ SV120 @ SY811 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[519]) ).
thf(601,plain,
! [SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY813: com,SY814: com,SY815: ( list_char > int ) > ( list_char > int ) > $o,SY816: com] :
( ~ ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SY813
@ SY814
@ SY815 )
| ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SY816 @ SY813 ) @ SY814 @ SY815 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[520]) ).
thf(602,plain,
! [SV122: bexp,SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY819: com,SY820: ( list_char > int ) > ( list_char > int ) > $o,SY821: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY822: list_char > int,SY823: list_char > int] :
~ ( ~ ( SV48 @ SY822 @ SY823 )
| ~ ~ ( bval @ SV122 @ SY822 ) )
@ skip
@ SY819
@ SY820 )
| ( relati2102071307_hoare @ SV48 @ ( while @ SV122 @ SY821 ) @ SY819 @ SY820 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[521]) ).
thf(603,plain,
! [SV49: nat] :
( ( SV49
= ( suc @ SV49 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[522]) ).
thf(604,plain,
! [SV123: com,SV50: bexp] :
( ( ! [SY824: list_char > int,SY825: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY824 ) @ SY825 )
| ~ ( ( SY825 != SY824 )
| ( bval @ SV50 @ SY824 ) )
| ~ ( ~ ( bval @ SV50 @ SY824 )
| ! [SY826: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SY824 ) @ SY826 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY826 ) @ SY825 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[523]) ).
thf(605,plain,
! [SV124: list_char > int,SV51: com] :
( ( ! [SY827: com,SY828: list_char > int] :
( ( ( produc1193801173ar_int @ SV51 @ SV124 )
!= ( produc1193801173ar_int @ SY827 @ SY828 ) )
| ~ ( ( SV51 != SY827 )
| ( SV124 != SY828 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[524]) ).
thf(606,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 )
= ( ^ [SY829: com,SY830: com,SY831: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY832: list_char > int,SY833: list_char > int] :
( ~ ( SY831 @ SY832 @ SY833 )
| ~ ! [SY834: list_char > int] :
~ ~ ! [SY835: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY834 @ SY835 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY829 @ SY834 ) @ SY832 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY830 @ SY835 ) @ SY833 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[525]) ).
thf(607,plain,
! [SV53: nat] :
( ( zero_zero_nat
= ( suc @ SV53 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[527]) ).
thf(608,plain,
! [SV126: list_char > int,SV54: com] :
( ( ! [SY836: com,SY837: list_char > int] :
( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SY836 @ SY837 ) )
= ( ~ ( ( SV54 != SY836 )
| ( SV126 != SY837 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[528]) ).
thf(609,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ~ ( SV55 @ zero_zero_nat )
| ~ ! [SY582: nat] :
( ~ ( SV55 @ SY582 )
| ( SV55 @ ( suc @ SY582 ) ) )
| ( SV55 @ SV127 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[529]) ).
thf(610,plain,
! [SV128: bexp,SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY839: com,SY840: com,SY841: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati2102071307_hoare
@ ^ [SY842: list_char > int,SY843: list_char > int] :
~ ( ~ ( SV56 @ SY842 @ SY843 )
| ~ ( bval @ SV128 @ SY842 ) )
@ ( seq @ SY839 @ ( while @ SV128 @ SY839 ) )
@ SY840
@ SY841 )
| ( relati2102071307_hoare @ SV56 @ ( while @ SV128 @ SY839 ) @ SY840 @ SY841 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[530]) ).
thf(611,plain,
! [SV57: produc1260470173ar_int] :
( ( ! [SY589: com,SY590: list_char > int] :
( SV57
!= ( produc1193801173ar_int @ SY589 @ SY590 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[531]) ).
thf(612,plain,
! [SV129: produc1260470173ar_int > com,SV58: com] :
( ( ! [SY844: produc1260470173ar_int,SY845: list_char > int,SY846: produc1260470173ar_int > list_char > int,SY847: set_Pr1148378109ar_int] :
( ( SV58
!= ( SV129 @ SY844 ) )
| ( SY845
!= ( SY846 @ SY844 ) )
| ~ ( member92250950ar_int @ SY844 @ SY847 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SY845 ) @ ( bNF_Gr202451329ar_int @ SY847 @ SV129 @ SY846 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[532]) ).
thf(613,plain,
! [SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY848: bexp,SY849: com,SY850: ( list_char > int ) > ( list_char > int ) > $o,SY851: com,SY852: list_char > int,SY853: list_char > int] :
( ~ ! [SY854: nat,SY855: list_char > int,SY856: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY854 ) ) @ SY855 @ SY856 )
| ~ ! [SY857: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY854 ) @ SY857 @ SY856 )
| ~ ( bval @ SY848 @ SY857 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY849 @ SY857 ) @ SY855 ) ) )
| ~ ! [SY858: list_char > int,SY859: list_char > int] :
( ~ ( SY850 @ SY858 @ SY859 )
| ~ ! [SY860: list_char > int] :
~ ~ ! [SY861: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY860 @ SY861 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY848 @ SY849 ) @ SY860 ) @ SY858 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY851 @ SY861 ) @ SY859 ) ) )
| ~ ( SY850 @ SY852 @ SY853 )
| ~ ! [SY863: list_char > int] :
~ ~ ! [SY864: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY863 @ SY864 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SY848 @ SY849 ) @ SY863 ) @ SY852 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY851 @ SY864 ) @ SY853 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[533]) ).
thf(614,plain,
! [SV131: list_char > int,SV60: list_char > int] :
( ( ! [SY865: list_char > int,SY866: list_char > int,SY867: list_char > int] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY865 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY866 ) @ SY867 )
| ~ ( q @ SV131 @ SY867 )
| ~ ( bval @ b @ SY865 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY865 @ SY866 )
| ~ ! [SY618: list_char > int] :
~ ~ ! [SY619: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY618 @ SY619 )
| ~ ( bval @ b @ SY618 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY618 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY619 ) @ SY867 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[534]) ).
thf(615,plain,
! [SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY870: com,SY871: nat,SY872: com,SY873: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SY870 @ SY871 ) @ ( while @ SV132 @ SY870 ) @ SY872 @ SY873 )
| ( relati775585786_valid
@ ^ [SY874: list_char > int,SY875: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SY870 @ SY871 @ SY874 @ SY875 )
| ~ ( bval @ SV132 @ SY874 ) )
@ SY870
@ skip
@ ^ [SY876: list_char > int,SY877: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SY870 @ ( suc @ SY871 ) @ SY876 @ SY877 )
| ~ ~ ! [SY878: list_char > int] :
~ ~ ! [SY879: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SY870 ) @ SY876 ) @ SY878 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY872 @ SY877 ) @ SY879 ) )
| ~ ( SY873 @ SY878 @ SY879 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[535]) ).
thf(616,plain,
! [SV62: nat] :
( ( ( ~ ( ( SV62 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ! [SY631: nat] :
( SV62
!= ( suc @ SY631 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[536]) ).
thf(617,plain,
! [SV63: nat] :
( ( ( suc @ SV63 )
= zero_zero_nat )
= $false ),
inference(extcnf_not_pos,[status(thm)],[537]) ).
thf(618,plain,
! [SV133: com,SV64: com] :
( ( ! [SY880: list_char > int,SY881: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SY880 ) @ SY881 )
| ~ ! [SY882: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SY880 ) @ SY882 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ SY882 ) @ SY881 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[538]) ).
thf(619,plain,
! [SV134: ( list_char > int ) > ( list_char > int ) > $o,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY883: com] :
( ~ ! [SY884: list_char > int,SY885: list_char > int] :
( ~ ( SV65 @ SY884 @ SY885 )
| ~ ! [SY886: list_char > int] :
~ ~ ( ~ ( SV134 @ SY884 @ SY886 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY883 @ SY886 ) @ SY885 ) ) )
| ( relati775585786_valid @ SV134 @ skip @ SY883 @ SV65 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[539]) ).
thf(620,plain,
! [SV135: com,SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY887: com,SY888: com,SY889: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV66 @ ( seq @ SV135 @ SY887 ) @ SY888 @ SY889 )
| ( relati775585786_valid @ SV66 @ SV135 @ SY888
@ ^ [SY890: list_char > int,SY891: list_char > int] :
~ ! [SY892: list_char > int] :
~ ~ ! [SY893: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY892 @ SY893 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV135 @ SY892 ) @ SY890 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY888 @ SY893 ) @ SY891 ) )
| ~ ~ ! [SX9: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SY887 @ SY890 ) @ SX9 )
| ~ ( SY889 @ SX9 @ SY891 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[540]) ).
thf(621,plain,
! [SV67: nat] :
( ( zero_zero_nat
= ( suc @ SV67 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[541]) ).
thf(622,plain,
! [SV136: nat,SV68: nat] :
( ( ( SV68
!= ( suc @ SV136 ) )
| ( SV68 != zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[542]) ).
thf(623,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= ( ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[543]) ).
thf(624,plain,
! [SV138: list_char > int,SV70: bexp] :
( ( ! [SY897: com,SY898: list_char > int,SY899: com] :
( ~ ~ ( bval @ SV70 @ SV138 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY897 @ SV138 ) @ SY898 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SY899 @ SY897 ) @ SV138 ) @ SY898 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[544]) ).
thf(625,plain,
! [SV139: bexp,SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY900: com,SY901: com,SY902: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid
@ ^ [SY903: list_char > int,SY904: list_char > int] :
~ ( ~ ( SV71 @ SY903 @ SY904 )
| ~ ( bval @ SV139 @ SY903 ) )
@ ( seq @ SY900 @ ( while @ SV139 @ SY900 ) )
@ SY901
@ SY902 )
| ( relati775585786_valid @ SV71 @ ( while @ SV139 @ SY900 ) @ SY901 @ SY902 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[545]) ).
thf(626,plain,
! [SV140: nat,SV72: nat] :
( ( ( ( suc @ SV72 )
!= ( suc @ SV140 ) )
| ( SV72 = SV140 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[546]) ).
thf(627,plain,
! [SV141: nat,SV73: nat > nat > $o] :
( ( ! [SY905: nat] :
( ~ ! [SY667: nat] : ( SV73 @ SY667 @ zero_zero_nat )
| ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) )
| ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SY905 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[547]) ).
thf(628,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ~ ( SV74 @ SV142 )
| ~ ! [SY672: nat] :
( ~ ( SV74 @ ( suc @ SY672 ) )
| ( SV74 @ SY672 ) )
| ( SV74 @ zero_zero_nat ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[548]) ).
thf(629,plain,
! [SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY911: com,SY912: com,SY913: ( list_char > int ) > ( list_char > int ) > $o,SY914: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SY911
@ SY912
@ SY913 )
| ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SY911 @ SY914 ) @ SY912 @ SY913 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[549]) ).
thf(630,plain,
! [SV144: list_char > int,SV76: com] :
( ( ! [SY917: set_Pr1148378109ar_int,SY918: list_char > int] :
( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SY917 )
| ( SY918 != SV144 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SY918 ) @ SY917 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[550]) ).
thf(631,plain,
! [SV145: set_Pr1148378109ar_int] :
( ( ( bNF_Gr202451329ar_int @ SV145 )
= ( ^ [SY919: produc1260470173ar_int > com,SY920: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SY921: produc1260470173ar_int] :
~ ! [SY922: produc1260470173ar_int] :
~ ~ ( ( SY921
!= ( produc1193801173ar_int @ ( SY919 @ SY922 ) @ ( SY920 @ SY922 ) ) )
| ~ ( member92250950ar_int @ SY922 @ SV145 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[551]) ).
thf(632,plain,
! [SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY923: com,SY924: nat] :
( ( relati23543761ar_int @ SV78 @ SV146 @ SY923 @ ( suc @ SY924 ) )
= ( ^ [SY925: list_char > int,SY926: list_char > int] :
~ ! [SY927: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SY923 @ SY927 ) @ SY925 )
| ~ ( bval @ SV146 @ SY927 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SY923 @ SY924 @ SY927 @ SY926 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[553]) ).
thf(633,plain,
! [SV79: nat] :
( ( zero_zero_nat
= ( suc @ SV79 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[554]) ).
thf(634,plain,
! [SV80: nat,SV1: nat] :
( ( ~ ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
| ( SV1 = SV80 ) )
| ~ ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(635,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= ( SV1 = SV80 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[555]) ).
thf(636,plain,
! [SV81: nat,SV2: nat] :
( ( ~ ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
| ( SV2 = SV81 ) )
| ~ ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(637,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= ( SV2 = SV81 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[556]) ).
thf(638,plain,
! [SV82: com,SV3: com] :
( ( ~ ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
| ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(639,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[557]) ).
thf(640,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[558]) ).
thf(641,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 = SV84 ) )
| ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(642,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= ( SV5 = SV84 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[559]) ).
thf(643,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 = SV86 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(644,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= ( SV7 = SV86 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[561]) ).
thf(645,plain,
! [SV148: com,SV89: com,SV10: com] :
( ( ! [SY928: list_char > int,SY929: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SY928 ) @ SY929 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SY928 ) @ SY929 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[564]) ).
thf(646,plain,
! [SV149: com,SV90: bexp,SV12: bexp] :
( ( ! [SY930: com,SY931: com,SY932: list_char > int,SY933: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SY930 ) @ SY931 ) @ SY932 ) @ SY933 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SY931 ) @ ( if @ SV12 @ SY930 @ SY931 ) ) @ SY932 ) @ SY933 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[565]) ).
thf(647,plain,
! [SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ! [SY934: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SY934 )
= ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SY934 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[566]) ).
thf(648,plain,
! [SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat )
= SV14 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[567]) ).
thf(649,plain,
! [SV152: list_typerep,SV94: typerep,SV16: nat] :
( ( ( gen_length_typerep @ SV16 @ ( cons_typerep @ SV94 @ SV152 ) )
= ( gen_length_typerep @ ( suc @ SV16 ) @ SV152 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[569]) ).
thf(650,plain,
! [SV153: com,SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY935: nat,SY936: com,SY937: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ ( suc @ SY935 ) ) @ ( while @ SV95 @ SV153 ) @ SY936 @ SY937 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ SY935 ) @ ( while @ SV95 @ SV153 ) @ SY936 @ SY937 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[570]) ).
thf(651,plain,
! [SV154: list_char > int] :
( ( ~ ~ ! [SY938: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SY938 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY938 ) @ t_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[571]) ).
thf(652,plain,
! [SV155: com,SV96: com,SV18: bexp] :
( ( ! [SY939: list_char > int,SY940: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SY939 ) @ SY940 )
| ~ ( ~ ( bval @ SV18 @ SY939 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SY939 ) @ SY940 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SY939 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SY939 ) @ SY940 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[572]) ).
thf(653,plain,
! [SV97: nat,SV19: nat] :
( ( ~ ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
| ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(654,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[573]) ).
thf(655,plain,
! [SV20: produc1260470173ar_int] :
( ( ~ ~ ! [SY941: list_char > int] :
( SV20
!= ( produc1193801173ar_int @ ( sK1_SY433 @ SV20 ) @ SY941 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[574]) ).
thf(656,plain,
! [SV156: com,SV98: com,SV22: com] :
( ( ~ ! [SY722: list_char > int,SY723: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY722 ) @ SY723 )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY722 ) @ SY723 ) )
| ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[576]) ).
thf(657,plain,
! [SV157: list_char > int,SV99: com,SV23: bexp] :
( ( ! [SY948: list_char > int,SY949: com] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SY948 )
| ~ ! [SY731: list_char > int,SY732: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY731 ) @ SY732 )
= ( big_big_step @ ( produc1193801173ar_int @ SY949 @ SY731 ) @ SY732 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SY949 ) @ SV157 ) @ SY948 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[577]) ).
thf(658,plain,
! [SV24: nat] :
( ( ( SV24 != zero_zero_nat )
= $false )
| ( ( ~ ! [SY449: nat] :
( SV24
!= ( suc @ SY449 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[578]) ).
thf(659,plain,
! [SV100: produc1260470173ar_int,SV25: produc1260470173ar_int > $o] :
( ( ( ~ ! [SY451: com,SY452: list_char > int] : ( SV25 @ ( produc1193801173ar_int @ SY451 @ SY452 ) ) )
= $true )
| ( ( SV25 @ SV100 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[579]) ).
thf(660,plain,
! [SV158: com,SV101: list_char > int,SV26: bexp] :
( ( ! [SY952: list_char > int,SY953: list_char > int] :
( ~ ( bval @ SV26 @ SV101 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SY952 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SY952 ) @ SY953 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SY953 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[580]) ).
thf(661,plain,
! [SV159: com,SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY954: com,SY955: ( list_char > int ) > ( list_char > int ) > $o,SY956: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SV159
@ SY954
@ SY955 )
| ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SY956 @ SV159 ) @ SY954 @ SY955 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[581]) ).
thf(662,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( ~ ( SV28 @ zero_zero_nat ) )
= $true )
| ( ( ~ ! [SY465: nat] :
( ~ ( SV28 @ SY465 )
| ( SV28 @ ( suc @ SY465 ) ) )
| ( SV28 @ SV103 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[582]) ).
thf(663,plain,
! [SV160: com,SV104: bexp,SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY959: ( list_char > int ) > ( list_char > int ) > $o,SY960: com] :
( ~ ( relati775585786_valid
@ ^ [SY748: list_char > int,SY749: list_char > int] :
~ ( ~ ( SV29 @ SY748 @ SY749 )
| ~ ~ ( bval @ SV104 @ SY748 ) )
@ skip
@ SV160
@ SY959 )
| ( relati775585786_valid @ SV29 @ ( while @ SV104 @ SY960 ) @ SV160 @ SY959 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[583]) ).
thf(664,plain,
! [SV161: list_char > int,SV105: list_char > int,SV30: com] :
( ( ! [SY963: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SY963 )
| ( SY963 = SV161 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[584]) ).
thf(665,plain,
! [SV162: list_char > int,SV106: list_char > int,SV31: com] :
( ( ! [SY964: com,SY965: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY964 @ SV162 ) @ SY965 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SY964 ) @ SV106 ) @ SY965 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[585]) ).
thf(666,plain,
! [SV163: nat,SV107: nat,SV32: nat] :
( ( ( SV32
!= ( plus_plus_nat @ SV107 @ SV163 ) )
| ( ( suc @ SV32 )
= ( plus_plus_nat @ SV107 @ ( suc @ SV163 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[586]) ).
thf(667,plain,
! [SV164: bexp,SV108: com,SV33: com] :
( ( ~ ! [SY757: list_char > int,SY758: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ SY757 ) @ SY758 )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ SY757 ) @ SY758 ) )
| ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[587]) ).
thf(668,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ~ ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
| ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
| ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[589]) ).
thf(669,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= ( ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[589]) ).
thf(670,plain,
! [SV110: nat,SV36: nat] :
( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
| ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
| ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[590]) ).
thf(671,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[590]) ).
thf(672,plain,
! [SV165: com,SV111: list_char > int,SV37: bexp] :
( ( ! [SY970: list_char > int,SY971: com] :
( ~ ( bval @ SV37 @ SV111 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SY970 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SY971 ) @ SV111 ) @ SY970 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[591]) ).
thf(673,plain,
! [SV112: produc1260470173ar_int,SV38: produc1260470173ar_int > $o] :
( ( ( ~ ! [SY496: com,SY497: list_char > int] : ( SV38 @ ( produc1193801173ar_int @ SY496 @ SY497 ) ) )
= $true )
| ( ( SV38 @ SV112 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[592]) ).
thf(674,plain,
! [SV166: com,SV113: list_char > int,SV39: com] :
( ( ! [SY972: list_char > int] :
( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SY972 ) )
= ( ~ ( ( SV39 != SV166 )
| ( SV113 != SY972 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[593]) ).
thf(675,plain,
! [SV167: com,SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY973: ( list_char > int ) > ( list_char > int ) > $o,SY974: list_char > int,SY975: list_char > int] :
( ~ ( relati775585786_valid @ SV40 @ SV114 @ SV167 @ SY973 )
| ( relati775585786_valid @ SV40 @ SV114 @ SV167
@ ^ [SY976: list_char > int,SY977: list_char > int] :
~ ( ~ ( SY973 @ SY974 @ SY975 )
| ~ ~ ! [SY978: list_char > int] :
~ ~ ! [SY979: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY978 @ SY979 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY978 ) @ SY976 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV167 @ SY979 ) @ SY977 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[594]) ).
thf(676,plain,
! [SV168: com,SV115: list_char > int,SV41: bexp] :
( ( ~ ~ ( bval @ SV41 @ SV115 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV41 @ SV168 ) @ SV115 ) @ SV115 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[595]) ).
thf(677,plain,
! [SV169: com,SV116: com,SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY980: com,SY981: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV42 @ ( seq @ SV116 @ SV169 ) @ SY980 @ SY981 )
| ( relati775585786_valid
@ ^ [SY982: list_char > int,SY983: list_char > int] :
~ ! [SY984: list_char > int] :
~ ~ ! [SY985: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY984 @ SY985 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV116 @ SY984 ) @ SY982 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY980 @ SY985 ) @ SY983 ) )
| ~ ~ ! [SY986: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV169 @ SY982 ) @ SY986 )
| ~ ( SY981 @ SY986 @ SY983 ) ) )
@ SV169
@ skip
@ SY981 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[596]) ).
thf(678,plain,
! [SV117: list_char > int,SV43: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SV117 ) )
= $true )
| ( ( SV117 = SV43 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[597]) ).
thf(679,plain,
! [SV170: com,SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY987: com,SY988: ( list_char > int ) > ( list_char > int ) > $o,SY989: com] :
( ~ ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SV170
@ SY987
@ SY988 )
| ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SV170 @ SY989 ) @ SY987 @ SY988 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[598]) ).
thf(680,plain,
! [SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ! [SY992: list_char > int,SY993: list_char > int] :
( ~ ( SV45 @ SY992 @ SY993 )
| ~ ! [SY994: list_char > int] :
~ ~ ( ~ ( SV119 @ SY992 @ SY994 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY994 ) @ SY993 ) ) )
| ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[599]) ).
thf(681,plain,
! [SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY995: com,SY996: com,SY997: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SY995 ) @ SY996 @ SY997 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SY996
@ ^ [SY1000: list_char > int,SY1001: list_char > int] :
~ ( ~ ( SY997 @ SY1000 @ SY1001 )
| ~ ~ ! [SY1002: list_char > int] :
~ ~ ! [SY1003: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1002 @ SY1003 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1002 ) @ SY1000 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY996 @ SY1003 ) @ SY1001 ) )
| ~ ( bval @ SV120 @ SY1002 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SY995
@ SY996
@ ^ [SY809: list_char > int,SY810: list_char > int] :
~ ( ~ ( SY997 @ SY809 @ SY810 )
| ~ ~ ! [SY811: list_char > int] :
~ ~ ! [SY812: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY811 @ SY812 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY995 @ SY811 ) @ SY809 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY996 @ SY812 ) @ SY810 ) )
| ~ ~ ( bval @ SV120 @ SY811 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[600]) ).
thf(682,plain,
! [SV173: com,SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1010: com,SY1011: ( list_char > int ) > ( list_char > int ) > $o,SY1012: com] :
( ~ ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SV173
@ SY1010
@ SY1011 )
| ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SY1012 @ SV173 ) @ SY1010 @ SY1011 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[601]) ).
thf(683,plain,
! [SV174: com,SV122: bexp,SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1015: ( list_char > int ) > ( list_char > int ) > $o,SY1016: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY822: list_char > int,SY823: list_char > int] :
~ ( ~ ( SV48 @ SY822 @ SY823 )
| ~ ~ ( bval @ SV122 @ SY822 ) )
@ skip
@ SV174
@ SY1015 )
| ( relati2102071307_hoare @ SV48 @ ( while @ SV122 @ SY1016 ) @ SV174 @ SY1015 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[602]) ).
thf(684,plain,
! [SV175: list_char > int,SV123: com,SV50: bexp] :
( ( ! [SY1019: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SY1019 )
| ~ ( ( SY1019 != SV175 )
| ( bval @ SV50 @ SV175 ) )
| ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1020: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1020 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1020 ) @ SY1019 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[604]) ).
thf(685,plain,
! [SV176: com,SV124: list_char > int,SV51: com] :
( ( ! [SY1021: list_char > int] :
( ( ( produc1193801173ar_int @ SV51 @ SV124 )
!= ( produc1193801173ar_int @ SV176 @ SY1021 ) )
| ~ ( ( SV51 != SV176 )
| ( SV124 != SY1021 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[605]) ).
thf(686,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV177: com] :
( ( relati775585786_valid @ SV125 @ SV177 )
= ( ^ [SY1022: com,SY1023: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY1024: list_char > int,SY1025: list_char > int] :
( ~ ( SY1023 @ SY1024 @ SY1025 )
| ~ ! [SY1026: list_char > int] :
~ ~ ! [SY1027: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1026 @ SY1027 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV177 @ SY1026 ) @ SY1024 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1022 @ SY1027 ) @ SY1025 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(687,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 )
= ( ^ [SY829: com,SY830: com,SY831: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY832: list_char > int,SY833: list_char > int] :
( ~ ( SY831 @ SY832 @ SY833 )
| ~ ! [SY834: list_char > int] :
~ ~ ! [SY835: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY834 @ SY835 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY829 @ SY834 ) @ SY832 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY830 @ SY835 ) @ SY833 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[606]) ).
thf(688,plain,
! [SV178: com,SV126: list_char > int,SV54: com] :
( ( ! [SY1028: list_char > int] :
( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SY1028 ) )
= ( ~ ( ( SV54 != SV178 )
| ( SV126 != SY1028 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[608]) ).
thf(689,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( ~ ( SV55 @ zero_zero_nat ) )
= $true )
| ( ( ~ ! [SY582: nat] :
( ~ ( SV55 @ SY582 )
| ( SV55 @ ( suc @ SY582 ) ) )
| ( SV55 @ SV127 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[609]) ).
thf(690,plain,
! [SV179: com,SV128: bexp,SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1029: com,SY1030: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati2102071307_hoare
@ ^ [SY842: list_char > int,SY843: list_char > int] :
~ ( ~ ( SV56 @ SY842 @ SY843 )
| ~ ( bval @ SV128 @ SY842 ) )
@ ( seq @ SV179 @ ( while @ SV128 @ SV179 ) )
@ SY1029
@ SY1030 )
| ( relati2102071307_hoare @ SV56 @ ( while @ SV128 @ SV179 ) @ SY1029 @ SY1030 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[610]) ).
thf(691,plain,
! [SV57: produc1260470173ar_int] :
( ( ! [SY1033: list_char > int] :
( SV57
!= ( produc1193801173ar_int @ ( sK2_SY589 @ SV57 ) @ SY1033 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[611]) ).
thf(692,plain,
! [SV180: produc1260470173ar_int,SV129: produc1260470173ar_int > com,SV58: com] :
( ( ! [SY1034: list_char > int,SY1035: produc1260470173ar_int > list_char > int,SY1036: set_Pr1148378109ar_int] :
( ( SV58
!= ( SV129 @ SV180 ) )
| ( SY1034
!= ( SY1035 @ SV180 ) )
| ~ ( member92250950ar_int @ SV180 @ SY1036 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SY1034 ) @ ( bNF_Gr202451329ar_int @ SY1036 @ SV129 @ SY1035 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[612]) ).
thf(693,plain,
! [SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1037: com,SY1038: ( list_char > int ) > ( list_char > int ) > $o,SY1039: com,SY1040: list_char > int,SY1041: list_char > int] :
( ~ ! [SY1042: nat,SY1043: list_char > int,SY1044: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1042 ) ) @ SY1043 @ SY1044 )
| ~ ! [SY1045: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1042 ) @ SY1045 @ SY1044 )
| ~ ( bval @ SV181 @ SY1045 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1037 @ SY1045 ) @ SY1043 ) ) )
| ~ ! [SY1046: list_char > int,SY1047: list_char > int] :
( ~ ( SY1038 @ SY1046 @ SY1047 )
| ~ ! [SY1048: list_char > int] :
~ ~ ! [SY1049: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1048 @ SY1049 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SY1037 ) @ SY1048 ) @ SY1046 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1039 @ SY1049 ) @ SY1047 ) ) )
| ~ ( SY1038 @ SY1040 @ SY1041 )
| ~ ! [SY1051: list_char > int] :
~ ~ ! [SY1052: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1051 @ SY1052 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SY1037 ) @ SY1051 ) @ SY1040 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1039 @ SY1052 ) @ SY1041 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[613]) ).
thf(694,plain,
! [SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ! [SY1053: list_char > int,SY1054: list_char > int] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1053 ) @ SY1054 )
| ~ ( q @ SV131 @ SY1054 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SY1053 )
| ~ ! [SY618: list_char > int] :
~ ~ ! [SY619: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY618 @ SY619 )
| ~ ( bval @ b @ SY618 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY618 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY619 ) @ SY1054 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[614]) ).
thf(695,plain,
! [SV183: com,SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1057: nat,SY1058: com,SY1059: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SY1057 ) @ ( while @ SV132 @ SV183 ) @ SY1058 @ SY1059 )
| ( relati775585786_valid
@ ^ [SY1060: list_char > int,SY1061: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SY1057 @ SY1060 @ SY1061 )
| ~ ( bval @ SV132 @ SY1060 ) )
@ SV183
@ skip
@ ^ [SY1062: list_char > int,SY1063: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ ( suc @ SY1057 ) @ SY1062 @ SY1063 )
| ~ ~ ! [SY1064: list_char > int] :
~ ~ ! [SY1065: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SV183 ) @ SY1062 ) @ SY1064 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1058 @ SY1063 ) @ SY1065 ) )
| ~ ( SY1059 @ SY1064 @ SY1065 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[615]) ).
thf(696,plain,
! [SV62: nat] :
( ( ( SV62 != zero_zero_nat )
= $false )
| ( ( ~ ! [SY631: nat] :
( SV62
!= ( suc @ SY631 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[616]) ).
thf(697,plain,
! [SV184: list_char > int,SV133: com,SV64: com] :
( ( ! [SY1066: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SY1066 )
| ~ ! [SY1067: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ SY1067 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ SY1067 ) @ SY1066 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[618]) ).
thf(698,plain,
! [SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ! [SY1068: list_char > int,SY1069: list_char > int] :
( ~ ( SV65 @ SY1068 @ SY1069 )
| ~ ! [SY1070: list_char > int] :
~ ~ ( ~ ( SV134 @ SY1068 @ SY1070 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1070 ) @ SY1069 ) ) )
| ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[619]) ).
thf(699,plain,
! [SV186: com,SV135: com,SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1071: com,SY1072: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV66 @ ( seq @ SV135 @ SV186 ) @ SY1071 @ SY1072 )
| ( relati775585786_valid @ SV66 @ SV135 @ SY1071
@ ^ [SY1073: list_char > int,SY1074: list_char > int] :
~ ! [SY1075: list_char > int] :
~ ~ ! [SY1076: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY1075 @ SY1076 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV135 @ SY1075 ) @ SY1073 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1071 @ SY1076 ) @ SY1074 ) )
| ~ ~ ! [SY1077: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV186 @ SY1073 ) @ SY1077 )
| ~ ( SY1072 @ SY1077 @ SY1074 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[620]) ).
thf(700,plain,
! [SV136: nat,SV68: nat] :
( ( ( SV68
!= ( suc @ SV136 ) )
= $true )
| ( ( SV68 != zero_zero_nat )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[622]) ).
thf(701,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ~ ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
| ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
| ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(702,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= ( ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[623]) ).
thf(703,plain,
! [SV187: com,SV138: list_char > int,SV70: bexp] :
( ( ! [SY1078: list_char > int,SY1079: com] :
( ~ ~ ( bval @ SV70 @ SV138 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SY1078 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SY1079 @ SV187 ) @ SV138 ) @ SY1078 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[624]) ).
thf(704,plain,
! [SV188: com,SV139: bexp,SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1080: com,SY1081: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid
@ ^ [SY903: list_char > int,SY904: list_char > int] :
~ ( ~ ( SV71 @ SY903 @ SY904 )
| ~ ( bval @ SV139 @ SY903 ) )
@ ( seq @ SV188 @ ( while @ SV139 @ SV188 ) )
@ SY1080
@ SY1081 )
| ( relati775585786_valid @ SV71 @ ( while @ SV139 @ SV188 ) @ SY1080 @ SY1081 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[625]) ).
thf(705,plain,
! [SV140: nat,SV72: nat] :
( ( ( ( suc @ SV72 )
!= ( suc @ SV140 ) )
= $true )
| ( ( SV72 = SV140 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[626]) ).
thf(706,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ~ ! [SY667: nat] : ( SV73 @ SY667 @ zero_zero_nat )
| ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) )
| ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[627]) ).
thf(707,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( ~ ( SV74 @ SV142 ) )
= $true )
| ( ( ~ ! [SY672: nat] :
( ~ ( SV74 @ ( suc @ SY672 ) )
| ( SV74 @ SY672 ) )
| ( SV74 @ zero_zero_nat ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[628]) ).
thf(708,plain,
! [SV190: com,SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1088: com,SY1089: ( list_char > int ) > ( list_char > int ) > $o,SY1090: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SV190
@ SY1088
@ SY1089 )
| ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SV190 @ SY1090 ) @ SY1088 @ SY1089 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[629]) ).
thf(709,plain,
! [SV191: set_Pr1148378109ar_int,SV144: list_char > int,SV76: com] :
( ( ! [SY1093: list_char > int] :
( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
| ( SY1093 != SV144 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SY1093 ) @ SV191 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[630]) ).
thf(710,plain,
! [SV145: set_Pr1148378109ar_int] :
( ( ! [SV192: produc1260470173ar_int > com] :
( ( bNF_Gr202451329ar_int @ SV145 @ SV192 )
= ( ^ [SY1094: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SY1095: produc1260470173ar_int] :
~ ! [SY1096: produc1260470173ar_int] :
~ ~ ( ( SY1095
!= ( produc1193801173ar_int @ ( SV192 @ SY1096 ) @ ( SY1094 @ SY1096 ) ) )
| ~ ( member92250950ar_int @ SY1096 @ SV145 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[631]) ).
