%------------------------------------------------------------------------------
% File : Leo-III---1.8.0
% Problem : SWW478^3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% Computer : n013.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 Sep 30 08:40:16 AM UTC 2026
% Result : Theorem 49.63s 13.02s
% Output : Refutation 53.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 785
% Syntax : Number of formulae : 1572 ( 635 unt; 0 typ; 0 def)
% Number of atoms : 4941 (1572 equ; 0 cnn)
% Maximal formula atoms : 19 ( 3 avg)
% Number of connectives : 22505 ( 700 ~; 26 |; 120 &;19843 @)
% ( 0 <=>;1816 =>; 0 <=; 0 <~>)
% Maximal formula depth : 40 ( 11 avg)
% Number of types : 67 ( 66 usr)
% Number of type conns : 1892 (1892 >; 0 *; 0 +; 0 <<)
% Number of symbols : 191 ( 188 usr; 24 con; 0-7 aty)
% Number of variables : 7608 ( 70 ^;7480 !; 58 ?;7608 :)
% Comments :
%------------------------------------------------------------------------------
thf(bop_type,type,
bop: $tType ).
thf(exp_list_char_type,type,
exp_list_char: $tType ).
thf(list_exp_list_char_type,type,
list_exp_list_char: $tType ).
thf(list_list_char_type,type,
list_list_char: $tType ).
thf(list_option_ty_type,type,
list_option_ty: $tType ).
thf(list_char_type,type,
list_char: $tType ).
thf(list_ty_type,type,
list_ty: $tType ).
thf(list_val_type,type,
list_val: $tType ).
thf(list_P1940453997har_ty_type,type,
list_P1940453997har_ty: $tType ).
thf(list_P1999446415t_char_type,type,
list_P1999446415t_char: $tType ).
thf(list_P341299826t_char_type,type,
list_P341299826t_char: $tType ).
thf(list_P2023964830har_ty_type,type,
list_P2023964830har_ty: $tType ).
thf(nat_type,type,
nat: $tType ).
thf(option_list_char_o_type,type,
option_list_char_o: $tType ).
thf(option_nat_type,type,
option_nat: $tType ).
thf(option_ty_type,type,
option_ty: $tType ).
thf(option_val_type,type,
option_val: $tType ).
thf(option1728594148on_val_type,type,
option1728594148on_val: $tType ).
thf(ty_type,type,
ty: $tType ).
thf(val_type,type,
val: $tType ).
thf(produc774316953on_val_type,type,
produc774316953on_val: $tType ).
thf(produc2090907612on_val_type,type,
produc2090907612on_val: $tType ).
thf(produc1287081631on_val_type,type,
produc1287081631on_val: $tType ).
thf(produc688860215on_val_type,type,
produc688860215on_val: $tType ).
thf(product_prod_bop_bop_type,type,
product_prod_bop_bop: $tType ).
thf(produc1645268488al_val_type,type,
produc1645268488al_val: $tType ).
thf(produc2048519645t_char_type,type,
produc2048519645t_char: $tType ).
thf(produc1282892786on_val_type,type,
produc1282892786on_val: $tType ).
thf(produc91527719t_char_type,type,
produc91527719t_char: $tType ).
thf(produc1180562163on_val_type,type,
produc1180562163on_val: $tType ).
thf(produc809539159t_char_type,type,
produc809539159t_char: $tType ).
thf(produc1200003175t_char_type,type,
produc1200003175t_char: $tType ).
thf(produc1285161482t_char_type,type,
produc1285161482t_char: $tType ).
thf(produc2088785539on_val_type,type,
produc2088785539on_val: $tType ).
thf(produc1278157519t_char_type,type,
produc1278157519t_char: $tType ).
thf(produc917948472har_ty_type,type,
produc917948472har_ty: $tType ).
thf(produc1971331930t_char_type,type,
produc1971331930t_char: $tType ).
thf(produc1013743697t_char_type,type,
produc1013743697t_char: $tType ).
thf(produc952412819t_char_type,type,
produc952412819t_char: $tType ).
thf(produc1420746395ist_ty_type,type,
produc1420746395ist_ty: $tType ).
thf(produc220283002t_char_type,type,
produc220283002t_char: $tType ).
thf(produc1025221954t_char_type,type,
produc1025221954t_char: $tType ).
thf(produc662261637t_char_type,type,
produc662261637t_char: $tType ).
thf(produc753553453st_val_type,type,
produc753553453st_val: $tType ).
thf(produc450000425har_ty_type,type,
produc450000425har_ty: $tType ).
thf(produc2146869324t_char_type,type,
produc2146869324t_char: $tType ).
thf(produc244676007t_char_type,type,
produc244676007t_char: $tType ).
thf(produc1059328077t_char_type,type,
produc1059328077t_char: $tType ).
thf(product_prod_val_val_type,type,
product_prod_val_val: $tType ).
thf(produc1581780743on_val_type,type,
produc1581780743on_val: $tType ).
thf(produc630464863al_val_type,type,
produc630464863al_val: $tType ).
thf(produc1746408499on_val_type,type,
produc1746408499on_val: $tType ).
thf(produc618524391on_val_type,type,
produc618524391on_val: $tType ).
thf(produc1534059751t_char_type,type,
produc1534059751t_char: $tType ).
thf(produc349695911t_char_type,type,
produc349695911t_char: $tType ).
thf(produc1368416213on_val_type,type,
produc1368416213on_val: $tType ).
thf(produc245756905har_ty_type,type,
produc245756905har_ty: $tType ).
thf(produc1350825965t_char_type,type,
produc1350825965t_char: $tType ).
thf(produc84451751t_char_type,type,
produc84451751t_char: $tType ).
thf(produc740765671t_char_type,type,
produc740765671t_char: $tType ).
thf(produc1406897475t_char_type,type,
produc1406897475t_char: $tType ).
thf(produc1826280281t_char_type,type,
produc1826280281t_char: $tType ).
thf(produc494726439t_char_type,type,
produc494726439t_char: $tType ).
thf(produc800118557al_val_type,type,
produc800118557al_val: $tType ).
thf(produc652964533on_val_type,type,
produc652964533on_val: $tType ).
thf(produc1250491293on_val_type,type,
produc1250491293on_val: $tType ).
thf(eval_decl,type,
eval: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(evals_decl,type,
evals: list_P1999446415t_char > list_exp_list_char > produc2090907612on_val > list_exp_list_char > produc2090907612on_val > $o ).
thf(final_list_char_decl,type,
final_list_char: exp_list_char > $o ).
thf(conf_P373316194t_char_decl,type,
conf_P373316194t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > val > ty > $o ).
thf(hconf_97414254t_char_decl,type,
hconf_97414254t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > $o ).
thf(lconf_496643946t_char_decl,type,
lconf_496643946t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_val ) > ( list_char > option_ty ) > $o ).
thf(oconf_1869808039t_char_decl,type,
oconf_1869808039t_char: list_P1999446415t_char > ( nat > option1728594148on_val ) > produc2088785539on_val > $o ).
thf(d_list_char_decl,type,
d_list_char: exp_list_char > option_list_char_o > $o ).
thf(classCast_decl,type,
classCast: list_char ).
thf(nullPointer_decl,type,
nullPointer: list_char ).
thf(outOfMemory_decl,type,
outOfMemory: list_char ).
thf(addr_of_sys_xcpt_decl,type,
addr_of_sys_xcpt: list_char > nat ).
thf(preallocated_decl,type,
preallocated: ( nat > option1728594148on_val ) > $o ).
thf(sys_xcpts_decl,type,
sys_xcpts: list_char > $o ).
thf(binop_decl,type,
binop: produc1645268488al_val > option_val ).
thf(add_decl,type,
add: bop ).
thf(c_Expr_Obop_OEq_decl,type,
c_Expr_Obop_OEq: bop ).
thf(binOp_list_char_decl,type,
binOp_list_char: exp_list_char > bop > exp_list_char > exp_list_char ).
thf(block_list_char_decl,type,
block_list_char: list_char > ty > exp_list_char > exp_list_char ).
thf(call_list_char_decl,type,
call_list_char: exp_list_char > list_char > list_exp_list_char > exp_list_char ).
thf(cast_list_char_decl,type,
cast_list_char: list_char > exp_list_char > exp_list_char ).
thf(cond_list_char_decl,type,
cond_list_char: exp_list_char > exp_list_char > exp_list_char > exp_list_char ).
thf(fAcc_list_char_decl,type,
fAcc_list_char: exp_list_char > list_char > list_char > exp_list_char ).
thf(fAss_list_char_decl,type,
fAss_list_char: exp_list_char > list_char > list_char > exp_list_char > exp_list_char ).
thf(lAss_list_char_decl,type,
lAss_list_char: list_char > exp_list_char > exp_list_char ).
thf(seq_list_char_decl,type,
seq_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(tryCatch_list_char_decl,type,
tryCatch_list_char: exp_list_char > list_char > list_char > exp_list_char > exp_list_char ).
thf(val_list_char_decl,type,
val_list_char: val > exp_list_char ).
thf(while_list_char_decl,type,
while_list_char: exp_list_char > exp_list_char > exp_list_char ).