thf(711,plain,
! [SV145: set_Pr1148378109ar_int] :
( ( ( bNF_Gr202451329ar_int @ SV145 )
= ( ^ [SY919: produc1260470173ar_int > com,SY920: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SY921: produc1260470173ar_int] :
~ ! [SY922: produc1260470173ar_int] :
~ ~ ( ( SY921
!= ( produc1193801173ar_int @ ( SY919 @ SY922 ) @ ( SY920 @ SY922 ) ) )
| ~ ( member92250950ar_int @ SY922 @ SV145 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[631]) ).
thf(712,plain,
! [SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1097: nat] :
( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SY1097 ) )
= ( ^ [SY1098: list_char > int,SY1099: list_char > int] :
~ ! [SY1100: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1100 ) @ SY1098 )
| ~ ( bval @ SV146 @ SY1100 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SY1097 @ SY1100 @ SY1099 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[632]) ).
thf(713,plain,
! [SV80: nat,SV1: nat] :
( ( ( ~ ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
| ( SV1 = SV80 ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[634]) ).
thf(714,plain,
! [SV81: nat,SV2: nat] :
( ( ( ~ ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
| ( SV2 = SV81 ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[636]) ).
thf(715,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[638]) ).
thf(716,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(717,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[640]) ).
thf(718,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 = SV84 ) ) )
= $true )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[641]) ).
thf(719,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 = SV86 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[643]) ).
thf(720,plain,
! [SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ! [SY1101: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SY1101 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SY1101 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[645]) ).
thf(721,plain,
! [SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ! [SY1102: com,SY1103: list_char > int,SY1104: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SY1102 ) @ SY1103 ) @ SY1104 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SY1102 ) @ ( if @ SV12 @ SV195 @ SY1102 ) ) @ SY1103 ) @ SY1104 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[646]) ).
thf(722,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[647]) ).
thf(723,plain,
! [SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV197: list_char > int] :
( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV197 )
= ( SV14 @ SV197 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[648]) ).
thf(724,plain,
! [SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat )
= SV14 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[648]) ).
thf(725,plain,
! [SV198: nat,SV153: com,SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1105: com,SY1106: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ ( suc @ SV198 ) ) @ ( while @ SV95 @ SV153 ) @ SY1105 @ SY1106 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ SV198 ) @ ( while @ SV95 @ SV153 ) @ SY1105 @ SY1106 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[650]) ).
thf(726,plain,
! [SV154: list_char > int] :
( ( ~ ! [SY938: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SY938 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY938 ) @ t_a ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[651]) ).
thf(727,plain,
! [SV199: list_char > int,SV155: com,SV96: com,SV18: bexp] :
( ( ! [SY1107: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SY1107 )
| ~ ( ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SY1107 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SY1107 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[652]) ).
thf(728,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[653]) ).
thf(729,plain,
! [SV20: produc1260470173ar_int] :
( ( ~ ! [SY941: list_char > int] :
( SV20
!= ( produc1193801173ar_int @ ( sK1_SY433 @ SV20 ) @ SY941 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[655]) ).
thf(730,plain,
! [SV156: com,SV98: com,SV22: com] :
( ( ( ~ ! [SY722: list_char > int,SY723: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY722 ) @ SY723 )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY722 ) @ SY723 ) ) )
= $true )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[656]) ).
thf(731,plain,
! [SV200: list_char > int,SV157: list_char > int,SV99: com,SV23: bexp] :
( ( ! [SY1108: com] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
| ~ ! [SY731: list_char > int,SY732: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY731 ) @ SY732 )
= ( big_big_step @ ( produc1193801173ar_int @ SY1108 @ SY731 ) @ SY732 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SY1108 ) @ SV157 ) @ SV200 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[657]) ).
thf(732,plain,
! [SV24: nat] :
( ( ( SV24 = zero_zero_nat )
= $true )
| ( ( ~ ! [SY449: nat] :
( SV24
!= ( suc @ SY449 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[658]) ).
thf(733,plain,
! [SV100: produc1260470173ar_int,SV25: produc1260470173ar_int > $o] :
( ( ( ! [SY451: com,SY452: list_char > int] : ( SV25 @ ( produc1193801173ar_int @ SY451 @ SY452 ) ) )
= $false )
| ( ( SV25 @ SV100 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[659]) ).
thf(734,plain,
! [SV201: list_char > int,SV158: com,SV101: list_char > int,SV26: bexp] :
( ( ! [SY1111: list_char > int] :
( ~ ( bval @ SV26 @ SV101 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SY1111 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SY1111 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[660]) ).
thf(735,plain,
! [SV202: com,SV159: com,SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1112: ( list_char > int ) > ( list_char > int ) > $o,SY1113: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SV159
@ SV202
@ SY1112 )
| ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SY1113 @ SV159 ) @ SV202 @ SY1112 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[661]) ).
thf(736,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( SV28 @ zero_zero_nat )
= $false )
| ( ( ~ ! [SY465: nat] :
( ~ ( SV28 @ SY465 )
| ( SV28 @ ( suc @ SY465 ) ) )
| ( SV28 @ SV103 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[662]) ).
thf(737,plain,
! [SV203: ( list_char > int ) > ( list_char > int ) > $o,SV160: com,SV104: bexp,SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1116: com] :
( ~ ( relati775585786_valid
@ ^ [SY748: list_char > int,SY749: list_char > int] :
~ ( ~ ( SV29 @ SY748 @ SY749 )
| ~ ~ ( bval @ SV104 @ SY748 ) )
@ skip
@ SV160
@ SV203 )
| ( relati775585786_valid @ SV29 @ ( while @ SV104 @ SY1116 ) @ SV160 @ SV203 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[663]) ).
thf(738,plain,
! [SV204: list_char > int,SV161: list_char > int,SV105: list_char > int,SV30: com] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
| ( SV204 = SV161 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[664]) ).
thf(739,plain,
! [SV205: com,SV162: list_char > int,SV106: list_char > int,SV31: com] :
( ( ! [SY1119: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV205 @ SV162 ) @ SY1119 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SV205 ) @ SV106 ) @ SY1119 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[665]) ).
thf(740,plain,
! [SV163: nat,SV107: nat,SV32: nat] :
( ( ( SV32
!= ( plus_plus_nat @ SV107 @ SV163 ) )
= $true )
| ( ( ( suc @ SV32 )
= ( plus_plus_nat @ SV107 @ ( suc @ SV163 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[666]) ).
thf(741,plain,
! [SV164: bexp,SV108: com,SV33: com] :
( ( ( ~ ! [SY757: list_char > int,SY758: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ SY757 ) @ SY758 )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ SY757 ) @ SY758 ) ) )
= $true )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[667]) ).
thf(742,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ~ ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
| ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[668]) ).
thf(743,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
| ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[670]) ).
thf(744,plain,
! [SV206: list_char > int,SV165: com,SV111: list_char > int,SV37: bexp] :
( ( ! [SY1120: com] :
( ~ ( bval @ SV37 @ SV111 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SV206 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SY1120 ) @ SV111 ) @ SV206 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[672]) ).
thf(745,plain,
! [SV112: produc1260470173ar_int,SV38: produc1260470173ar_int > $o] :
( ( ( ! [SY496: com,SY497: list_char > int] : ( SV38 @ ( produc1193801173ar_int @ SY496 @ SY497 ) ) )
= $false )
| ( ( SV38 @ SV112 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[673]) ).
thf(746,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= ( ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[674]) ).
thf(747,plain,
! [SV208: ( list_char > int ) > ( list_char > int ) > $o,SV167: com,SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1121: list_char > int,SY1122: list_char > int] :
( ~ ( relati775585786_valid @ SV40 @ SV114 @ SV167 @ SV208 )
| ( relati775585786_valid @ SV40 @ SV114 @ SV167
@ ^ [SY1123: list_char > int,SY1124: list_char > int] :
~ ( ~ ( SV208 @ SY1121 @ SY1122 )
| ~ ~ ! [SY978: list_char > int] :
~ ~ ! [SY979: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY978 @ SY979 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY978 ) @ SY1123 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV167 @ SY979 ) @ SY1124 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[675]) ).
thf(748,plain,
! [SV168: com,SV115: list_char > int,SV41: bexp] :
( ( ( ~ ~ ( bval @ SV41 @ SV115 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV41 @ SV168 ) @ SV115 ) @ SV115 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[676]) ).
thf(749,plain,
! [SV209: com,SV169: com,SV116: com,SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1127: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV42 @ ( seq @ SV116 @ SV169 ) @ SV209 @ SY1127 )
| ( relati775585786_valid
@ ^ [SY1128: list_char > int,SY1129: list_char > int] :
~ ! [SY1130: list_char > int] :
~ ~ ! [SY1131: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY1130 @ SY1131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV116 @ SY1130 ) @ SY1128 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV209 @ SY1131 ) @ SY1129 ) )
| ~ ~ ! [SY986: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV169 @ SY1128 ) @ SY986 )
| ~ ( SY1127 @ SY986 @ SY1129 ) ) )
@ SV169
@ skip
@ SY1127 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[677]) ).
thf(750,plain,
! [SV117: list_char > int,SV43: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SV117 )
= $false )
| ( ( SV117 = SV43 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[678]) ).
thf(751,plain,
! [SV210: com,SV170: com,SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1133: ( list_char > int ) > ( list_char > int ) > $o,SY1134: com] :
( ~ ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SV170
@ SV210
@ SY1133 )
| ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SV170 @ SY1134 ) @ SV210 @ SY1133 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[679]) ).
thf(752,plain,
! [SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY992: list_char > int,SY993: list_char > int] :
( ~ ( SV45 @ SY992 @ SY993 )
| ~ ! [SY994: list_char > int] :
~ ~ ( ~ ( SV119 @ SY992 @ SY994 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY994 ) @ SY993 ) ) ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[680]) ).
thf(753,plain,
! [SV211: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1137: com,SY1138: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SY1137 @ SY1138 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SY1137
@ ^ [SY1000: list_char > int,SY1001: list_char > int] :
~ ( ~ ( SY1138 @ SY1000 @ SY1001 )
| ~ ~ ! [SY1002: list_char > int] :
~ ~ ! [SY1003: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1002 @ SY1003 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1002 ) @ SY1000 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1137 @ SY1003 ) @ SY1001 ) )
| ~ ( bval @ SV120 @ SY1002 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SY1137
@ ^ [SY1147: list_char > int,SY1148: list_char > int] :
~ ( ~ ( SY1138 @ SY1147 @ SY1148 )
| ~ ~ ! [SY1149: list_char > int] :
~ ~ ! [SY1150: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1149 @ SY1150 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1149 ) @ SY1147 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1137 @ SY1150 ) @ SY1148 ) )
| ~ ~ ( bval @ SV120 @ SY1149 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[681]) ).
thf(754,plain,
! [SV212: com,SV173: com,SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1151: ( list_char > int ) > ( list_char > int ) > $o,SY1152: com] :
( ~ ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SV173
@ SV212
@ SY1151 )
| ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SY1152 @ SV173 ) @ SV212 @ SY1151 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[682]) ).
thf(755,plain,
! [SV213: ( list_char > int ) > ( list_char > int ) > $o,SV174: com,SV122: bexp,SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1155: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY822: list_char > int,SY823: list_char > int] :
~ ( ~ ( SV48 @ SY822 @ SY823 )
| ~ ~ ( bval @ SV122 @ SY822 ) )
@ skip
@ SV174
@ SV213 )
| ( relati2102071307_hoare @ SV48 @ ( while @ SV122 @ SY1155 ) @ SV174 @ SV213 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[683]) ).
thf(756,plain,
! [SV214: list_char > int,SV175: list_char > int,SV123: com,SV50: bexp] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
| ~ ( ( SV214 != SV175 )
| ( bval @ SV50 @ SV175 ) )
| ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[684]) ).
thf(757,plain,
! [SV215: list_char > int,SV176: com,SV124: list_char > int,SV51: com] :
( ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
!= ( produc1193801173ar_int @ SV176 @ SV215 ) )
| ~ ( ( SV51 != SV176 )
| ( SV124 != SV215 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[685]) ).
thf(758,plain,
! [SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 )
= ( ^ [SY1159: com,SY1160: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY1161: list_char > int,SY1162: list_char > int] :
( ~ ( SY1160 @ SY1161 @ SY1162 )
| ~ ! [SY1163: list_char > int] :
~ ~ ! [SY1164: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1163 @ SY1164 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1163 ) @ SY1161 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1159 @ SY1164 ) @ SY1162 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[686]) ).
thf(759,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= ( ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[688]) ).
thf(760,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( SV55 @ zero_zero_nat )
= $false )
| ( ( ~ ! [SY582: nat] :
( ~ ( SV55 @ SY582 )
| ( SV55 @ ( suc @ SY582 ) ) )
| ( SV55 @ SV127 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[689]) ).
thf(761,plain,
! [SV218: com,SV179: com,SV128: bexp,SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1165: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati2102071307_hoare
@ ^ [SY842: list_char > int,SY843: list_char > int] :
~ ( ~ ( SV56 @ SY842 @ SY843 )
| ~ ( bval @ SV128 @ SY842 ) )
@ ( seq @ SV179 @ ( while @ SV128 @ SV179 ) )
@ SV218
@ SY1165 )
| ( relati2102071307_hoare @ SV56 @ ( while @ SV128 @ SV179 ) @ SV218 @ SY1165 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[690]) ).
thf(762,plain,
! [SV57: produc1260470173ar_int] :
( ( SV57
!= ( produc1193801173ar_int @ ( sK2_SY589 @ SV57 ) @ ( sK3_SY1033 @ SV57 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[691]) ).
thf(763,plain,
! [SV219: list_char > int,SV180: produc1260470173ar_int,SV129: produc1260470173ar_int > com,SV58: com] :
( ( ! [SY1168: produc1260470173ar_int > list_char > int,SY1169: set_Pr1148378109ar_int] :
( ( SV58
!= ( SV129 @ SV180 ) )
| ( SV219
!= ( SY1168 @ SV180 ) )
| ~ ( member92250950ar_int @ SV180 @ SY1169 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SY1169 @ SV129 @ SY1168 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[692]) ).
thf(764,plain,
! [SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1170: ( list_char > int ) > ( list_char > int ) > $o,SY1171: com,SY1172: list_char > int,SY1173: list_char > int] :
( ~ ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) )
| ~ ! [SY1178: list_char > int,SY1179: list_char > int] :
( ~ ( SY1170 @ SY1178 @ SY1179 )
| ~ ! [SY1180: list_char > int] :
~ ~ ! [SY1181: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1180 @ SY1181 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1180 ) @ SY1178 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1171 @ SY1181 ) @ SY1179 ) ) )
| ~ ( SY1170 @ SY1172 @ SY1173 )
| ~ ! [SY1183: list_char > int] :
~ ~ ! [SY1184: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1183 @ SY1184 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1183 ) @ SY1172 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1171 @ SY1184 ) @ SY1173 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[693]) ).
thf(765,plain,
! [SV221: list_char > int,SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ! [SY1185: list_char > int] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SY1185 )
| ~ ( q @ SV131 @ SY1185 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY618: list_char > int] :
~ ~ ! [SY619: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY618 @ SY619 )
| ~ ( bval @ b @ SY618 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY618 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY619 ) @ SY1185 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[694]) ).
thf(766,plain,
! [SV222: nat,SV183: com,SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1188: com,SY1189: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 ) @ ( while @ SV132 @ SV183 ) @ SY1188 @ SY1189 )
| ( relati775585786_valid
@ ^ [SY1190: list_char > int,SY1191: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 @ SY1190 @ SY1191 )
| ~ ( bval @ SV132 @ SY1190 ) )
@ SV183
@ skip
@ ^ [SY1192: list_char > int,SY1193: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ ( suc @ SV222 ) @ SY1192 @ SY1193 )
| ~ ~ ! [SY1064: list_char > int] :
~ ~ ! [SY1065: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SV183 ) @ SY1192 ) @ SY1064 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1188 @ SY1193 ) @ SY1065 ) )
| ~ ( SY1189 @ SY1064 @ SY1065 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[695]) ).
thf(767,plain,
! [SV62: nat] :
( ( ( SV62 = zero_zero_nat )
= $true )
| ( ( ~ ! [SY631: nat] :
( SV62
!= ( suc @ SY631 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[696]) ).
thf(768,plain,
! [SV223: list_char > int,SV184: list_char > int,SV133: com,SV64: com] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
| ~ ! [SY1196: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ SY1196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ SY1196 ) @ SV223 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[697]) ).
thf(769,plain,
! [SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1068: list_char > int,SY1069: list_char > int] :
( ~ ( SV65 @ SY1068 @ SY1069 )
| ~ ! [SY1070: list_char > int] :
~ ~ ( ~ ( SV134 @ SY1068 @ SY1070 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1070 ) @ SY1069 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[698]) ).
thf(770,plain,
! [SV224: com,SV186: com,SV135: com,SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1197: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV66 @ ( seq @ SV135 @ SV186 ) @ SV224 @ SY1197 )
| ( relati775585786_valid @ SV66 @ SV135 @ SV224
@ ^ [SY1198: list_char > int,SY1199: list_char > int] :
~ ! [SY1200: list_char > int] :
~ ~ ! [SY1201: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY1200 @ SY1201 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV135 @ SY1200 ) @ SY1198 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV224 @ SY1201 ) @ SY1199 ) )
| ~ ~ ! [SY1077: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV186 @ SY1198 ) @ SY1077 )
| ~ ( SY1197 @ SY1077 @ SY1199 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[699]) ).
thf(771,plain,
! [SV136: nat,SV68: nat] :
( ( ( SV68
= ( suc @ SV136 ) )
= $false )
| ( ( SV68 != zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[700]) ).
thf(772,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
| ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[701]) ).
thf(773,plain,
! [SV225: list_char > int,SV187: com,SV138: list_char > int,SV70: bexp] :
( ( ! [SY1203: com] :
( ~ ~ ( bval @ SV70 @ SV138 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SY1203 @ SV187 ) @ SV138 ) @ SV225 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[703]) ).
thf(774,plain,
! [SV226: com,SV188: com,SV139: bexp,SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1204: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid
@ ^ [SY903: list_char > int,SY904: list_char > int] :
~ ( ~ ( SV71 @ SY903 @ SY904 )
| ~ ( bval @ SV139 @ SY903 ) )
@ ( seq @ SV188 @ ( while @ SV139 @ SV188 ) )
@ SV226
@ SY1204 )
| ( relati775585786_valid @ SV71 @ ( while @ SV139 @ SV188 ) @ SV226 @ SY1204 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[704]) ).
thf(775,plain,
! [SV140: nat,SV72: nat] :
( ( ( ( suc @ SV72 )
= ( suc @ SV140 ) )
= $false )
| ( ( SV72 = SV140 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[705]) ).
thf(776,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ( ~ ! [SY667: nat] : ( SV73 @ SY667 @ zero_zero_nat ) )
= $true )
| ( ( ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) )
| ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[706]) ).
thf(777,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( SV74 @ SV142 )
= $false )
| ( ( ~ ! [SY672: nat] :
( ~ ( SV74 @ ( suc @ SY672 ) )
| ( SV74 @ SY672 ) )
| ( SV74 @ zero_zero_nat ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[707]) ).
thf(778,plain,
! [SV227: com,SV190: com,SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1207: ( list_char > int ) > ( list_char > int ) > $o,SY1208: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SV190
@ SV227
@ SY1207 )
| ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SV190 @ SY1208 ) @ SV227 @ SY1207 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[708]) ).
thf(779,plain,
! [SV228: list_char > int,SV191: set_Pr1148378109ar_int,SV144: list_char > int,SV76: com] :
( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
| ( SV228 != SV144 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[709]) ).
thf(780,plain,
! [SV229: produc1260470173ar_int > com,SV145: set_Pr1148378109ar_int] :
( ( ( bNF_Gr202451329ar_int @ SV145 @ SV229 )
= ( ^ [SY1211: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SY1212: produc1260470173ar_int] :
~ ! [SY1213: produc1260470173ar_int] :
~ ~ ( ( SY1212
!= ( produc1193801173ar_int @ ( SV229 @ SY1213 ) @ ( SY1211 @ SY1213 ) ) )
| ~ ( member92250950ar_int @ SY1213 @ SV145 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[710]) ).
thf(781,plain,
! [SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) )
= ( ^ [SY1214: list_char > int,SY1215: list_char > int] :
~ ! [SY1216: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1216 ) @ SY1214 )
| ~ ( bval @ SV146 @ SY1216 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1216 @ SY1215 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[712]) ).
thf(782,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
| ( SV1 = SV80 ) )
= $false )
| ( ( ~ ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[713]) ).
thf(783,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
| ( SV2 = SV81 ) )
= $false )
| ( ( ~ ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[714]) ).
thf(784,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[715]) ).
thf(785,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[716]) ).
thf(786,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 = SV84 ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[718]) ).
thf(787,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 = SV86 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[719]) ).
thf(788,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[720]) ).
thf(789,plain,
! [SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ! [SY1217: list_char > int,SY1218: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SY1217 ) @ SY1218 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SY1217 ) @ SY1218 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[721]) ).
thf(790,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(791,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[722]) ).
thf(792,plain,
! [SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 )
= ( SV14 @ SV233 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[723]) ).
thf(793,plain,
! [SV234: com,SV198: nat,SV153: com,SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1219: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ ( suc @ SV198 ) ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SY1219 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ SV198 ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SY1219 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[725]) ).
thf(794,plain,
! [SV154: list_char > int] :
( ( ! [SY938: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SY938 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY938 ) @ t_a ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[726]) ).
thf(795,plain,
! [SV235: list_char > int,SV199: list_char > int,SV155: com,SV96: com,SV18: bexp] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
| ~ ( ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[727]) ).
thf(796,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[728]) ).
thf(797,plain,
! [SV20: produc1260470173ar_int] :
( ( ! [SY941: list_char > int] :
( SV20
!= ( produc1193801173ar_int @ ( sK1_SY433 @ SV20 ) @ SY941 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[729]) ).
thf(798,plain,
! [SV156: com,SV98: com,SV22: com] :
( ( ( ! [SY722: list_char > int,SY723: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY722 ) @ SY723 )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY722 ) @ SY723 ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[730]) ).
thf(799,plain,
! [SV236: com,SV200: list_char > int,SV157: list_char > int,SV99: com,SV23: bexp] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
| ~ ! [SY1220: list_char > int,SY1221: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY1220 ) @ SY1221 )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ SY1220 ) @ SY1221 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[731]) ).
thf(800,plain,
! [SV24: nat] :
( ( ( ! [SY449: nat] :
( SV24
!= ( suc @ SY449 ) ) )
= $false )
| ( ( SV24 = zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[732]) ).
thf(801,plain,
! [SV100: produc1260470173ar_int,SV25: produc1260470173ar_int > $o] :
( ( ( ! [SY1222: list_char > int] : ( SV25 @ ( produc1193801173ar_int @ ( sK4_SY451 @ SV100 @ SV25 ) @ SY1222 ) ) )
= $false )
| ( ( SV25 @ SV100 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[733]) ).
thf(802,plain,
! [SV237: list_char > int,SV201: list_char > int,SV158: com,SV101: list_char > int,SV26: bexp] :
( ( ~ ( bval @ SV26 @ SV101 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[734]) ).
thf(803,plain,
! [SV238: ( list_char > int ) > ( list_char > int ) > $o,SV202: com,SV159: com,SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1223: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SV159
@ SV202
@ SV238 )
| ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SY1223 @ SV159 ) @ SV202 @ SV238 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[735]) ).
thf(804,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( ~ ! [SY465: nat] :
( ~ ( SV28 @ SY465 )
| ( SV28 @ ( suc @ SY465 ) ) ) )
= $true )
| ( ( SV28 @ SV103 )
= $true )
| ( ( SV28 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[736]) ).
thf(805,plain,
! [SV239: com,SV203: ( list_char > int ) > ( list_char > int ) > $o,SV160: com,SV104: bexp,SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid
@ ^ [SY748: list_char > int,SY749: list_char > int] :
~ ( ~ ( SV29 @ SY748 @ SY749 )
| ~ ~ ( bval @ SV104 @ SY748 ) )
@ skip
@ SV160
@ SV203 )
| ( relati775585786_valid @ SV29 @ ( while @ SV104 @ SV239 ) @ SV160 @ SV203 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[737]) ).
thf(806,plain,
! [SV204: list_char > int,SV161: list_char > int,SV105: list_char > int,SV30: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
| ( SV204 = SV161 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[738]) ).
thf(807,plain,
! [SV240: list_char > int,SV205: com,SV162: list_char > int,SV106: list_char > int,SV31: com] :
( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV205 @ SV162 ) @ SV240 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SV205 ) @ SV106 ) @ SV240 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[739]) ).
thf(808,plain,
! [SV163: nat,SV107: nat,SV32: nat] :
( ( ( SV32
= ( plus_plus_nat @ SV107 @ SV163 ) )
= $false )
| ( ( ( suc @ SV32 )
= ( plus_plus_nat @ SV107 @ ( suc @ SV163 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[740]) ).
thf(809,plain,
! [SV164: bexp,SV108: com,SV33: com] :
( ( ( ! [SY757: list_char > int,SY758: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ SY757 ) @ SY758 )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ SY757 ) @ SY758 ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[741]) ).
thf(810,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
| ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[742]) ).
thf(811,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
| ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[743]) ).
thf(812,plain,
! [SV241: com,SV206: list_char > int,SV165: com,SV111: list_char > int,SV37: bexp] :
( ( ~ ( bval @ SV37 @ SV111 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SV206 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SV241 ) @ SV111 ) @ SV206 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[744]) ).
thf(813,plain,
! [SV112: produc1260470173ar_int,SV38: produc1260470173ar_int > $o] :
( ( ( ! [SY1228: list_char > int] : ( SV38 @ ( produc1193801173ar_int @ ( sK5_SY496 @ SV112 @ SV38 ) @ SY1228 ) ) )
= $false )
| ( ( SV38 @ SV112 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[745]) ).
thf(814,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
| ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[746]) ).
thf(815,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= ( ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[746]) ).
thf(816,plain,
! [SV242: list_char > int,SV208: ( list_char > int ) > ( list_char > int ) > $o,SV167: com,SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1229: list_char > int] :
( ~ ( relati775585786_valid @ SV40 @ SV114 @ SV167 @ SV208 )
| ( relati775585786_valid @ SV40 @ SV114 @ SV167
@ ^ [SY1230: list_char > int,SY1231: list_char > int] :
~ ( ~ ( SV208 @ SV242 @ SY1229 )
| ~ ~ ! [SY978: list_char > int] :
~ ~ ! [SY979: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY978 @ SY979 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY978 ) @ SY1230 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV167 @ SY979 ) @ SY1231 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[747]) ).
thf(817,plain,
! [SV168: com,SV115: list_char > int,SV41: bexp] :
( ( ( ~ ( bval @ SV41 @ SV115 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV41 @ SV168 ) @ SV115 ) @ SV115 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[748]) ).
thf(818,plain,
! [SV243: ( list_char > int ) > ( list_char > int ) > $o,SV209: com,SV169: com,SV116: com,SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid @ SV42 @ ( seq @ SV116 @ SV169 ) @ SV209 @ SV243 )
| ( relati775585786_valid
@ ^ [SY1234: list_char > int,SY1235: list_char > int] :
~ ! [SY1236: list_char > int] :
~ ~ ! [SY1237: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY1236 @ SY1237 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV116 @ SY1236 ) @ SY1234 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV209 @ SY1237 ) @ SY1235 ) )
| ~ ~ ! [SY1238: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV169 @ SY1234 ) @ SY1238 )
| ~ ( SV243 @ SY1238 @ SY1235 ) ) )
@ SV169
@ skip
@ SV243 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[749]) ).
thf(819,plain,
! [SV43: list_char > int,SV117: list_char > int] :
( ( ( ! [SV244: list_char] :
( ( SV117 @ SV244 )
= ( SV43 @ SV244 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SV117 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(820,plain,
! [SV43: list_char > int,SV117: list_char > int] :
( ( ( SV117 = SV43 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SV117 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[750]) ).
thf(821,plain,
! [SV245: ( list_char > int ) > ( list_char > int ) > $o,SV210: com,SV170: com,SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1239: com] :
( ~ ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SV170
@ SV210
@ SV245 )
| ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SV170 @ SY1239 ) @ SV210 @ SV245 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[751]) ).
thf(822,plain,
! [SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY992: list_char > int,SY993: list_char > int] :
( ~ ( SV45 @ SY992 @ SY993 )
| ~ ! [SY994: list_char > int] :
~ ~ ( ~ ( SV119 @ SY992 @ SY994 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY994 ) @ SY993 ) ) ) )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[752]) ).
thf(823,plain,
! [SV246: com,SV211: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1242: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SY1242 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1245: list_char > int,SY1246: list_char > int] :
~ ( ~ ( SY1242 @ SY1245 @ SY1246 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1245 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1246 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1251: list_char > int,SY1252: list_char > int] :
~ ( ~ ( SY1242 @ SY1251 @ SY1252 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1251 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1252 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[753]) ).
thf(824,plain,
! [SV247: ( list_char > int ) > ( list_char > int ) > $o,SV212: com,SV173: com,SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1255: com] :
( ~ ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SV173
@ SV212
@ SV247 )
| ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SY1255 @ SV173 ) @ SV212 @ SV247 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[754]) ).
thf(825,plain,
! [SV248: com,SV213: ( list_char > int ) > ( list_char > int ) > $o,SV174: com,SV122: bexp,SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati2102071307_hoare
@ ^ [SY822: list_char > int,SY823: list_char > int] :
~ ( ~ ( SV48 @ SY822 @ SY823 )
| ~ ~ ( bval @ SV122 @ SY822 ) )
@ skip
@ SV174
@ SV213 )
| ( relati2102071307_hoare @ SV48 @ ( while @ SV122 @ SV248 ) @ SV174 @ SV213 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[755]) ).
thf(826,plain,
! [SV214: list_char > int,SV175: list_char > int,SV123: com,SV50: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 ) )
= $true )
| ( ( ~ ( ( SV214 != SV175 )
| ( bval @ SV50 @ SV175 ) )
| ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[756]) ).
thf(827,plain,
! [SV215: list_char > int,SV176: com,SV124: list_char > int,SV51: com] :
( ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
!= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $true )
| ( ( ~ ( ( SV51 != SV176 )
| ( SV124 != SV215 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[757]) ).
thf(828,plain,
! [SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV249: com] :
( ( relati775585786_valid @ SV125 @ SV216 @ SV249 )
= ( ^ [SY1260: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY1261: list_char > int,SY1262: list_char > int] :
( ~ ( SY1260 @ SY1261 @ SY1262 )
| ~ ! [SY1263: list_char > int] :
~ ~ ! [SY1264: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1263 @ SY1264 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1263 ) @ SY1261 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV249 @ SY1264 ) @ SY1262 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(829,plain,
! [SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 )
= ( ^ [SY1159: com,SY1160: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY1161: list_char > int,SY1162: list_char > int] :
( ~ ( SY1160 @ SY1161 @ SY1162 )
| ~ ! [SY1163: list_char > int] :
~ ~ ! [SY1164: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1163 @ SY1164 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1163 ) @ SY1161 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1159 @ SY1164 ) @ SY1162 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[758]) ).
thf(830,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
| ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[759]) ).
thf(831,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= ( ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[759]) ).
thf(832,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( ~ ! [SY582: nat] :
( ~ ( SV55 @ SY582 )
| ( SV55 @ ( suc @ SY582 ) ) ) )
= $true )
| ( ( SV55 @ SV127 )
= $true )
| ( ( SV55 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[760]) ).
thf(833,plain,
! [SV250: ( list_char > int ) > ( list_char > int ) > $o,SV218: com,SV179: com,SV128: bexp,SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati2102071307_hoare
@ ^ [SY842: list_char > int,SY843: list_char > int] :
~ ( ~ ( SV56 @ SY842 @ SY843 )
| ~ ( bval @ SV128 @ SY842 ) )
@ ( seq @ SV179 @ ( while @ SV128 @ SV179 ) )
@ SV218
@ SV250 )
| ( relati2102071307_hoare @ SV56 @ ( while @ SV128 @ SV179 ) @ SV218 @ SV250 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[761]) ).
thf(834,plain,
! [SV57: produc1260470173ar_int] :
( ( SV57
= ( produc1193801173ar_int @ ( sK2_SY589 @ SV57 ) @ ( sK3_SY1033 @ SV57 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[762]) ).
thf(835,plain,
! [SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int,SV180: produc1260470173ar_int,SV129: produc1260470173ar_int > com,SV58: com] :
( ( ! [SY1267: set_Pr1148378109ar_int] :
( ( SV58
!= ( SV129 @ SV180 ) )
| ( SV219
!= ( SV251 @ SV180 ) )
| ~ ( member92250950ar_int @ SV180 @ SY1267 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SY1267 @ SV129 @ SV251 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[763]) ).
thf(836,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1268: com,SY1269: list_char > int,SY1270: list_char > int] :
( ~ ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) )
| ~ ! [SY1275: list_char > int,SY1276: list_char > int] :
( ~ ( SV252 @ SY1275 @ SY1276 )
| ~ ! [SY1180: list_char > int] :
~ ~ ! [SY1181: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1180 @ SY1181 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1180 ) @ SY1275 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1268 @ SY1181 ) @ SY1276 ) ) )
| ~ ( SV252 @ SY1269 @ SY1270 )
| ~ ! [SY1183: list_char > int] :
~ ~ ! [SY1184: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1183 @ SY1184 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1183 ) @ SY1269 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SY1268 @ SY1184 ) @ SY1270 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[764]) ).
thf(837,plain,
! [SV253: list_char > int,SV221: list_char > int,SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[765]) ).
thf(838,plain,
! [SV254: com,SV222: nat,SV183: com,SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1284: ( list_char > int ) > ( list_char > int ) > $o] :
( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 ) @ ( while @ SV132 @ SV183 ) @ SV254 @ SY1284 )
| ( relati775585786_valid
@ ^ [SY1190: list_char > int,SY1191: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 @ SY1190 @ SY1191 )
| ~ ( bval @ SV132 @ SY1190 ) )
@ SV183
@ skip
@ ^ [SY1287: list_char > int,SY1288: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ ( suc @ SV222 ) @ SY1287 @ SY1288 )
| ~ ~ ! [SY1289: list_char > int] :
~ ~ ! [SY1290: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SV183 ) @ SY1287 ) @ SY1289 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV254 @ SY1288 ) @ SY1290 ) )
| ~ ( SY1284 @ SY1289 @ SY1290 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[766]) ).
thf(839,plain,
! [SV62: nat] :
( ( ( ! [SY631: nat] :
( SV62
!= ( suc @ SY631 ) ) )
= $false )
| ( ( SV62 = zero_zero_nat )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[767]) ).
thf(840,plain,
! [SV223: list_char > int,SV184: list_char > int,SV133: com,SV64: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 ) )
= $true )
| ( ( ~ ! [SY1196: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ SY1196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ SY1196 ) @ SV223 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[768]) ).
thf(841,plain,
! [SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1068: list_char > int,SY1069: list_char > int] :
( ~ ( SV65 @ SY1068 @ SY1069 )
| ~ ! [SY1070: list_char > int] :
~ ~ ( ~ ( SV134 @ SY1068 @ SY1070 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1070 ) @ SY1069 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[769]) ).
thf(842,plain,
! [SV255: ( list_char > int ) > ( list_char > int ) > $o,SV224: com,SV186: com,SV135: com,SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid @ SV66 @ ( seq @ SV135 @ SV186 ) @ SV224 @ SV255 )
| ( relati775585786_valid @ SV66 @ SV135 @ SV224
@ ^ [SY1291: list_char > int,SY1292: list_char > int] :
~ ! [SY1293: list_char > int] :
~ ~ ! [SY1294: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY1293 @ SY1294 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV135 @ SY1293 ) @ SY1291 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV224 @ SY1294 ) @ SY1292 ) )
| ~ ~ ! [SY1295: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV186 @ SY1291 ) @ SY1295 )
| ~ ( SV255 @ SY1295 @ SY1292 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[770]) ).
thf(843,plain,
! [SV136: nat,SV68: nat] :
( ( ( SV68 = zero_zero_nat )
= $false )
| ( ( SV68
= ( suc @ SV136 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[771]) ).
thf(844,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
| ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[772]) ).
thf(845,plain,
! [SV256: com,SV225: list_char > int,SV187: com,SV138: list_char > int,SV70: bexp] :
( ( ~ ~ ( bval @ SV70 @ SV138 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SV256 @ SV187 ) @ SV138 ) @ SV225 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[773]) ).
thf(846,plain,
! [SV257: ( list_char > int ) > ( list_char > int ) > $o,SV226: com,SV188: com,SV139: bexp,SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid
@ ^ [SY903: list_char > int,SY904: list_char > int] :
~ ( ~ ( SV71 @ SY903 @ SY904 )
| ~ ( bval @ SV139 @ SY903 ) )
@ ( seq @ SV188 @ ( while @ SV139 @ SV188 ) )
@ SV226
@ SV257 )
| ( relati775585786_valid @ SV71 @ ( while @ SV139 @ SV188 ) @ SV226 @ SV257 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[774]) ).
thf(847,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ( ! [SY667: nat] : ( SV73 @ SY667 @ zero_zero_nat ) )
= $false )
| ( ( ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) )
| ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[776]) ).
thf(848,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( ~ ! [SY672: nat] :
( ~ ( SV74 @ ( suc @ SY672 ) )
| ( SV74 @ SY672 ) ) )
= $true )
| ( ( SV74 @ zero_zero_nat )
= $true )
| ( ( SV74 @ SV142 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[777]) ).
thf(849,plain,
! [SV258: ( list_char > int ) > ( list_char > int ) > $o,SV227: com,SV190: com,SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1298: com] :
( ~ ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SV190
@ SV227
@ SV258 )
| ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SV190 @ SY1298 ) @ SV227 @ SV258 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[778]) ).
thf(850,plain,
! [SV228: list_char > int,SV191: set_Pr1148378109ar_int,SV144: list_char > int,SV76: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 ) )
= $true )
| ( ( ( SV228 != SV144 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[779]) ).
thf(851,plain,
! [SV229: produc1260470173ar_int > com,SV145: set_Pr1148378109ar_int] :
( ( ! [SV259: produc1260470173ar_int > list_char > int] :
( ( bNF_Gr202451329ar_int @ SV145 @ SV229 @ SV259 )
= ( collec770796680ar_int
@ ^ [SY1301: produc1260470173ar_int] :
~ ! [SY1302: produc1260470173ar_int] :
~ ~ ( ( SY1301
!= ( produc1193801173ar_int @ ( SV229 @ SY1302 ) @ ( SV259 @ SY1302 ) ) )
| ~ ( member92250950ar_int @ SY1302 @ SV145 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[780]) ).
thf(852,plain,
! [SV229: produc1260470173ar_int > com,SV145: set_Pr1148378109ar_int] :
( ( ( bNF_Gr202451329ar_int @ SV145 @ SV229 )
= ( ^ [SY1211: produc1260470173ar_int > list_char > int] :
( collec770796680ar_int
@ ^ [SY1212: produc1260470173ar_int] :
~ ! [SY1213: produc1260470173ar_int] :
~ ~ ( ( SY1212
!= ( produc1193801173ar_int @ ( SV229 @ SY1213 ) @ ( SY1211 @ SY1213 ) ) )
| ~ ( member92250950ar_int @ SY1213 @ SV145 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[780]) ).
thf(853,plain,
! [SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV260: list_char > int] :
( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV260 )
= ( ^ [SY1303: list_char > int] :
~ ! [SY1304: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1304 ) @ SV260 )
| ~ ( bval @ SV146 @ SY1304 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1304 @ SY1303 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[781]) ).
thf(854,plain,
! [SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) )
= ( ^ [SY1214: list_char > int,SY1215: list_char > int] :
~ ! [SY1216: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1216 ) @ SY1214 )
| ~ ( bval @ SV146 @ SY1216 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1216 @ SY1215 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[781]) ).
thf(855,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $false )
| ( ( ~ ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(856,plain,
! [SV80: nat,SV1: nat] :
( ( ( SV1 = SV80 )
= $false )
| ( ( ~ ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[782]) ).
thf(857,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $false )
| ( ( ~ ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(858,plain,
! [SV81: nat,SV2: nat] :
( ( ( SV2 = SV81 )
= $false )
| ( ( ~ ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[783]) ).
thf(859,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(860,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[784]) ).
thf(861,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[785]) ).
thf(862,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(863,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[786]) ).
thf(864,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(865,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[787]) ).
thf(866,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[788]) ).
thf(867,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[788]) ).
thf(868,plain,
! [SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ! [SY1305: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SY1305 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SY1305 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[789]) ).
thf(869,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[790]) ).
thf(870,plain,
! [SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV262: list_char > int] :
( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV262 )
= ( SV14 @ SV233 @ SV262 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(871,plain,
! [SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 )
= ( SV14 @ SV233 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[792]) ).
thf(872,plain,
! [SV263: ( list_char > int ) > ( list_char > int ) > $o,SV234: com,SV198: nat,SV153: com,SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ ( suc @ SV198 ) ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SV263 )
| ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ SV198 ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SV263 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[793]) ).
thf(873,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[794]) ).
thf(874,plain,
! [SV235: list_char > int,SV199: list_char > int,SV155: com,SV96: com,SV18: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 ) )
= $true )
| ( ( ~ ( ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[795]) ).
thf(875,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(876,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[796]) ).
thf(877,plain,
! [SV20: produc1260470173ar_int] :
( ( SV20
!= ( produc1193801173ar_int @ ( sK1_SY433 @ SV20 ) @ ( sK6_SY941 @ SV20 ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[797]) ).
thf(878,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ! [SY1306: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ SY1306 )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ SY1306 ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[798]) ).
thf(879,plain,
! [SV236: com,SV200: list_char > int,SV157: list_char > int,SV99: com,SV23: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 ) )
= $true )
| ( ( ~ ! [SY1220: list_char > int,SY1221: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY1220 ) @ SY1221 )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ SY1220 ) @ SY1221 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[799]) ).
thf(880,plain,
! [SV24: nat] :
( ( ( SV24
!= ( suc @ ( sK8_SY449 @ SV24 ) ) )
= $false )
| ( ( SV24 = zero_zero_nat )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[800]) ).
thf(881,plain,
! [SV100: produc1260470173ar_int,SV25: produc1260470173ar_int > $o] :
( ( ( SV25 @ ( produc1193801173ar_int @ ( sK4_SY451 @ SV100 @ SV25 ) @ ( sK9_SY1222 @ SV100 @ SV25 ) ) )
= $false )
| ( ( SV25 @ SV100 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[801]) ).
thf(882,plain,
! [SV237: list_char > int,SV201: list_char > int,SV158: com,SV101: list_char > int,SV26: bexp] :
( ( ( ~ ( bval @ SV26 @ SV101 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[802]) ).
thf(883,plain,
! [SV265: com,SV238: ( list_char > int ) > ( list_char > int ) > $o,SV202: com,SV159: com,SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SV159
@ SV202
@ SV238 )
| ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SV265 @ SV159 ) @ SV202 @ SV238 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[803]) ).
thf(884,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( ! [SY465: nat] :
( ~ ( SV28 @ SY465 )
| ( SV28 @ ( suc @ SY465 ) ) ) )
= $false )
| ( ( SV28 @ SV103 )
= $true )
| ( ( SV28 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[804]) ).
thf(885,plain,
! [SV239: com,SV203: ( list_char > int ) > ( list_char > int ) > $o,SV160: com,SV104: bexp,SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY748: list_char > int,SY749: list_char > int] :
~ ( ~ ( SV29 @ SY748 @ SY749 )
| ~ ~ ( bval @ SV104 @ SY748 ) )
@ skip
@ SV160
@ SV203 ) )
= $true )
| ( ( relati775585786_valid @ SV29 @ ( while @ SV104 @ SV239 ) @ SV160 @ SV203 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[805]) ).
thf(886,plain,
! [SV204: list_char > int,SV161: list_char > int,SV105: list_char > int,SV30: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
| ( SV204 = SV161 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[806]) ).
thf(887,plain,
! [SV240: list_char > int,SV205: com,SV162: list_char > int,SV106: list_char > int,SV31: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV205 @ SV162 ) @ SV240 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SV205 ) @ SV106 ) @ SV240 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[807]) ).
thf(888,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ! [SY1309: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ SY1309 )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ SY1309 ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[809]) ).
thf(889,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(890,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[810]) ).
thf(891,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[811]) ).
thf(892,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[811]) ).
thf(893,plain,
! [SV241: com,SV206: list_char > int,SV165: com,SV111: list_char > int,SV37: bexp] :
( ( ( ~ ( bval @ SV37 @ SV111 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SV206 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SV241 ) @ SV111 ) @ SV206 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[812]) ).
thf(894,plain,
! [SV112: produc1260470173ar_int,SV38: produc1260470173ar_int > $o] :
( ( ( SV38 @ ( produc1193801173ar_int @ ( sK5_SY496 @ SV112 @ SV38 ) @ ( sK11_SY1228 @ SV112 @ SV38 ) ) )
= $false )
| ( ( SV38 @ SV112 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[813]) ).
thf(895,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[814]) ).
thf(896,plain,
! [SV266: list_char > int,SV242: list_char > int,SV208: ( list_char > int ) > ( list_char > int ) > $o,SV167: com,SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid @ SV40 @ SV114 @ SV167 @ SV208 )
| ( relati775585786_valid @ SV40 @ SV114 @ SV167
@ ^ [SY1310: list_char > int,SY1311: list_char > int] :
~ ( ~ ( SV208 @ SV242 @ SV266 )
| ~ ~ ! [SY978: list_char > int] :
~ ~ ! [SY979: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY978 @ SY979 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY978 ) @ SY1310 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV167 @ SY979 ) @ SY1311 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[816]) ).
thf(897,plain,
! [SV168: com,SV115: list_char > int,SV41: bexp] :
( ( ( bval @ SV41 @ SV115 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV41 @ SV168 ) @ SV115 ) @ SV115 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[817]) ).
thf(898,plain,
! [SV243: ( list_char > int ) > ( list_char > int ) > $o,SV209: com,SV169: com,SV116: com,SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV42 @ ( seq @ SV116 @ SV169 ) @ SV209 @ SV243 ) )
= $true )
| ( ( relati775585786_valid
@ ^ [SY1234: list_char > int,SY1235: list_char > int] :
~ ! [SY1236: list_char > int] :
~ ~ ! [SY1237: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY1236 @ SY1237 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV116 @ SY1236 ) @ SY1234 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV209 @ SY1237 ) @ SY1235 ) )
| ~ ~ ! [SY1238: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV169 @ SY1234 ) @ SY1238 )
| ~ ( SV243 @ SY1238 @ SY1235 ) ) )
@ SV169
@ skip
@ SV243 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[818]) ).
thf(899,plain,
! [SV43: list_char > int,SV267: list_char,SV117: list_char > int] :
( ( ( ( SV117 @ SV267 )
= ( SV43 @ SV267 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV43 ) @ SV117 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[819]) ).
thf(900,plain,
! [SV268: com,SV245: ( list_char > int ) > ( list_char > int ) > $o,SV210: com,SV170: com,SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SV170
@ SV210
@ SV245 )
| ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SV170 @ SV268 ) @ SV210 @ SV245 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[821]) ).
thf(901,plain,
! [SV119: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1316: list_char > int] :
( ~ ( SV45 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SY1316 )
| ~ ! [SY1317: list_char > int] :
~ ~ ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SY1317 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY1317 ) @ SY1316 ) ) ) )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[822]) ).
thf(902,plain,
! [SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV211: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
| ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1320: list_char > int,SY1321: list_char > int] :
~ ( ~ ( SV269 @ SY1320 @ SY1321 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1320 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1321 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1326: list_char > int,SY1327: list_char > int] :
~ ( ~ ( SV269 @ SY1326 @ SY1327 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1326 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1327 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[823]) ).
thf(903,plain,
! [SV270: com,SV247: ( list_char > int ) > ( list_char > int ) > $o,SV212: com,SV173: com,SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SV173
@ SV212
@ SV247 )
| ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SV270 @ SV173 ) @ SV212 @ SV247 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[824]) ).
thf(904,plain,
! [SV248: com,SV213: ( list_char > int ) > ( list_char > int ) > $o,SV174: com,SV122: bexp,SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati2102071307_hoare
@ ^ [SY822: list_char > int,SY823: list_char > int] :
~ ( ~ ( SV48 @ SY822 @ SY823 )
| ~ ~ ( bval @ SV122 @ SY822 ) )
@ skip
@ SV174
@ SV213 ) )
= $true )
| ( ( relati2102071307_hoare @ SV48 @ ( while @ SV122 @ SV248 ) @ SV174 @ SV213 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[825]) ).
thf(905,plain,
! [SV214: list_char > int,SV175: list_char > int,SV123: com,SV50: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false )
| ( ( ~ ( ( SV214 != SV175 )
| ( bval @ SV50 @ SV175 ) )
| ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[826]) ).
thf(906,plain,
! [SV215: list_char > int,SV176: com,SV124: list_char > int,SV51: com] :
( ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false )
| ( ( ~ ( ( SV51 != SV176 )
| ( SV124 != SV215 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[827]) ).
thf(907,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 )
= ( ^ [SY1332: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY1333: list_char > int,SY1334: list_char > int] :
( ~ ( SY1332 @ SY1333 @ SY1334 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1333 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1334 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[828]) ).
thf(908,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[830]) ).
thf(909,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( ! [SY582: nat] :
( ~ ( SV55 @ SY582 )
| ( SV55 @ ( suc @ SY582 ) ) ) )
= $false )
| ( ( SV55 @ SV127 )
= $true )
| ( ( SV55 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[832]) ).
thf(910,plain,
! [SV250: ( list_char > int ) > ( list_char > int ) > $o,SV218: com,SV179: com,SV128: bexp,SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati2102071307_hoare
@ ^ [SY842: list_char > int,SY843: list_char > int] :
~ ( ~ ( SV56 @ SY842 @ SY843 )
| ~ ( bval @ SV128 @ SY842 ) )
@ ( seq @ SV179 @ ( while @ SV128 @ SV179 ) )
@ SV218
@ SV250 ) )
= $true )
| ( ( relati2102071307_hoare @ SV56 @ ( while @ SV128 @ SV179 ) @ SV218 @ SV250 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[833]) ).
thf(911,plain,
! [SV272: set_Pr1148378109ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int,SV180: produc1260470173ar_int,SV129: produc1260470173ar_int > com,SV58: com] :
( ( ( SV58
!= ( SV129 @ SV180 ) )
| ( SV219
!= ( SV251 @ SV180 ) )
| ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[835]) ).
thf(912,plain,
! [SV273: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1337: list_char > int,SY1338: list_char > int] :
( ~ ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) )
| ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SY1337 @ SY1338 )
| ~ ! [SY1348: list_char > int] :
~ ~ ! [SY1349: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1348 @ SY1349 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1348 ) @ SY1337 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1349 ) @ SY1338 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[836]) ).
thf(913,plain,
! [SV253: list_char > int,SV221: list_char > int,SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ( ~ ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[837]) ).
thf(914,plain,
! [SV274: ( list_char > int ) > ( list_char > int ) > $o,SV254: com,SV222: nat,SV183: com,SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 ) @ ( while @ SV132 @ SV183 ) @ SV254 @ SV274 )
| ( relati775585786_valid
@ ^ [SY1190: list_char > int,SY1191: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 @ SY1190 @ SY1191 )
| ~ ( bval @ SV132 @ SY1190 ) )
@ SV183
@ skip
@ ^ [SY1352: list_char > int,SY1353: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ ( suc @ SV222 ) @ SY1352 @ SY1353 )
| ~ ~ ! [SY1354: list_char > int] :
~ ~ ! [SY1355: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SV183 ) @ SY1352 ) @ SY1354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV254 @ SY1353 ) @ SY1355 ) )
| ~ ( SV274 @ SY1354 @ SY1355 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[838]) ).
thf(915,plain,
! [SV62: nat] :
( ( ( SV62
!= ( suc @ ( sK13_SY631 @ SV62 ) ) )
= $false )
| ( ( SV62 = zero_zero_nat )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[839]) ).
thf(916,plain,
! [SV223: list_char > int,SV184: list_char > int,SV133: com,SV64: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false )
| ( ( ~ ! [SY1196: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ SY1196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ SY1196 ) @ SV223 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[840]) ).
thf(917,plain,
! [SV134: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1356: list_char > int] :
( ~ ( SV65 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SY1356 )
| ~ ! [SY1357: list_char > int] :
~ ~ ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SY1357 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1357 ) @ SY1356 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[841]) ).
thf(918,plain,
! [SV255: ( list_char > int ) > ( list_char > int ) > $o,SV224: com,SV186: com,SV135: com,SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV66 @ ( seq @ SV135 @ SV186 ) @ SV224 @ SV255 ) )
= $true )
| ( ( relati775585786_valid @ SV66 @ SV135 @ SV224
@ ^ [SY1291: list_char > int,SY1292: list_char > int] :
~ ! [SY1293: list_char > int] :
~ ~ ! [SY1294: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY1293 @ SY1294 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV135 @ SY1293 ) @ SY1291 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV224 @ SY1294 ) @ SY1292 ) )
| ~ ~ ! [SY1295: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV186 @ SY1291 ) @ SY1295 )
| ~ ( SV255 @ SY1295 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[842]) ).
thf(919,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(920,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[844]) ).
thf(921,plain,
! [SV256: com,SV225: list_char > int,SV187: com,SV138: list_char > int,SV70: bexp] :
( ( ( ~ ~ ( bval @ SV70 @ SV138 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SV256 @ SV187 ) @ SV138 ) @ SV225 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[845]) ).
thf(922,plain,
! [SV257: ( list_char > int ) > ( list_char > int ) > $o,SV226: com,SV188: com,SV139: bexp,SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY903: list_char > int,SY904: list_char > int] :
~ ( ~ ( SV71 @ SY903 @ SY904 )
| ~ ( bval @ SV139 @ SY903 ) )
@ ( seq @ SV188 @ ( while @ SV139 @ SV188 ) )
@ SV226
@ SV257 ) )
= $true )
| ( ( relati775585786_valid @ SV71 @ ( while @ SV139 @ SV188 ) @ SV226 @ SV257 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[846]) ).
thf(923,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false )
| ( ( ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) )
| ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[847]) ).
thf(924,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( ! [SY672: nat] :
( ~ ( SV74 @ ( suc @ SY672 ) )
| ( SV74 @ SY672 ) ) )
= $false )
| ( ( SV74 @ zero_zero_nat )
= $true )
| ( ( SV74 @ SV142 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[848]) ).
thf(925,plain,
! [SV275: com,SV258: ( list_char > int ) > ( list_char > int ) > $o,SV227: com,SV190: com,SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SV190
@ SV227
@ SV258 )
| ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SV190 @ SV275 ) @ SV227 @ SV258 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[849]) ).
thf(926,plain,
! [SV228: list_char > int,SV191: set_Pr1148378109ar_int,SV144: list_char > int,SV76: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
= $false )
| ( ( ( SV228 != SV144 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[850]) ).
thf(927,plain,
! [SV276: produc1260470173ar_int > list_char > int,SV229: produc1260470173ar_int > com,SV145: set_Pr1148378109ar_int] :
( ( ( bNF_Gr202451329ar_int @ SV145 @ SV229 @ SV276 )
= ( collec770796680ar_int
@ ^ [SY1360: produc1260470173ar_int] :
~ ! [SY1361: produc1260470173ar_int] :
~ ~ ( ( SY1360
!= ( produc1193801173ar_int @ ( SV229 @ SY1361 ) @ ( SV276 @ SY1361 ) ) )
| ~ ( member92250950ar_int @ SY1361 @ SV145 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[851]) ).
thf(928,plain,
! [SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 )
= ( ^ [SY1362: list_char > int] :
~ ! [SY1363: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1363 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1363 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1363 @ SY1362 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[853]) ).
thf(929,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) )
= $false )
| ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[855]) ).
thf(930,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
| ( SV1 != SV80 ) )
= $false )
| ( ( SV1 = SV80 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[856]) ).
thf(931,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) )
= $false )
| ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[857]) ).
thf(932,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
| ( SV2 != SV81 ) )
= $false )
| ( ( SV2 = SV81 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[858]) ).
thf(933,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY1364: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ SY1364 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ SY1364 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[859]) ).
thf(934,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY1365: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ SY1365 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ SY1365 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[860]) ).
thf(935,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(936,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[861]) ).
thf(937,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV278: com] :
( ( ^ [SY1366: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV278 @ SY1366 ) @ SV5 ) )
= ( ^ [SY1367: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV278 @ SY1367 ) @ SV84 ) ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[862]) ).
thf(938,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[862]) ).
thf(939,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[863]) ).
thf(940,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[864]) ).
thf(941,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ! [SV279: list_char] :
( ( SV7 @ SV279 )
= ( SV86 @ SV279 ) ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[865]) ).
thf(942,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[865]) ).
thf(943,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[866]) ).
thf(944,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[868]) ).
thf(945,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[869]) ).
thf(946,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= ( SV14 @ SV233 @ SV281 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[870]) ).
thf(947,plain,
! [SV263: ( list_char > int ) > ( list_char > int ) > $o,SV234: com,SV198: nat,SV153: com,SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ ( suc @ SV198 ) ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SV263 ) )
= $true )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ SV198 ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SV263 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[872]) ).
thf(948,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[873]) ).
thf(949,plain,
! [SV235: list_char > int,SV199: list_char > int,SV155: com,SV96: com,SV18: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false )
| ( ( ~ ( ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 ) )
| ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[874]) ).
thf(950,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[875]) ).
thf(951,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) ) )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(952,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[876]) ).
thf(953,plain,
! [SV20: produc1260470173ar_int] :
( ( SV20
= ( produc1193801173ar_int @ ( sK1_SY433 @ SV20 ) @ ( sK6_SY941 @ SV20 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[877]) ).
thf(954,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[878]) ).
thf(955,plain,
! [SV236: com,SV200: list_char > int,SV157: list_char > int,SV99: com,SV23: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false )
| ( ( ~ ! [SY1220: list_char > int,SY1221: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY1220 ) @ SY1221 )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ SY1220 ) @ SY1221 ) )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[879]) ).
thf(956,plain,
! [SV24: nat] :
( ( ( SV24
= ( suc @ ( sK8_SY449 @ SV24 ) ) )
= $true )
| ( ( SV24 = zero_zero_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[880]) ).
thf(957,plain,
! [SV237: list_char > int,SV201: list_char > int,SV158: com,SV101: list_char > int,SV26: bexp] :
( ( ( bval @ SV26 @ SV101 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[882]) ).
thf(958,plain,
! [SV265: com,SV238: ( list_char > int ) > ( list_char > int ) > $o,SV202: com,SV159: com,SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SV159
@ SV202
@ SV238 ) )
= $true )
| ( ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SV265 @ SV159 ) @ SV202 @ SV238 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[883]) ).
thf(959,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( ~ ( SV28 @ ( sK19_SY465 @ SV103 @ SV28 ) )
| ( SV28 @ ( suc @ ( sK19_SY465 @ SV103 @ SV28 ) ) ) )
= $false )
| ( ( SV28 @ SV103 )
= $true )
| ( ( SV28 @ zero_zero_nat )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[884]) ).
thf(960,plain,
! [SV239: com,SV203: ( list_char > int ) > ( list_char > int ) > $o,SV160: com,SV104: bexp,SV29: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid
@ ^ [SY748: list_char > int,SY749: list_char > int] :
~ ( ~ ( SV29 @ SY748 @ SY749 )
| ~ ~ ( bval @ SV104 @ SY748 ) )
@ skip
@ SV160
@ SV203 )
= $false )
| ( ( relati775585786_valid @ SV29 @ ( while @ SV104 @ SV239 ) @ SV160 @ SV203 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[885]) ).
thf(961,plain,
! [SV161: list_char > int,SV204: list_char > int,SV105: list_char > int,SV30: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 ) )
= $true )
| ( ( SV204 = SV161 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[886]) ).
thf(962,plain,
! [SV240: list_char > int,SV205: com,SV162: list_char > int,SV106: list_char > int,SV31: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV205 @ SV162 ) @ SV240 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SV205 ) @ SV106 ) @ SV240 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[887]) ).
thf(963,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[888]) ).
thf(964,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[889]) ).
thf(965,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[890]) ).
thf(966,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[891]) ).
thf(967,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) ) )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(968,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[892]) ).
thf(969,plain,
! [SV241: com,SV206: list_char > int,SV165: com,SV111: list_char > int,SV37: bexp] :
( ( ( bval @ SV37 @ SV111 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SV206 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SV241 ) @ SV111 ) @ SV206 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[893]) ).
thf(970,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[895]) ).
thf(971,plain,
! [SV266: list_char > int,SV242: list_char > int,SV208: ( list_char > int ) > ( list_char > int ) > $o,SV167: com,SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV40 @ SV114 @ SV167 @ SV208 ) )
= $true )
| ( ( relati775585786_valid @ SV40 @ SV114 @ SV167
@ ^ [SY1310: list_char > int,SY1311: list_char > int] :
~ ( ~ ( SV208 @ SV242 @ SV266 )
| ~ ~ ! [SY978: list_char > int] :
~ ~ ! [SY979: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY978 @ SY979 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY978 ) @ SY1310 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV167 @ SY979 ) @ SY1311 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[896]) ).
thf(972,plain,
! [SV243: ( list_char > int ) > ( list_char > int ) > $o,SV209: com,SV169: com,SV116: com,SV42: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV42 @ ( seq @ SV116 @ SV169 ) @ SV209 @ SV243 )
= $false )
| ( ( relati775585786_valid
@ ^ [SY1234: list_char > int,SY1235: list_char > int] :
~ ! [SY1236: list_char > int] :
~ ~ ! [SY1237: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV42 @ SY1236 @ SY1237 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV116 @ SY1236 ) @ SY1234 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV209 @ SY1237 ) @ SY1235 ) )
| ~ ~ ! [SY1238: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV169 @ SY1234 ) @ SY1238 )
| ~ ( SV243 @ SY1238 @ SY1235 ) ) )
@ SV169
@ skip
@ SV243 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[898]) ).
thf(973,plain,
! [SV268: com,SV245: ( list_char > int ) > ( list_char > int ) > $o,SV210: com,SV170: com,SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SV170
@ SV210
@ SV245 ) )
= $true )
| ( ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SV170 @ SV268 ) @ SV210 @ SV245 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[900]) ).
thf(974,plain,
! [SV119: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV45 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) )
| ~ ! [SY1368: list_char > int] :
~ ~ ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SY1368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY1368 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) ) )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[901]) ).
thf(975,plain,
! [SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV211: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1320: list_char > int,SY1321: list_char > int] :
~ ( ~ ( SV269 @ SY1320 @ SY1321 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1320 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1321 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1326: list_char > int,SY1327: list_char > int] :
~ ( ~ ( SV269 @ SY1326 @ SY1327 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1326 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1327 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[902]) ).
thf(976,plain,
! [SV270: com,SV247: ( list_char > int ) > ( list_char > int ) > $o,SV212: com,SV173: com,SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SV173
@ SV212
@ SV247 ) )
= $true )
| ( ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SV270 @ SV173 ) @ SV212 @ SV247 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[903]) ).
thf(977,plain,
! [SV248: com,SV213: ( list_char > int ) > ( list_char > int ) > $o,SV174: com,SV122: bexp,SV48: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare
@ ^ [SY822: list_char > int,SY823: list_char > int] :
~ ( ~ ( SV48 @ SY822 @ SY823 )
| ~ ~ ( bval @ SV122 @ SY822 ) )
@ skip
@ SV174
@ SV213 )
= $false )
| ( ( relati2102071307_hoare @ SV48 @ ( while @ SV122 @ SV248 ) @ SV174 @ SV213 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[904]) ).
thf(978,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV214: list_char > int] :
( ( ( ~ ( ( SV214 != SV175 )
| ( bval @ SV50 @ SV175 ) ) )
= $true )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[905]) ).
thf(979,plain,
! [SV215: list_char > int,SV124: list_char > int,SV176: com,SV51: com] :
( ( ( ( SV51 != SV176 )
| ( SV124 != SV215 ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[906]) ).
thf(980,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV282: ( list_char > int ) > ( list_char > int ) > $o] :
( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV282 )
= ( ! [SY1369: list_char > int,SY1370: list_char > int] :
( ~ ( SV282 @ SY1369 @ SY1370 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1369 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1370 ) ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[907]) ).
thf(981,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 )
= ( ^ [SY1332: ( list_char > int ) > ( list_char > int ) > $o] :
! [SY1333: list_char > int,SY1334: list_char > int] :
( ~ ( SY1332 @ SY1333 @ SY1334 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1333 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1334 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[907]) ).
thf(982,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[908]) ).
thf(983,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( ~ ( SV55 @ ( sK22_SY582 @ SV127 @ SV55 ) )
| ( SV55 @ ( suc @ ( sK22_SY582 @ SV127 @ SV55 ) ) ) )
= $false )
| ( ( SV55 @ SV127 )
= $true )
| ( ( SV55 @ zero_zero_nat )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[909]) ).
thf(984,plain,
! [SV250: ( list_char > int ) > ( list_char > int ) > $o,SV218: com,SV179: com,SV128: bexp,SV56: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare
@ ^ [SY842: list_char > int,SY843: list_char > int] :
~ ( ~ ( SV56 @ SY842 @ SY843 )
| ~ ( bval @ SV128 @ SY842 ) )
@ ( seq @ SV179 @ ( while @ SV128 @ SV179 ) )
@ SV218
@ SV250 )
= $false )
| ( ( relati2102071307_hoare @ SV56 @ ( while @ SV128 @ SV179 ) @ SV218 @ SV250 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[910]) ).
thf(985,plain,
! [SV272: set_Pr1148378109ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int,SV180: produc1260470173ar_int,SV129: produc1260470173ar_int > com,SV58: com] :
( ( ( SV58
!= ( SV129 @ SV180 ) )
= $true )
| ( ( ( SV219
!= ( SV251 @ SV180 ) )
| ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[911]) ).
thf(986,plain,
! [SV283: list_char > int,SV273: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SY1373: list_char > int] :
( ~ ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) )
| ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SY1373 )
| ~ ! [SY1383: list_char > int] :
~ ~ ! [SY1384: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1383 @ SY1384 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1383 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1384 ) @ SY1373 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[912]) ).
thf(987,plain,
! [SV253: list_char > int,SV221: list_char > int,SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[913]) ).
thf(988,plain,
! [SV274: ( list_char > int ) > ( list_char > int ) > $o,SV254: com,SV222: nat,SV183: com,SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 ) @ ( while @ SV132 @ SV183 ) @ SV254 @ SV274 ) )
= $true )
| ( ( relati775585786_valid
@ ^ [SY1190: list_char > int,SY1191: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 @ SY1190 @ SY1191 )
| ~ ( bval @ SV132 @ SY1190 ) )
@ SV183
@ skip
@ ^ [SY1352: list_char > int,SY1353: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ ( suc @ SV222 ) @ SY1352 @ SY1353 )
| ~ ~ ! [SY1354: list_char > int] :
~ ~ ! [SY1355: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SV183 ) @ SY1352 ) @ SY1354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV254 @ SY1353 ) @ SY1355 ) )
| ~ ( SV274 @ SY1354 @ SY1355 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[914]) ).