thf(new_list_char_decl,type,
new_list_char: list_char > exp_list_char ).
thf(throw_list_char_decl,type,
throw_list_char: exp_list_char > exp_list_char ).
thf(fv_decl,type,
fv: exp_list_char > list_char > $o ).
thf(fvs_decl,type,
fvs: list_exp_list_char > list_char > $o ).
thf(comp_o1129292306t_char_decl,type,
comp_o1129292306t_char: ( option_val > val ) > ( list_char > option_val ) > list_char > val ).
thf(fun_up424764369ion_ty_decl,type,
fun_up424764369ion_ty: ( list_char > option_ty ) > list_char > option_ty > list_char > option_ty ).
thf(fun_up1149430426on_val_decl,type,
fun_up1149430426on_val: ( list_char > option_val ) > list_char > option_val > list_char > option_val ).
thf(fun_up1472480727on_val_decl,type,
fun_up1472480727on_val: ( nat > option1728594148on_val ) > nat > option1728594148on_val > nat > option1728594148on_val ).
thf(fun_up204312361on_val_decl,type,
fun_up204312361on_val: ( produc1278157519t_char > option_val ) > produc1278157519t_char > option_val > produc1278157519t_char > option_val ).
thf(overri2012515291on_val_decl,type,
overri2012515291on_val: ( list_char > option_val ) > ( list_char > option_val ) > ( list_char > $o ) > list_char > option_val ).
thf(wf_J_mdecl_decl,type,
wf_J_mdecl: list_P1999446415t_char > list_char > produc1013743697t_char > $o ).
thf(semila2134664963char_o_decl,type,
semila2134664963char_o: ( list_char > $o ) > ( list_char > $o ) > list_char > $o ).
thf(semila1505903696_val_o_decl,type,
semila1505903696_val_o: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > produc1746408499on_val > $o ).
thf(append_exp_list_char_decl,type,
append_exp_list_char: list_exp_list_char > list_exp_list_char > list_exp_list_char ).
thf(distinct_list_char_decl,type,
distinct_list_char: list_list_char > $o ).
thf(cons_exp_list_char_decl,type,
cons_exp_list_char: exp_list_char > list_exp_list_char > list_exp_list_char ).
thf(cons_list_char_decl,type,
cons_list_char: list_char > list_list_char > list_list_char ).
thf(cons_ty_decl,type,
cons_ty: ty > list_ty > list_ty ).
thf(cons_val_decl,type,
cons_val: val > list_val > list_val ).
thf(list_all2_ty_ty_decl,type,
list_all2_ty_ty: ( ty > ty > $o ) > list_ty > list_ty > $o ).
thf(map_list_char_val_decl,type,
map_list_char_val: ( list_char > val ) > list_list_char > list_val ).
thf(map_ty_option_ty_decl,type,
map_ty_option_ty: ( ty > option_ty ) > list_ty > list_option_ty ).
thf(map_va1934808527t_char_decl,type,
map_va1934808527t_char: ( val > exp_list_char ) > list_val > list_exp_list_char ).
thf(map_val_option_ty_decl,type,
map_val_option_ty: ( val > option_ty ) > list_val > list_option_ty ).
thf(set_list_char_decl,type,
set_list_char: list_list_char > list_char > $o ).
thf(dom_list_char_ty_decl,type,
dom_list_char_ty: ( list_char > option_ty ) > list_char > $o ).
thf(dom_list_char_val_decl,type,
dom_list_char_val: ( list_char > option_val ) > list_char > $o ).
thf(dom_Pr695701035ar_val_decl,type,
dom_Pr695701035ar_val: ( produc1278157519t_char > option_val ) > produc1278157519t_char > $o ).
thf(map_add_list_char_ty_decl,type,
map_add_list_char_ty: ( list_char > option_ty ) > ( list_char > option_ty ) > list_char > option_ty ).
thf(map_ad325961431ar_val_decl,type,
map_ad325961431ar_val: ( list_char > option_val ) > ( list_char > option_val ) > list_char > option_val ).
thf(map_ad1851375512on_val_decl,type,
map_ad1851375512on_val: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > nat > option1728594148on_val ).
thf(map_ad1185064968ar_val_decl,type,
map_ad1185064968ar_val: ( produc1278157519t_char > option_val ) > ( produc1278157519t_char > option_val ) > produc1278157519t_char > option_val ).
thf(map_up891053837har_ty_decl,type,
map_up891053837har_ty: ( list_char > option_ty ) > list_list_char > list_ty > list_char > option_ty ).
thf(map_up1085636310ar_val_decl,type,
map_up1085636310ar_val: ( list_char > option_val ) > list_list_char > list_val > list_char > option_val ).
thf(restri761823004ar_val_decl,type,
restri761823004ar_val: ( list_char > option_val ) > ( list_char > $o ) > list_char > option_val ).
thf(size_s2113983095t_char_decl,type,
size_s2113983095t_char: list_list_char > nat ).
thf(size_size_list_ty_decl,type,
size_size_list_ty: list_ty > nat ).
thf(size_size_list_val_decl,type,
size_size_list_val: list_val > nat ).
thf(hext_decl,type,
hext: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > $o ).
thf(init_fields_decl,type,
init_fields: list_P2023964830har_ty > produc1278157519t_char > option_val ).
thf(new_Addr_decl,type,
new_Addr: ( nat > option1728594148on_val ) > option_nat ).
thf(typeof_h_decl,type,
typeof_h: ( nat > option1728594148on_val ) > val > option_ty ).
thf(none_nat_decl,type,
none_nat: option_nat ).
thf(none_ty_decl,type,
none_ty: option_ty ).
thf(none_val_decl,type,
none_val: option_val ).
thf(none_P1260844216on_val_decl,type,
none_P1260844216on_val: option1728594148on_val ).
thf(some_list_char_o_decl,type,
some_list_char_o: ( list_char > $o ) > option_list_char_o ).
thf(some_nat_decl,type,
some_nat: nat > option_nat ).
thf(some_ty_decl,type,
some_ty: ty > option_ty ).
thf(some_val_decl,type,
some_val: val > option_val ).
thf(some_P451527732on_val_decl,type,
some_P451527732on_val: produc2088785539on_val > option1728594148on_val ).
thf(the_list_char_o_decl,type,
the_list_char_o: option_list_char_o > list_char > $o ).
thf(the_nat_decl,type,
the_nat: option_nat > nat ).
thf(the_ty_decl,type,
the_ty: option_ty > ty ).
thf(the_val_decl,type,
the_val: option_val > val ).
thf(the_Pr1885945130on_val_decl,type,
the_Pr1885945130on_val: option1728594148on_val > produc2088785539on_val ).
thf(ord_le1145603820_val_o_decl,type,
ord_le1145603820_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > $o ).
thf(ord_le1792911318_val_o_decl,type,
ord_le1792911318_val_o: ( exp_list_char > produc2090907612on_val > $o ) > ( exp_list_char > produc2090907612on_val > $o ) > $o ).
thf(ord_le1777678169char_o_decl,type,
ord_le1777678169char_o: ( list_char > $o ) > ( list_char > $o ) > $o ).
thf(ord_le290925629_val_o_decl,type,
ord_le290925629_val_o: ( produc2090907612on_val > $o ) > ( produc2090907612on_val > $o ) > $o ).
thf(ord_le166837589_val_o_decl,type,
ord_le166837589_val_o: ( produc1282892786on_val > produc1282892786on_val > $o ) > ( produc1282892786on_val > produc1282892786on_val > $o ) > $o ).
thf(ord_le900129703_val_o_decl,type,
ord_le900129703_val_o: ( produc1282892786on_val > $o ) > ( produc1282892786on_val > $o ) > $o ).
thf(ord_le1364969894_val_o_decl,type,
ord_le1364969894_val_o: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > $o ).
thf(produc1338265359on_val_decl,type,
produc1338265359on_val: ( list_char > option_val ) > ( list_char > option_val ) > produc774316953on_val ).
thf(produc755559506on_val_decl,type,
produc755559506on_val: ( nat > option1728594148on_val ) > ( list_char > option_val ) > produc2090907612on_val ).
thf(produc1208913941on_val_decl,type,
produc1208913941on_val: ( nat > option1728594148on_val ) > ( nat > option1728594148on_val ) > produc1287081631on_val ).
thf(produc621191550al_val_decl,type,
produc621191550al_val: bop > product_prod_val_val > produc1645268488al_val ).
thf(produc943465171t_char_decl,type,
produc943465171t_char: exp_list_char > exp_list_char > produc2048519645t_char ).
thf(produc235638504on_val_decl,type,
produc235638504on_val: exp_list_char > produc2090907612on_val > produc1282892786on_val ).
thf(produc1237966615t_char_decl,type,
produc1237966615t_char: list_exp_list_char > list_exp_list_char > produc91527719t_char ).
thf(produc1302104557on_val_decl,type,
produc1302104557on_val: list_exp_list_char > produc2090907612on_val > produc1180562163on_val ).
thf(produc1147572817t_char_decl,type,
produc1147572817t_char: list_list_char > exp_list_char > produc809539159t_char ).