thf(989,plain,
! [SV62: nat] :
( ( ( SV62
= ( suc @ ( sK13_SY631 @ SV62 ) ) )
= $true )
| ( ( SV62 = zero_zero_nat )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[915]) ).
thf(990,plain,
! [SV223: list_char > int,SV133: com,SV184: list_char > int,SV64: com] :
( ( ( ! [SY1196: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ SY1196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ SY1196 ) @ SV223 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[916]) ).
thf(991,plain,
! [SV134: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV65 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) )
| ~ ! [SY1385: list_char > int] :
~ ~ ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SY1385 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1385 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[917]) ).
thf(992,plain,
! [SV255: ( list_char > int ) > ( list_char > int ) > $o,SV224: com,SV186: com,SV135: com,SV66: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV66 @ ( seq @ SV135 @ SV186 ) @ SV224 @ SV255 )
= $false )
| ( ( relati775585786_valid @ SV66 @ SV135 @ SV224
@ ^ [SY1291: list_char > int,SY1292: list_char > int] :
~ ! [SY1293: list_char > int] :
~ ~ ! [SY1294: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV66 @ SY1293 @ SY1294 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV135 @ SY1293 ) @ SY1291 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV224 @ SY1294 ) @ SY1292 ) )
| ~ ~ ! [SY1295: list_char > int] :
~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV186 @ SY1291 ) @ SY1295 )
| ~ ( SV255 @ SY1295 @ SY1292 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[918]) ).
thf(993,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[919]) ).
thf(994,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[920]) ).
thf(995,plain,
! [SV256: com,SV225: list_char > int,SV187: com,SV138: list_char > int,SV70: bexp] :
( ( ( ~ ( bval @ SV70 @ SV138 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SV256 @ SV187 ) @ SV138 ) @ SV225 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[921]) ).
thf(996,plain,
! [SV257: ( list_char > int ) > ( list_char > int ) > $o,SV226: com,SV188: com,SV139: bexp,SV71: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid
@ ^ [SY903: list_char > int,SY904: list_char > int] :
~ ( ~ ( SV71 @ SY903 @ SY904 )
| ~ ( bval @ SV139 @ SY903 ) )
@ ( seq @ SV188 @ ( while @ SV139 @ SV188 ) )
@ SV226
@ SV257 )
= $false )
| ( ( relati775585786_valid @ SV71 @ ( while @ SV139 @ SV188 ) @ SV226 @ SV257 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[922]) ).
thf(997,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ( ~ ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) ) )
= $true )
| ( ( ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[923]) ).
thf(998,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( ~ ( SV74 @ ( suc @ ( sK24_SY672 @ SV142 @ SV74 ) ) )
| ( SV74 @ ( sK24_SY672 @ SV142 @ SV74 ) ) )
= $false )
| ( ( SV74 @ zero_zero_nat )
= $true )
| ( ( SV74 @ SV142 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[924]) ).
thf(999,plain,
! [SV275: com,SV258: ( list_char > int ) > ( list_char > int ) > $o,SV227: com,SV190: com,SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SV190
@ SV227
@ SV258 ) )
= $true )
| ( ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SV190 @ SV275 ) @ SV227 @ SV258 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[925]) ).
thf(1000,plain,
! [SV191: set_Pr1148378109ar_int,SV76: com,SV144: list_char > int,SV228: list_char > int] :
( ( ( SV228 != SV144 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[926]) ).
thf(1001,plain,
! [SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ! [SV284: list_char > int] :
( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV284 )
= ( ~ ! [SY1386: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1386 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1386 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1386 @ SV284 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(1002,plain,
! [SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 )
= ( ^ [SY1362: list_char > int] :
~ ! [SY1363: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1363 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1363 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1363 @ SY1362 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[928]) ).
thf(1003,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
= $false )
| ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(1004,plain,
! [SV80: nat,SV1: nat] :
( ( ( SV1 != SV80 )
= $false )
| ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[929]) ).
thf(1005,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
!= ( suc @ SV80 ) )
= $false )
| ( ( SV1 = SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(1006,plain,
! [SV80: nat,SV1: nat] :
( ( ( SV1 != SV80 )
= $false )
| ( ( SV1 = SV80 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[930]) ).
thf(1007,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
= $false )
| ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(1008,plain,
! [SV81: nat,SV2: nat] :
( ( ( SV2 != SV81 )
= $false )
| ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[931]) ).
thf(1009,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
!= ( suc @ SV81 ) )
= $false )
| ( ( SV2 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(1010,plain,
! [SV81: nat,SV2: nat] :
( ( ( SV2 != SV81 )
= $false )
| ( ( SV2 = SV81 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[932]) ).
thf(1011,plain,
! [SV82: com,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[933]) ).
thf(1012,plain,
! [SV3: com,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[934]) ).
thf(1013,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[935]) ).
thf(1014,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[936]) ).
thf(1015,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[937]) ).
thf(1016,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[938]) ).
thf(1017,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(1018,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 != SV84 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[939]) ).
thf(1019,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1020,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 != SV86 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[940]) ).
thf(1021,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[941]) ).
thf(1022,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) )
= $false )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[942]) ).
thf(1023,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[943]) ).
thf(1024,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1025,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[944]) ).
thf(1026,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1027,plain,
! [SV13: bexp,SV196: list_char > int,SV150: list_char > int,SV91: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[945]) ).
thf(1028,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ( SV14 @ SV233 @ SV281 ) )
| ~ ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[946]) ).
thf(1029,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= ( SV14 @ SV233 @ SV281 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[946]) ).
thf(1030,plain,
! [SV263: ( list_char > int ) > ( list_char > int ) > $o,SV234: com,SV198: nat,SV153: com,SV95: bexp,SV17: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ ( suc @ SV198 ) ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SV263 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ SV17 @ SV95 @ SV153 @ SV198 ) @ ( while @ SV95 @ SV153 ) @ SV234 @ SV263 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[947]) ).
thf(1031,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[948]) ).
thf(1032,plain,
! [SV155: com,SV235: list_char > int,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ( ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[949]) ).
thf(1033,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1034,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[950]) ).
thf(1035,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[951]) ).
thf(1036,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[952]) ).
thf(1037,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[954]) ).
thf(1038,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[954]) ).
thf(1039,plain,
! [SV200: list_char > int,SV157: list_char > int,SV23: bexp,SV236: com,SV99: com] :
( ( ( ~ ! [SY1220: list_char > int,SY1221: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY1220 ) @ SY1221 )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ SY1220 ) @ SY1221 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[955]) ).
thf(1040,plain,
! [SV237: list_char > int,SV26: bexp,SV201: list_char > int,SV101: list_char > int,SV158: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 ) )
= $true )
| ( ( bval @ SV26 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[957]) ).
thf(1041,plain,
! [SV265: com,SV238: ( list_char > int ) > ( list_char > int ) > $o,SV202: com,SV159: com,SV102: bexp,SV27: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare
@ ^ [SY742: list_char > int,SY743: list_char > int] :
~ ( ~ ( SV27 @ SY742 @ SY743 )
| ~ ~ ( bval @ SV102 @ SY742 ) )
@ SV159
@ SV202
@ SV238 )
= $false )
| ( ( relati2102071307_hoare @ SV27 @ ( if @ SV102 @ SV265 @ SV159 ) @ SV202 @ SV238 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[958]) ).
thf(1042,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( ~ ( SV28 @ ( sK19_SY465 @ SV103 @ SV28 ) ) )
= $false )
| ( ( SV28 @ SV103 )
= $true )
| ( ( SV28 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1043,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( SV28 @ ( suc @ ( sK19_SY465 @ SV103 @ SV28 ) ) )
= $false )
| ( ( SV28 @ SV103 )
= $true )
| ( ( SV28 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[959]) ).
thf(1044,plain,
! [SV161: list_char > int,SV204: list_char > int,SV105: list_char > int,SV30: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
= $false )
| ( ( SV204 = SV161 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[961]) ).
thf(1045,plain,
! [SV106: list_char > int,SV31: com,SV240: list_char > int,SV162: list_char > int,SV205: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV205 @ SV162 ) @ SV240 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SV205 ) @ SV106 ) @ SV240 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[962]) ).
thf(1046,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[963]) ).
thf(1047,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[963]) ).
thf(1048,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1049,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[964]) ).
thf(1050,plain,
! [SV35: nat,SV285: typerep,SV109: list_typerep] :
( ( ( ~ ~ ! [SY1389: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SV285 @ SY1389 ) )
| ( ( size_s416147576yperep @ SY1389 )
!= SV35 ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[965]) ).
thf(1051,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1052,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[966]) ).
thf(1053,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[967]) ).
thf(1054,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[968]) ).
thf(1055,plain,
! [SV241: com,SV37: bexp,SV206: list_char > int,SV111: list_char > int,SV165: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SV206 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SV241 ) @ SV111 ) @ SV206 )
= $true )
| ( ( bval @ SV37 @ SV111 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[969]) ).
thf(1056,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1057,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[970]) ).
thf(1058,plain,
! [SV266: list_char > int,SV242: list_char > int,SV208: ( list_char > int ) > ( list_char > int ) > $o,SV167: com,SV114: com,SV40: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV40 @ SV114 @ SV167 @ SV208 )
= $false )
| ( ( relati775585786_valid @ SV40 @ SV114 @ SV167
@ ^ [SY1310: list_char > int,SY1311: list_char > int] :
~ ( ~ ( SV208 @ SV242 @ SV266 )
| ~ ~ ! [SY978: list_char > int] :
~ ~ ! [SY979: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV40 @ SY978 @ SY979 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV114 @ SY978 ) @ SY1310 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV167 @ SY979 ) @ SY1311 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[971]) ).
thf(1059,plain,
! [SV268: com,SV245: ( list_char > int ) > ( list_char > int ) > $o,SV210: com,SV170: com,SV118: bexp,SV44: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid
@ ^ [SY791: list_char > int,SY792: list_char > int] :
~ ( ~ ( SV44 @ SY791 @ SY792 )
| ~ ( bval @ SV118 @ SY791 ) )
@ SV170
@ SV210
@ SV245 )
= $false )
| ( ( relati775585786_valid @ SV44 @ ( if @ SV118 @ SV170 @ SV268 ) @ SV210 @ SV245 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[973]) ).
thf(1060,plain,
! [SV119: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV45 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1061,plain,
! [SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1368: list_char > int] :
~ ~ ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SY1368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY1368 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) ) )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[974]) ).
thf(1062,plain,
! [SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV211: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1320: list_char > int,SY1321: list_char > int] :
~ ( ~ ( SV269 @ SY1320 @ SY1321 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1320 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1321 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1326: list_char > int,SY1327: list_char > int] :
~ ( ~ ( SV269 @ SY1326 @ SY1327 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1326 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1327 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[975]) ).
thf(1063,plain,
! [SV270: com,SV247: ( list_char > int ) > ( list_char > int ) > $o,SV212: com,SV173: com,SV121: bexp,SV47: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid
@ ^ [SY817: list_char > int,SY818: list_char > int] :
~ ( ~ ( SV47 @ SY817 @ SY818 )
| ~ ~ ( bval @ SV121 @ SY817 ) )
@ SV173
@ SV212
@ SV247 )
= $false )
| ( ( relati775585786_valid @ SV47 @ ( if @ SV121 @ SV270 @ SV173 ) @ SV212 @ SV247 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[976]) ).
thf(1064,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV214: list_char > int] :
( ( ( ( SV214 != SV175 )
| ( bval @ SV50 @ SV175 ) )
= $false )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[978]) ).
thf(1065,plain,
! [SV215: list_char > int,SV124: list_char > int,SV176: com,SV51: com] :
( ( ( SV51 != SV176 )
= $false )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1066,plain,
! [SV176: com,SV51: com,SV215: list_char > int,SV124: list_char > int] :
( ( ( SV124 != SV215 )
= $false )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[979]) ).
thf(1067,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= ( ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[980]) ).
thf(1068,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1069,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[982]) ).
thf(1070,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( ~ ( SV55 @ ( sK22_SY582 @ SV127 @ SV55 ) ) )
= $false )
| ( ( SV55 @ SV127 )
= $true )
| ( ( SV55 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1071,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( SV55 @ ( suc @ ( sK22_SY582 @ SV127 @ SV55 ) ) )
= $false )
| ( ( SV55 @ SV127 )
= $true )
| ( ( SV55 @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[983]) ).
thf(1072,plain,
! [SV272: set_Pr1148378109ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int,SV180: produc1260470173ar_int,SV129: produc1260470173ar_int > com,SV58: com] :
( ( ( SV58
= ( SV129 @ SV180 ) )
= $false )
| ( ( ( SV219
!= ( SV251 @ SV180 ) )
| ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[985]) ).
thf(1073,plain,
! [SV287: list_char > int,SV283: list_char > int,SV273: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) )
| ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[986]) ).
thf(1074,plain,
! [SV253: list_char > int,SV221: list_char > int,SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[987]) ).
thf(1075,plain,
! [SV274: ( list_char > int ) > ( list_char > int ) > $o,SV254: com,SV222: nat,SV183: com,SV132: bexp,SV61: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 ) @ ( while @ SV132 @ SV183 ) @ SV254 @ SV274 )
= $false )
| ( ( relati775585786_valid
@ ^ [SY1190: list_char > int,SY1191: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ SV222 @ SY1190 @ SY1191 )
| ~ ( bval @ SV132 @ SY1190 ) )
@ SV183
@ skip
@ ^ [SY1352: list_char > int,SY1353: list_char > int] :
~ ( ~ ( relati23543761ar_int @ SV61 @ SV132 @ SV183 @ ( suc @ SV222 ) @ SY1352 @ SY1353 )
| ~ ~ ! [SY1354: list_char > int] :
~ ~ ! [SY1355: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV132 @ SV183 ) @ SY1352 ) @ SY1354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV254 @ SY1353 ) @ SY1355 ) )
| ~ ( SV274 @ SY1354 @ SY1355 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[988]) ).
thf(1076,plain,
! [SV133: com,SV223: list_char > int,SV184: list_char > int,SV64: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ ( sK29_SY1196 @ SV223 @ SV133 @ SV184 @ SV64 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ ( sK29_SY1196 @ SV223 @ SV133 @ SV184 @ SV64 ) ) @ SV223 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[990]) ).
thf(1077,plain,
! [SV134: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV65 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1078,plain,
! [SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1385: list_char > int] :
~ ~ ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SY1385 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1385 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[991]) ).
thf(1079,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1080,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[993]) ).
thf(1081,plain,
! [SV137: nat,SV288: typerep,SV69: list_typerep] :
( ( ( ~ ~ ! [SY1405: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SV288 @ SY1405 ) )
| ( ( size_s416147576yperep @ SY1405 )
!= SV137 ) ) )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[994]) ).
thf(1082,plain,
! [SV256: com,SV225: list_char > int,SV187: com,SV138: list_char > int,SV70: bexp] :
( ( ( bval @ SV70 @ SV138 )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SV256 @ SV187 ) @ SV138 ) @ SV225 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[995]) ).
thf(1083,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ( ! [SY668: nat] : ( SV73 @ zero_zero_nat @ ( suc @ SY668 ) ) )
= $false )
| ( ( ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[997]) ).
thf(1084,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( ~ ( SV74 @ ( suc @ ( sK24_SY672 @ SV142 @ SV74 ) ) ) )
= $false )
| ( ( SV74 @ zero_zero_nat )
= $true )
| ( ( SV74 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1085,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( SV74 @ ( sK24_SY672 @ SV142 @ SV74 ) )
= $false )
| ( ( SV74 @ zero_zero_nat )
= $true )
| ( ( SV74 @ SV142 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[998]) ).
thf(1086,plain,
! [SV275: com,SV258: ( list_char > int ) > ( list_char > int ) > $o,SV227: com,SV190: com,SV143: bexp,SV75: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati2102071307_hoare
@ ^ [SY915: list_char > int,SY916: list_char > int] :
~ ( ~ ( SV75 @ SY915 @ SY916 )
| ~ ( bval @ SV143 @ SY915 ) )
@ SV190
@ SV227
@ SV258 )
= $false )
| ( ( relati2102071307_hoare @ SV75 @ ( if @ SV143 @ SV190 @ SV275 ) @ SV227 @ SV258 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[999]) ).
thf(1087,plain,
! [SV191: set_Pr1148378109ar_int,SV76: com,SV144: list_char > int,SV228: list_char > int] :
( ( ( SV228 = SV144 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1000]) ).
thf(1088,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= ( ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[1001]) ).
thf(1089,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $true )
| ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1003]) ).
thf(1090,plain,
! [SV80: nat,SV1: nat] :
( ( ( SV1 = SV80 )
= $true )
| ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1004]) ).
thf(1091,plain,
! [SV80: nat,SV1: nat] :
( ( ( ( suc @ SV1 )
= ( suc @ SV80 ) )
= $true )
| ( ( SV1 = SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1005]) ).
thf(1092,plain,
! [SV80: nat,SV1: nat] :
( ( ( SV1 = SV80 )
= $true )
| ( ( SV1 = SV80 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1006]) ).
thf(1093,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $true )
| ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1007]) ).
thf(1094,plain,
! [SV81: nat,SV2: nat] :
( ( ( SV2 = SV81 )
= $true )
| ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1008]) ).
thf(1095,plain,
! [SV81: nat,SV2: nat] :
( ( ( ( suc @ SV2 )
= ( suc @ SV81 ) )
= $true )
| ( ( SV2 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1009]) ).
thf(1096,plain,
! [SV81: nat,SV2: nat] :
( ( ( SV2 = SV81 )
= $true )
| ( ( SV2 = SV81 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1010]) ).
thf(1097,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1011]) ).
thf(1098,plain,
! [SV82: com,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1011]) ).
thf(1099,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1012]) ).
thf(1100,plain,
! [SV3: com,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1012]) ).
thf(1101,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1013]) ).
thf(1102,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1013]) ).
thf(1103,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1104,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1014]) ).
thf(1105,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ! [SV290: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SV290 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SV290 ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1015]) ).
thf(1106,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1015]) ).
thf(1107,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1108,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 != SV84 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1016]) ).
thf(1109,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1017]) ).
thf(1110,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1018]) ).
thf(1111,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1019]) ).
thf(1112,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1020]) ).
thf(1113,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
| ( SV7 != SV86 ) )
= $false )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1021]) ).
thf(1114,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 ) )
= $false )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1115,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 != SV86 )
= $false )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1022]) ).
thf(1116,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1117,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1023]) ).
thf(1118,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1024]) ).
thf(1119,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1026]) ).
thf(1120,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1027]) ).
thf(1121,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ( SV14 @ SV233 @ SV281 ) ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1028]) ).
thf(1122,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1031]) ).
thf(1123,plain,
! [SV155: com,SV235: list_char > int,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 ) )
= $false )
| ( ( ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1032]) ).
thf(1124,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1033]) ).
thf(1125,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1034]) ).
thf(1126,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
!= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV97 != zero_zero_nat )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1035]) ).
thf(1127,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $true )
| ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1036]) ).
thf(1128,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1129,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1037]) ).
thf(1130,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1038]) ).
thf(1131,plain,
! [SV200: list_char > int,SV157: list_char > int,SV23: bexp,SV236: com,SV99: com] :
( ( ( ! [SY1220: list_char > int,SY1221: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ SY1220 ) @ SY1221 )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ SY1220 ) @ SY1221 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1039]) ).
thf(1132,plain,
! [SV237: list_char > int,SV26: bexp,SV201: list_char > int,SV101: list_char > int,SV158: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 ) )
= $true )
| ( ( bval @ SV26 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1040]) ).
thf(1133,plain,
! [SV103: nat,SV28: nat > $o] :
( ( ( SV28 @ ( sK19_SY465 @ SV103 @ SV28 ) )
= $true )
| ( ( SV28 @ SV103 )
= $true )
| ( ( SV28 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1042]) ).
thf(1134,plain,
! [SV105: list_char > int,SV30: com,SV161: list_char > int,SV204: list_char > int] :
( ( ( ! [SV291: list_char] :
( ( SV204 @ SV291 )
= ( SV161 @ SV291 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1044]) ).
thf(1135,plain,
! [SV105: list_char > int,SV30: com,SV161: list_char > int,SV204: list_char > int] :
( ( ( SV204 = SV161 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1044]) ).
thf(1136,plain,
! [SV106: list_char > int,SV31: com,SV240: list_char > int,SV162: list_char > int,SV205: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV205 @ SV162 ) @ SV240 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV31 @ SV205 ) @ SV106 ) @ SV240 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV31 @ SV106 ) @ SV162 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1045]) ).
thf(1137,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1138,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1046]) ).
thf(1139,plain,
! [SV108: com,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ! [SY1407: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SY1407 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SY1407 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1047]) ).
thf(1140,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $true )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1048]) ).
thf(1141,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $true )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1049]) ).
thf(1142,plain,
! [SV35: nat,SV285: typerep,SV109: list_typerep] :
( ( ( ~ ! [SY1389: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SV285 @ SY1389 ) )
| ( ( size_s416147576yperep @ SY1389 )
!= SV35 ) ) )
= $false )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1050]) ).
thf(1143,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1051]) ).
thf(1144,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1052]) ).
thf(1145,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
!= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV110 != zero_zero_nat )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1053]) ).
thf(1146,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $true )
| ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1054]) ).
thf(1147,plain,
! [SV241: com,SV37: bexp,SV206: list_char > int,SV111: list_char > int,SV165: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV165 @ SV111 ) @ SV206 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV37 @ SV165 @ SV241 ) @ SV111 ) @ SV206 )
= $true )
| ( ( bval @ SV37 @ SV111 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1055]) ).
thf(1148,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1056]) ).
thf(1149,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ( SV39 != SV166 )
| ( SV113 != SV207 ) )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1057]) ).
thf(1150,plain,
! [SV119: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV45: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV45 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1060]) ).
thf(1151,plain,
! [SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1368: list_char > int] :
~ ~ ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SY1368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SY1368 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1061]) ).
thf(1152,plain,
! [SV211: com,SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1320: list_char > int,SY1321: list_char > int] :
~ ( ~ ( SV269 @ SY1320 @ SY1321 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1320 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1321 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) )
| ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1326: list_char > int,SY1327: list_char > int] :
~ ( ~ ( SV269 @ SY1326 @ SY1327 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1326 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1327 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1062]) ).
thf(1153,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV214: list_char > int] :
( ( ( SV214 != SV175 )
= $false )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1154,plain,
! [SV214: list_char > int,SV123: com,SV175: list_char > int,SV50: bexp] :
( ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1064]) ).
thf(1155,plain,
! [SV215: list_char > int,SV124: list_char > int,SV176: com,SV51: com] :
( ( ( SV51 = SV176 )
= $true )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1065]) ).
thf(1156,plain,
! [SV176: com,SV51: com,SV215: list_char > int,SV124: list_char > int] :
( ( ( SV124 = SV215 )
= $true )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1066]) ).
thf(1157,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
| ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1067]) ).
thf(1158,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= ( ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1067]) ).
thf(1159,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1068]) ).
thf(1160,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ( SV54 != SV178 )
| ( SV126 != SV217 ) )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1069]) ).
thf(1161,plain,
! [SV127: nat,SV55: nat > $o] :
( ( ( SV55 @ ( sK22_SY582 @ SV127 @ SV55 ) )
= $true )
| ( ( SV55 @ SV127 )
= $true )
| ( ( SV55 @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1070]) ).
thf(1162,plain,
! [SV129: produc1260470173ar_int > com,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int] :
( ( ( SV219
!= ( SV251 @ SV180 ) )
= $true )
| ( ( ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1072]) ).
thf(1163,plain,
! [SV287: list_char > int,SV283: list_char > int,SV273: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1073]) ).
thf(1164,plain,
! [SV253: list_char > int,SV221: list_char > int,SV182: list_char > int,SV131: list_char > int,SV60: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1074]) ).
thf(1165,plain,
! [SV133: com,SV223: list_char > int,SV184: list_char > int,SV64: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ ( sK29_SY1196 @ SV223 @ SV133 @ SV184 @ SV64 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1166,plain,
! [SV64: com,SV184: list_char > int,SV223: list_char > int,SV133: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV133 @ ( sK29_SY1196 @ SV223 @ SV133 @ SV184 @ SV64 ) ) @ SV223 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1076]) ).
thf(1167,plain,
! [SV134: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV65: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV65 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1077]) ).
thf(1168,plain,
! [SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1385: list_char > int] :
~ ~ ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SY1385 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SY1385 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1078]) ).
thf(1169,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $true )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1079]) ).
thf(1170,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $true )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1080]) ).
thf(1171,plain,
! [SV137: nat,SV288: typerep,SV69: list_typerep] :
( ( ( ~ ! [SY1405: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SV288 @ SY1405 ) )
| ( ( size_s416147576yperep @ SY1405 )
!= SV137 ) ) )
= $false )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1081]) ).
thf(1172,plain,
! [SV256: com,SV70: bexp,SV225: list_char > int,SV138: list_char > int,SV187: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SV256 @ SV187 ) @ SV138 ) @ SV225 )
= $true )
| ( ( bval @ SV70 @ SV138 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1082]) ).
thf(1173,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) )
| ( SV73 @ SV141 @ SV189 ) )
= $true )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1083]) ).
thf(1174,plain,
! [SV142: nat,SV74: nat > $o] :
( ( ( SV74 @ ( suc @ ( sK24_SY672 @ SV142 @ SV74 ) ) )
= $true )
| ( ( SV74 @ zero_zero_nat )
= $true )
| ( ( SV74 @ SV142 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1084]) ).
thf(1175,plain,
! [SV191: set_Pr1148378109ar_int,SV76: com,SV144: list_char > int,SV228: list_char > int] :
( ( ( ! [SV293: list_char] :
( ( SV228 @ SV293 )
= ( SV144 @ SV293 ) ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1087]) ).
thf(1176,plain,
! [SV191: set_Pr1148378109ar_int,SV76: com,SV144: list_char > int,SV228: list_char > int] :
( ( ( SV228 = SV144 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1087]) ).
thf(1177,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ~ ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
| ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1088]) ).
thf(1178,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= ( ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[1088]) ).
thf(1179,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1180,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1097]) ).
thf(1181,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1098]) ).
thf(1182,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1183,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1099]) ).
thf(1184,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1100]) ).
thf(1185,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1101]) ).
thf(1186,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1102]) ).
thf(1187,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1103]) ).
thf(1188,plain,
! [SV147: list_char > int,SV83: list_char > int,SV4: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV4 @ SV83 ) @ SV147 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1104]) ).
thf(1189,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1105]) ).
thf(1190,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1106]) ).
thf(1191,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1107]) ).
thf(1192,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1108]) ).
thf(1193,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV294: com] :
( ( ^ [SY1408: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV294 @ SY1408 ) @ SV5 ) )
= ( ^ [SY1409: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV294 @ SY1409 ) @ SV84 ) ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1194,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1109]) ).
thf(1195,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ! [SV295: list_char] :
( ( SV7 @ SV295 )
= ( SV86 @ SV295 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1112]) ).
thf(1196,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1112]) ).
thf(1197,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 ) )
= $false )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1198,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 != SV86 )
= $false )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1113]) ).
thf(1199,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $true )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1114]) ).
thf(1200,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $true )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1115]) ).
thf(1201,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1116]) ).
thf(1202,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1117]) ).
thf(1203,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1118]) ).
thf(1204,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1205,plain,
! [SV13: bexp,SV196: list_char > int,SV150: list_char > int,SV91: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1119]) ).
thf(1206,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1207,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1120]) ).
thf(1208,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ( SV14 @ SV233 @ SV281 ) )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1121]) ).
thf(1209,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1122]) ).
thf(1210,plain,
! [SV96: com,SV235: list_char > int,SV155: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ( bval @ SV18 @ SV199 ) )
= $false )
| ( ( ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1211,plain,
! [SV155: com,SV18: bexp,SV235: list_char > int,SV199: list_char > int,SV96: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 ) )
= $false )
| ( ( ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1123]) ).
thf(1212,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1125]) ).
thf(1213,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 != zero_zero_nat )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1126]) ).
thf(1214,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1127]) ).
thf(1215,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $true )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1128]) ).
thf(1216,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $true )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1129]) ).
thf(1217,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1130]) ).
thf(1218,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ! [SY1410: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ SY1410 )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ SY1410 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1131]) ).
thf(1219,plain,
! [SV101: list_char > int,SV237: list_char > int,SV201: list_char > int,SV158: com,SV26: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
= $false )
| ( ( bval @ SV26 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1132]) ).
thf(1220,plain,
! [SV105: list_char > int,SV30: com,SV161: list_char > int,SV296: list_char,SV204: list_char > int] :
( ( ( ( SV204 @ SV296 )
= ( SV161 @ SV296 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV204 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV30 @ SV105 ) @ SV161 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1134]) ).
thf(1221,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $true )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1137]) ).
thf(1222,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $true )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1138]) ).
thf(1223,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1139]) ).
thf(1224,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1141]) ).
thf(1225,plain,
! [SV35: nat,SV285: typerep,SV109: list_typerep] :
( ( ( ! [SY1389: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SV285 @ SY1389 ) )
| ( ( size_s416147576yperep @ SY1389 )
!= SV35 ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1142]) ).
thf(1226,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1144]) ).
thf(1227,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 != zero_zero_nat )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1145]) ).
thf(1228,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1146]) ).
thf(1229,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1230,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1148]) ).
thf(1231,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 != SV166 )
= $true )
| ( ( SV113 != SV207 )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1149]) ).
thf(1232,plain,
! [SV298: list_char > int,SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SV298 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SV298 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1151]) ).
thf(1233,plain,
! [SV211: com,SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1320: list_char > int,SY1321: list_char > int] :
~ ( ~ ( SV269 @ SY1320 @ SY1321 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1320 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1321 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1234,plain,
! [SV172: com,SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV211: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1326: list_char > int,SY1327: list_char > int] :
~ ( ~ ( SV269 @ SY1326 @ SY1327 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1326 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1327 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1152]) ).
thf(1235,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV214: list_char > int] :
( ( ( SV214 = SV175 )
= $true )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1153]) ).
thf(1236,plain,
! [SV214: list_char > int,SV123: com,SV175: list_char > int,SV50: bexp] :
( ( ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) )
= $false )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1154]) ).
thf(1237,plain,
! [SV176: com,SV51: com,SV215: list_char > int,SV124: list_char > int] :
( ( ( ! [SV299: list_char] :
( ( SV124 @ SV299 )
= ( SV215 @ SV299 ) ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1156]) ).
thf(1238,plain,
! [SV176: com,SV51: com,SV215: list_char > int,SV124: list_char > int] :
( ( ( SV124 = SV215 )
= $true )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1156]) ).
thf(1239,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1157]) ).
thf(1240,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1241,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1159]) ).
thf(1242,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 != SV178 )
= $true )
| ( ( SV126 != SV217 )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1160]) ).
thf(1243,plain,
! [SV129: produc1260470173ar_int > com,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int] :
( ( ( SV219
= ( SV251 @ SV180 ) )
= $false )
| ( ( ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1162]) ).
thf(1244,plain,
! [SV287: list_char > int,SV283: list_char > int,SV273: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1174: nat,SY1175: list_char > int,SY1176: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ SY1174 ) ) @ SY1175 @ SY1176 )
| ~ ! [SY1177: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1174 ) @ SY1177 @ SY1176 )
| ~ ( bval @ SV181 @ SY1177 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1177 ) @ SY1175 ) ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1163]) ).
thf(1245,plain,
! [SV131: list_char > int,SV253: list_char > int,SV221: list_char > int,SV60: list_char > int,SV182: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1164]) ).
thf(1246,plain,
! [SV133: com,SV223: list_char > int,SV184: list_char > int,SV64: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV64 @ SV184 ) @ ( sK29_SY1196 @ SV223 @ SV133 @ SV184 @ SV64 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1165]) ).
thf(1247,plain,
! [SV64: com,SV184: list_char > int,SV223: list_char > int,SV133: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV133 @ ( sK29_SY1196 @ SV223 @ SV133 @ SV184 @ SV64 ) ) @ SV223 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV64 @ SV133 ) @ SV184 ) @ SV223 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1166]) ).
thf(1248,plain,
! [SV300: list_char > int,SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SV300 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SV300 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1168]) ).
thf(1249,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1170]) ).
thf(1250,plain,
! [SV137: nat,SV288: typerep,SV69: list_typerep] :
( ( ( ! [SY1405: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SV288 @ SY1405 ) )
| ( ( size_s416147576yperep @ SY1405 )
!= SV137 ) ) )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1171]) ).
thf(1251,plain,
! [SV256: com,SV70: bexp,SV225: list_char > int,SV138: list_char > int,SV187: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV187 @ SV138 ) @ SV225 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV70 @ SV256 @ SV187 ) @ SV138 ) @ SV225 )
= $true )
| ( ( bval @ SV70 @ SV138 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1172]) ).
thf(1252,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ( ~ ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) ) )
= $true )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1173]) ).
thf(1253,plain,
! [SV144: list_char > int,SV76: com,SV191: set_Pr1148378109ar_int,SV228: list_char > int] :
( ( ( ( SV228 @ ( sK33_SV293 @ SV191 @ SV76 @ SV144 @ SV228 ) )
= ( SV144 @ ( sK33_SV293 @ SV191 @ SV76 @ SV144 @ SV228 ) ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV228 ) @ SV191 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV76 @ SV144 ) @ SV191 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1175]) ).
thf(1254,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1177]) ).
thf(1255,plain,
! [SV82: com,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1179]) ).
thf(1256,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1180]) ).
thf(1257,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1258,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1181]) ).
thf(1259,plain,
! [SV3: com,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1182]) ).
thf(1260,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1183]) ).
thf(1261,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1262,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1184]) ).
thf(1263,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1189]) ).
thf(1264,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1189]) ).
thf(1265,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1266,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 != SV84 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1190]) ).