thf(produc921874948t_char_decl,type,
produc921874948t_char: list_list_char > produc220283002t_char > produc1285161482t_char ).
thf(produc926070009on_val_decl,type,
produc926070009on_val: list_char > ( produc1278157519t_char > option_val ) > produc2088785539on_val ).
thf(produc5062597t_char_decl,type,
produc5062597t_char: list_char > list_char > produc1278157519t_char ).
thf(produc1909267824t_char_decl,type,
produc1909267824t_char: list_ty > produc662261637t_char > produc220283002t_char ).
thf(produc1916172923t_char_decl,type,
produc1916172923t_char: list_val > exp_list_char > produc662261637t_char ).
thf(product_Pair_val_val_decl,type,
product_Pair_val_val: val > val > product_prod_val_val ).
thf(produc259392253on_val_decl,type,
produc259392253on_val: produc2090907612on_val > produc2090907612on_val > produc1581780743on_val ).
thf(produc1924279125al_val_decl,type,
produc1924279125al_val: produc1645268488al_val > produc1645268488al_val > produc630464863al_val ).
thf(produc833389609on_val_decl,type,
produc833389609on_val: produc1282892786on_val > produc1282892786on_val > produc1746408499on_val ).
thf(produc747700183on_val_decl,type,
produc747700183on_val: produc1180562163on_val > produc1180562163on_val > produc618524391on_val ).
thf(produc24551831t_char_decl,type,
produc24551831t_char: produc1285161482t_char > produc1285161482t_char > produc349695911t_char ).
thf(produc57279289t_char_decl,type,
produc57279289t_char: produc220283002t_char > produc220283002t_char > produc1406897475t_char ).
thf(produc345758123on_val_decl,type,
produc345758123on_val: produc1746408499on_val > produc1746408499on_val > produc652964533on_val ).
thf(produc1347028499on_val_decl,type,
produc1347028499on_val: produc618524391on_val > produc618524391on_val > produc1250491293on_val ).
thf(produc1402621651_val_o_decl,type,
produc1402621651_val_o: ( produc2090907612on_val > $o ) > ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ).
thf(produc1287763389_val_o_decl,type,
produc1287763389_val_o: ( produc1282892786on_val > $o ) > exp_list_char > produc2090907612on_val > $o ).
thf(produc803302844_val_o_decl,type,
produc803302844_val_o: ( produc1746408499on_val > $o ) > produc1282892786on_val > produc1282892786on_val > $o ).
thf(produc575577405_val_o_decl,type,
produc575577405_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > $o ).
thf(produc252486962_val_o_decl,type,
produc252486962_val_o: ( ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o ) > produc2090907612on_val > $o ).
thf(produc1835097372_val_o_decl,type,
produc1835097372_val_o: ( exp_list_char > produc2090907612on_val > $o ) > produc1282892786on_val > $o ).
thf(produc1624062875_val_o_decl,type,
produc1624062875_val_o: ( produc1282892786on_val > produc1282892786on_val > $o ) > produc1746408499on_val > $o ).
thf(wTrt_decl,type,
wTrt: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > ty > $o ).
thf(wTrts_decl,type,
wTrts: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > list_exp_list_char > list_ty > $o ).
thf(collect_list_char_decl,type,
collect_list_char: ( list_char > $o ) > list_char > $o ).
thf(collec1451572574on_val_decl,type,
collec1451572574on_val: ( produc1746408499on_val > $o ) > produc1746408499on_val > $o ).
thf(assigned_decl,type,
assigned: list_char > exp_list_char > $o ).
thf(blocks_decl,type,
blocks: produc1285161482t_char > exp_list_char ).
thf(red_decl,type,
red: list_P1999446415t_char > produc1746408499on_val > $o ).
thf(redp_decl,type,
redp: list_P1999446415t_char > exp_list_char > produc2090907612on_val > exp_list_char > produc2090907612on_val > $o ).
thf(reds_decl,type,
reds: list_P1999446415t_char > produc618524391on_val > $o ).
thf(redsp_decl,type,
redsp: list_P1999446415t_char > list_exp_list_char > produc2090907612on_val > list_exp_list_char > produc2090907612on_val > $o ).
thf(hp_decl,type,
hp: produc2090907612on_val > nat > option1728594148on_val ).
thf(transi1395422419t_char_decl,type,
transi1395422419t_char: ( produc1278157519t_char > $o ) > produc1278157519t_char > $o ).
thf(transi466770671on_val_decl,type,
transi466770671on_val: ( produc1581780743on_val > $o ) > produc1581780743on_val > $o ).
thf(transi2118771717on_val_decl,type,
transi2118771717on_val: ( produc1746408499on_val > $o ) > produc1746408499on_val > $o ).
thf(transi808828192on_val_decl,type,
transi808828192on_val: ( produc618524391on_val > $o ) > produc618524391on_val > $o ).
thf(transi130214086on_val_decl,type,
transi130214086on_val: ( produc652964533on_val > $o ) > produc652964533on_val > $o ).
thf(transi1065307915t_char_decl,type,
transi1065307915t_char: ( list_char > list_char > $o ) > list_char > list_char > $o ).
thf(fields1147507508t_char_decl,type,
fields1147507508t_char: list_P1999446415t_char > list_char > list_P2023964830har_ty > $o ).
thf(method1809630380t_char_decl,type,
method1809630380t_char: list_P1999446415t_char > list_char > list_char > list_ty > ty > produc809539159t_char > list_char > $o ).
thf(has_fi1183600461t_char_decl,type,
has_fi1183600461t_char: list_P1999446415t_char > list_char > list_char > ty > list_char > $o ).
thf(subcls851966956t_char_decl,type,
subcls851966956t_char: list_P1999446415t_char > produc1278157519t_char > $o ).
thf(subcls744239332t_char_decl,type,
subcls744239332t_char: list_P1999446415t_char > list_char > list_char > $o ).
thf(widen_2090681816t_char_decl,type,
widen_2090681816t_char: list_P1999446415t_char > ty > ty > $o ).
thf(typeSa816273224_sconf_decl,type,
typeSa816273224_sconf: list_P1999446415t_char > ( list_char > option_ty ) > produc2090907612on_val > $o ).
thf(is_refT_decl,type,
is_refT: ty > $o ).
thf(this_decl,type,
this: list_char ).
thf(class_decl,type,
class: list_char > ty ).
thf(nt_decl,type,
nt: ty ).
thf(void_decl,type,
void: ty ).
thf(addr_decl,type,
addr: nat > val ).
thf(bool_decl,type,
bool: $o > val ).
thf(null_decl,type,
null: val ).
thf(unit_decl,type,
unit: val ).
thf(wwf_J_mdecl_decl,type,
wwf_J_mdecl: list_P1999446415t_char > list_char > produc1013743697t_char > $o ).
thf(wf_pro755087577t_char_decl,type,
wf_pro755087577t_char: ( list_P1999446415t_char > list_char > produc1013743697t_char > $o ) > list_P1999446415t_char > $o ).
thf(wTrt_1_decl,type,
wTrt_1: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > exp_list_char > ty > $o ).
thf(wTrts_1_decl,type,
wTrts_1: list_P1999446415t_char > ( nat > option1728594148on_val ) > ( list_char > option_ty ) > list_exp_list_char > list_ty > $o ).
thf(lex_pr359407722on_val_decl,type,
lex_pr359407722on_val: ( produc1287081631on_val > $o ) > ( produc774316953on_val > $o ) > produc1581780743on_val > $o ).
thf(lex_pr1492265728on_val_decl,type,
lex_pr1492265728on_val: ( produc2048519645t_char > $o ) > ( produc1581780743on_val > $o ) > produc1746408499on_val > $o ).
thf(lex_pr855826389on_val_decl,type,
lex_pr855826389on_val: ( produc91527719t_char > $o ) > ( produc1581780743on_val > $o ) > produc618524391on_val > $o ).
thf(lex_pr296420417on_val_decl,type,
lex_pr296420417on_val: ( produc1746408499on_val > $o ) > ( produc1746408499on_val > $o ) > produc652964533on_val > $o ).
thf(member_list_char_decl,type,
member_list_char: list_char > ( list_char > $o ) > $o ).
thf(member1838289030on_val_decl,type,
member1838289030on_val: produc774316953on_val > ( produc774316953on_val > $o ) > $o ).
thf(member1846553161on_val_decl,type,
member1846553161on_val: produc2090907612on_val > ( produc2090907612on_val > $o ) > $o ).
thf(member112887436on_val_decl,type,
member112887436on_val: produc1287081631on_val > ( produc1287081631on_val > $o ) > $o ).
thf(member1199939018t_char_decl,type,
member1199939018t_char: produc2048519645t_char > ( produc2048519645t_char > $o ) > $o ).
thf(member1072200031on_val_decl,type,
member1072200031on_val: produc1282892786on_val > ( produc1282892786on_val > $o ) > $o ).
thf(member894971540t_char_decl,type,
member894971540t_char: produc91527719t_char > ( produc91527719t_char > $o ) > $o ).
thf(member1251428284t_char_decl,type,
member1251428284t_char: produc1278157519t_char > ( produc1278157519t_char > $o ) > $o ).
thf(member565037556on_val_decl,type,
member565037556on_val: produc1581780743on_val > ( produc1581780743on_val > $o ) > $o ).
thf(member1913460000on_val_decl,type,
member1913460000on_val: produc1746408499on_val > ( produc1746408499on_val > $o ) > $o ).
thf(member2042188884on_val_decl,type,
member2042188884on_val: produc618524391on_val > ( produc618524391on_val > $o ) > $o ).
thf(member1714424482on_val_decl,type,
member1714424482on_val: produc652964533on_val > ( produc652964533on_val > $o ) > $o ).
thf(e_decl,type,
e: list_char > option_ty ).
thf(p_decl,type,
p: list_P1999446415t_char ).
thf(t_decl,type,
t: ty ).
thf(t_1_decl,type,
t_1: ty ).
thf(v_1_decl,type,
v_1: list_char ).
thf(e_a_decl,type,
e_a: exp_list_char ).
thf(ea_decl,type,
ea: exp_list_char ).
thf(h_a_decl,type,
h_a: nat > option1728594148on_val ).
thf(ha_decl,type,
ha: nat > option1728594148on_val ).
thf(l_a_decl,type,
l_a: list_char > option_val ).
thf(la_decl,type,
la: list_char > option_val ).
thf(v_2_decl,type,
v_2: val ).
thf(v_decl,type,
v: val ).
thf(237,axiom,
! [A: list_P1999446415t_char,B: list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( cast_list_char @ B @ ( throw_list_char @ C ) ) @ D @ ( throw_list_char @ C ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_986_redp__redsp_OCastThrow) ).
thf(1665,plain,
! [A: list_P1999446415t_char,B: list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( cast_list_char @ B @ ( throw_list_char @ C ) ) @ D @ ( throw_list_char @ C ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[237]) ).
thf(456,axiom,
! [A: list_char,B: list_char,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char] :
( ( wTrt_1 @ D @ E @ F @ G @ nt )
=> ( wTrt_1 @ D @ E @ F @ ( fAcc_list_char @ G @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1114_WTrtFAccNT) ).
thf(2452,plain,
! [A: list_char,B: list_char,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char] :
( ( wTrt_1 @ D @ E @ F @ G @ nt )
=> ( wTrt_1 @ D @ E @ F @ ( fAcc_list_char @ G @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[456]) ).
thf(146,axiom,
! [A: list_char > option_ty,B: list_ty,C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc1302104557on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( reds @ I ) )
=> ( ( wTrts_1 @ I @ D @ A @ C @ B )
=> ( ( lconf_496643946t_char @ I @ D @ E @ A )
=> ( lconf_496643946t_char @ I @ G @ H @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1176_reds__preserves__lconf) ).
thf(1337,plain,
! [A: list_char > option_ty,B: list_ty,C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc1302104557on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( reds @ I ) )
=> ( ( wTrts_1 @ I @ D @ A @ C @ B )
=> ( ( lconf_496643946t_char @ I @ D @ E @ A )
=> ( lconf_496643946t_char @ I @ G @ H @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[146]) ).
thf(67,axiom,
! [A: produc349695911t_char] :
~ ! [B: produc1285161482t_char,C: list_list_char,D: produc220283002t_char] :
( A
!= ( produc24551831t_char @ B @ ( produc921874948t_char @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_239_prod__cases3) ).
thf(1024,plain,
! [A: produc349695911t_char] :
~ ! [B: produc1285161482t_char,C: list_list_char,D: produc220283002t_char] :
( A
!= ( produc24551831t_char @ B @ ( produc921874948t_char @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).
thf(285,axiom,
! [A: ty] :
( ( the_ty @ ( some_ty @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_688_the_Osimps) ).
thf(1823,plain,
! [A: ty] :
( ( the_ty @ ( some_ty @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[285]) ).
thf(226,axiom,
! [A: product_prod_val_val] :
~ ! [B: val,C: val] :
( A
!= ( product_Pair_val_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_324_PairE) ).
thf(1633,plain,
! [A: product_prod_val_val] :
~ ! [B: val,C: val] :
( A
!= ( product_Pair_val_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[226]) ).
thf(268,axiom,
! [A: produc2088785539on_val,B: nat > option1728594148on_val,C: nat] :
( ( ( B @ C )
= none_P1260844216on_val )
=> ( hext @ B @ ( fun_up1472480727on_val @ B @ C @ ( some_P451527732on_val @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_717_hext__new) ).
thf(1767,plain,
! [A: produc2088785539on_val,B: nat > option1728594148on_val,C: nat] :
( ( ( B @ C )
= none_P1260844216on_val )
=> ( hext @ B @ ( fun_up1472480727on_val @ B @ C @ ( some_P451527732on_val @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[268]) ).
thf(444,axiom,
! [A: list_char,B: list_exp_list_char,C: list_val,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ G ) @ ( produc1302104557on_val @ ( map_va1934808527t_char @ val_list_char @ C ) @ D ) ) @ ( transi808828192on_val @ ( reds @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E @ A @ B ) @ F ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1143_CallRedsNull) ).
thf(2412,plain,
! [A: list_char,B: list_exp_list_char,C: list_val,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ G ) @ ( produc1302104557on_val @ ( map_va1934808527t_char @ val_list_char @ C ) @ D ) ) @ ( transi808828192on_val @ ( reds @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ E @ A @ B ) @ F ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[444]) ).
thf(69,axiom,
! [A: option1728594148on_val] :
( ( ! [B: produc2088785539on_val] :
( A
!= ( some_P451527732on_val @ B ) ) )
= ( A = none_P1260844216on_val ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_616_not__Some__eq) ).
thf(1031,plain,
! [A: option1728594148on_val] :
( ( ! [B: produc2088785539on_val] :
( A
!= ( some_P451527732on_val @ B ) ) )
= ( A = none_P1260844216on_val ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).
thf(288,axiom,
! [A: list_char,B: exp_list_char,C: list_char,D: exp_list_char] :
( ( ( lAss_list_char @ A @ B )
= ( lAss_list_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_574_exp_Osimps_I6_J) ).
thf(1840,plain,
! [A: list_char,B: exp_list_char,C: list_char,D: exp_list_char] :
( ( ( lAss_list_char @ A @ B )
= ( lAss_list_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[288]) ).
thf(140,axiom,
! [A: produc1278157519t_char,B: produc1278157519t_char > $o] :
( ( member1251428284t_char @ A @ B )
= ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_475_mem__def) ).
thf(1315,plain,
! [A: produc1278157519t_char,B: produc1278157519t_char > $o] :
( ( member1251428284t_char @ A @ B )
= ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[140]) ).
thf(49,axiom,
! [A: bop] :
( ( A != c_Expr_Obop_OEq )
=> ( A = add ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1080_bop_Oexhaust) ).
thf(962,plain,
! [A: bop] :
( ( A != c_Expr_Obop_OEq )
=> ( A = add ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).
thf(44,axiom,
! [A: list_char] :
( nt
!= ( class @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1110_ty_Osimps_I20_J) ).
thf(941,plain,
! [A: list_char] :
( nt
!= ( class @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).
thf(133,axiom,
! [A: list_char > option_val,B: list_char,C: list_char > option_val] :
( ~ ( member_list_char @ B @ ( dom_list_char_val @ C ) )
=> ( ( map_ad325961431ar_val @ C @ A @ B )
= ( A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_431_map__add__dom__app__simps_I2_J) ).
thf(1295,plain,
! [A: list_char > option_val,B: list_char,C: list_char > option_val] :
( ~ ( member_list_char @ B @ ( dom_list_char_val @ C ) )
=> ( ( map_ad325961431ar_val @ C @ A @ B )
= ( A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[133]) ).
thf(410,axiom,
! [A: list_P1999446415t_char,B: val,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( seq_list_char @ ( val_list_char @ B ) @ C ) @ D @ C @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_638_redp__redsp_ORedSeq) ).
thf(2280,plain,
! [A: list_P1999446415t_char,B: val,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( seq_list_char @ ( val_list_char @ B ) @ C ) @ D @ C @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[410]) ).
thf(666,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: produc1282892786on_val] :
( ! [C: exp_list_char,D: produc2090907612on_val] :
( ( B
= ( produc235638504on_val @ C @ D ) )
=> ( A @ C @ D ) )
=> ( produc1835097372_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_551_splitI2) ).
thf(3172,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: produc1282892786on_val] :
( ! [C: exp_list_char,D: produc2090907612on_val] :
( ( B
= ( produc235638504on_val @ C @ D ) )
=> ( A @ C @ D ) )
=> ( produc1835097372_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[666]) ).
thf(669,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ C @ A ) @ ( transi2118771717on_val @ D ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ B @ A ) @ ( transi2118771717on_val @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_732_rtrancl__trans) ).
thf(3185,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ C @ A ) @ ( transi2118771717on_val @ D ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ B @ A ) @ ( transi2118771717on_val @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[669]) ).
thf(362,axiom,
! [A: nat] :
( ( addr @ A )
!= null ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1035_val_Osimps_I17_J) ).
thf(2104,plain,
! [A: nat] :
( ( addr @ A )
!= null ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[362]) ).