thf(1267,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV301: com] :
( ( ^ [SY1411: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV301 @ SY1411 ) @ SV5 ) )
= ( ^ [SY1412: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV301 @ SY1412 ) @ SV84 ) ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1191]) ).
thf(1268,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1191]) ).
thf(1269,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV302: com] :
( ( ( ( ^ [SY1413: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SY1413 ) @ SV5 ) )
= ( ^ [SY1414: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SY1414 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1193]) ).
thf(1270,plain,
! [SV86: list_char > int,SV303: list_char,SV7: list_char > int] :
( ( ( ( SV7 @ SV303 )
= ( SV86 @ SV303 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1195]) ).
thf(1271,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ skip @ SV7 ) @ SV86 )
= $true )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1197]) ).
thf(1272,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $true )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1198]) ).
thf(1273,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ! [SV304: list_char] :
( ( SV7 @ SV304 )
= ( SV86 @ SV304 ) ) )
= $true )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1274,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $true )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1200]) ).
thf(1275,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1276,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1201]) ).
thf(1277,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1278,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1202]) ).
thf(1279,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1280,plain,
! [SV280: list_char > int,SV261: list_char > int,SV195: com,SV232: com,SV149: com,SV12: bexp,SV90: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1203]) ).
thf(1281,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1204]) ).
thf(1282,plain,
! [SV13: bexp,SV196: list_char > int,SV150: list_char > int,SV91: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1205]) ).
thf(1283,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com,SV13: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV13 @ SV91 @ SV91 ) @ SV150 ) @ SV196 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1206]) ).
thf(1284,plain,
! [SV196: list_char > int,SV150: list_char > int,SV91: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV91 @ SV150 ) @ SV196 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1207]) ).
thf(1285,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1286,plain,
! [SV151: com,SV92: bexp,SV281: list_char > int,SV233: list_char > int,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV14 @ SV233 @ SV281 )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1208]) ).
thf(1287,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1209]) ).
thf(1288,plain,
! [SV96: com,SV235: list_char > int,SV155: com,SV199: list_char > int,SV18: bexp] :
( ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1210]) ).
thf(1289,plain,
! [SV155: com,SV18: bexp,SV235: list_char > int,SV199: list_char > int,SV96: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( ~ ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1211]) ).
thf(1290,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1212]) ).
thf(1291,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 = zero_zero_nat )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1213]) ).
thf(1292,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( ~ ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1214]) ).
thf(1293,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1215]) ).
thf(1294,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $true )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1216]) ).
thf(1295,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ! [SY1415: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ SY1415 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ SY1415 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1217]) ).
thf(1296,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1218]) ).
thf(1297,plain,
! [SV101: list_char > int,SV237: list_char > int,SV201: list_char > int,SV158: com,SV26: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV201 ) @ SV237 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV26 @ SV158 ) @ SV101 ) @ SV237 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV158 @ SV101 ) @ SV201 )
= $false )
| ( ( bval @ SV26 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1219]) ).
thf(1298,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1221]) ).
thf(1299,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $true )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1222]) ).
thf(1300,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1223]) ).
thf(1301,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1223]) ).
thf(1302,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ~ ! [SY1416: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ SY1416 ) )
| ( ( size_s416147576yperep @ SY1416 )
!= SV35 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1224]) ).
thf(1303,plain,
! [SV35: nat,SV305: list_typerep,SV285: typerep,SV109: list_typerep] :
( ( ( ~ ~ ( ( SV109
!= ( cons_typerep @ SV285 @ SV305 ) )
| ( ( size_s416147576yperep @ SV305 )
!= SV35 ) ) )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1225]) ).
thf(1304,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1226]) ).
thf(1305,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 = zero_zero_nat )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1227]) ).
thf(1306,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( ~ ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1228]) ).
thf(1307,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1229]) ).
thf(1308,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1230]) ).
thf(1309,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 = SV166 )
= $false )
| ( ( SV113 != SV207 )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1231]) ).
thf(1310,plain,
! [SV298: list_char > int,SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SV298 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SV298 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) ) )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1232]) ).
thf(1311,plain,
! [SV211: com,SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV172: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid
@ ^ [SY801: list_char > int,SY802: list_char > int] :
~ ( ~ ( SV46 @ SY801 @ SY802 )
| ~ ( bval @ SV120 @ SY801 ) )
@ SV172
@ SV246
@ ^ [SY1320: list_char > int,SY1321: list_char > int] :
~ ( ~ ( SV269 @ SY1320 @ SY1321 )
| ~ ~ ! [SY1247: list_char > int] :
~ ~ ! [SY1248: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1247 @ SY1248 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV172 @ SY1247 ) @ SY1320 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1248 ) @ SY1321 ) )
| ~ ( bval @ SV120 @ SY1247 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1233]) ).
thf(1312,plain,
! [SV172: com,SV269: ( list_char > int ) > ( list_char > int ) > $o,SV246: com,SV211: com,SV120: bexp,SV46: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid
@ ^ [SY807: list_char > int,SY808: list_char > int] :
~ ( ~ ( SV46 @ SY807 @ SY808 )
| ~ ~ ( bval @ SV120 @ SY807 ) )
@ SV211
@ SV246
@ ^ [SY1326: list_char > int,SY1327: list_char > int] :
~ ( ~ ( SV269 @ SY1326 @ SY1327 )
| ~ ~ ! [SY1253: list_char > int] :
~ ~ ! [SY1254: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( SV46 @ SY1253 @ SY1254 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV211 @ SY1253 ) @ SY1326 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV246 @ SY1254 ) @ SY1327 ) )
| ~ ~ ( bval @ SV120 @ SY1253 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV46 @ ( if @ SV120 @ SV172 @ SV211 ) @ SV246 @ SV269 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1234]) ).
thf(1313,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV214: list_char > int] :
( ( ( ! [SV306: list_char] :
( ( SV214 @ SV306 )
= ( SV175 @ SV306 ) ) )
= $true )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1235]) ).
thf(1314,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV214: list_char > int] :
( ( ( SV214 = SV175 )
= $true )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1235]) ).
thf(1315,plain,
! [SV214: list_char > int,SV123: com,SV175: list_char > int,SV50: bexp] :
( ( ( ~ ( bval @ SV50 @ SV175 ) )
= $false )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1316,plain,
! [SV214: list_char > int,SV50: bexp,SV175: list_char > int,SV123: com] :
( ( ( ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) )
= $false )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1236]) ).
thf(1317,plain,
! [SV176: com,SV51: com,SV215: list_char > int,SV307: list_char,SV124: list_char > int] :
( ( ( ( SV124 @ SV307 )
= ( SV215 @ SV307 ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV51 @ SV124 )
= ( produc1193801173ar_int @ SV176 @ SV215 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1237]) ).
thf(1318,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1239]) ).
thf(1319,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1240]) ).
thf(1320,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1241]) ).
thf(1321,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 = SV178 )
= $false )
| ( ( SV126 != SV217 )
= $true )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1242]) ).
thf(1322,plain,
! [SV129: produc1260470173ar_int > com,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int] :
( ( ( ! [SV308: list_char] :
( ( SV219 @ SV308 )
= ( SV251 @ SV180 @ SV308 ) ) )
= $false )
| ( ( ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1243]) ).
thf(1323,plain,
! [SV129: produc1260470173ar_int > com,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int,SV251: produc1260470173ar_int > list_char > int,SV219: list_char > int] :
( ( ( SV219
= ( SV251 @ SV180 ) )
= $false )
| ( ( ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1243]) ).
thf(1324,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1417: list_char > int,SY1418: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ SY1417 @ SY1418 )
| ~ ! [SY1419: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SY1419 @ SY1418 )
| ~ ( bval @ SV181 @ SY1419 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1419 ) @ SY1417 ) ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1244]) ).
thf(1325,plain,
! [SV131: list_char > int,SV253: list_char > int,SV221: list_char > int,SV60: list_char > int,SV182: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
| ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1245]) ).
thf(1326,plain,
! [SV300: list_char > int,SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SV300 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SV300 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1248]) ).
thf(1327,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ~ ! [SY1420: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ SY1420 ) )
| ( ( size_s416147576yperep @ SY1420 )
!= SV137 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1249]) ).
thf(1328,plain,
! [SV137: nat,SV309: list_typerep,SV288: typerep,SV69: list_typerep] :
( ( ( ~ ~ ( ( SV69
!= ( cons_typerep @ SV288 @ SV309 ) )
| ( ( size_s416147576yperep @ SV309 )
!= SV137 ) ) )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1250]) ).
thf(1329,plain,
! [SV189: nat,SV141: nat,SV73: nat > nat > $o] :
( ( ( ! [SY669: nat,SY670: nat] :
( ~ ( SV73 @ SY669 @ SY670 )
| ( SV73 @ ( suc @ SY669 ) @ ( suc @ SY670 ) ) ) )
= $false )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1252]) ).
thf(1330,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1254]) ).
thf(1331,plain,
! [SV82: com,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1255]) ).
thf(1332,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1256]) ).
thf(1333,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1257]) ).
thf(1334,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1258]) ).
thf(1335,plain,
! [SV3: com,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1259]) ).
thf(1336,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1260]) ).
thf(1337,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1261]) ).
thf(1338,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1262]) ).
thf(1339,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1340,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) ) )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1263]) ).
thf(1341,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1264]) ).
thf(1342,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1265]) ).
thf(1343,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1266]) ).
thf(1344,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV310: com] :
( ( ( ( ^ [SY1421: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SY1421 ) @ SV5 ) )
= ( ^ [SY1422: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SY1422 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1267]) ).
thf(1345,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV302: com] :
( ( ( ! [SV311: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV311 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV311 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1269]) ).
thf(1346,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV302: com] :
( ( ( ( ^ [SY1413: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SY1413 ) @ SV5 ) )
= ( ^ [SY1414: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SY1414 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1269]) ).
thf(1347,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( ! [SV312: list_char] :
( ( SV7 @ SV312 )
= ( SV86 @ SV312 ) ) )
= $true )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1272]) ).
thf(1348,plain,
! [SV86: list_char > int,SV7: list_char > int] :
( ( ( SV7 = SV86 )
= $true )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1272]) ).
thf(1349,plain,
! [SV86: list_char > int,SV313: list_char,SV7: list_char > int] :
( ( ( ( SV7 @ SV313 )
= ( SV86 @ SV313 ) )
= $true )
| ( ( SV7 = SV86 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1273]) ).
thf(1350,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1275]) ).
thf(1351,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1276]) ).
thf(1352,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ ( seq @ SV10 @ SV89 ) @ SV148 ) @ SV194 ) @ SV231 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1277]) ).
thf(1353,plain,
! [SV231: list_char > int,SV194: list_char > int,SV148: com,SV89: com,SV10: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( seq @ SV10 @ ( seq @ SV89 @ SV148 ) ) @ SV194 ) @ SV231 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1278]) ).
thf(1354,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1279]) ).
thf(1355,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1280]) ).
thf(1356,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) )
= $false )
| ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1285]) ).
thf(1357,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
| ~ ( SV14 @ SV233 @ SV281 ) )
= $false )
| ( ( SV14 @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1286]) ).
thf(1358,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1287]) ).
thf(1359,plain,
! [SV96: com,SV235: list_char > int,SV155: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) )
= $false )
| ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1288]) ).
thf(1360,plain,
! [SV96: com,SV235: list_char > int,SV155: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ~ ( bval @ SV18 @ SV199 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1289]) ).
thf(1361,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1362,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 != zero_zero_nat )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1290]) ).
thf(1363,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1291]) ).
thf(1364,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
| ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1292]) ).
thf(1365,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1293]) ).
thf(1366,plain,
! [SV98: com,SV156: com,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $true )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1294]) ).
thf(1367,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1295]) ).
thf(1368,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1296]) ).
thf(1369,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1296]) ).
thf(1370,plain,
! [SV108: com,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ! [SY1423: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SY1423 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SY1423 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1298]) ).
thf(1371,plain,
! [SV108: com,SV164: bexp,SV33: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $true )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1299]) ).
thf(1372,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1300]) ).
thf(1373,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ! [SY1416: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ SY1416 ) )
| ( ( size_s416147576yperep @ SY1416 )
!= SV35 ) ) )
= $true )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1302]) ).
thf(1374,plain,
! [SV35: nat,SV305: list_typerep,SV285: typerep,SV109: list_typerep] :
( ( ( ~ ( ( SV109
!= ( cons_typerep @ SV285 @ SV305 ) )
| ( ( size_s416147576yperep @ SV305 )
!= SV35 ) ) )
= $false )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1303]) ).
thf(1375,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1376,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 != zero_zero_nat )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1304]) ).
thf(1377,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1305]) ).
thf(1378,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
| ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1306]) ).
thf(1379,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ( SV39 != SV166 )
| ( SV113 != SV207 ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1308]) ).
thf(1380,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1309]) ).
thf(1381,plain,
! [SV298: list_char > int,SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SV298 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SV298 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1310]) ).
thf(1382,plain,
! [SV123: com,SV50: bexp,SV175: list_char > int,SV315: list_char,SV214: list_char > int] :
( ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( ~ ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1313]) ).
thf(1383,plain,
! [SV214: list_char > int,SV123: com,SV175: list_char > int,SV50: bexp] :
( ( ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) )
= $false )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1314]) ).
thf(1384,plain,
! [SV214: list_char > int,SV123: com,SV175: list_char > int,SV50: bexp] :
( ( ( bval @ SV50 @ SV175 )
= $true )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1315]) ).
thf(1385,plain,
! [SV50: bexp,SV214: list_char > int,SV175: list_char > int,SV123: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK40_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK40_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 ) )
= $false )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1316]) ).
thf(1386,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1387,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1318]) ).
thf(1388,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ( SV54 != SV178 )
| ( SV126 != SV217 ) )
= $false )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1320]) ).
thf(1389,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1321]) ).
thf(1390,plain,
! [SV251: produc1260470173ar_int > list_char > int,SV180: produc1260470173ar_int,SV272: set_Pr1148378109ar_int,SV58: com,SV129: produc1260470173ar_int > com,SV219: list_char > int] :
( ( ( ( SV219 @ ( sK41_SV308 @ SV129 @ SV58 @ SV272 @ SV180 @ SV251 @ SV219 ) )
= ( SV251 @ SV180 @ ( sK41_SV308 @ SV129 @ SV58 @ SV272 @ SV180 @ SV251 @ SV219 ) ) )
= $false )
| ( ( ~ ( member92250950ar_int @ SV180 @ SV272 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) ) )
= $true )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1322]) ).
thf(1391,plain,
! [SV251: produc1260470173ar_int > list_char > int,SV129: produc1260470173ar_int > com,SV219: list_char > int,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int] :
( ( ( ~ ( member92250950ar_int @ SV180 @ SV272 ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) )
= $true )
| ( ( SV219
= ( SV251 @ SV180 ) )
= $false )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1323]) ).
thf(1392,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1424: list_char > int] :
( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ SY1424 )
| ~ ! [SY1425: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SY1425 @ SY1424 )
| ~ ( bval @ SV181 @ SY1425 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1425 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1324]) ).
thf(1393,plain,
! [SV60: list_char > int,SV182: list_char > int,SV131: list_char > int,SV253: list_char > int,SV221: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 ) )
= $true )
| ( ( ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1325]) ).
thf(1394,plain,
! [SV300: list_char > int,SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SV300 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SV300 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1326]) ).
thf(1395,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ! [SY1420: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ SY1420 ) )
| ( ( size_s416147576yperep @ SY1420 )
!= SV137 ) ) )
= $true )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1327]) ).
thf(1396,plain,
! [SV137: nat,SV309: list_typerep,SV288: typerep,SV69: list_typerep] :
( ( ( ~ ( ( SV69
!= ( cons_typerep @ SV288 @ SV309 ) )
| ( ( size_s416147576yperep @ SV309 )
!= SV137 ) ) )
= $false )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1328]) ).
thf(1397,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( ! [SY1426: nat] :
( ~ ( SV73 @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) @ SY1426 )
| ( SV73 @ ( suc @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) ) @ ( suc @ SY1426 ) ) ) )
= $false )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1329]) ).
thf(1398,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1399,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1330]) ).
thf(1400,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1331]) ).
thf(1401,plain,
! [SV82: com,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1332]) ).
thf(1402,plain,
! [SV82: com,SV316: list_char > int,SV3: com] :
( ( ( ! [SY1427: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SY1427 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SY1427 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1333]) ).
thf(1403,plain,
! [SV3: com,SV317: list_char > int,SV82: com] :
( ( ( ! [SY1428: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SY1428 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SY1428 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1334]) ).
thf(1404,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1335]) ).
thf(1405,plain,
! [SV3: com,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $true )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1336]) ).
thf(1406,plain,
! [SV82: com,SV318: list_char > int,SV3: com] :
( ( ( ! [SY1429: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SY1429 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SY1429 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1337]) ).
thf(1407,plain,
! [SV3: com,SV319: list_char > int,SV82: com] :
( ( ( ! [SY1430: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SY1430 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SY1430 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1338]) ).
thf(1408,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1339]) ).
thf(1409,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1340]) ).
thf(1410,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1411,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 != SV84 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1341]) ).
thf(1412,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV320: com] :
( ( ^ [SY1431: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV320 @ SY1431 ) @ SV5 ) )
= ( ^ [SY1432: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV320 @ SY1432 ) @ SV84 ) ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1342]) ).
thf(1413,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1342]) ).
thf(1414,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV310: com] :
( ( ( ! [SV321: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV321 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV321 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1344]) ).
thf(1415,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV310: com] :
( ( ( ( ^ [SY1421: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SY1421 ) @ SV5 ) )
= ( ^ [SY1422: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SY1422 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1344]) ).
thf(1416,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1345]) ).
thf(1417,plain,
! [SV86: list_char > int,SV323: list_char,SV7: list_char > int] :
( ( ( ( SV7 @ SV323 )
= ( SV86 @ SV323 ) )
= $true )
| ( ( ( SV7 @ ( sK28_SV279 @ SV86 @ SV7 ) )
= ( SV86 @ ( sK28_SV279 @ SV86 @ SV7 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1347]) ).
thf(1418,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1419,plain,
! [SV280: list_char > int,SV261: list_char > int,SV195: com,SV232: com,SV149: com,SV12: bexp,SV90: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1354]) ).
thf(1420,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1421,plain,
! [SV280: list_char > int,SV261: list_char > int,SV195: com,SV232: com,SV149: com,SV12: bexp,SV90: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1355]) ).
thf(1422,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 ) )
= $false )
| ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1356]) ).
thf(1423,plain,
! [SV151: com,SV92: bexp,SV281: list_char > int,SV233: list_char > int,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV14 @ SV233 @ SV281 ) )
= $false )
| ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1356]) ).
thf(1424,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 ) )
= $false )
| ( ( SV14 @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1425,plain,
! [SV281: list_char > int,SV233: list_char > int,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV14 @ SV233 @ SV281 ) )
= $false )
| ( ( SV14 @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1357]) ).
thf(1426,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1358]) ).
thf(1427,plain,
! [SV235: list_char > int,SV155: com,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ~ ( bval @ SV18 @ SV199 ) )
= $false )
| ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1428,plain,
! [SV96: com,SV18: bexp,SV235: list_char > int,SV199: list_char > int,SV155: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) )
= $false )
| ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1359]) ).
thf(1429,plain,
! [SV155: com,SV235: list_char > int,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ~ ( bval @ SV18 @ SV199 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1430,plain,
! [SV18: bexp,SV96: com,SV235: list_char > int,SV199: list_char > int,SV155: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1360]) ).
thf(1431,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1361]) ).
thf(1432,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1362]) ).
thf(1433,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1434,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1363]) ).
thf(1435,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
!= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1436,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1364]) ).
thf(1437,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1365]) ).
thf(1438,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) )
| ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1366]) ).
thf(1439,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1367]) ).
thf(1440,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1367]) ).
thf(1441,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1442,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1368]) ).
thf(1443,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1370]) ).
thf(1444,plain,
! [SV33: com,SV164: bexp,SV108: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( ! [SY968: list_char > int,SY969: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SY968 ) @ SY969 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SY968 ) @ SY969 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1371]) ).
thf(1445,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1372]) ).
thf(1446,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ! [SY1416: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ SY1416 ) )
| ( ( size_s416147576yperep @ SY1416 )
!= SV35 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1373]) ).
thf(1447,plain,
! [SV35: nat,SV305: list_typerep,SV285: typerep,SV109: list_typerep] :
( ( ( ( SV109
!= ( cons_typerep @ SV285 @ SV305 ) )
| ( ( size_s416147576yperep @ SV305 )
!= SV35 ) )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1374]) ).
thf(1448,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1375]) ).
thf(1449,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1376]) ).
thf(1450,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1451,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1377]) ).
thf(1452,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1453,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) ) )
= $false )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1378]) ).
thf(1454,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 != SV166 )
= $false )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1455,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 != SV207 )
= $false )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1379]) ).
thf(1456,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( ! [SV325: list_char] :
( ( SV113 @ SV325 )
= ( SV207 @ SV325 ) ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1380]) ).
thf(1457,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1380]) ).
thf(1458,plain,
! [SV298: list_char > int,SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SV298 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SV298 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1381]) ).
thf(1459,plain,
! [SV315: list_char,SV214: list_char > int,SV123: com,SV175: list_char > int,SV50: bexp] :
( ( ( ~ ( bval @ SV50 @ SV175 )
| ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) )
= $false )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1382]) ).
thf(1460,plain,
! [SV123: com,SV214: list_char > int,SV175: list_char > int,SV50: bexp] :
( ( ( ~ ( bval @ SV50 @ SV175 ) )
= $false )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1461,plain,
! [SV214: list_char > int,SV50: bexp,SV175: list_char > int,SV123: com] :
( ( ( ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) )
= $false )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1383]) ).
thf(1462,plain,
! [SV50: bexp,SV214: list_char > int,SV175: list_char > int,SV123: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK40_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) )
= $false )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1463,plain,
! [SV175: list_char > int,SV214: list_char > int,SV123: com,SV50: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK40_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 ) )
= $false )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1385]) ).
thf(1464,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1386]) ).
thf(1465,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV216: com,SV271: com,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1433: list_char > int] :
( ~ ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ SY1433 )
| ~ ! [SY1434: list_char > int] :
~ ~ ! [SY1435: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1434 @ SY1435 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1434 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1435 ) @ SY1433 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1387]) ).
thf(1466,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 != SV178 )
= $false )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1467,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 != SV217 )
= $false )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1388]) ).
thf(1468,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( ! [SV326: list_char] :
( ( SV126 @ SV326 )
= ( SV217 @ SV326 ) ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1389]) ).
thf(1469,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1389]) ).
thf(1470,plain,
! [SV251: produc1260470173ar_int > list_char > int,SV129: produc1260470173ar_int > com,SV219: list_char > int,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int] :
( ( ( ~ ( member92250950ar_int @ SV180 @ SV272 ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) )
= $true )
| ( ( ( SV219 @ ( sK41_SV308 @ SV129 @ SV58 @ SV272 @ SV180 @ SV251 @ SV219 ) )
= ( SV251 @ SV180 @ ( sK41_SV308 @ SV129 @ SV58 @ SV272 @ SV180 @ SV251 @ SV219 ) ) )
= $false )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1390]) ).
thf(1471,plain,
! [SV251: produc1260470173ar_int > list_char > int,SV129: produc1260470173ar_int > com,SV219: list_char > int,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int] :
( ( ( member92250950ar_int @ SV180 @ SV272 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) )
= $true )
| ( ( SV219
= ( SV251 @ SV180 ) )
= $false )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1391]) ).
thf(1472,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ! [SY1436: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SY1436 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SY1436 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1436 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1392]) ).
thf(1473,plain,
! [SV60: list_char > int,SV182: list_char > int,SV131: list_char > int,SV253: list_char > int,SV221: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( ~ ( q @ SV131 @ SV253 )
| ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1393]) ).
thf(1474,plain,
! [SV300: list_char > int,SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SV300 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SV300 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1394]) ).
thf(1475,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ! [SY1420: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ SY1420 ) )
| ( ( size_s416147576yperep @ SY1420 )
!= SV137 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1395]) ).
thf(1476,plain,
! [SV137: nat,SV309: list_typerep,SV288: typerep,SV69: list_typerep] :
( ( ( ( SV69
!= ( cons_typerep @ SV288 @ SV309 ) )
| ( ( size_s416147576yperep @ SV309 )
!= SV137 ) )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1396]) ).
thf(1477,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( ~ ( SV73 @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) @ ( sK46_SY1426 @ SV141 @ SV189 @ SV73 ) )
| ( SV73 @ ( suc @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) ) @ ( suc @ ( sK46_SY1426 @ SV141 @ SV189 @ SV73 ) ) ) )
= $false )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1397]) ).
thf(1478,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1398]) ).
thf(1479,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1399]) ).
thf(1480,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1481,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1400]) ).
thf(1482,plain,
! [SV3: com,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1401]) ).
thf(1483,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1402]) ).
thf(1484,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1403]) ).
thf(1485,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1486,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1404]) ).
thf(1487,plain,
! [SV82: com,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( ~ ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1405]) ).
thf(1488,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1406]) ).
thf(1489,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1407]) ).
thf(1490,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1408]) ).
thf(1491,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 ) )
= $true )
| ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1409]) ).
thf(1492,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1410]) ).
thf(1493,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1411]) ).
thf(1494,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV331: com] :
( ( ( ( ^ [SY1437: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SY1437 ) @ SV5 ) )
= ( ^ [SY1438: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SY1438 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1412]) ).
thf(1495,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1414]) ).
thf(1496,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1416]) ).
thf(1497,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1416]) ).
thf(1498,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1418]) ).
thf(1499,plain,
! [SV280: list_char > int,SV261: list_char > int,SV195: com,SV232: com,SV149: com,SV12: bexp,SV90: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1419]) ).
thf(1500,plain,
! [SV280: list_char > int,SV261: list_char > int,SV232: com,SV195: com,SV149: com,SV90: bexp,SV12: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV12 @ ( if @ SV90 @ SV149 @ SV195 ) @ SV232 ) @ SV261 ) @ SV280 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1420]) ).
thf(1501,plain,
! [SV280: list_char > int,SV261: list_char > int,SV195: com,SV232: com,SV149: com,SV12: bexp,SV90: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV90 @ ( if @ SV12 @ SV149 @ SV232 ) @ ( if @ SV12 @ SV195 @ SV232 ) ) @ SV261 ) @ SV280 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1421]) ).
thf(1502,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $true )
| ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1422]) ).
thf(1503,plain,
! [SV151: com,SV92: bexp,SV281: list_char > int,SV233: list_char > int,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV14 @ SV233 @ SV281 )
= $true )
| ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1423]) ).
thf(1504,plain,
! [SV281: list_char > int,SV233: list_char > int,SV151: com,SV92: bexp,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV14 @ SV92 @ SV151 @ zero_zero_nat @ SV233 @ SV281 )
= $true )
| ( ( SV14 @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1424]) ).
thf(1505,plain,
! [SV281: list_char > int,SV233: list_char > int,SV14: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV14 @ SV233 @ SV281 )
= $true )
| ( ( SV14 @ SV233 @ SV281 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1425]) ).
thf(1506,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
| ~ ( bval @ b @ SV154 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1426]) ).
thf(1507,plain,
! [SV235: list_char > int,SV155: com,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ( bval @ SV18 @ SV199 ) )
= $true )
| ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1427]) ).
thf(1508,plain,
! [SV96: com,SV18: bexp,SV235: list_char > int,SV199: list_char > int,SV155: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 )
= $true )
| ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1428]) ).
thf(1509,plain,
! [SV155: com,SV235: list_char > int,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( ~ ( bval @ SV18 @ SV199 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1429]) ).
thf(1510,plain,
! [SV18: bexp,SV96: com,SV235: list_char > int,SV199: list_char > int,SV155: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV155 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1430]) ).
thf(1511,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1431]) ).
thf(1512,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1432]) ).
thf(1513,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1433]) ).
thf(1514,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1434]) ).
thf(1515,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1435]) ).
thf(1516,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
| ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1436]) ).
thf(1517,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ! [SY1439: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ SY1439 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ SY1439 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1437]) ).
thf(1518,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( ~ ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1438]) ).
thf(1519,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1520,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1439]) ).
thf(1521,plain,
! [SV98: com,SV156: com,SV333: list_char > int,SV22: com] :
( ( ( ! [SY1440: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SY1440 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SY1440 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1440]) ).
thf(1522,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1441]) ).
thf(1523,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1442]) ).
thf(1524,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1443]) ).
thf(1525,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1443]) ).
thf(1526,plain,
! [SV108: com,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ! [SY1441: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SY1441 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SY1441 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1444]) ).
thf(1527,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1528,plain,
! [SV33: com,SV297: list_char > int,SV292: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1445]) ).
thf(1529,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ~ ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ ( sK48_SY1416 @ SV35 @ SV109 ) ) )
| ( ( size_s416147576yperep @ ( sK48_SY1416 @ SV35 @ SV109 ) )
!= SV35 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1446]) ).
thf(1530,plain,
! [SV35: nat,SV305: list_typerep,SV285: typerep,SV109: list_typerep] :
( ( ( SV109
!= ( cons_typerep @ SV285 @ SV305 ) )
= $true )
| ( ( ( size_s416147576yperep @ SV305 )
!= SV35 )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1447]) ).
thf(1531,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1448]) ).
thf(1532,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1449]) ).
thf(1533,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1450]) ).
thf(1534,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1451]) ).
thf(1535,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1452]) ).
thf(1536,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
| ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1453]) ).
thf(1537,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 = SV166 )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1454]) ).
thf(1538,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1455]) ).
thf(1539,plain,
! [SV207: list_char > int,SV39: com,SV166: com,SV113: list_char > int] :
( ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1456]) ).
thf(1540,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1457]) ).
thf(1541,plain,
! [SV298: list_char > int,SV45: ( list_char > int ) > ( list_char > int ) > $o,SV171: com,SV119: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SV298 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SV298 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) ) )
= $true )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1458]) ).
thf(1542,plain,
! [SV123: com,SV315: list_char,SV214: list_char > int,SV175: list_char > int,SV50: bexp] :
( ( ( ~ ( bval @ SV50 @ SV175 ) )
= $false )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1543,plain,
! [SV315: list_char,SV214: list_char > int,SV50: bexp,SV175: list_char > int,SV123: com] :
( ( ( ! [SY1158: list_char > int] :
( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ SY1158 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SY1158 ) @ SV214 ) ) )
= $false )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1459]) ).
thf(1544,plain,
! [SV123: com,SV214: list_char > int,SV175: list_char > int,SV50: bexp] :
( ( ( bval @ SV50 @ SV175 )
= $true )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1460]) ).
thf(1545,plain,
! [SV50: bexp,SV214: list_char > int,SV175: list_char > int,SV123: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK50_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK50_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 ) )
= $false )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1461]) ).
thf(1546,plain,
! [SV50: bexp,SV214: list_char > int,SV175: list_char > int,SV123: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK40_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) )
= $true )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1462]) ).
thf(1547,plain,
! [SV175: list_char > int,SV214: list_char > int,SV123: com,SV50: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK40_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 )
= $true )
| ( ( bval @ SV50 @ SV175 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1463]) ).
thf(1548,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1464]) ).
thf(1549,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1464]) ).
thf(1550,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV216: com,SV271: com,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
| ~ ! [SY1442: list_char > int] :
~ ~ ! [SY1443: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1442 @ SY1443 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1442 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1443 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1465]) ).
thf(1551,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 = SV178 )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1466]) ).
thf(1552,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1467]) ).
thf(1553,plain,
! [SV217: list_char > int,SV54: com,SV178: com,SV126: list_char > int] :
( ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ~ ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1468]) ).
thf(1554,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1469]) ).
thf(1555,plain,
! [SV251: produc1260470173ar_int > list_char > int,SV129: produc1260470173ar_int > com,SV219: list_char > int,SV58: com,SV272: set_Pr1148378109ar_int,SV180: produc1260470173ar_int] :
( ( ( member92250950ar_int @ SV180 @ SV272 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV58 @ SV219 ) @ ( bNF_Gr202451329ar_int @ SV272 @ SV129 @ SV251 ) )
= $true )
| ( ( ( SV219 @ ( sK41_SV308 @ SV129 @ SV58 @ SV272 @ SV180 @ SV251 @ SV219 ) )
= ( SV251 @ SV180 @ ( sK41_SV308 @ SV129 @ SV58 @ SV272 @ SV180 @ SV251 @ SV219 ) ) )
= $false )
| ( ( SV58
= ( SV129 @ SV180 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1470]) ).
thf(1556,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1557,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1436: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SY1436 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SY1436 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1436 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1472]) ).
thf(1558,plain,
! [SV60: list_char > int,SV221: list_char > int,SV182: list_char > int,SV253: list_char > int,SV131: list_char > int] :
( ( ( ~ ( q @ SV131 @ SV253 ) )
= $true )
| ( ( ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1473]) ).
thf(1559,plain,
! [SV300: list_char > int,SV65: ( list_char > int ) > ( list_char > int ) > $o,SV185: com,SV134: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SV300 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SV300 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) ) )
= $true )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1474]) ).
thf(1560,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ~ ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ ( sK53_SY1420 @ SV137 @ SV69 ) ) )
| ( ( size_s416147576yperep @ ( sK53_SY1420 @ SV137 @ SV69 ) )
!= SV137 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1475]) ).
thf(1561,plain,
! [SV137: nat,SV309: list_typerep,SV288: typerep,SV69: list_typerep] :
( ( ( SV69
!= ( cons_typerep @ SV288 @ SV309 ) )
= $true )
| ( ( ( size_s416147576yperep @ SV309 )
!= SV137 )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1476]) ).
thf(1562,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( ~ ( SV73 @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) @ ( sK46_SY1426 @ SV141 @ SV189 @ SV73 ) ) )
= $false )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1563,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( SV73 @ ( suc @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) ) @ ( suc @ ( sK46_SY1426 @ SV141 @ SV189 @ SV73 ) ) )
= $false )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1477]) ).