thf(131,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: val,J: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ I ) @ J )
=> ( ( eval @ F @ C @ J @ ( throw_list_char @ D ) @ E )
=> ( eval @ F @ ( fAss_list_char @ G @ A @ B @ C ) @ H @ ( throw_list_char @ D ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_927_eval__evals_OFAssThrow2) ).
thf(1290,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: val,J: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ I ) @ J )
=> ( ( eval @ F @ C @ J @ ( throw_list_char @ D ) @ E )
=> ( eval @ F @ ( fAss_list_char @ G @ A @ B @ C ) @ H @ ( throw_list_char @ D ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[131]) ).
thf(498,axiom,
! [A: list_char > option_val,B: nat > option1728594148on_val,C: list_P1999446415t_char,D: list_char,E: list_P2023964830har_ty,F: nat > option1728594148on_val,G: nat] :
( ( ( new_Addr @ F )
= ( some_nat @ G ) )
=> ( ( fields1147507508t_char @ C @ D @ E )
=> ( ( B
= ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ ( init_fields @ E ) ) ) ) )
=> ( eval @ C @ ( new_list_char @ D ) @ ( produc755559506on_val @ F @ A ) @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1133_New) ).
thf(2622,plain,
! [A: list_char > option_val,B: nat > option1728594148on_val,C: list_P1999446415t_char,D: list_char,E: list_P2023964830har_ty,F: nat > option1728594148on_val,G: nat] :
( ( ( new_Addr @ F )
= ( some_nat @ G ) )
=> ( ( fields1147507508t_char @ C @ D @ E )
=> ( ( B
= ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ ( init_fields @ E ) ) ) ) )
=> ( eval @ C @ ( new_list_char @ D ) @ ( produc755559506on_val @ F @ A ) @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[498]) ).
thf(553,axiom,
! [A: list_char > option_val,B: list_char > option_ty,C: exp_list_char,D: ty,E: nat > option1728594148on_val,F: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ F )
=> ( ( hconf_97414254t_char @ F @ E )
=> ( ( wTrt_1 @ F @ E @ B @ C @ D )
=> ( ( d_list_char @ C @ ( some_list_char_o @ ( dom_list_char_val @ A ) ) )
=> ( ~ ( final_list_char @ C )
=> ? [G: exp_list_char,H: produc2090907612on_val] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ E @ A ) ) @ ( produc235638504on_val @ G @ H ) ) @ ( red @ F ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_789_progress) ).
thf(2808,plain,
! [A: list_char > option_val,B: list_char > option_ty,C: exp_list_char,D: ty,E: nat > option1728594148on_val,F: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ F )
=> ( ( hconf_97414254t_char @ F @ E )
=> ( ( wTrt_1 @ F @ E @ B @ C @ D )
=> ( ( d_list_char @ C @ ( some_list_char_o @ ( dom_list_char_val @ A ) ) )
=> ( ~ ( final_list_char @ C )
=> ? [G: exp_list_char,H: produc2090907612on_val] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ E @ A ) ) @ ( produc235638504on_val @ G @ H ) ) @ ( red @ F ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[553]) ).
thf(740,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: exp_list_char,H: produc2090907612on_val,I: exp_list_char,J: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ G @ H ) @ ( produc235638504on_val @ I @ J ) ) @ F )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ J ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_758_converse__rtrancl__induct2) ).
thf(3417,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: exp_list_char,H: produc2090907612on_val,I: exp_list_char,J: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ G @ H ) @ ( produc235638504on_val @ I @ J ) ) @ F )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ J ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[740]) ).
thf(221,axiom,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val,D: option1728594148on_val] :
( ( fun_up1472480727on_val @ ( fun_up1472480727on_val @ A @ B @ C ) @ B @ D )
= ( fun_up1472480727on_val @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_213_fun__upd__upd) ).
thf(1618,plain,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val,D: option1728594148on_val] :
( ( fun_up1472480727on_val @ ( fun_up1472480727on_val @ A @ B @ C ) @ B @ D )
= ( fun_up1472480727on_val @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[221]) ).
thf(640,axiom,
typeSa816273224_sconf @ p @ e @ ( produc755559506on_val @ ha @ la ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_54_InitBlockRed_I4_J) ).
thf(3098,plain,
typeSa816273224_sconf @ p @ e @ ( produc755559506on_val @ ha @ la ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[640]) ).
thf(126,axiom,
! [A: list_char,B: ty,C: exp_list_char,D: list_char,E: exp_list_char] :
( ( block_list_char @ A @ B @ C )
!= ( lAss_list_char @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_569_exp_Osimps_I143_J) ).
thf(1269,plain,
! [A: list_char,B: ty,C: exp_list_char,D: list_char,E: exp_list_char] :
( ( block_list_char @ A @ B @ C )
!= ( lAss_list_char @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[126]) ).
thf(433,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( evals @ E @ A @ B @ C @ D )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ C @ D ) ) @ ( transi808828192on_val @ ( reds @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1147_bigs__by__smalls) ).
thf(2380,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( evals @ E @ A @ B @ C @ D )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ C @ D ) ) @ ( transi808828192on_val @ ( reds @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[433]) ).
thf(566,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ D )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ C @ A ) @ ( transi2118771717on_val @ D ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ B @ A ) @ ( transi2118771717on_val @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_724_converse__rtrancl__into__rtrancl) ).
thf(2854,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ D )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ C @ A ) @ ( transi2118771717on_val @ D ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ B @ A ) @ ( transi2118771717on_val @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[566]) ).
thf(355,axiom,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( val_list_char @ null ) @ E )
=> ( eval @ B @ ( cast_list_char @ A @ C ) @ D @ ( val_list_char @ null ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1036_CastNull) ).
thf(2077,plain,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( val_list_char @ null ) @ E )
=> ( eval @ B @ ( cast_list_char @ A @ C ) @ D @ ( val_list_char @ null ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[355]) ).
thf(773,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val > $o] :
( ! [C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] : ( B @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_248_prod__induct3) ).
thf(3534,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val > $o] :
( ! [C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] : ( B @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[773]) ).
thf(630,axiom,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ F ) @ G ) ) @ ( red @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_897_red__reds_OFAssRed2) ).
thf(3072,plain,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ F ) @ G ) ) @ ( red @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[630]) ).
thf(61,axiom,
! [A: produc630464863al_val,B: produc630464863al_val > $o] :
( ! [C: produc1645268488al_val,D: bop,E: product_prod_val_val] : ( B @ ( produc1924279125al_val @ C @ ( produc621191550al_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_260_prod__induct3) ).
thf(1005,plain,
! [A: produc630464863al_val,B: produc630464863al_val > $o] :
( ! [C: produc1645268488al_val,D: bop,E: product_prod_val_val] : ( B @ ( produc1924279125al_val @ C @ ( produc621191550al_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).
thf(438,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char,I: ty] :
( ( wTrt_1 @ E @ F @ G @ H @ I )
=> ( ( wTrt_1 @ E @ F @ ( fun_up424764369ion_ty @ G @ A @ ( some_ty @ ( class @ B ) ) ) @ C @ D )
=> ( ( widen_2090681816t_char @ E @ I @ D )
=> ( wTrt_1 @ E @ F @ G @ ( tryCatch_list_char @ H @ B @ A @ C ) @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_982_WTrtTry) ).
thf(2395,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char,I: ty] :
( ( wTrt_1 @ E @ F @ G @ H @ I )
=> ( ( wTrt_1 @ E @ F @ ( fun_up424764369ion_ty @ G @ A @ ( some_ty @ ( class @ B ) ) ) @ C @ D )
=> ( ( widen_2090681816t_char @ E @ I @ D )
=> ( wTrt_1 @ E @ F @ G @ ( tryCatch_list_char @ H @ B @ A @ C ) @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[438]) ).
thf(584,axiom,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_899_FAssReds2) ).
thf(2908,plain,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[584]) ).
thf(727,axiom,
! [A: produc1746408499on_val > $o] :
( ( ! [B: produc1746408499on_val] : ( A @ B ) )
= ( ! [B: produc1282892786on_val,C: produc1282892786on_val] : ( A @ ( produc833389609on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_171_split__paired__All) ).
thf(3377,plain,
! [A: produc1746408499on_val > $o] :
( ( ! [B: produc1746408499on_val] : ( A @ B ) )
= ( ! [B: produc1282892786on_val,C: produc1282892786on_val] : ( A @ ( produc833389609on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[727]) ).
thf(624,axiom,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( A @ B )
=> ( ! [E: produc1282892786on_val,F: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ E ) @ ( transi2118771717on_val @ D ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ E @ F ) @ D )
=> ( ( A @ E )
=> ( A @ F ) ) ) )
=> ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_798_rtrancl__induct) ).
thf(3040,plain,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( A @ B )
=> ( ! [E: produc1282892786on_val,F: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ E ) @ ( transi2118771717on_val @ D ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ E @ F ) @ D )
=> ( ( A @ E )
=> ( A @ F ) ) ) )
=> ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[624]) ).