thf(1564,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1565,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1478]) ).
thf(1566,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
| ~ ( bval @ SV146 @ SV335 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1479]) ).
thf(1567,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1480]) ).
thf(1568,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1481]) ).
thf(1569,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1482]) ).
thf(1570,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1483]) ).
thf(1571,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1483]) ).
thf(1572,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1484]) ).
thf(1573,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1484]) ).
thf(1574,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1485]) ).
thf(1575,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1486]) ).
thf(1576,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) )
| ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1487]) ).
thf(1577,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1578,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1488]) ).
thf(1579,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1489]) ).
thf(1580,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1489]) ).
thf(1581,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1490]) ).
thf(1582,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $true )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1491]) ).
thf(1583,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV336: com] :
( ( ^ [SY1444: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV336 @ SY1444 ) @ SV5 ) )
= ( ^ [SY1445: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV336 @ SY1445 ) @ SV84 ) ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1492]) ).
thf(1584,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1492]) ).
thf(1585,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV331: com] :
( ( ( ! [SV337: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV337 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV337 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1494]) ).
thf(1586,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV331: com] :
( ( ( ( ^ [SY1437: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SY1437 ) @ SV5 ) )
= ( ^ [SY1438: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SY1438 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1494]) ).
thf(1587,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1588,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1495]) ).
thf(1589,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1496]) ).
thf(1590,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 ) )
= $true )
| ( ( ~ ( bval @ b @ SV154 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1506]) ).
thf(1591,plain,
! [SV235: list_char > int,SV155: com,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( bval @ SV18 @ SV199 )
= $false )
| ( ( bval @ SV18 @ SV199 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1507]) ).
thf(1592,plain,
! [SV155: com,SV235: list_char > int,SV96: com,SV199: list_char > int,SV18: bexp] :
( ( ( bval @ SV18 @ SV199 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV96 @ SV199 ) @ SV235 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( if @ SV18 @ SV96 @ SV155 ) @ SV199 ) @ SV235 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1509]) ).
thf(1593,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1594,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1511]) ).
thf(1595,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1596,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1512]) ).
thf(1597,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1514]) ).
thf(1598,plain,
! [SV97: nat,SV19: nat] :
( ( ( ~ ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1516]) ).
thf(1599,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1517]) ).
thf(1600,plain,
! [SV22: com,SV156: com,SV98: com] :
( ( ( ! [SY944: list_char > int,SY945: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ SY944 ) @ SY945 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY944 ) @ SY945 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1518]) ).
thf(1601,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1519]) ).
thf(1602,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1520]) ).
thf(1603,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1521]) ).
thf(1604,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1522]) ).
thf(1605,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1523]) ).
thf(1606,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1524]) ).
thf(1607,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1526]) ).
thf(1608,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1527]) ).
thf(1609,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1528]) ).
thf(1610,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ~ ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ ( sK48_SY1416 @ SV35 @ SV109 ) ) )
| ( ( size_s416147576yperep @ ( sK48_SY1416 @ SV35 @ SV109 ) )
!= SV35 ) ) )
= $true )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1529]) ).
thf(1611,plain,
! [SV35: nat,SV305: list_typerep,SV285: typerep,SV109: list_typerep] :
( ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
!= SV35 )
= $true )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1530]) ).
thf(1612,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1613,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1531]) ).
thf(1614,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1615,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1532]) ).
thf(1616,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1534]) ).
thf(1617,plain,
! [SV110: nat,SV36: nat] :
( ( ( ~ ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) ) )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1536]) ).
thf(1618,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( ! [SV340: list_char] :
( ( SV113 @ SV340 )
= ( SV207 @ SV340 ) ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1538]) ).
thf(1619,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1538]) ).
thf(1620,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
| ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1539]) ).
thf(1621,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1622,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1540]) ).
thf(1623,plain,
! [SV45: ( list_char > int ) > ( list_char > int ) > $o,SV119: ( list_char > int ) > ( list_char > int ) > $o,SV298: list_char > int,SV171: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV171 @ SV298 ) @ ( sK21_SY1316 @ SV119 @ SV171 @ SV45 ) )
= $false )
| ( ( SV119 @ ( sK12_SY992 @ SV171 @ SV119 @ SV45 ) @ SV298 )
= $false )
| ( ( relati2102071307_hoare @ SV119 @ skip @ SV171 @ SV45 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1541]) ).
thf(1624,plain,
! [SV123: com,SV315: list_char,SV214: list_char > int,SV175: list_char > int,SV50: bexp] :
( ( ( bval @ SV50 @ SV175 )
= $true )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1542]) ).
thf(1625,plain,
! [SV50: bexp,SV214: list_char > int,SV315: list_char,SV175: list_char > int,SV123: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK55_SY1158 @ SV315 @ SV214 @ SV50 @ SV175 @ SV123 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK55_SY1158 @ SV315 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 ) )
= $false )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1543]) ).
thf(1626,plain,
! [SV50: bexp,SV214: list_char > int,SV175: list_char > int,SV123: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK50_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) )
= $false )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1627,plain,
! [SV175: list_char > int,SV214: list_char > int,SV123: com,SV50: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK50_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 ) )
= $false )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1545]) ).
thf(1628,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $true )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1548]) ).
thf(1629,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1549]) ).
thf(1630,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV216: com,SV271: com,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1550]) ).
thf(1631,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1442: list_char > int] :
~ ~ ! [SY1443: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1442 @ SY1443 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1442 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1443 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1550]) ).
thf(1632,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( ! [SV341: list_char] :
( ( SV126 @ SV341 )
= ( SV217 @ SV341 ) ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1552]) ).
thf(1633,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1552]) ).
thf(1634,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
| ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1553]) ).
thf(1635,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1636,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1554]) ).
thf(1637,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1556]) ).
thf(1638,plain,
! [SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1436: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SY1436 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SY1436 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SY1436 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1557]) ).
thf(1639,plain,
! [SV60: list_char > int,SV221: list_char > int,SV182: list_char > int,SV253: list_char > int,SV131: list_char > int] :
( ( ( q @ SV131 @ SV253 )
= $false )
| ( ( ~ ( bval @ b @ SV182 )
| ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1558]) ).
thf(1640,plain,
! [SV65: ( list_char > int ) > ( list_char > int ) > $o,SV134: ( list_char > int ) > ( list_char > int ) > $o,SV300: list_char > int,SV185: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV185 @ SV300 ) @ ( sK23_SY1356 @ SV134 @ SV185 @ SV65 ) )
= $false )
| ( ( SV134 @ ( sK14_SY1068 @ SV185 @ SV134 @ SV65 ) @ SV300 )
= $false )
| ( ( relati775585786_valid @ SV134 @ skip @ SV185 @ SV65 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1559]) ).
thf(1641,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ~ ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ ( sK53_SY1420 @ SV137 @ SV69 ) ) )
| ( ( size_s416147576yperep @ ( sK53_SY1420 @ SV137 @ SV69 ) )
!= SV137 ) ) )
= $true )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1560]) ).
thf(1642,plain,
! [SV137: nat,SV309: list_typerep,SV288: typerep,SV69: list_typerep] :
( ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
!= SV137 )
= $true )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1561]) ).
thf(1643,plain,
! [SV141: nat,SV189: nat,SV73: nat > nat > $o] :
( ( ( SV73 @ ( sK43_SY669 @ SV189 @ SV141 @ SV73 ) @ ( sK46_SY1426 @ SV141 @ SV189 @ SV73 ) )
= $true )
| ( ( SV73 @ SV141 @ SV189 )
= $true )
| ( ( SV73 @ zero_zero_nat @ ( suc @ ( sK30_SY668 @ SV189 @ SV141 @ SV73 ) ) )
= $false )
| ( ( SV73 @ ( sK15_SY667 @ SV189 @ SV141 @ SV73 ) @ zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1562]) ).
thf(1644,plain,
! [SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1564]) ).
thf(1645,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1565]) ).
thf(1646,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
| ~ ( bval @ SV146 @ SV335 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) ) )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1566]) ).
thf(1647,plain,
! [SV82: com,SV342: list_char > int,SV3: com] :
( ( ( ! [SY1446: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SY1446 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SY1446 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1567]) ).
thf(1648,plain,
! [SV3: com,SV343: list_char > int,SV82: com] :
( ( ( ! [SY1447: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SY1447 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SY1447 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1568]) ).
thf(1649,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1650,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1569]) ).
thf(1651,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1570]) ).
thf(1652,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1572]) ).
thf(1653,plain,
! [SV82: com,SV344: list_char > int,SV3: com] :
( ( ( ! [SY1448: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SY1448 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SY1448 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1574]) ).
thf(1654,plain,
! [SV3: com,SV345: list_char > int,SV82: com] :
( ( ( ! [SY1449: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SY1449 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SY1449 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1575]) ).
thf(1655,plain,
! [SV82: com,SV3: com] :
( ( ( ~ ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1656,plain,
! [SV3: com,SV82: com] :
( ( ( ~ ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1576]) ).
thf(1657,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1577]) ).
thf(1658,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1579]) ).
thf(1659,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1660,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 != SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1581]) ).
thf(1661,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( ~ ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1582]) ).
thf(1662,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV346: com] :
( ( ( ( ^ [SY1450: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SY1450 ) @ SV5 ) )
= ( ^ [SY1451: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SY1451 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1583]) ).
thf(1663,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1585]) ).
thf(1664,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1587]) ).
thf(1665,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1589]) ).
thf(1666,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
= $false )
| ( ( ~ ( bval @ b @ SV154 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1590]) ).
thf(1667,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1593]) ).
thf(1668,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1594]) ).
thf(1669,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $true )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1595]) ).
thf(1670,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ( suc @ zero_zero_nat )
= ( plus_plus_nat @ SV19 @ SV97 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1596]) ).
thf(1671,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1597]) ).
thf(1672,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19
!= ( suc @ zero_zero_nat ) )
| ( SV97 != zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1598]) ).
thf(1673,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1599]) ).
thf(1674,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_neg,[status(thm)],[1599]) ).
thf(1675,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ! [SY1452: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ SY1452 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ SY1452 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1600]) ).
thf(1676,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1601]) ).
thf(1677,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1602]) ).
thf(1678,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1603]) ).
thf(1679,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1603]) ).
thf(1680,plain,
! [SV236: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV99: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1605]) ).
thf(1681,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1606]) ).
thf(1682,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1607]) ).
thf(1683,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1607]) ).
thf(1684,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1608]) ).
thf(1685,plain,
! [SV33: com,SV297: list_char > int,SV292: list_char > int,SV108: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1608]) ).
thf(1686,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1687,plain,
! [SV33: com,SV297: list_char > int,SV292: list_char > int,SV108: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1609]) ).
thf(1688,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ ( sK48_SY1416 @ SV35 @ SV109 ) ) )
| ( ( size_s416147576yperep @ ( sK48_SY1416 @ SV35 @ SV109 ) )
!= SV35 ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1610]) ).
thf(1689,plain,
! [SV285: typerep,SV109: list_typerep,SV35: nat,SV305: list_typerep] :
( ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ~ ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1611]) ).
thf(1690,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1612]) ).
thf(1691,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1613]) ).
thf(1692,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $true )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1614]) ).
thf(1693,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ( plus_plus_nat @ SV36 @ SV110 )
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1615]) ).
thf(1694,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1616]) ).
thf(1695,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36
!= ( suc @ zero_zero_nat ) )
| ( SV110 != zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1617]) ).
thf(1696,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV348: list_char,SV113: list_char > int] :
( ( ( ( SV113 @ SV348 )
= ( SV207 @ SV348 ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1618]) ).
thf(1697,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
!= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1698,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1620]) ).
thf(1699,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1621]) ).
thf(1700,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1622]) ).
thf(1701,plain,
! [SV50: bexp,SV214: list_char > int,SV315: list_char,SV175: list_char > int,SV123: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK55_SY1158 @ SV315 @ SV214 @ SV50 @ SV175 @ SV123 ) ) )
= $false )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1702,plain,
! [SV175: list_char > int,SV214: list_char > int,SV315: list_char,SV123: com,SV50: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK55_SY1158 @ SV315 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 ) )
= $false )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1625]) ).
thf(1703,plain,
! [SV50: bexp,SV214: list_char > int,SV175: list_char > int,SV123: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK50_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) )
= $true )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1626]) ).
thf(1704,plain,
! [SV175: list_char > int,SV214: list_char > int,SV123: com,SV50: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK50_SY1158 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 )
= $true )
| ( ( SV214 = SV175 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1627]) ).
thf(1705,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV349: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1453: list_char > int] :
( ~ ( SV286 @ SV349 @ SY1453 )
| ~ ! [SY1454: list_char > int] :
~ ~ ! [SY1455: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1454 @ SY1455 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1454 ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1455 ) @ SY1453 ) ) ) )
= $true )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1629]) ).
thf(1706,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV216: com,SV271: com,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1630]) ).
thf(1707,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1442: list_char > int] :
~ ~ ! [SY1443: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1442 @ SY1443 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1442 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1443 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1631]) ).
thf(1708,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV350: list_char,SV126: list_char > int] :
( ( ( ( SV126 @ SV350 )
= ( SV217 @ SV350 ) )
= $true )
| ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1632]) ).
thf(1709,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
!= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1710,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1634]) ).
thf(1711,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1635]) ).
thf(1712,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1636]) ).
thf(1713,plain,
! [SV287: list_char > int,SV283: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1637]) ).
thf(1714,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SV351 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1638]) ).
thf(1715,plain,
! [SV131: list_char > int,SV253: list_char > int,SV60: list_char > int,SV221: list_char > int,SV182: list_char > int] :
( ( ( ~ ( bval @ b @ SV182 ) )
= $true )
| ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1639]) ).
thf(1716,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ ( sK53_SY1420 @ SV137 @ SV69 ) ) )
| ( ( size_s416147576yperep @ ( sK53_SY1420 @ SV137 @ SV69 ) )
!= SV137 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1641]) ).
thf(1717,plain,
! [SV288: typerep,SV69: list_typerep,SV137: nat,SV309: list_typerep] :
( ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ~ ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1642]) ).
thf(1718,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1645]) ).
thf(1719,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
| ~ ( bval @ SV146 @ SV335 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1646]) ).
thf(1720,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1647]) ).
thf(1721,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1648]) ).
thf(1722,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1649]) ).
thf(1723,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1650]) ).
thf(1724,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1651]) ).
thf(1725,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1652]) ).
thf(1726,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1653]) ).
thf(1727,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1654]) ).
thf(1728,plain,
! [SV82: com,SV3: com] :
( ( ( ! [SY693: list_char > int,SY694: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY693 ) @ SY694 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY693 ) @ SY694 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1655]) ).
thf(1729,plain,
! [SV3: com,SV82: com] :
( ( ( ! [SY695: list_char > int,SY696: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SY695 ) @ SY696 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SY695 ) @ SY696 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1656]) ).
thf(1730,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1657]) ).
thf(1731,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1658]) ).
thf(1732,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1659]) ).
thf(1733,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1660]) ).
thf(1734,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
| ( SV5 != SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1661]) ).
thf(1735,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV346: com] :
( ( ( ! [SV356: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV356 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV356 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1662]) ).
thf(1736,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV346: com] :
( ( ( ( ^ [SY1450: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SY1450 ) @ SV5 ) )
= ( ^ [SY1451: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SY1451 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1662]) ).
thf(1737,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1663]) ).
thf(1738,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1663]) ).
thf(1739,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1664]) ).
thf(1740,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1741,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) ) )
= $true )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1665]) ).
thf(1742,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( bval @ b @ SV154 )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1666]) ).
thf(1743,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1744,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 != zero_zero_nat )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1671]) ).
thf(1745,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1746,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 != zero_zero_nat )
= $false )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1672]) ).
thf(1747,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1748,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1673]) ).
thf(1749,plain,
! [SV98: com,SV156: com,SV357: list_char > int,SV22: com] :
( ( ( ! [SY1456: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SY1456 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SY1456 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1674]) ).
thf(1750,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1675]) ).
thf(1751,plain,
! [SV98: com,SV156: com,SV358: list_char > int,SV22: com] :
( ( ( ! [SY1457: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SY1457 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SY1457 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1676]) ).
thf(1752,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1677]) ).
thf(1753,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1678]) ).
thf(1754,plain,
! [SV99: com,SV23: bexp,SV157: list_char > int,SV200: list_char > int,SV236: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV236 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV99 @ ( sK32_SY1220 @ SV200 @ SV157 @ SV23 @ SV236 @ SV99 ) ) @ ( sK35_SY1410 @ SV236 @ SV23 @ SV157 @ SV200 @ SV99 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV236 ) @ SV157 ) @ SV200 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV23 @ SV99 ) @ SV157 ) @ SV200 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1680]) ).
thf(1755,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1756,plain,
! [SV33: com,SV324: list_char > int,SV314: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1681]) ).
thf(1757,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1682]) ).
thf(1758,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1684]) ).
thf(1759,plain,
! [SV33: com,SV297: list_char > int,SV292: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1685]) ).
thf(1760,plain,
! [SV108: com,SV297: list_char > int,SV292: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV292 ) @ SV297 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1686]) ).
thf(1761,plain,
! [SV33: com,SV297: list_char > int,SV292: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV292 ) @ SV297 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1687]) ).
thf(1762,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( SV109
!= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ ( sK48_SY1416 @ SV35 @ SV109 ) ) )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1763,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( size_s416147576yperep @ ( sK48_SY1416 @ SV35 @ SV109 ) )
!= SV35 )
= $false )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1688]) ).
thf(1764,plain,
! [SV305: list_typerep,SV285: typerep,SV109: list_typerep,SV35: nat] :
( ( ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
| ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1689]) ).
thf(1765,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1766,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 != zero_zero_nat )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1694]) ).
thf(1767,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1768,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 != zero_zero_nat )
= $false )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1695]) ).
thf(1769,plain,
! [SV207: list_char > int,SV166: com,SV113: list_char > int,SV39: com] :
( ( ( ( produc1193801173ar_int @ SV39 @ SV113 )
= ( produc1193801173ar_int @ SV166 @ SV207 ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1697]) ).
thf(1770,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ~ ( ( SV39 != SV166 )
| ( SV113 != SV207 ) ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1698]) ).
thf(1771,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ( SV39 != SV166 )
| ( SV113 != SV207 ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1700]) ).
thf(1772,plain,
! [SV50: bexp,SV214: list_char > int,SV315: list_char,SV175: list_char > int,SV123: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV123 @ SV175 ) @ ( sK55_SY1158 @ SV315 @ SV214 @ SV50 @ SV175 @ SV123 ) )
= $true )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1701]) ).
thf(1773,plain,
! [SV175: list_char > int,SV214: list_char > int,SV315: list_char,SV123: com,SV50: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ ( sK55_SY1158 @ SV315 @ SV214 @ SV50 @ SV175 @ SV123 ) ) @ SV214 )
= $true )
| ( ( ( SV214 @ SV315 )
= ( SV175 @ SV315 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV50 @ SV123 ) @ SV175 ) @ SV214 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1702]) ).
thf(1774,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV359: list_char > int,SV349: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ SV349 @ SV359 )
| ~ ! [SY1458: list_char > int] :
~ ~ ! [SY1459: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1458 @ SY1459 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1458 ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1459 ) @ SV359 ) ) )
= $true )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1705]) ).
thf(1775,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1706]) ).
thf(1776,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1460: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SV360 @ SY1460 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1460 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1707]) ).
thf(1777,plain,
! [SV217: list_char > int,SV178: com,SV126: list_char > int,SV54: com] :
( ( ( ( produc1193801173ar_int @ SV54 @ SV126 )
= ( produc1193801173ar_int @ SV178 @ SV217 ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1709]) ).
thf(1778,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ~ ( ( SV54 != SV178 )
| ( SV126 != SV217 ) ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1710]) ).
thf(1779,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ( SV54 != SV178 )
| ( SV126 != SV217 ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1712]) ).
thf(1780,plain,
! [SV287: list_char > int,SV283: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1713]) ).
thf(1781,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SV351 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) ) )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1714]) ).
thf(1782,plain,
! [SV131: list_char > int,SV253: list_char > int,SV60: list_char > int,SV221: list_char > int,SV182: list_char > int] :
( ( ( bval @ b @ SV182 )
= $false )
| ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
| ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1715]) ).
thf(1783,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( SV69
!= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ ( sK53_SY1420 @ SV137 @ SV69 ) ) )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1784,plain,
! [SV69: list_typerep,SV137: nat] :
( ( ( ( size_s416147576yperep @ ( sK53_SY1420 @ SV137 @ SV69 ) )
!= SV137 )
= $false )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1716]) ).
thf(1785,plain,
! [SV309: list_typerep,SV288: typerep,SV137: nat,SV69: list_typerep] :
( ( ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
| ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1717]) ).
thf(1786,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[1718]) ).
thf(1787,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
| ~ ( bval @ SV146 @ SV335 ) ) )
= $true )
| ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1719]) ).
thf(1788,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1720]) ).
thf(1789,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1720]) ).
thf(1790,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1721]) ).
thf(1791,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1721]) ).
thf(1792,plain,
! [SV82: com,SV361: list_char > int,SV3: com] :
( ( ( ! [SY1461: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SY1461 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SY1461 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1722]) ).
thf(1793,plain,
! [SV3: com,SV362: list_char > int,SV82: com] :
( ( ( ! [SY1462: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SY1462 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SY1462 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1723]) ).
thf(1794,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1795,plain,
! [SV3: com,SV327: list_char > int,SV316: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1724]) ).
thf(1796,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1797,plain,
! [SV82: com,SV328: list_char > int,SV317: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1725]) ).
thf(1798,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1726]) ).
thf(1799,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1726]) ).
thf(1800,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1727]) ).
thf(1801,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1727]) ).
thf(1802,plain,
! [SV82: com,SV363: list_char > int,SV3: com] :
( ( ( ! [SY1463: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SY1463 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SY1463 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1728]) ).
thf(1803,plain,
! [SV3: com,SV364: list_char > int,SV82: com] :
( ( ( ! [SY1464: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SY1464 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SY1464 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1729]) ).
thf(1804,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1805,plain,
! [SV3: com,SV329: list_char > int,SV318: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1730]) ).
thf(1806,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1807,plain,
! [SV82: com,SV330: list_char > int,SV319: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1731]) ).
thf(1808,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV365: com] :
( ( ^ [SY1465: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV365 @ SY1465 ) @ SV5 ) )
= ( ^ [SY1466: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV365 @ SY1466 ) @ SV84 ) ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1732]) ).
thf(1809,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1732]) ).
thf(1810,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
!= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1811,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 != SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1734]) ).
thf(1812,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1735]) ).
thf(1813,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1737]) ).
thf(1814,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1815,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1739]) ).
thf(1816,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1740]) ).
thf(1817,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1741]) ).
thf(1818,plain,
! [SV264: list_char > int,SV154: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
= $false )
| ( ( bval @ b @ SV154 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1742]) ).
thf(1819,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1743]) ).
thf(1820,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1744]) ).
thf(1821,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1745]) ).
thf(1822,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97 = zero_zero_nat )
= $true )
| ( ( ~ ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1746]) ).
thf(1823,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1747]) ).
thf(1824,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1748]) ).
thf(1825,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1749]) ).
thf(1826,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1750]) ).
thf(1827,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_neg,[status(thm)],[1750]) ).
thf(1828,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1751]) ).
thf(1829,plain,
! [SV98: com,SV22: com,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1752]) ).
thf(1830,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1753]) ).
thf(1831,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1755]) ).
thf(1832,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1756]) ).
thf(1833,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1757]) ).
thf(1834,plain,
! [SV35: nat,SV109: list_typerep] :
( ( ( SV109
= ( cons_typerep @ ( sK36_SY761 @ SV35 @ SV109 ) @ ( sK48_SY1416 @ SV35 @ SV109 ) ) )
= $true )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1762]) ).
thf(1835,plain,
! [SV109: list_typerep,SV35: nat] :
( ( ( ( size_s416147576yperep @ ( sK48_SY1416 @ SV35 @ SV109 ) )
= SV35 )
= $true )
| ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1763]) ).
thf(1836,plain,
! [SV305: list_typerep,SV285: typerep,SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
!= ( size_s416147576yperep @ SV109 ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1837,plain,
! [SV305: list_typerep,SV285: typerep,SV35: nat,SV109: list_typerep] :
( ( ( ~ ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1764]) ).
thf(1838,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1765]) ).
thf(1839,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1766]) ).
thf(1840,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1767]) ).
thf(1841,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110 = zero_zero_nat )
= $true )
| ( ( ~ ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1768]) ).
thf(1842,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( ( SV39 != SV166 )
| ( SV113 != SV207 ) )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1770]) ).
thf(1843,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 != SV166 )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1771]) ).
thf(1844,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 != SV207 )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1771]) ).
thf(1845,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV359: list_char > int,SV349: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ SV349 @ SV359 ) )
= $true )
| ( ( ~ ! [SY1458: list_char > int] :
~ ~ ! [SY1459: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1458 @ SY1459 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1458 ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1459 ) @ SV359 ) ) )
= $true )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1774]) ).
thf(1846,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1775]) ).
thf(1847,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1775]) ).
thf(1848,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1460: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SV360 @ SY1460 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1460 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1776]) ).
thf(1849,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( ( SV54 != SV178 )
| ( SV126 != SV217 ) )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1778]) ).
thf(1850,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 != SV178 )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1779]) ).
thf(1851,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 != SV217 )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1779]) ).
thf(1852,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1467: list_char > int] :
( ~ ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ SY1467 )
| ~ ! [SY1468: list_char > int] :
~ ~ ! [SY1469: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1468 @ SY1469 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1468 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1469 ) @ SY1467 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1780]) ).
thf(1853,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SV351 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1781]) ).
thf(1854,plain,
! [SV131: list_char > int,SV253: list_char > int,SV60: list_char > int,SV221: list_char > int,SV182: list_char > int] :
( ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 ) )
= $true )
| ( ( ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1782]) ).
thf(1855,plain,
! [SV137: nat,SV69: list_typerep] :
( ( ( SV69
= ( cons_typerep @ ( sK38_SY895 @ SV137 @ SV69 ) @ ( sK53_SY1420 @ SV137 @ SV69 ) ) )
= $true )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1783]) ).
thf(1856,plain,
! [SV69: list_typerep,SV137: nat] :
( ( ( ( size_s416147576yperep @ ( sK53_SY1420 @ SV137 @ SV69 ) )
= SV137 )
= $true )
| ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1784]) ).
thf(1857,plain,
! [SV309: list_typerep,SV288: typerep,SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
!= ( suc @ SV137 ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1785]) ).
thf(1858,plain,
! [SV309: list_typerep,SV288: typerep,SV137: nat,SV69: list_typerep] :
( ( ( ~ ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1785]) ).
thf(1859,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) ) )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1786]) ).
thf(1860,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
| ~ ( bval @ SV146 @ SV335 ) ) )
= $false )
| ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1787]) ).
thf(1861,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1788]) ).
thf(1862,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1790]) ).
thf(1863,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1792]) ).
thf(1864,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1793]) ).
thf(1865,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1794]) ).
thf(1866,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1795]) ).
thf(1867,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1796]) ).
thf(1868,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1797]) ).
thf(1869,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1798]) ).
thf(1870,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1800]) ).
thf(1871,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1802]) ).
thf(1872,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1803]) ).
thf(1873,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1804]) ).
thf(1874,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1805]) ).
thf(1875,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1806]) ).
thf(1876,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1807]) ).
thf(1877,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV373: com] :
( ( ( ( ^ [SY1471: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SY1471 ) @ SV5 ) )
= ( ^ [SY1472: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SY1472 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1808]) ).
thf(1878,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1810]) ).
thf(1879,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( SV5 = SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1811]) ).
thf(1880,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1812]) ).
thf(1881,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1812]) ).
thf(1882,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1813]) ).
thf(1883,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1814]) ).
thf(1884,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1815]) ).
thf(1885,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1886,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1816]) ).
thf(1887,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1888,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1817]) ).
thf(1889,plain,
! [SV154: list_char > int,SV264: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV264 ) @ t_a )
= $false )
| ( ( bval @ b @ SV154 )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ( suc @ ka ) @ SV154 @ SV264 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV154 ) @ ta )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1818]) ).
thf(1890,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1819]) ).
thf(1891,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1820]) ).
thf(1892,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1821]) ).
thf(1893,plain,
! [SV97: nat,SV19: nat] :
( ( ( ( SV19 != zero_zero_nat )
| ( SV97
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1822]) ).
thf(1894,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1823]) ).
thf(1895,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1824]) ).
thf(1896,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1825]) ).
thf(1897,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1825]) ).
thf(1898,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1899,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1826]) ).
thf(1900,plain,
! [SV98: com,SV156: com,SV374: list_char > int,SV22: com] :
( ( ( ! [SY1473: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SY1473 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SY1473 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1827]) ).
thf(1901,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1828]) ).
thf(1902,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1828]) ).
thf(1903,plain,
! [SV98: com,SV156: com,SV375: list_char > int,SV22: com] :
( ( ( ! [SY1474: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SY1474 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SY1474 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1829]) ).
thf(1904,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1830]) ).
thf(1905,plain,
! [SV98: com,SV22: com,SV338: list_char > int,SV333: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1830]) ).
thf(1906,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1831]) ).
thf(1907,plain,
! [SV33: com,SV324: list_char > int,SV314: list_char > int,SV108: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1831]) ).
thf(1908,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1909,plain,
! [SV33: com,SV324: list_char > int,SV314: list_char > int,SV108: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1832]) ).
thf(1910,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1911,plain,
! [SV33: com,SV339: list_char > int,SV334: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1833]) ).
thf(1912,plain,
! [SV305: list_typerep,SV285: typerep,SV109: list_typerep,SV35: nat] :
( ( ( ( suc @ SV35 )
= ( size_s416147576yperep @ SV109 ) )
= $true )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1836]) ).
thf(1913,plain,
! [SV305: list_typerep,SV285: typerep,SV35: nat,SV109: list_typerep] :
( ( ( ~ ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $true )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1837]) ).
thf(1914,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1838]) ).
thf(1915,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1839]) ).
thf(1916,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1840]) ).
thf(1917,plain,
! [SV110: nat,SV36: nat] :
( ( ( ( SV36 != zero_zero_nat )
| ( SV110
!= ( suc @ zero_zero_nat ) ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1841]) ).
thf(1918,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 != SV166 )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1919,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 != SV207 )
= $false )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1842]) ).
thf(1920,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 = SV166 )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1843]) ).
thf(1921,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1844]) ).
thf(1922,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV359: list_char > int,SV349: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( ~ ! [SY1458: list_char > int] :
~ ~ ! [SY1459: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1458 @ SY1459 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1458 ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1459 ) @ SV359 ) ) )
= $true )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1845]) ).
thf(1923,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $true )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1846]) ).
thf(1924,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $true )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1847]) ).
thf(1925,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1460: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SV360 @ SY1460 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1460 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1848]) ).
thf(1926,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 != SV178 )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1927,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 != SV217 )
= $false )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1849]) ).
thf(1928,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 = SV178 )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1850]) ).
thf(1929,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1851]) ).
thf(1930,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
| ~ ! [SY1475: list_char > int] :
~ ~ ! [SY1476: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1475 @ SY1476 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1475 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1476 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[1852]) ).
thf(1931,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SV351 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1853]) ).
thf(1932,plain,
! [SV131: list_char > int,SV253: list_char > int,SV60: list_char > int,SV221: list_char > int,SV182: list_char > int] :
( ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( ~ ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $true )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1854]) ).
thf(1933,plain,
! [SV309: list_typerep,SV288: typerep,SV137: nat,SV69: list_typerep] :
( ( ( ( size_s416147576yperep @ SV69 )
= ( suc @ SV137 ) )
= $true )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1857]) ).
thf(1934,plain,
! [SV309: list_typerep,SV288: typerep,SV137: nat,SV69: list_typerep] :
( ( ( ~ ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $true )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1858]) ).
thf(1935,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1859]) ).
thf(1936,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
| ~ ( bval @ SV146 @ SV335 ) )
= $true )
| ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1860]) ).
thf(1937,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1861]) ).
thf(1938,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1862]) ).
thf(1939,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1863]) ).
thf(1940,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1863]) ).
thf(1941,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1864]) ).
thf(1942,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1864]) ).
thf(1943,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1944,plain,
! [SV3: com,SV327: list_char > int,SV316: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1865]) ).
thf(1945,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1946,plain,
! [SV3: com,SV327: list_char > int,SV316: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1866]) ).
thf(1947,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1948,plain,
! [SV82: com,SV328: list_char > int,SV317: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1867]) ).
thf(1949,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1950,plain,
! [SV82: com,SV328: list_char > int,SV317: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1868]) ).
thf(1951,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1869]) ).
thf(1952,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1870]) ).
thf(1953,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1871]) ).
thf(1954,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1871]) ).
thf(1955,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1872]) ).
thf(1956,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1872]) ).
thf(1957,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1958,plain,
! [SV3: com,SV329: list_char > int,SV318: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1873]) ).
thf(1959,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1960,plain,
! [SV3: com,SV329: list_char > int,SV318: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1874]) ).
thf(1961,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(1962,plain,
! [SV82: com,SV330: list_char > int,SV319: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1875]) ).
thf(1963,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(1964,plain,
! [SV82: com,SV330: list_char > int,SV319: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1876]) ).
thf(1965,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV373: com] :
( ( ( ! [SV376: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV376 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV376 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1877]) ).
thf(1966,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV373: com] :
( ( ( ( ^ [SY1471: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SY1471 ) @ SV5 ) )
= ( ^ [SY1472: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SY1472 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[1877]) ).
thf(1967,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ! [SV377: com] :
( ( ^ [SY1478: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV377 @ SY1478 ) @ SV5 ) )
= ( ^ [SY1479: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV377 @ SY1479 ) @ SV84 ) ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1878]) ).
thf(1968,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int] :
( ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1878]) ).
thf(1969,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1880]) ).
thf(1970,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1882]) ).
thf(1971,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) ) )
= $true )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1882]) ).