thf(171,axiom,
! [A: list_char > option_ty,B: list_ty,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( reds @ G ) )
=> ( ( wTrts_1 @ G @ ( hp @ D ) @ A @ C @ B )
=> ( ( typeSa816273224_sconf @ G @ A @ D )
=> ( typeSa816273224_sconf @ G @ A @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1170_reds__preserves__sconf) ).
thf(1422,plain,
! [A: list_char > option_ty,B: list_ty,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( reds @ G ) )
=> ( ( wTrts_1 @ G @ ( hp @ D ) @ A @ C @ B )
=> ( ( typeSa816273224_sconf @ G @ A @ D )
=> ( typeSa816273224_sconf @ G @ A @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[171]) ).
thf(598,axiom,
! [A: list_char > option_val,B: list_char,C: option_val] :
( ( fun_up1149430426on_val @ A @ B @ C @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_207_fun__upd__same) ).
thf(2947,plain,
! [A: list_char > option_val,B: list_char,C: option_val] :
( ( fun_up1149430426on_val @ A @ B @ C @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[598]) ).
thf(401,axiom,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ( member2042188884on_val @ A @ B )
= ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_473_mem__def) ).
thf(2248,plain,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ( member2042188884on_val @ A @ B )
= ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[401]) ).
thf(203,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char > option_val,E: list_char,F: list_ty,G: ty,H: list_list_char,I: exp_list_char,J: list_char,K: list_char,L: produc1278157519t_char > option_val,M: list_exp_list_char,N: list_val,O: nat > option1728594148on_val,P: list_char > option_val,Q: list_P1999446415t_char,R: exp_list_char,S: produc2090907612on_val,T: nat,U: produc2090907612on_val] :
( ( eval @ Q @ R @ S @ ( val_list_char @ ( addr @ T ) ) @ U )
=> ( ( evals @ Q @ M @ U @ ( map_va1934808527t_char @ val_list_char @ N ) @ ( produc755559506on_val @ O @ P ) )
=> ( ( ( O @ T )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ Q @ K @ E @ F @ G @ ( produc1147572817t_char @ H @ I ) @ J )
=> ( ( ( size_size_list_val @ N )
= ( size_s2113983095t_char @ H ) )
=> ( ( D
= ( map_up1085636310ar_val
@ ( fun_up1149430426on_val
@ ^ [V: list_char] : none_val
@ this
@ ( some_val @ ( addr @ T ) ) )
@ H
@ N ) )
=> ( ( eval @ Q @ I @ ( produc755559506on_val @ O @ D ) @ A @ ( produc755559506on_val @ B @ C ) )
=> ( eval @ Q @ ( call_list_char @ R @ E @ M ) @ S @ A @ ( produc755559506on_val @ B @ P ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1184_Call) ).
thf(1544,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char > option_val,E: list_char,F: list_ty,G: ty,H: list_list_char,I: exp_list_char,J: list_char,K: list_char,L: produc1278157519t_char > option_val,M: list_exp_list_char,N: list_val,O: nat > option1728594148on_val,P: list_char > option_val,Q: list_P1999446415t_char,R: exp_list_char,S: produc2090907612on_val,T: nat,U: produc2090907612on_val] :
( ( eval @ Q @ R @ S @ ( val_list_char @ ( addr @ T ) ) @ U )
=> ( ( evals @ Q @ M @ U @ ( map_va1934808527t_char @ val_list_char @ N ) @ ( produc755559506on_val @ O @ P ) )
=> ( ( ( O @ T )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ Q @ K @ E @ F @ G @ ( produc1147572817t_char @ H @ I ) @ J )
=> ( ( ( size_size_list_val @ N )
= ( size_s2113983095t_char @ H ) )
=> ( ( D
= ( map_up1085636310ar_val
@ ( fun_up1149430426on_val
@ ^ [V: list_char] : none_val
@ this
@ ( some_val @ ( addr @ T ) ) )
@ H
@ N ) )
=> ( ( eval @ Q @ I @ ( produc755559506on_val @ O @ D ) @ A @ ( produc755559506on_val @ B @ C ) )
=> ( eval @ Q @ ( call_list_char @ R @ E @ M ) @ S @ A @ ( produc755559506on_val @ B @ P ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[203]) ).
thf(335,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char] :
( ( ~ ( B @ C )
=> ( A @ C ) )
=> ( semila2134664963char_o @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_874_sup1CI) ).
thf(2014,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char] :
( ( ~ ( B @ C )
=> ( A @ C ) )
=> ( semila2134664963char_o @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[335]) ).
thf(616,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ E ) )
=> ( ( ( produc235638504on_val @ A @ B )
!= ( produc235638504on_val @ C @ D ) )
=> ~ ! [F: exp_list_char,G: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ F @ G ) ) @ E )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_742_converse__rtranclE2) ).
thf(3012,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ E ) )
=> ( ( ( produc235638504on_val @ A @ B )
!= ( produc235638504on_val @ C @ D ) )
=> ~ ! [F: exp_list_char,G: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ F @ G ) ) @ E )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[616]) ).
thf(113,axiom,
! [A: list_char > $o,B: list_char,C: list_char > $o] :
( ( ~ ( member_list_char @ B @ C )
=> ( member_list_char @ B @ A ) )
=> ( member_list_char @ B @ ( semila2134664963char_o @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_871_UnCI) ).
thf(1205,plain,
! [A: list_char > $o,B: list_char,C: list_char > $o] :
( ( ~ ( member_list_char @ B @ C )
=> ( member_list_char @ B @ A ) )
=> ( member_list_char @ B @ ( semila2134664963char_o @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[113]) ).
thf(411,axiom,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( while_list_char @ C @ A ) @ D @ ( throw_list_char @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1079_WhileCondThrow) ).
thf(2282,plain,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( while_list_char @ C @ A ) @ D @ ( throw_list_char @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[411]) ).
thf(213,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc1180562163on_val] :
( ( ( produc747700183on_val @ A @ B )
= ( produc747700183on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_134_Pair__eq) ).
thf(1591,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc1180562163on_val] :
( ( ( produc747700183on_val @ A @ B )
= ( produc747700183on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[213]) ).
thf(72,axiom,
! [A: produc91527719t_char > $o,B: produc91527719t_char > $o] :
( ( ! [C: list_exp_list_char,D: list_exp_list_char] :
( ( member894971540t_char @ ( produc1237966615t_char @ C @ D ) @ B )
= ( member894971540t_char @ ( produc1237966615t_char @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_271_pred__equals__eq2) ).
thf(1041,plain,
! [A: produc91527719t_char > $o,B: produc91527719t_char > $o] :
( ( ! [C: list_exp_list_char,D: list_exp_list_char] :
( ( member894971540t_char @ ( produc1237966615t_char @ C @ D ) @ B )
= ( member894971540t_char @ ( produc1237966615t_char @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).
thf(729,axiom,
! [A: list_char > option_val,B: list_char,C: option_val,D: option_val] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ A @ B @ C ) @ B @ D )
= ( fun_up1149430426on_val @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_211_fun__upd__upd) ).
thf(3382,plain,
! [A: list_char > option_val,B: list_char,C: option_val,D: option_val] :
( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ A @ B @ C ) @ B @ D )
= ( fun_up1149430426on_val @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[729]) ).
thf(384,axiom,
! [A: list_P1999446415t_char,B: list_char > option_ty,C: nat > option1728594148on_val,D: val,E: ty] :
( ( ( typeof_h @ C @ D )
= ( some_ty @ E ) )
=> ( wTrt_1 @ A @ C @ B @ ( val_list_char @ D ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1009_WTrtVal) ).
thf(2195,plain,
! [A: list_P1999446415t_char,B: list_char > option_ty,C: nat > option1728594148on_val,D: val,E: ty] :
( ( ( typeof_h @ C @ D )
= ( some_ty @ E ) )
=> ( wTrt_1 @ A @ C @ B @ ( val_list_char @ D ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[384]) ).
thf(233,axiom,
! [A: produc1285161482t_char,B: produc1285161482t_char > $o] :
( ! [C: list_list_char,D: list_ty,E: list_val,F: exp_list_char] : ( B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_33_prod__induct4) ).
thf(1655,plain,
! [A: produc1285161482t_char,B: produc1285161482t_char > $o] :
( ! [C: list_list_char,D: list_ty,E: list_val,F: exp_list_char] : ( B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[233]) ).
thf(648,axiom,
! [A: val,B: list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: list_exp_list_char,F: list_val,G: exp_list_char,H: list_exp_list_char] :
( ( E
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ F ) @ ( cons_exp_list_char @ ( throw_list_char @ G ) @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ E ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ G ) @ C ) ) @ ( red @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1164_red__reds_OCallThrowParams) ).
thf(3120,plain,
! [A: val,B: list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: list_exp_list_char,F: list_val,G: exp_list_char,H: list_exp_list_char] :
( ( E
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ F ) @ ( cons_exp_list_char @ ( throw_list_char @ G ) @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ E ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ G ) @ C ) ) @ ( red @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[648]) ).
thf(96,axiom,
! [A: list_char > option_ty,B: list_char > option_ty,C: list_char,D: ty] :
( ( map_add_list_char_ty @ A @ ( fun_up424764369ion_ty @ B @ C @ ( some_ty @ D ) ) )
= ( fun_up424764369ion_ty @ ( map_add_list_char_ty @ A @ B ) @ C @ ( some_ty @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_516_map__add__upd) ).