thf(1972,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1883]) ).
thf(1973,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1883]) ).
thf(1974,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(1975,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1884]) ).
thf(1976,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1885]) ).
thf(1977,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1886]) ).
thf(1978,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1887]) ).
thf(1979,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV322: list_char > int,SV302: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV302 @ SV322 ) @ SV84 )
= $false )
| ( ( SV5 = SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1888]) ).
thf(1980,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(1981,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1890]) ).
thf(1982,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1983,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1891]) ).
thf(1984,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(1985,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1892]) ).
thf(1986,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 != zero_zero_nat )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1893]) ).
thf(1987,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1893]) ).
thf(1988,plain,
! [SV98: com,SV156: com,SV378: list_char > int,SV22: com] :
( ( ( ! [SY1480: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SY1480 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SY1480 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1894]) ).
thf(1989,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1895]) ).
thf(1990,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1896]) ).
thf(1991,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1898]) ).
thf(1992,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1899]) ).
thf(1993,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1900]) ).
thf(1994,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1901]) ).
thf(1995,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1903]) ).
thf(1996,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1904]) ).
thf(1997,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1905]) ).
thf(1998,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1906]) ).
thf(1999,plain,
! [SV33: com,SV324: list_char > int,SV314: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1907]) ).
thf(2000,plain,
! [SV108: com,SV324: list_char > int,SV314: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV314 ) @ SV324 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1908]) ).
thf(2001,plain,
! [SV33: com,SV324: list_char > int,SV314: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV314 ) @ SV324 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[1909]) ).
thf(2002,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1910]) ).
thf(2003,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1911]) ).
thf(2004,plain,
! [SV305: list_typerep,SV285: typerep,SV35: nat,SV109: list_typerep] :
( ( ( ! [SY761: typerep] :
~ ~ ! [SY762: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ SY761 @ SY762 ) )
| ( ( size_s416147576yperep @ SY762 )
!= SV35 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1913]) ).
thf(2005,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(2006,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1914]) ).
thf(2007,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(2008,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1915]) ).
thf(2009,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1916]) ).
thf(2010,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1916]) ).
thf(2011,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 != zero_zero_nat )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1917]) ).
thf(2012,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
!= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1917]) ).
thf(2013,plain,
! [SV207: list_char > int,SV113: list_char > int,SV166: com,SV39: com] :
( ( ( SV39 = SV166 )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1918]) ).
thf(2014,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1919]) ).
thf(2015,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( ! [SV381: list_char] :
( ( SV113 @ SV381 )
= ( SV207 @ SV381 ) ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1921]) ).
thf(2016,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1921]) ).
thf(2017,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV359: list_char > int,SV271: com,SV349: list_char > int,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1458: list_char > int] :
~ ~ ! [SY1459: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1458 @ SY1459 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1458 ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1459 ) @ SV359 ) ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1922]) ).
thf(2018,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV382: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1481: list_char > int] :
( ~ ( SV286 @ SV382 @ SY1481 )
| ~ ! [SY1482: list_char > int] :
~ ~ ! [SY1483: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1482 @ SY1483 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1482 ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1483 ) @ SY1481 ) ) ) )
= $true )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1924]) ).
thf(2019,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV125 @ SV360 @ SV383 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1925]) ).
thf(2020,plain,
! [SV217: list_char > int,SV126: list_char > int,SV178: com,SV54: com] :
( ( ( SV54 = SV178 )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1926]) ).
thf(2021,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1927]) ).
thf(2022,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( ! [SV384: list_char] :
( ( SV126 @ SV384 )
= ( SV217 @ SV384 ) ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1929]) ).
thf(2023,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1929]) ).
thf(2024,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(2025,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1475: list_char > int] :
~ ~ ! [SY1476: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1475 @ SY1476 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1475 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1476 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1930]) ).
thf(2026,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SV351 ) ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1931]) ).
thf(2027,plain,
! [SV131: list_char > int,SV221: list_char > int,SV182: list_char > int,SV253: list_char > int,SV60: list_char > int] :
( ( ( ! [SY1282: list_char > int] :
~ ~ ! [SY1283: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ SY1282 @ SY1283 )
| ~ ( bval @ b @ SY1282 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ SY1282 ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1283 ) @ SV253 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1932]) ).
thf(2028,plain,
! [SV309: list_typerep,SV288: typerep,SV137: nat,SV69: list_typerep] :
( ( ( ! [SY895: typerep] :
~ ~ ! [SY896: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ SY895 @ SY896 ) )
| ( ( size_s416147576yperep @ SY896 )
!= SV137 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1934]) ).
thf(2029,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2030,plain,
! [SV277: list_char > int,SV289: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1935]) ).
thf(2031,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 ) )
= $true )
| ( ( ~ ( bval @ SV146 @ SV335 ) )
= $true )
| ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[1936]) ).
thf(2032,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2033,plain,
! [SV3: com,SV352: list_char > int,SV342: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1937]) ).
thf(2034,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2035,plain,
! [SV82: com,SV353: list_char > int,SV343: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1938]) ).
thf(2036,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1939]) ).
thf(2037,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1941]) ).
thf(2038,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1943]) ).
thf(2039,plain,
! [SV3: com,SV327: list_char > int,SV316: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1944]) ).
thf(2040,plain,
! [SV82: com,SV327: list_char > int,SV316: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV316 ) @ SV327 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1945]) ).
thf(2041,plain,
! [SV3: com,SV327: list_char > int,SV316: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV316 ) @ SV327 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1946]) ).
thf(2042,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1947]) ).
thf(2043,plain,
! [SV82: com,SV328: list_char > int,SV317: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1948]) ).
thf(2044,plain,
! [SV3: com,SV328: list_char > int,SV317: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV317 ) @ SV328 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1949]) ).
thf(2045,plain,
! [SV82: com,SV328: list_char > int,SV317: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV317 ) @ SV328 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1950]) ).
thf(2046,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2047,plain,
! [SV3: com,SV354: list_char > int,SV344: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1951]) ).
thf(2048,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2049,plain,
! [SV82: com,SV355: list_char > int,SV345: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[1952]) ).
thf(2050,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1953]) ).
thf(2051,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1955]) ).
thf(2052,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1957]) ).
thf(2053,plain,
! [SV3: com,SV329: list_char > int,SV318: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1958]) ).
thf(2054,plain,
! [SV82: com,SV329: list_char > int,SV318: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV318 ) @ SV329 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1959]) ).
thf(2055,plain,
! [SV3: com,SV329: list_char > int,SV318: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV318 ) @ SV329 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1960]) ).
thf(2056,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1961]) ).
thf(2057,plain,
! [SV82: com,SV330: list_char > int,SV319: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1962]) ).
thf(2058,plain,
! [SV3: com,SV330: list_char > int,SV319: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV319 ) @ SV330 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1963]) ).
thf(2059,plain,
! [SV82: com,SV330: list_char > int,SV319: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV319 ) @ SV330 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1964]) ).
thf(2060,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1965]) ).
thf(2061,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV386: com] :
( ( ( ( ^ [SY1484: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SY1484 ) @ SV5 ) )
= ( ^ [SY1485: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SY1485 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[1967]) ).
thf(2062,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1969]) ).
thf(2063,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1970]) ).
thf(2064,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1971]) ).
thf(2065,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1972]) ).
thf(2066,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1973]) ).
thf(2067,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1974]) ).
thf(2068,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV332: list_char > int,SV310: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV310 @ SV332 ) @ SV84 )
= $false )
| ( ( ( ^ [SY397: com,SY398: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY397 @ SY398 ) @ SV5 ) )
= ( ^ [SY700: com,SY701: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SY700 @ SY701 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1975]) ).
thf(2069,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1980]) ).
thf(2070,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1981]) ).
thf(2071,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $true )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1982]) ).
thf(2072,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV97 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1983]) ).
thf(2073,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1984]) ).
thf(2074,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1985]) ).
thf(2075,plain,
! [SV97: nat,SV19: nat] :
( ( ( SV19 = zero_zero_nat )
= $true )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1986]) ).
thf(2076,plain,
! [SV19: nat,SV97: nat] :
( ( ( SV97
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV97 = zero_zero_nat )
= $true )
| ( ( SV19 = zero_zero_nat )
= $false )
| ( ( SV97
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[1987]) ).
thf(2077,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[1988]) ).
thf(2078,plain,
! [SV98: com,SV22: com,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1989]) ).
thf(2079,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[1990]) ).
thf(2080,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1991]) ).
thf(2081,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[1992]) ).
thf(2082,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1993]) ).
thf(2083,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1993]) ).
thf(2084,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[1994]) ).
thf(2085,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1995]) ).
thf(2086,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[1995]) ).
thf(2087,plain,
! [SV156: com,SV98: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2088,plain,
! [SV98: com,SV22: com,SV338: list_char > int,SV333: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1996]) ).
thf(2089,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2090,plain,
! [SV22: com,SV98: com,SV338: list_char > int,SV333: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[1997]) ).
thf(2091,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2092,plain,
! [SV33: com,SV339: list_char > int,SV334: list_char > int,SV108: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2002]) ).
thf(2093,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2003]) ).
thf(2094,plain,
! [SV33: com,SV339: list_char > int,SV334: list_char > int,SV108: com,SV164: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2003]) ).
thf(2095,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( ~ ~ ! [SY1486: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ SY1486 ) )
| ( ( size_s416147576yperep @ SY1486 )
!= SV35 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2004]) ).
thf(2096,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2005]) ).
thf(2097,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2006]) ).
thf(2098,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $true )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2007]) ).
thf(2099,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $false )
| ( ( SV110 = zero_zero_nat )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2008]) ).
thf(2100,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2009]) ).
thf(2101,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2010]) ).
thf(2102,plain,
! [SV110: nat,SV36: nat] :
( ( ( SV36 = zero_zero_nat )
= $true )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2011]) ).
thf(2103,plain,
! [SV36: nat,SV110: nat] :
( ( ( SV110
= ( suc @ zero_zero_nat ) )
= $true )
| ( ( SV110 = zero_zero_nat )
= $true )
| ( ( SV36 = zero_zero_nat )
= $false )
| ( ( SV110
= ( suc @ zero_zero_nat ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2012]) ).
thf(2104,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( ! [SV388: list_char] :
( ( SV113 @ SV388 )
= ( SV207 @ SV388 ) ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2014]) ).
thf(2105,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV113: list_char > int] :
( ( ( SV113 = SV207 )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2014]) ).
thf(2106,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV389: list_char,SV113: list_char > int] :
( ( ( ( SV113 @ SV389 )
= ( SV207 @ SV389 ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( SV113 = SV207 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2015]) ).
thf(2107,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1487: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ SY1487 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1487 ) @ SV359 ) ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2017]) ).
thf(2108,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV390: list_char > int,SV382: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ SV382 @ SV390 )
| ~ ! [SY1488: list_char > int] :
~ ~ ! [SY1489: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1488 @ SY1489 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1488 ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1489 ) @ SV390 ) ) )
= $true )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2018]) ).
thf(2109,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV125 @ SV360 @ SV383 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2019]) ).
thf(2110,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( ! [SV391: list_char] :
( ( SV126 @ SV391 )
= ( SV217 @ SV391 ) ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2021]) ).
thf(2111,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV126: list_char > int] :
( ( ( SV126 = SV217 )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2021]) ).
thf(2112,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV392: list_char,SV126: list_char > int] :
( ( ( ( SV126 @ SV392 )
= ( SV217 @ SV392 ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( SV126 = SV217 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2022]) ).
thf(2113,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2024]) ).
thf(2114,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1475: list_char > int] :
~ ~ ! [SY1476: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1475 @ SY1476 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1475 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1476 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2025]) ).
thf(2115,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
| ~ ( bval @ SV181 @ SV351 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2026]) ).
thf(2116,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ~ ! [SY1490: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ SY1490 )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1490 ) @ SV253 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2027]) ).
thf(2117,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( ~ ~ ! [SY1491: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ SY1491 ) )
| ( ( size_s416147576yperep @ SY1491 )
!= SV137 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2028]) ).
thf(2118,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) ) )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2029]) ).
thf(2119,plain,
! [SV277: list_char > int,SV289: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2030]) ).
thf(2120,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( ~ ( bval @ SV146 @ SV335 ) )
= $true )
| ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2031]) ).
thf(2121,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2032]) ).
thf(2122,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2033]) ).
thf(2123,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2034]) ).
thf(2124,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2035]) ).
thf(2125,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2036]) ).
thf(2126,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2037]) ).
thf(2127,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2046]) ).
thf(2128,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2047]) ).
thf(2129,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2048]) ).
thf(2130,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2049]) ).
thf(2131,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2050]) ).
thf(2132,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2051]) ).
thf(2133,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2060]) ).
thf(2134,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2060]) ).
thf(2135,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV386: com] :
( ( ( ! [SV393: list_char > int] :
( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV393 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV393 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2061]) ).
thf(2136,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV386: com] :
( ( ( ( ^ [SY1484: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SY1484 ) @ SV5 ) )
= ( ^ [SY1485: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SY1485 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2061]) ).
thf(2137,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2138,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) ) )
= $true )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2062]) ).
thf(2139,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2063]) ).
thf(2140,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2063]) ).
thf(2141,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2142,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2064]) ).
thf(2143,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2077]) ).
thf(2144,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2077]) ).
thf(2145,plain,
! [SV98: com,SV156: com,SV394: list_char > int,SV22: com] :
( ( ( ! [SY1492: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SY1492 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SY1492 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2078]) ).
thf(2146,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2079]) ).
thf(2147,plain,
! [SV98: com,SV22: com,SV367: list_char > int,SV357: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2079]) ).
thf(2148,plain,
! [SV98: com,SV156: com,SV395: list_char > int,SV22: com] :
( ( ( ! [SY1493: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SY1493 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SY1493 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2080]) ).
thf(2149,plain,
! [SV156: com,SV22: com,SV98: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $true )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2081]) ).
thf(2150,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2082]) ).
thf(2151,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2152,plain,
! [SV98: com,SV22: com,SV368: list_char > int,SV358: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2084]) ).
thf(2153,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2085]) ).
thf(2154,plain,
! [SV156: com,SV98: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2087]) ).
thf(2155,plain,
! [SV98: com,SV22: com,SV338: list_char > int,SV333: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2088]) ).
thf(2156,plain,
! [SV98: com,SV156: com,SV338: list_char > int,SV333: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV333 ) @ SV338 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2089]) ).
thf(2157,plain,
! [SV22: com,SV98: com,SV338: list_char > int,SV333: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV333 ) @ SV338 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2090]) ).
thf(2158,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2091]) ).
thf(2159,plain,
! [SV33: com,SV339: list_char > int,SV334: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2092]) ).
thf(2160,plain,
! [SV108: com,SV339: list_char > int,SV334: list_char > int,SV33: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV33 ) @ SV334 ) @ SV339 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2093]) ).
thf(2161,plain,
! [SV33: com,SV339: list_char > int,SV334: list_char > int,SV108: com,SV164: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV164 @ SV108 ) @ SV334 ) @ SV339 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV33 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV108 @ ( sK10_SY757 @ SV164 @ SV108 @ SV33 ) ) @ ( sK20_SY1309 @ SV108 @ SV164 @ SV33 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2094]) ).
thf(2162,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( ~ ! [SY1486: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ SY1486 ) )
| ( ( size_s416147576yperep @ SY1486 )
!= SV35 ) ) )
= $true )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2095]) ).
thf(2163,plain,
! [SV166: com,SV39: com,SV207: list_char > int,SV396: list_char,SV113: list_char > int] :
( ( ( ( SV113 @ SV396 )
= ( SV207 @ SV396 ) )
= $true )
| ( ( SV39 = SV166 )
= $false )
| ( ( ( SV113 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) )
= ( SV207 @ ( sK49_SV325 @ SV166 @ SV39 @ SV207 @ SV113 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2104]) ).
thf(2164,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1487: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ SY1487 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1487 ) @ SV359 ) ) )
= $true )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2107]) ).
thf(2165,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV390: list_char > int,SV382: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ SV382 @ SV390 ) )
= $true )
| ( ( ~ ! [SY1488: list_char > int] :
~ ~ ! [SY1489: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1488 @ SY1489 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1488 ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1489 ) @ SV390 ) ) )
= $true )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2108]) ).
thf(2166,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ SV360 @ SV383 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2109]) ).
thf(2167,plain,
! [SV178: com,SV54: com,SV217: list_char > int,SV397: list_char,SV126: list_char > int] :
( ( ( ( SV126 @ SV397 )
= ( SV217 @ SV397 ) )
= $true )
| ( ( SV54 = SV178 )
= $false )
| ( ( ( SV126 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) )
= ( SV217 @ ( sK52_SV326 @ SV178 @ SV54 @ SV217 @ SV126 ) ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2110]) ).
thf(2168,plain,
! [SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ SV283 @ SV287 ) )
= $true )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2113]) ).
thf(2169,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1494: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY1495: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1495 ) @ SV398 @ SY1494 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1494 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2114]) ).
thf(2170,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ( bval @ SV181 @ SV351 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2115]) ).
thf(2171,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ! [SY1490: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ SY1490 )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1490 ) @ SV253 ) ) )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2116]) ).
thf(2172,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( ~ ! [SY1491: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ SY1491 ) )
| ( ( size_s416147576yperep @ SY1491 )
!= SV137 ) ) )
= $true )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2117]) ).
thf(2173,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2118]) ).
thf(2174,plain,
! [SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV277: list_char > int,SV193: com,SV335: list_char > int,SV146: bexp] :
( ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 ) )
= $true )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2120]) ).
thf(2175,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2176,plain,
! [SV3: com,SV352: list_char > int,SV342: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2121]) ).
thf(2177,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2122]) ).
thf(2178,plain,
! [SV3: com,SV352: list_char > int,SV342: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2122]) ).
thf(2179,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2123]) ).
thf(2180,plain,
! [SV82: com,SV353: list_char > int,SV343: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2123]) ).
thf(2181,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2124]) ).
thf(2182,plain,
! [SV82: com,SV353: list_char > int,SV343: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2124]) ).
thf(2183,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2125]) ).
thf(2184,plain,
! [SV3: com,SV369: list_char > int,SV361: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2125]) ).
thf(2185,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2126]) ).
thf(2186,plain,
! [SV82: com,SV370: list_char > int,SV362: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2126]) ).
thf(2187,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2188,plain,
! [SV3: com,SV354: list_char > int,SV344: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2127]) ).
thf(2189,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2190,plain,
! [SV3: com,SV354: list_char > int,SV344: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2128]) ).
thf(2191,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2129]) ).
thf(2192,plain,
! [SV82: com,SV355: list_char > int,SV345: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2129]) ).
thf(2193,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2194,plain,
! [SV82: com,SV355: list_char > int,SV345: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2130]) ).
thf(2195,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2196,plain,
! [SV3: com,SV371: list_char > int,SV363: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2131]) ).
thf(2197,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2198,plain,
! [SV82: com,SV372: list_char > int,SV364: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2132]) ).
thf(2199,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2133]) ).
thf(2200,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2135]) ).
thf(2201,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2137]) ).
thf(2202,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2138]) ).
thf(2203,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2139]) ).
thf(2204,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2140]) ).
thf(2205,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2141]) ).
thf(2206,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV347: list_char > int,SV331: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV331 @ SV347 ) @ SV84 )
= $false )
| ( ( ( ^ [SY1387: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1387 ) @ SV5 ) )
= ( ^ [SY1388: list_char > int] : ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ SY1388 ) @ SV84 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2142]) ).
thf(2207,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2143]) ).
thf(2208,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2145]) ).
thf(2209,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2146]) ).
thf(2210,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2147]) ).
thf(2211,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2148]) ).
thf(2212,plain,
! [SV98: com,SV22: com,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ! [SY946: list_char > int,SY947: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SY946 ) @ SY947 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SY946 ) @ SY947 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2149]) ).
thf(2213,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2150]) ).
thf(2214,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2151]) ).
thf(2215,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2152]) ).
thf(2216,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2153]) ).
thf(2217,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( ! [SY1486: list_typerep] :
~ ~ ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ SY1486 ) )
| ( ( size_s416147576yperep @ SY1486 )
!= SV35 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2162]) ).
thf(2218,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1487: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ SY1487 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1487 ) @ SV359 ) ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2164]) ).
thf(2219,plain,
! [SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV390: list_char > int,SV382: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( ~ ! [SY1488: list_char > int] :
~ ~ ! [SY1489: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1488 @ SY1489 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1488 ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1489 ) @ SV390 ) ) )
= $true )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2165]) ).
thf(2220,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ SV360 @ SV383 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2166]) ).
thf(2221,plain,
! [SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2168]) ).
thf(2222,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1494: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY1495: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1495 ) @ SV398 @ SY1494 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1494 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2169]) ).
thf(2223,plain,
! [SV351: list_char > int,SV181: bexp,SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( ~ ( bval @ SV181 @ SV351 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2170]) ).
thf(2224,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ! [SY1490: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ SY1490 )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ SY1490 ) @ SV253 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2171]) ).
thf(2225,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( ! [SY1491: list_typerep] :
~ ~ ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ SY1491 ) )
| ( ( size_s416147576yperep @ SY1491 )
!= SV137 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2172]) ).
thf(2226,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2173]) ).
thf(2227,plain,
! [SV193: com,SV277: list_char > int,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV146: bexp] :
( ( ( ~ ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2173]) ).
thf(2228,plain,
! [SV277: list_char > int,SV289: list_char > int,SV335: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( ~ ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2174]) ).
thf(2229,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2175]) ).
thf(2230,plain,
! [SV3: com,SV352: list_char > int,SV342: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2176]) ).
thf(2231,plain,
! [SV82: com,SV352: list_char > int,SV342: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV342 ) @ SV352 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2177]) ).
thf(2232,plain,
! [SV3: com,SV352: list_char > int,SV342: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV342 ) @ SV352 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2178]) ).
thf(2233,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2179]) ).
thf(2234,plain,
! [SV82: com,SV353: list_char > int,SV343: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2180]) ).
thf(2235,plain,
! [SV3: com,SV353: list_char > int,SV343: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV343 ) @ SV353 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2181]) ).
thf(2236,plain,
! [SV82: com,SV353: list_char > int,SV343: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV343 ) @ SV353 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2182]) ).
thf(2237,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2183]) ).
thf(2238,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2184]) ).
thf(2239,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2185]) ).
thf(2240,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2186]) ).
thf(2241,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2187]) ).
thf(2242,plain,
! [SV3: com,SV354: list_char > int,SV344: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2188]) ).
thf(2243,plain,
! [SV82: com,SV354: list_char > int,SV344: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV344 ) @ SV354 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2189]) ).
thf(2244,plain,
! [SV3: com,SV354: list_char > int,SV344: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV344 ) @ SV354 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2190]) ).
thf(2245,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2191]) ).
thf(2246,plain,
! [SV82: com,SV355: list_char > int,SV345: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2192]) ).
thf(2247,plain,
! [SV3: com,SV355: list_char > int,SV345: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV345 ) @ SV355 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2193]) ).
thf(2248,plain,
! [SV82: com,SV355: list_char > int,SV345: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV345 ) @ SV355 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2194]) ).
thf(2249,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2195]) ).
thf(2250,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2196]) ).
thf(2251,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2197]) ).
thf(2252,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2198]) ).
thf(2253,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2199]) ).
thf(2254,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
| ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2200]) ).
thf(2255,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2200]) ).
thf(2256,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2257,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2201]) ).
thf(2258,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2202]) ).
thf(2259,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2202]) ).
thf(2260,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2207]) ).
thf(2261,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2208]) ).
thf(2262,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[2208]) ).
thf(2263,plain,
! [SV156: com,SV98: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2264,plain,
! [SV98: com,SV22: com,SV367: list_char > int,SV357: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2209]) ).
thf(2265,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2210]) ).
thf(2266,plain,
! [SV22: com,SV98: com,SV367: list_char > int,SV357: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2210]) ).
thf(2267,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2211]) ).
thf(2268,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2211]) ).
thf(2269,plain,
! [SV98: com,SV156: com,SV402: list_char > int,SV22: com] :
( ( ( ! [SY1496: list_char > int] :
( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SY1496 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SY1496 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2212]) ).
thf(2270,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2213]) ).
thf(2271,plain,
! [SV98: com,SV22: com,SV379: list_char > int,SV374: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2213]) ).
thf(2272,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2273,plain,
! [SV98: com,SV22: com,SV368: list_char > int,SV358: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2214]) ).
thf(2274,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2275,plain,
! [SV98: com,SV22: com,SV368: list_char > int,SV358: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2215]) ).
thf(2276,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2216]) ).
thf(2277,plain,
! [SV98: com,SV22: com,SV380: list_char > int,SV375: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2216]) ).
thf(2278,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( ~ ~ ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) ) )
| ( ( size_s416147576yperep @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) )
!= SV35 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2217]) ).
thf(2279,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) ) @ SV359 ) ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2218]) ).
thf(2280,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV390: list_char > int,SV271: com,SV382: list_char > int,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1488: list_char > int] :
~ ~ ! [SY1489: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1488 @ SY1489 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1488 ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1489 ) @ SV390 ) ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2219]) ).
thf(2281,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV125 @ SV360 @ SV383 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2220]) ).
thf(2282,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV273: com,SV283: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2221]) ).
thf(2283,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1494: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY1495: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1495 ) @ SV398 @ SY1494 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1494 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2222]) ).
thf(2284,plain,
! [SV220: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV181: bexp] :
( ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) ) )
= $true )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2223]) ).
thf(2285,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) ) @ SV253 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2224]) ).
thf(2286,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( ~ ~ ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) ) )
| ( ( size_s416147576yperep @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) )
!= SV137 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2225]) ).
thf(2287,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV193: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2226]) ).
thf(2288,plain,
! [SV193: com,SV277: list_char > int,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV146: bexp] :
( ( ( bval @ SV146 @ ( sK58_SY1406 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) )
= $true )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2227]) ).
thf(2289,plain,
! [SV335: list_char > int,SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
| ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2228]) ).
thf(2290,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2291,plain,
! [SV3: com,SV369: list_char > int,SV361: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2237]) ).
thf(2292,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2238]) ).
thf(2293,plain,
! [SV3: com,SV369: list_char > int,SV361: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2238]) ).
thf(2294,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2295,plain,
! [SV82: com,SV370: list_char > int,SV362: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2239]) ).
thf(2296,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2297,plain,
! [SV82: com,SV370: list_char > int,SV362: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2240]) ).
thf(2298,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2299,plain,
! [SV3: com,SV371: list_char > int,SV363: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2249]) ).
thf(2300,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2301,plain,
! [SV3: com,SV371: list_char > int,SV363: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2250]) ).
thf(2302,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2251]) ).
thf(2303,plain,
! [SV82: com,SV372: list_char > int,SV364: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2251]) ).
thf(2304,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2305,plain,
! [SV82: com,SV372: list_char > int,SV364: list_char > int,SV3: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2252]) ).
thf(2306,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2307,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2253]) ).
thf(2308,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) ) )
= $true )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2254]) ).
thf(2309,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2256]) ).
thf(2310,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2257]) ).
thf(2311,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2258]) ).
thf(2312,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV366: list_char > int,SV346: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV346 @ SV366 ) @ SV84 )
= $false )
| ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2259]) ).
thf(2313,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2260]) ).
thf(2314,plain,
! [SV98: com,SV22: com,SV387: list_char > int,SV378: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2260]) ).
thf(2315,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2261]) ).
thf(2316,plain,
! [SV156: com,SV98: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2263]) ).
thf(2317,plain,
! [SV98: com,SV22: com,SV367: list_char > int,SV357: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2264]) ).
thf(2318,plain,
! [SV98: com,SV156: com,SV367: list_char > int,SV357: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV357 ) @ SV367 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2265]) ).
thf(2319,plain,
! [SV22: com,SV98: com,SV367: list_char > int,SV357: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV357 ) @ SV367 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2266]) ).
thf(2320,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2267]) ).
thf(2321,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2269]) ).
thf(2322,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2270]) ).
thf(2323,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2271]) ).
thf(2324,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2272]) ).
thf(2325,plain,
! [SV98: com,SV22: com,SV368: list_char > int,SV358: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2273]) ).
thf(2326,plain,
! [SV98: com,SV156: com,SV368: list_char > int,SV358: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV358 ) @ SV368 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2274]) ).
thf(2327,plain,
! [SV98: com,SV22: com,SV368: list_char > int,SV358: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV358 ) @ SV368 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2275]) ).
thf(2328,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2276]) ).
thf(2329,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2277]) ).
thf(2330,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( ~ ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) ) )
| ( ( size_s416147576yperep @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) )
!= SV35 ) ) )
= $true )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2278]) ).
thf(2331,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) ) @ SV359 ) ) )
= $true )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2279]) ).
thf(2332,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1497: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ SY1497 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1497 ) @ SV390 ) ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2280]) ).
thf(2333,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ SV360 @ SV383 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2281]) ).
thf(2334,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1498: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1498 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1498 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2282]) ).
thf(2335,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2283]) ).
thf(2336,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV287: list_char > int,SV283: list_char > int,SV273: com,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV181: bexp,SV351: list_char > int,SV220: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) )
| ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2284]) ).
thf(2337,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) ) @ SV253 ) ) )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2285]) ).
thf(2338,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( ~ ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) ) )
| ( ( size_s416147576yperep @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) )
!= SV137 ) ) )
= $true )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2286]) ).
thf(2339,plain,
! [SV335: list_char > int,SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2289]) ).
thf(2340,plain,
! [SV335: list_char > int,SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ~ ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2289]) ).
thf(2341,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2290]) ).
thf(2342,plain,
! [SV3: com,SV369: list_char > int,SV361: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2291]) ).
thf(2343,plain,
! [SV82: com,SV369: list_char > int,SV361: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV361 ) @ SV369 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2292]) ).
thf(2344,plain,
! [SV3: com,SV369: list_char > int,SV361: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV361 ) @ SV369 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2293]) ).
thf(2345,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2294]) ).
thf(2346,plain,
! [SV82: com,SV370: list_char > int,SV362: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2295]) ).
thf(2347,plain,
! [SV3: com,SV370: list_char > int,SV362: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV362 ) @ SV370 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2296]) ).
thf(2348,plain,
! [SV82: com,SV370: list_char > int,SV362: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV362 ) @ SV370 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK16_SY693 @ SV82 @ SV3 ) ) @ ( sK25_SY1364 @ SV82 @ SV3 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2297]) ).
thf(2349,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2298]) ).
thf(2350,plain,
! [SV3: com,SV371: list_char > int,SV363: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2299]) ).
thf(2351,plain,
! [SV82: com,SV371: list_char > int,SV363: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV363 ) @ SV371 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2300]) ).
thf(2352,plain,
! [SV3: com,SV371: list_char > int,SV363: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV363 ) @ SV371 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2301]) ).
thf(2353,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2302]) ).
thf(2354,plain,
! [SV82: com,SV372: list_char > int,SV364: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2303]) ).
thf(2355,plain,
! [SV3: com,SV372: list_char > int,SV364: list_char > int,SV82: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ SV364 ) @ SV372 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2304]) ).
thf(2356,plain,
! [SV82: com,SV372: list_char > int,SV364: list_char > int,SV3: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ SV364 ) @ SV372 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV82 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV3 @ ( sK17_SY695 @ SV3 @ SV82 ) ) @ ( sK26_SY1365 @ SV3 @ SV82 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2305]) ).
thf(2357,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2306]) ).
thf(2358,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2307]) ).
thf(2359,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2308]) ).
thf(2360,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2313]) ).
thf(2361,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2314]) ).
thf(2362,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2315]) ).
thf(2363,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2320]) ).
thf(2364,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
| ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2321]) ).
thf(2365,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[2321]) ).
thf(2366,plain,
! [SV156: com,SV98: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2322]) ).
thf(2367,plain,
! [SV98: com,SV22: com,SV379: list_char > int,SV374: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2322]) ).
thf(2368,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2323]) ).
thf(2369,plain,
! [SV22: com,SV98: com,SV379: list_char > int,SV374: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2323]) ).
thf(2370,plain,
! [SV156: com,SV98: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2371,plain,
! [SV98: com,SV22: com,SV380: list_char > int,SV375: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2328]) ).
thf(2372,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2373,plain,
! [SV22: com,SV98: com,SV380: list_char > int,SV375: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2329]) ).
thf(2374,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) ) )
| ( ( size_s416147576yperep @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) )
!= SV35 ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2330]) ).
thf(2375,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) ) @ SV359 ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2331]) ).
thf(2376,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1497: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ SY1497 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1497 ) @ SV390 ) ) )
= $true )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2332]) ).
thf(2377,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ SV360 @ SV383 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2333]) ).
thf(2378,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1498: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1498 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1498 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2334]) ).
thf(2379,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2335]) ).
thf(2380,plain,
! [SV351: list_char > int,SV287: list_char > int,SV283: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2336]) ).
thf(2381,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) ) @ SV253 ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2337]) ).
thf(2382,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) ) )
| ( ( size_s416147576yperep @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) )
!= SV137 ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2338]) ).
thf(2383,plain,
! [SV335: list_char > int,SV289: list_char > int,SV277: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ ( suc @ SV230 ) @ SV277 @ SV289 )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2339]) ).
thf(2384,plain,
! [SV335: list_char > int,SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ~ ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2340]) ).
thf(2385,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2357]) ).
thf(2386,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2357]) ).
thf(2387,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2358]) ).
thf(2388,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2358]) ).
thf(2389,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2390,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $false )
| ( ( ~ ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) ) )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2359]) ).
thf(2391,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2360]) ).
thf(2392,plain,
! [SV98: com,SV22: com,SV387: list_char > int,SV378: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2360]) ).
thf(2393,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2361]) ).
thf(2394,plain,
! [SV98: com,SV22: com,SV387: list_char > int,SV378: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2361]) ).
thf(2395,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2396,plain,
! [SV98: com,SV22: com,SV400: list_char > int,SV394: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2362]) ).
thf(2397,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2398,plain,
! [SV98: com,SV22: com,SV401: list_char > int,SV395: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2363]) ).
thf(2399,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ~ ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) ) )
= $true )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2364]) ).
thf(2400,plain,
! [SV156: com,SV98: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2366]) ).
thf(2401,plain,
! [SV98: com,SV22: com,SV379: list_char > int,SV374: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2367]) ).
thf(2402,plain,
! [SV98: com,SV156: com,SV379: list_char > int,SV374: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV374 ) @ SV379 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2368]) ).
thf(2403,plain,
! [SV22: com,SV98: com,SV379: list_char > int,SV374: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV374 ) @ SV379 )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2369]) ).
thf(2404,plain,
! [SV156: com,SV98: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2370]) ).
thf(2405,plain,
! [SV98: com,SV22: com,SV380: list_char > int,SV375: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2371]) ).
thf(2406,plain,
! [SV98: com,SV156: com,SV380: list_char > int,SV375: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV375 ) @ SV380 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2372]) ).
thf(2407,plain,
! [SV22: com,SV98: com,SV380: list_char > int,SV375: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV375 ) @ SV380 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK34_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK39_SY1415 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2373]) ).
thf(2408,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( SV109
!= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) ) )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2374]) ).
thf(2409,plain,
! [SV109: list_typerep,SV305: list_typerep,SV285: typerep,SV35: nat] :
( ( ( ( size_s416147576yperep @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) )
!= SV35 )
= $false )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2374]) ).
thf(2410,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2375]) ).
thf(2411,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV359: list_char > int,SV349: list_char > int,SV216: com,SV271: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) ) @ SV359 ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2375]) ).
thf(2412,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1497: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ SY1497 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1497 ) @ SV390 ) ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2376]) ).
thf(2413,plain,
! [SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV383: list_char > int,SV360: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2377]) ).
thf(2414,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1498: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1498 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1498 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2378]) ).
thf(2415,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2379]) ).
thf(2416,plain,
! [SV351: list_char > int,SV287: list_char > int,SV283: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1343: list_char > int,SY1344: list_char > int] :
( ~ ( SV252 @ SY1343 @ SY1344 )
| ~ ! [SY1345: list_char > int] :
~ ~ ! [SY1346: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1345 @ SY1346 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1345 ) @ SY1343 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1346 ) @ SY1344 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2380]) ).
thf(2417,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2381]) ).
thf(2418,plain,
! [SV131: list_char > int,SV221: list_char > int,SV182: list_char > int,SV253: list_char > int,SV60: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c2 @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) ) @ SV253 ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2381]) ).
thf(2419,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( SV69
!= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) ) )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2382]) ).
thf(2420,plain,
! [SV69: list_typerep,SV309: list_typerep,SV288: typerep,SV137: nat] :
( ( ( ( size_s416147576yperep @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) )
!= SV137 )
= $false )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2382]) ).
thf(2421,plain,
! [SV335: list_char > int,SV289: list_char > int,SV230: nat,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV146: bexp,SV277: list_char > int,SV193: com] :
( ( ( ! [SY1406: list_char > int] :
~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SY1406 ) @ SV277 )
| ~ ( bval @ SV146 @ SY1406 ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SY1406 @ SV289 ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2384]) ).
thf(2422,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2385]) ).
thf(2423,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2386]) ).
thf(2424,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2387]) ).
thf(2425,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV385: list_char > int,SV373: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV373 @ SV385 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2388]) ).
thf(2426,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2389]) ).
thf(2427,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
| ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2390]) ).
thf(2428,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2391]) ).
thf(2429,plain,
! [SV98: com,SV22: com,SV387: list_char > int,SV378: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2392]) ).
thf(2430,plain,
! [SV98: com,SV156: com,SV387: list_char > int,SV378: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV378 ) @ SV387 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2393]) ).
thf(2431,plain,
! [SV98: com,SV22: com,SV387: list_char > int,SV378: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV378 ) @ SV387 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2394]) ).
thf(2432,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2395]) ).
thf(2433,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2396]) ).
thf(2434,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2397]) ).
thf(2435,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2398]) ).
thf(2436,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2399]) ).
thf(2437,plain,
! [SV35: nat,SV285: typerep,SV305: list_typerep,SV109: list_typerep] :
( ( ( SV109
= ( cons_typerep @ ( sK61_SY761 @ SV305 @ SV285 @ SV35 @ SV109 ) @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) ) )
= $true )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2408]) ).
thf(2438,plain,
! [SV109: list_typerep,SV305: list_typerep,SV285: typerep,SV35: nat] :
( ( ( ( size_s416147576yperep @ ( sK65_SY1486 @ SV35 @ SV285 @ SV305 @ SV109 ) )
= SV35 )
= $true )
| ( ( SV109
= ( cons_typerep @ SV285 @ SV305 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV305 )
= SV35 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2409]) ).
thf(2439,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) ) )
= $true )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2410]) ).
thf(2440,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV359: list_char > int,SV349: list_char > int,SV216: com,SV271: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) ) @ SV359 )
= $true )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2411]) ).
thf(2441,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) ) @ SV390 ) ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2412]) ).
thf(2442,plain,
! [SV383: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV360: list_char > int,SV216: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) ) )
= $true )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2413]) ).
thf(2443,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2414]) ).
thf(2444,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2415]) ).
thf(2445,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1500: list_char > int] :
( ~ ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ SY1500 )
| ~ ! [SY1501: list_char > int] :
~ ~ ! [SY1502: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1501 @ SY1502 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1501 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1502 ) @ SY1500 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2416]) ).
thf(2446,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) ) )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2417]) ).
thf(2447,plain,
! [SV131: list_char > int,SV221: list_char > int,SV182: list_char > int,SV253: list_char > int,SV60: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) ) @ SV253 )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2418]) ).
thf(2448,plain,
! [SV137: nat,SV288: typerep,SV309: list_typerep,SV69: list_typerep] :
( ( ( SV69
= ( cons_typerep @ ( sK64_SY895 @ SV309 @ SV288 @ SV137 @ SV69 ) @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) ) )
= $true )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2419]) ).
thf(2449,plain,
! [SV69: list_typerep,SV309: list_typerep,SV288: typerep,SV137: nat] :
( ( ( ( size_s416147576yperep @ ( sK68_SY1491 @ SV137 @ SV288 @ SV309 @ SV69 ) )
= SV137 )
= $true )
| ( ( SV69
= ( cons_typerep @ SV288 @ SV309 ) )
= $false )
| ( ( ( size_s416147576yperep @ SV309 )
= SV137 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2420]) ).
thf(2450,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2421]) ).
thf(2451,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2452,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2426]) ).
thf(2453,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2454,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( ~ ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 ) )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2427]) ).
thf(2455,plain,
! [SV156: com,SV98: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2456,plain,
! [SV98: com,SV22: com,SV400: list_char > int,SV394: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2432]) ).
thf(2457,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2458,plain,
! [SV22: com,SV98: com,SV400: list_char > int,SV394: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2433]) ).
thf(2459,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2460,plain,
! [SV98: com,SV22: com,SV401: list_char > int,SV395: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2434]) ).
thf(2461,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2462,plain,
! [SV98: com,SV22: com,SV401: list_char > int,SV395: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2435]) ).
thf(2463,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2436]) ).
thf(2464,plain,
! [SV98: com,SV22: com,SV403: list_char > int,SV402: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $false )
| ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2436]) ).
thf(2465,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2439]) ).
thf(2466,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) ) @ SV390 ) ) )
= $true )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2441]) ).
thf(2467,plain,
! [SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV383: list_char > int,SV271: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( ~ ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2442]) ).
thf(2468,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2443]) ).
thf(2469,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2444]) ).
thf(2470,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
| ~ ! [SY1504: list_char > int] :
~ ~ ! [SY1505: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1504 @ SY1505 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1504 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1505 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2445]) ).
thf(2471,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2446]) ).
thf(2472,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) ) )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2450]) ).
thf(2473,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2451]) ).
thf(2474,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2452]) ).
thf(2475,plain,
! [SV84: set_Pr1148378109ar_int,SV5: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV5 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2453]) ).
thf(2476,plain,
! [SV5: set_Pr1148378109ar_int,SV84: set_Pr1148378109ar_int,SV399: list_char > int,SV386: com] :
( ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $true )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ SV386 @ SV399 ) @ SV84 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV5 )
= $false )
| ( ( member92250950ar_int @ ( produc1193801173ar_int @ ( sK27_SV278 @ SV84 @ SV5 ) @ ( sK31_SV290 @ SV5 @ SV84 ) ) @ SV84 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2454]) ).
thf(2477,plain,
! [SV156: com,SV98: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2455]) ).
thf(2478,plain,
! [SV98: com,SV22: com,SV400: list_char > int,SV394: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2456]) ).
thf(2479,plain,
! [SV98: com,SV156: com,SV400: list_char > int,SV394: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV394 ) @ SV400 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2457]) ).
thf(2480,plain,
! [SV22: com,SV98: com,SV400: list_char > int,SV394: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV394 ) @ SV400 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK47_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK54_SY1439 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2458]) ).
thf(2481,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2459]) ).
thf(2482,plain,
! [SV98: com,SV22: com,SV401: list_char > int,SV395: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2460]) ).
thf(2483,plain,
! [SV98: com,SV156: com,SV401: list_char > int,SV395: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV395 ) @ SV401 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2461]) ).
thf(2484,plain,
! [SV98: com,SV22: com,SV401: list_char > int,SV395: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV395 ) @ SV401 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2462]) ).
thf(2485,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2463]) ).
thf(2486,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2464]) ).
thf(2487,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2465]) ).
thf(2488,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV216: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 ) )
= $false )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2465]) ).
thf(2489,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) ) @ SV390 ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2466]) ).
thf(2490,plain,
! [SV383: list_char > int,SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
| ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2467]) ).
thf(2491,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2468]) ).
thf(2492,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2469]) ).
thf(2493,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2494,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1504: list_char > int] :
~ ~ ! [SY1505: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1504 @ SY1505 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1504 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1505 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2470]) ).
thf(2495,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2471]) ).
thf(2496,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2471]) ).
thf(2497,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
| ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2472]) ).
thf(2498,plain,
! [SV156: com,SV98: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2485]) ).
thf(2499,plain,
! [SV98: com,SV22: com,SV403: list_char > int,SV402: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2485]) ).
thf(2500,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2501,plain,
! [SV22: com,SV98: com,SV403: list_char > int,SV402: list_char > int,SV156: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2486]) ).
thf(2502,plain,
! [SV216: com,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV125 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) @ ( sK66_SY1487 @ SV216 @ SV349 @ SV271 @ SV359 @ SV286 @ SV125 ) )
= $true )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2487]) ).
thf(2503,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV349: list_char > int,SV271: com,SV359: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV216: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK62_SY1458 @ SV286 @ SV359 @ SV271 @ SV349 @ SV216 @ SV125 ) ) @ SV349 )
= $true )
| ( ( SV286 @ SV349 @ SV359 )
= $false )
| ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2488]) ).
thf(2504,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2489]) ).
thf(2505,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV390: list_char > int,SV382: list_char > int,SV216: com,SV271: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) ) @ SV390 ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2489]) ).
thf(2506,plain,
! [SV383: list_char > int,SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2490]) ).
thf(2507,plain,
! [SV383: list_char > int,SV360: list_char > int,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2490]) ).
thf(2508,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2491]) ).
thf(2509,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2491]) ).
thf(2510,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2492]) ).
thf(2511,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV181: bexp,SV220: com,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2493]) ).
thf(2512,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1504: list_char > int] :
~ ~ ! [SY1505: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY862: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY862 ) @ SY1504 @ SY1505 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1504 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1505 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2494]) ).
thf(2513,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) ) )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2495]) ).
thf(2514,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( big_big_step @ ( produc1193801173ar_int @ c @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) @ SV60 )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2496]) ).
thf(2515,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2516,plain,
! [SV277: list_char > int,SV289: list_char > int,SV335: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2497]) ).
thf(2517,plain,
! [SV156: com,SV98: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2498]) ).
thf(2518,plain,
! [SV98: com,SV22: com,SV403: list_char > int,SV402: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2499]) ).
thf(2519,plain,
! [SV98: com,SV156: com,SV403: list_char > int,SV402: list_char > int,SV22: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ SV402 ) @ SV403 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2500]) ).
thf(2520,plain,
! [SV22: com,SV98: com,SV403: list_char > int,SV402: list_char > int,SV156: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ SV402 ) @ SV403 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV156 @ ( sK56_SY944 @ SV22 @ SV156 @ SV98 ) ) @ ( sK57_SY1452 @ SV156 @ SV22 @ SV98 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV22 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV98 @ ( sK7_SY722 @ SV156 @ SV98 @ SV22 ) ) @ ( sK18_SY1306 @ SV98 @ SV156 @ SV22 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2501]) ).
thf(2521,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) ) )
= $true )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2504]) ).
thf(2522,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV390: list_char > int,SV382: list_char > int,SV216: com,SV271: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) ) @ SV390 )
= $true )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2505]) ).
thf(2523,plain,
! [SV383: list_char > int,SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati775585786_valid @ SV125 @ SV216 @ SV271 @ SV286 )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2506]) ).
thf(2524,plain,
! [SV383: list_char > int,SV360: list_char > int,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1390: list_char > int,SY1391: list_char > int] :
( ~ ( SV286 @ SY1390 @ SY1391 )
| ~ ! [SY1335: list_char > int] :
~ ~ ! [SY1336: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1335 @ SY1336 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1335 ) @ SY1390 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1336 ) @ SY1391 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2507]) ).
thf(2525,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2508]) ).
thf(2526,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) ) @ SV287 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2509]) ).
thf(2527,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2510]) ).
thf(2528,plain,
! [SV351: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ SV283 @ SV287 ) )
= $true )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2511]) ).
thf(2529,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1507: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY1508: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1508 ) @ SV405 @ SY1507 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1507 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2512]) ).
thf(2530,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
| ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2513]) ).
thf(2531,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) ) )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2515]) ).
thf(2532,plain,
! [SV277: list_char > int,SV289: list_char > int,SV335: list_char > int,SV230: nat,SV193: com,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) @ SV289 )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2516]) ).
thf(2533,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2521]) ).
thf(2534,plain,
! [SV383: list_char > int,SV360: list_char > int,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV406: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1509: list_char > int] :
( ~ ( SV286 @ SV406 @ SY1509 )
| ~ ! [SY1510: list_char > int] :
~ ~ ! [SY1511: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1510 @ SY1511 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1510 ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1511 ) @ SY1509 ) ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2524]) ).
thf(2535,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2525]) ).
thf(2536,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1499: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1499 ) @ SV398 @ SV404 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2527]) ).
thf(2537,plain,
! [SV351: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2528]) ).
thf(2538,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1507: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY1508: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1508 ) @ SV405 @ SY1507 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1507 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2529]) ).
thf(2539,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2540,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( ~ ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) ) )
= $false )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2530]) ).
thf(2541,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
| ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2531]) ).
thf(2542,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2533]) ).
thf(2543,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV216: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 ) )
= $false )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2533]) ).
thf(2544,plain,
! [SV383: list_char > int,SV360: list_char > int,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV407: list_char > int,SV406: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ SV406 @ SV407 )
| ~ ! [SY1512: list_char > int] :
~ ~ ! [SY1513: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1512 @ SY1513 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1512 ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1513 ) @ SV407 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2534]) ).
thf(2545,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2535]) ).
thf(2546,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2535]) ).
thf(2547,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV408: nat,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[2536]) ).
thf(2548,plain,
! [SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV273: com,SV283: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2537]) ).
thf(2549,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1507: list_char > int] :
~ ~ ( ~ ~ ( ~ ~ ! [SY1508: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1508 ) @ SV405 @ SY1507 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1507 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2538]) ).
thf(2550,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( relati23543761ar_int @ p @ b @ c @ ka @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) @ ( sK67_SY1490 @ SV60 @ SV253 @ SV182 @ SV221 @ SV131 ) )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2539]) ).
thf(2551,plain,
! [SV60: list_char > int,SV253: list_char > int,SV182: list_char > int,SV221: list_char > int,SV131: list_char > int] :
( ( ( bval @ b @ ( sK63_SY1282 @ SV131 @ SV221 @ SV182 @ SV253 @ SV60 ) )
= $true )
| ( ( relati23543761ar_int @ p @ b @ c @ ka @ SV182 @ SV221 )
= $false )
| ( ( bval @ b @ SV182 )
= $false )
| ( ( q @ SV131 @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c2 @ SV221 ) @ SV253 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ c @ SV182 ) @ SV60 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ b @ c ) @ SV60 ) @ SV131 )
= $false )
| ( ( relati775585786_valid @ ( relati23543761ar_int @ p @ b @ c @ ka ) @ ( while @ b @ c ) @ c2 @ q )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2540]) ).
thf(2552,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2541]) ).
thf(2553,plain,
! [SV193: com,SV277: list_char > int,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV146: bexp] :
( ( ( ~ ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) )
= $false )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2541]) ).
thf(2554,plain,
! [SV216: com,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV125 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) @ ( sK71_SY1497 @ SV216 @ SV382 @ SV271 @ SV390 @ SV286 @ SV125 ) )
= $true )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2542]) ).
thf(2555,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV382: list_char > int,SV271: com,SV390: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV216: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK69_SY1488 @ SV286 @ SV390 @ SV271 @ SV382 @ SV216 @ SV125 ) ) @ SV382 )
= $true )
| ( ( SV286 @ SV382 @ SV390 )
= $false )
| ( ( SV286 @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2543]) ).
thf(2556,plain,
! [SV383: list_char > int,SV360: list_char > int,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV407: list_char > int,SV406: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV286 @ SV406 @ SV407 ) )
= $true )
| ( ( ~ ! [SY1512: list_char > int] :
~ ~ ! [SY1513: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1512 @ SY1513 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1512 ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1513 ) @ SV407 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2544]) ).
thf(2557,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ SV130 @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK72_SY1498 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV130 @ SV59 ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2545]) ).
thf(2558,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV220: com,SV181: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK70_SY1403 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2546]) ).
thf(2559,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV220: com,SV181: bexp,SV404: list_char > int,SV398: list_char > int,SV408: nat,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2547]) ).
thf(2560,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1514: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1514 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1514 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2548]) ).
thf(2561,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2549]) ).
thf(2562,plain,
! [SV277: list_char > int,SV146: bexp,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV193: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) ) @ SV277 )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2552]) ).
thf(2563,plain,
! [SV193: com,SV277: list_char > int,SV78: ( list_char > int ) > ( list_char > int ) > $o,SV230: nat,SV289: list_char > int,SV335: list_char > int,SV146: bexp] :
( ( ( bval @ SV146 @ ( sK74_SY1406 @ SV335 @ SV289 @ SV230 @ SV78 @ SV146 @ SV277 @ SV193 ) )
= $true )
| ( ( bval @ SV146 @ SV335 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV193 @ SV335 ) @ SV277 )
= $false )
| ( ( relati23543761ar_int @ SV78 @ SV146 @ SV193 @ SV230 @ SV335 @ SV289 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2553]) ).
thf(2564,plain,
! [SV383: list_char > int,SV360: list_char > int,SV271: com,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o,SV407: list_char > int,SV406: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( ~ ! [SY1512: list_char > int] :
~ ~ ! [SY1513: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1512 @ SY1513 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1512 ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1513 ) @ SV407 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2556]) ).
thf(2565,plain,
! [SV404: list_char > int,SV408: nat,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV273: com,SV283: list_char > int,SV287: list_char > int,SV398: list_char > int,SV220: com,SV181: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2559]) ).
thf(2566,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1514: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1514 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1514 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2560]) ).
thf(2567,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2561]) ).
thf(2568,plain,
! [SV383: list_char > int,SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV407: list_char > int,SV271: com,SV406: list_char > int,SV216: com,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1512: list_char > int] :
~ ~ ! [SY1513: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ SY1512 @ SY1513 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SY1512 ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1513 ) @ SV407 ) ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2564]) ).
thf(2569,plain,
! [SV398: list_char > int,SV408: nat,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV404: list_char > int,SV273: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2565]) ).
thf(2570,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1514: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1514 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1514 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2566]) ).
thf(2571,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2567]) ).
thf(2572,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1516: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ SY1516 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1516 ) @ SV407 ) ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2568]) ).
thf(2573,plain,
! [SV404: list_char > int,SV408: nat,SV398: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ SV283 @ SV287 ) )
= $true )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[2569]) ).
thf(2574,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2570]) ).
thf(2575,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2571]) ).
thf(2576,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1516: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ SY1516 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1516 ) @ SV407 ) ) )
= $true )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2572]) ).
thf(2577,plain,
! [SV404: list_char > int,SV408: nat,SV398: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2573]) ).
thf(2578,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2574]) ).
thf(2579,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2575]) ).
thf(2580,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1516: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ SY1516 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SY1516 ) @ SV407 ) ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2576]) ).
thf(2581,plain,
! [SV404: list_char > int,SV408: nat,SV398: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV273: com,SV283: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2577]) ).
thf(2582,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2578]) ).
thf(2583,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2579]) ).
thf(2584,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) ) @ SV407 ) ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2580]) ).
thf(2585,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1517: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1517 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1517 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2581]) ).
thf(2586,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2582]) ).
thf(2587,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2582]) ).
thf(2588,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2583]) ).
thf(2589,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) ) @ SV407 ) ) )
= $true )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2584]) ).
thf(2590,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1517: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1517 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1517 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2585]) ).
thf(2591,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2586]) ).
thf(2592,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV351: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) ) @ SV287 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2587]) ).
thf(2593,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 ) )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2588]) ).
thf(2594,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) ) @ SV407 ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2589]) ).
thf(2595,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1517: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1517 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1517 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2590]) ).
thf(2596,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2591]) ).
thf(2597,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1515: nat] :
~ ( SV59 @ ( plus_plus_nat @ SV130 @ SY1515 ) @ SV405 @ SV409 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2593]) ).
thf(2598,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2594]) ).
thf(2599,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV383: list_char > int,SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV407: list_char > int,SV406: list_char > int,SV216: com,SV271: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) ) @ SV407 ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2594]) ).
thf(2600,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[2595]) ).
thf(2601,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2596]) ).
thf(2602,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV220: com,SV181: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2596]) ).
thf(2603,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV410: nat,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[2597]) ).
thf(2604,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) ) )
= $true )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2598]) ).
thf(2605,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV383: list_char > int,SV360: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV407: list_char > int,SV406: list_char > int,SV216: com,SV271: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) ) @ SV407 )
= $true )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2599]) ).
thf(2606,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2600]) ).
thf(2607,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ SV130 @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK78_SY1514 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV351 @ SV130 @ SV59 ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2601]) ).
thf(2608,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV220: com,SV181: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK76_SY1403 @ SV351 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( SV252 @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2602]) ).
thf(2609,plain,
! [SV252: ( list_char > int ) > ( list_char > int ) > $o,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV220: com,SV181: bexp,SV409: list_char > int,SV405: list_char > int,SV410: nat,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) ) )
= $true )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2603]) ).
thf(2610,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2604]) ).
thf(2611,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2606]) ).
thf(2612,plain,
! [SV409: list_char > int,SV410: nat,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV273: com,SV283: list_char > int,SV287: list_char > int,SV351: list_char > int,SV405: list_char > int,SV220: com,SV181: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) ) )
= $true )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2609]) ).
thf(2613,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2614,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV216: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 ) )
= $false )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2610]) ).
thf(2615,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2611]) ).
thf(2616,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV404: list_char > int,SV408: nat,SV398: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2611]) ).
thf(2617,plain,
! [SV405: list_char > int,SV410: nat,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV351: list_char > int,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV409: list_char > int,SV273: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( ~ ( SV252 @ SV283 @ SV287 )
| ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2612]) ).
thf(2618,plain,
! [SV216: com,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV125: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV125 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) @ ( sK79_SY1516 @ SV216 @ SV406 @ SV271 @ SV407 @ SV286 @ SV360 @ SV383 @ SV125 ) )
= $true )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2613]) ).
thf(2619,plain,
! [SV125: ( list_char > int ) > ( list_char > int ) > $o,SV406: list_char > int,SV271: com,SV407: list_char > int,SV286: ( list_char > int ) > ( list_char > int ) > $o,SV360: list_char > int,SV383: list_char > int,SV216: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ ( sK77_SY1512 @ SV383 @ SV360 @ SV286 @ SV407 @ SV271 @ SV406 @ SV216 @ SV125 ) ) @ SV406 )
= $true )
| ( ( SV286 @ SV406 @ SV407 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV216 @ SV360 ) @ ( sK44_SY1390 @ SV271 @ SV216 @ SV125 @ SV286 ) )
= $false )
| ( ( SV125 @ SV360 @ SV383 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV271 @ SV383 ) @ ( sK51_SY1433 @ SV125 @ SV216 @ SV271 @ SV286 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2614]) ).
thf(2620,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2615]) ).
thf(2621,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV404: list_char > int,SV408: nat,SV398: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) ) @ SV287 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2616]) ).
thf(2622,plain,
! [SV409: list_char > int,SV410: nat,SV351: list_char > int,SV405: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV252 @ SV283 @ SV287 ) )
= $true )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[2617]) ).
thf(2623,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[2620]) ).
thf(2624,plain,
! [SV409: list_char > int,SV410: nat,SV351: list_char > int,SV405: list_char > int,SV273: com,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( ~ ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $true )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2622]) ).
thf(2625,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2623]) ).
thf(2626,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV220: com,SV181: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[2623]) ).
thf(2627,plain,
! [SV409: list_char > int,SV410: nat,SV351: list_char > int,SV405: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV273: com,SV283: list_char > int,SV220: com,SV181: bexp,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1403: list_char > int] :
~ ~ ! [SY1404: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ SY1403 @ SY1404 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SY1403 ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1404 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2624]) ).
thf(2628,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ SV130 @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK81_SY1517 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV398 @ SV408 @ SV404 @ SV130 @ SV59 ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2625]) ).
thf(2629,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV398: list_char > int,SV408: nat,SV404: list_char > int,SV220: com,SV181: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK80_SY1403 @ SV404 @ SV408 @ SV398 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV398 ) @ ( sK59_SY1343 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV408 ) @ SV398 @ SV404 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV404 ) @ ( sK60_SY1467 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( suc @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[2626]) ).
thf(2630,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ! [SY1518: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1518 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1518 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2627]) ).
thf(2631,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ! [SY1518: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1518 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1518 ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2630]) ).
thf(2632,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ! [SY1518: list_char > int] :
~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ SY1518 )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SY1518 ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2631]) ).
thf(2633,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[2632]) ).
thf(2634,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) ) @ SV287 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2633]) ).
thf(2635,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2634]) ).
thf(2636,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2635]) ).
thf(2637,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV409: list_char > int,SV410: nat,SV351: list_char > int,SV405: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) ) @ SV287 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2635]) ).
thf(2638,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2636]) ).
thf(2639,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV409: list_char > int,SV410: nat,SV351: list_char > int,SV405: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV287: list_char > int,SV283: list_char > int,SV220: com,SV181: bexp,SV273: com] :
( ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) ) @ SV287 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2637]) ).
thf(2640,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
| ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[2638]) ).
thf(2641,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( ~ ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2640]) ).
thf(2642,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV220: com,SV181: bexp] :
( ( ( ~ ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 ) )
= $false )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[2640]) ).
thf(2643,plain,
! [SV181: bexp,SV220: com,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV130: nat,SV59: nat > ( list_char > int ) > ( list_char > int ) > $o] :
( ( ( SV59 @ SV130 @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) @ ( sK83_SY1518 @ SV181 @ SV220 @ SV283 @ SV273 @ SV287 @ SV252 @ SV405 @ SV351 @ SV410 @ SV409 @ SV130 @ SV59 ) )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2641]) ).
thf(2644,plain,
! [SV59: nat > ( list_char > int ) > ( list_char > int ) > $o,SV130: nat,SV283: list_char > int,SV273: com,SV287: list_char > int,SV252: ( list_char > int ) > ( list_char > int ) > $o,SV405: list_char > int,SV351: list_char > int,SV410: nat,SV409: list_char > int,SV220: com,SV181: bexp] :
( ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ ( sK82_SY1403 @ SV409 @ SV410 @ SV351 @ SV405 @ SV252 @ SV287 @ SV273 @ SV283 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV283 )
= $true )
| ( ( SV252 @ SV283 @ SV287 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ ( while @ SV181 @ SV220 ) @ SV405 ) @ ( sK73_SY1343 @ SV351 @ SV287 @ SV283 @ SV273 @ SV220 @ SV181 @ SV130 @ SV59 @ SV252 ) )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ SV410 ) @ SV405 @ SV409 )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV273 @ SV409 ) @ ( sK75_SY1500 @ SV59 @ SV130 @ SV181 @ SV220 @ SV273 @ SV283 @ SV287 @ SV351 @ SV252 ) )
= $false )
| ( ( bval @ SV181 @ SV351 )
= $false )
| ( ( SV59 @ ( plus_plus_nat @ SV130 @ ( sK37_SY1174 @ SV287 @ SV283 @ SV273 @ SV252 @ SV220 @ SV181 @ SV130 @ SV59 ) ) @ SV351 @ ( sK45_SY1424 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false )
| ( ( big_big_step @ ( produc1193801173ar_int @ SV220 @ SV351 ) @ ( sK42_SY1417 @ SV181 @ SV220 @ SV252 @ SV273 @ SV283 @ SV287 @ SV130 @ SV59 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[2642]) ).
thf(2645,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[317,2644,2643,2639,2629,2628,2621,2619,2618,2608,2607,2605,2592,2563,2562,2558,2557,2555,2554,2551,2550,2532,2526,2523,2522,2520,2519,2518,2517,2514,2503,2502,2484,2483,2482,2481,2480,2479,2478,2477,2476,2475,2474,2473,2449,2448,2447,2440,2438,2437,2431,2430,2429,2428,2425,2424,2423,2422,2407,2406,2405,2404,2403,2402,2401,2400,2383,2365,2356,2355,2354,2353,2352,2351,2350,2349,2348,2347,2346,2345,2344,2343,2342,2341,2327,2326,2325,2324,2319,2318,2317,2316,2312,2311,2310,2309,2288,2287,2268,2262,2255,2248,2247,2246,2245,2244,2243,2242,2241,2236,2235,2234,2233,2232,2231,2230,2229,2206,2205,2204,2203,2167,2163,2161,2160,2159,2158,2157,2156,2155,2154,2144,2136,2134,2119,2112,2111,2106,2105,2103,2102,2101,2100,2099,2098,2097,2096,2086,2083,2076,2075,2074,2073,2072,2071,2070,2069,2068,2067,2066,2065,2059,2058,2057,2056,2055,2054,2053,2052,2045,2044,2043,2042,2041,2040,2039,2038,2023,2020,2016,2013,2001,2000,1999,1998,1979,1978,1977,1976,1968,1966,1956,1954,1942,1940,1933,1928,1923,1920,1912,1902,1897,1889,1881,1879,1856,1855,1835,1834,1809,1801,1799,1791,1789,1777,1773,1772,1769,1761,1760,1759,1758,1754,1738,1736,1733,1711,1708,1704,1703,1699,1696,1693,1692,1691,1690,1683,1679,1670,1669,1668,1667,1644,1643,1640,1633,1628,1624,1623,1619,1604,1592,1591,1588,1586,1584,1580,1578,1573,1571,1563,1555,1551,1547,1546,1544,1537,1535,1533,1525,1515,1513,1510,1508,1505,1504,1503,1502,1501,1500,1499,1498,1497,1493,1471,1417,1415,1413,1384,1369,1353,1352,1351,1350,1349,1348,1346,1343,1319,1317,1312,1311,1307,1301,1297,1284,1283,1282,1281,1274,1271,1270,1268,1253,1251,1247,1246,1238,1220,1199,1196,1194,1192,1188,1187,1186,1185,1178,1176,1174,1169,1167,1161,1158,1155,1150,1147,1143,1140,1136,1135,1133,1124,1111,1110,1096,1095,1094,1093,1092,1091,1090,1089,1086,1085,1075,1071,1063,1059,1058,1043,1041,1030,1029,1025,1002,996,992,989,984,981,977,972,960,956,953,927,899,897,894,881,871,867,854,852,843,834,831,829,820,815,808,791,775,724,717,711,702,687,671,669,654,649,644,642,639,637,635,633,621,617,607,603,588,575,568,563,562,560,552,526,483,328,327,326,325,324,323,322,321,320,319,318]) ).
thf(2646,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[2645]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ITP166^1 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.03 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.17 % Computer : n001.cluster.edu
% 0.11/0.17 % Model : x86_64 x86_64
% 0.11/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.17 % Memory : 8046.5625MB
% 0.11/0.17 % OS : Linux 6.8.0-71-generic
% 0.11/0.17 % CPULimit : 300
% 0.11/0.17 % WCLimit : 300
% 0.11/0.17 % DateTime : Tue Oct 6 11:25:08 UTC 2026
% 0.11/0.17 % CPUTime :
% 0.11/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 71.55/14.61 .
% 71.55/14.61
% 71.55/14.61 No.of.Axioms: 91
% 71.55/14.61
% 71.55/14.61 Length.of.Defs: 0
% 71.55/14.61
% 71.55/14.61 Contains.Choice.Funs: false
% 71.55/14.61 ................................................................................................................
% 71.55/14.61
% 71.55/14.61 ********************************
% 71.55/14.61 * All subproblems solved! *
% 71.55/14.61 ********************************
% 71.55/14.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:91,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2645,loop_count:0,foatp_calls:1,translation:fof_full)
% 71.55/14.61
% 71.55/14.61 %**** Beginning of derivation protocol ****
% 71.55/14.61 % SZS output start CNFRefutation
% See solution above
% 71.55/14.63
% 71.55/14.63 %**** End of derivation protocol ****
% 71.55/14.63 %**** no. of clauses in derivation: 2516 ****
% 71.55/14.63 %**** clause counter: 2645 ****
% 71.55/14.63
% 71.55/14.63 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:91,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:2645,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------