thf(1137,plain,
! [A: list_char > option_ty,B: list_char > option_ty,C: list_char,D: ty] :
( ( map_add_list_char_ty @ A @ ( fun_up424764369ion_ty @ B @ C @ ( some_ty @ D ) ) )
= ( fun_up424764369ion_ty @ ( map_add_list_char_ty @ A @ B ) @ C @ ( some_ty @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[96]) ).
thf(514,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: produc2090907612on_val,D: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ C ) ) @ ( transi2118771717on_val @ ( red @ D ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ C ) ) @ ( transi2118771717on_val @ ( red @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1049_ThrowRedsNull) ).
thf(2686,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: produc2090907612on_val,D: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ C ) ) @ ( transi2118771717on_val @ ( red @ D ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ C ) ) @ ( transi2118771717on_val @ ( red @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[514]) ).
thf(653,axiom,
! [A: produc2090907612on_val > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( A @ ( produc755559506on_val @ B @ C ) )
=> ( produc1402621651_val_o @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_370_curryI) ).
thf(3135,plain,
! [A: produc2090907612on_val > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( A @ ( produc755559506on_val @ B @ C ) )
=> ( produc1402621651_val_o @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[653]) ).
thf(588,axiom,
! [A: produc2090907612on_val > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc1402621651_val_o @ A @ B @ C )
=> ( A @ ( produc755559506on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_495_curryE) ).
thf(2918,plain,
! [A: produc2090907612on_val > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc1402621651_val_o @ A @ B @ C )
=> ( A @ ( produc755559506on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[588]) ).
thf(381,axiom,
! [A: option_nat] :
( ( A != none_nat )
=> ~ ! [B: nat] :
( A
!= ( some_nat @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_790_option_Oexhaust) ).
thf(2184,plain,
! [A: option_nat] :
( ( A != none_nat )
=> ~ ! [B: nat] :
( A
!= ( some_nat @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[381]) ).
thf(369,axiom,
! [A: exp_list_char,B: bop,C: exp_list_char] :
( ( fv @ ( binOp_list_char @ A @ B @ C ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_960_fv__fvs_Osimps_I4_J) ).
thf(2141,plain,
! [A: exp_list_char,B: bop,C: exp_list_char] :
( ( fv @ ( binOp_list_char @ A @ B @ C ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[369]) ).
thf(464,axiom,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redp @ B @ ( lAss_list_char @ A @ C ) @ D @ ( lAss_list_char @ A @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_624_redp__redsp_OLAssRed) ).
thf(2476,plain,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redp @ B @ ( lAss_list_char @ A @ C ) @ D @ ( lAss_list_char @ A @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[464]) ).
thf(45,axiom,
! [A: exp_list_char,B: ty,C: list_char,D: ty,E: list_char,F: list_P1999446415t_char,G: nat > option1728594148on_val,H: list_char > option_ty,I: exp_list_char,J: list_char] :
( ( wTrt_1 @ F @ G @ H @ I @ ( class @ J ) )
=> ( ( has_fi1183600461t_char @ F @ J @ C @ D @ E )
=> ( ( wTrt_1 @ F @ G @ H @ A @ B )
=> ( ( widen_2090681816t_char @ F @ B @ D )
=> ( wTrt_1 @ F @ G @ H @ ( fAss_list_char @ I @ C @ E @ A ) @ void ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_991_WTrtFAss) ).
thf(945,plain,
! [A: exp_list_char,B: ty,C: list_char,D: ty,E: list_char,F: list_P1999446415t_char,G: nat > option1728594148on_val,H: list_char > option_ty,I: exp_list_char,J: list_char] :
( ( wTrt_1 @ F @ G @ H @ I @ ( class @ J ) )
=> ( ( has_fi1183600461t_char @ F @ J @ C @ D @ E )
=> ( ( wTrt_1 @ F @ G @ H @ A @ B )
=> ( ( widen_2090681816t_char @ F @ B @ D )
=> ( wTrt_1 @ F @ G @ H @ ( fAss_list_char @ I @ C @ E @ A ) @ void ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).
thf(41,axiom,
! [A: nat > option1728594148on_val,B: val,C: ty] :
( ( ( typeof_h
@ ^ [D: nat] : none_P1260844216on_val
@ B )
= ( some_ty @ C ) )
=> ( ( typeof_h @ A @ B )
= ( some_ty @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1011_typeof__lit__typeof) ).
thf(930,plain,
! [A: nat > option1728594148on_val,B: val,C: ty] :
( ( ( typeof_h
@ ^ [D: nat] : none_P1260844216on_val
@ B )
= ( some_ty @ C ) )
=> ( ( typeof_h @ A @ B )
= ( some_ty @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).
thf(182,axiom,
! [A: list_char,B: produc1278157519t_char > $o] : ( member1251428284t_char @ ( produc5062597t_char @ A @ A ) @ ( transi1395422419t_char @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_660_rtrancl_Ortrancl__refl) ).
thf(1458,plain,
! [A: list_char,B: produc1278157519t_char > $o] : ( member1251428284t_char @ ( produc5062597t_char @ A @ A ) @ ( transi1395422419t_char @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[182]) ).
thf(488,axiom,
! [A: list_val,B: list_P1999446415t_char,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: produc2090907612on_val,J: nat,K: list_char,L: produc1278157519t_char > option_val] :
( ( ( hp @ I @ J )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ B @ K @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( ( size_size_list_val @ A )
= ( size_s2113983095t_char @ F ) )
=> ( ( ( size_size_list_ty @ D )
= ( size_s2113983095t_char @ F ) )
=> ( redp @ B @ ( call_list_char @ ( val_list_char @ ( addr @ J ) ) @ C @ ( map_va1934808527t_char @ val_list_char @ A ) ) @ I @ ( blocks @ ( produc921874948t_char @ ( cons_list_char @ this @ F ) @ ( produc1909267824t_char @ ( cons_ty @ ( class @ H ) @ D ) @ ( produc1916172923t_char @ ( cons_val @ ( addr @ J ) @ A ) @ G ) ) ) ) @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1186_redp__redsp_ORedCall) ).
thf(2575,plain,
! [A: list_val,B: list_P1999446415t_char,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: produc2090907612on_val,J: nat,K: list_char,L: produc1278157519t_char > option_val] :
( ( ( hp @ I @ J )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ B @ K @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( ( size_size_list_val @ A )
= ( size_s2113983095t_char @ F ) )
=> ( ( ( size_size_list_ty @ D )
= ( size_s2113983095t_char @ F ) )
=> ( redp @ B @ ( call_list_char @ ( val_list_char @ ( addr @ J ) ) @ C @ ( map_va1934808527t_char @ val_list_char @ A ) ) @ I @ ( blocks @ ( produc921874948t_char @ ( cons_list_char @ this @ F ) @ ( produc1909267824t_char @ ( cons_ty @ ( class @ H ) @ D ) @ ( produc1916172923t_char @ ( cons_val @ ( addr @ J ) @ A ) @ G ) ) ) ) @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[488]) ).
thf(275,axiom,
! [A: val,B: val,C: val,D: val] :
( ( ( product_Pair_val_val @ A @ B )
= ( product_Pair_val_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_89_Pair__inject) ).
thf(1788,plain,
! [A: val,B: val,C: val,D: val] :
( ( ( product_Pair_val_val @ A @ B )
= ( product_Pair_val_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[275]) ).
thf(173,axiom,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: exp_list_char,E: produc2090907612on_val,F: nat,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ F ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( ( hp @ G @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_999_CastRedsFail) ).
thf(1426,plain,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: exp_list_char,E: produc2090907612on_val,F: nat,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ F ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( ( hp @ G @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[173]) ).
thf(678,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ B @ C )
=> ( ( ord_le1364969894_val_o @ C @ A )
=> ( member1913460000on_val @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_707_set__rev__mp) ).
thf(3217,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ B @ C )
=> ( ( ord_le1364969894_val_o @ C @ A )
=> ( member1913460000on_val @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[678]) ).
thf(772,axiom,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: exp_list_char,D: produc2090907612on_val] :
( A
!= ( produc833389609on_val @ B @ ( produc235638504on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_223_prod__cases3) ).
thf(3530,plain,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: exp_list_char,D: produc2090907612on_val] :
( A
!= ( produc833389609on_val @ B @ ( produc235638504on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[772]) ).
thf(452,axiom,
! [A: list_list_char,B: produc220283002t_char,C: list_list_char,D: produc220283002t_char] :
( ( ( produc921874948t_char @ A @ B )
= ( produc921874948t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_136_Pair__eq) ).
thf(2434,plain,
! [A: list_list_char,B: produc220283002t_char,C: list_list_char,D: produc220283002t_char] :
( ( ( produc921874948t_char @ A @ B )
= ( produc921874948t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[452]) ).
thf(297,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val] :
( ( evals @ A @ ( cons_exp_list_char @ B @ C ) @ D @ E @ F )
=> ( ! [G: val,H: produc2090907612on_val,I: list_exp_list_char] :
( ( E
= ( cons_exp_list_char @ ( val_list_char @ G ) @ I ) )
=> ( ( eval @ A @ B @ D @ ( val_list_char @ G ) @ H )
=> ~ ( evals @ A @ C @ H @ I @ F ) ) )
=> ~ ! [G: exp_list_char] :
( ( E
= ( cons_exp_list_char @ ( throw_list_char @ G ) @ C ) )
=> ~ ( eval @ A @ B @ D @ ( throw_list_char @ G ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1167_evals__cases_I2_J) ).
thf(1872,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val] :
( ( evals @ A @ ( cons_exp_list_char @ B @ C ) @ D @ E @ F )
=> ( ! [G: val,H: produc2090907612on_val,I: list_exp_list_char] :
( ( E
= ( cons_exp_list_char @ ( val_list_char @ G ) @ I ) )
=> ( ( eval @ A @ B @ D @ ( val_list_char @ G ) @ H )
=> ~ ( evals @ A @ C @ H @ I @ F ) ) )
=> ~ ! [G: exp_list_char] :
( ( E
= ( cons_exp_list_char @ ( throw_list_char @ G ) @ C ) )
=> ~ ( eval @ A @ B @ D @ ( throw_list_char @ G ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[297]) ).
thf(309,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val] :
( ( hext @ A @ B )
= ( ! [C: nat,D: list_char,E: produc1278157519t_char > option_val] :
( ( ( A @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ? [F: produc1278157519t_char > option_val] :
( ( B @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_567_hext__def) ).
thf(1919,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val] :
( ( hext @ A @ B )
= ( ! [C: nat,D: list_char,E: produc1278157519t_char > option_val] :
( ( ( A @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ? [F: produc1278157519t_char > option_val] :
( ( B @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ F ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[309]) ).
thf(691,axiom,
! [A: list_char,B: ty,C: nat,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( throw_list_char @ ( val_list_char @ ( addr @ C ) ) ) ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ C ) ) ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_942_red__reds_OBlockThrow) ).
thf(3253,plain,
! [A: list_char,B: ty,C: nat,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( throw_list_char @ ( val_list_char @ ( addr @ C ) ) ) ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ C ) ) ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[691]) ).
thf(459,axiom,
! [A: nat > option1728594148on_val,B: nat] :
( ( fun_up1472480727on_val @ A @ B @ ( A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_fun__upd__triv) ).
thf(2459,plain,
! [A: nat > option1728594148on_val,B: nat] :
( ( fun_up1472480727on_val @ A @ B @ ( A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[459]) ).
thf(739,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( eval @ E @ A @ B @ C @ D )
= ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
& ( final_list_char @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_847_big__iff__small) ).
thf(3414,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( eval @ E @ A @ B @ C @ D )
= ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
& ( final_list_char @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[739]) ).
thf(148,axiom,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val,D: nat,E: produc2088785539on_val] :
( ( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) @ D )
= ( some_P451527732on_val @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_P451527732on_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_9_map__upd__Some__unfold) ).
thf(1342,plain,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val,D: nat,E: produc2088785539on_val] :
( ( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) @ D )
= ( some_P451527732on_val @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_P451527732on_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[148]) ).
thf(38,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt @ A @ B @ C @ D @ E )
= ( wTrt_1 @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1023_wt_H__iff__wt) ).
thf(913,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt @ A @ B @ C @ D @ E )
= ( wTrt_1 @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).
thf(321,axiom,
! [A: val,B: val] :
( ( binop @ ( produc621191550al_val @ c_Expr_Obop_OEq @ ( product_Pair_val_val @ A @ B ) ) )
= ( some_val @ ( bool @ ( A = B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1077_binop_Osimps_I1_J) ).
thf(1954,plain,
! [A: val,B: val] :
( ( binop @ ( produc621191550al_val @ c_Expr_Obop_OEq @ ( product_Pair_val_val @ A @ B ) ) )
= ( some_val @ ( bool @ ( A = B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[321]) ).
thf(562,axiom,
wTrt_1 @ p @ ha @ e @ ( block_list_char @ v_1 @ t_1 @ ( seq_list_char @ ( lAss_list_char @ v_1 @ ( val_list_char @ v ) ) @ ea ) ) @ t,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_348_InitBlockRed_I5_J) ).
thf(2844,plain,
wTrt_1 @ p @ ha @ e @ ( block_list_char @ v_1 @ t_1 @ ( seq_list_char @ ( lAss_list_char @ v_1 @ ( val_list_char @ v ) ) @ ea ) ) @ t,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[562]) ).
thf(81,axiom,
! [A: produc1645268488al_val,B: produc1645268488al_val,C: produc1645268488al_val,D: produc1645268488al_val] :
( ( ( produc1924279125al_val @ A @ B )
= ( produc1924279125al_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_111_Pair__eq) ).
thf(1095,plain,
! [A: produc1645268488al_val,B: produc1645268488al_val,C: produc1645268488al_val,D: produc1645268488al_val] :
( ( ( produc1924279125al_val @ A @ B )
= ( produc1924279125al_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).
thf(389,axiom,
! [A: list_P1999446415t_char,B: list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( lAss_list_char @ B @ ( throw_list_char @ C ) ) @ D @ ( throw_list_char @ C ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_922_redp__redsp_OLAssThrow) ).
thf(2216,plain,
! [A: list_P1999446415t_char,B: list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( lAss_list_char @ B @ ( throw_list_char @ C ) ) @ D @ ( throw_list_char @ C ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[389]) ).
thf(308,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char,F: list_char,G: exp_list_char,H: ty] :
( ( wTrt_1 @ A @ B @ C @ ( tryCatch_list_char @ D @ E @ F @ G ) @ H )
=> ~ ! [I: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ I )
=> ( ( wTrt_1 @ A @ B @ ( fun_up424764369ion_ty @ C @ F @ ( some_ty @ ( class @ E ) ) ) @ G @ H )
=> ~ ( widen_2090681816t_char @ A @ I @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_996_WTrt__elim__cases_I5_J) ).
thf(1914,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char,F: list_char,G: exp_list_char,H: ty] :
( ( wTrt_1 @ A @ B @ C @ ( tryCatch_list_char @ D @ E @ F @ G ) @ H )
=> ~ ! [I: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ I )
=> ( ( wTrt_1 @ A @ B @ ( fun_up424764369ion_ty @ C @ F @ ( some_ty @ ( class @ E ) ) ) @ G @ H )
=> ~ ( widen_2090681816t_char @ A @ I @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[308]) ).
thf(273,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: val,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ H ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ H ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ) ) @ ( transi2118771717on_val @ ( red @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1030_FAssRedsNull) ).
thf(1782,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: val,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ H ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ H ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ) ) @ ( transi2118771717on_val @ ( red @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[273]) ).
thf(764,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ ( throw_list_char @ A ) ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) ) @ ( red @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_924_red__reds_OThrowThrow) ).
thf(3502,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ ( throw_list_char @ A ) ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) ) @ ( red @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[764]) ).
thf(337,axiom,
! [A: list_char > $o] :
( ( the_list_char_o @ ( some_list_char_o @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_689_the_Osimps) ).
thf(2020,plain,
! [A: list_char > $o] :
( ( the_list_char_o @ ( some_list_char_o @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[337]) ).
thf(334,axiom,
! [A: list_char > option_ty,B: list_char,C: option_ty] :
( ( ( A @ B )
= C )
=> ( ( fun_up424764369ion_ty @ A @ B @ C )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_192_fun__upd__idem) ).
thf(2010,plain,
! [A: list_char > option_ty,B: list_char,C: option_ty] :
( ( ( A @ B )
= C )
=> ( ( fun_up424764369ion_ty @ A @ B @ C )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[334]) ).
thf(231,axiom,
! [A: val,B: val,C: val,D: val] :
( ( ( product_Pair_val_val @ A @ B )
= ( product_Pair_val_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_133_Pair__eq) ).
thf(1650,plain,
! [A: val,B: val,C: val,D: val] :
( ( ( product_Pair_val_val @ A @ B )
= ( product_Pair_val_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[231]) ).
thf(699,axiom,
! [A: produc2090907612on_val > $o,B: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o] :
( ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( B @ C @ D )
= ( A @ ( produc755559506on_val @ C @ D ) ) )
=> ( ( produc252486962_val_o @ B )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_558_cond__split__eta) ).
thf(3281,plain,
! [A: produc2090907612on_val > $o,B: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o] :
( ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( B @ C @ D )
= ( A @ ( produc755559506on_val @ C @ D ) ) )
=> ( ( produc252486962_val_o @ B )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[699]) ).
thf(357,axiom,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: list_exp_list_char,D: produc2090907612on_val] :
( A
!= ( produc747700183on_val @ B @ ( produc1302104557on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_226_prod__cases3) ).
thf(2082,plain,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: list_exp_list_char,D: produc2090907612on_val] :
( A
!= ( produc747700183on_val @ B @ ( produc1302104557on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[357]) ).
thf(156,axiom,
! [A: exp_list_char,B: exp_list_char,C: list_char,D: exp_list_char] :
( ( seq_list_char @ A @ B )
!= ( lAss_list_char @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_583_exp_Osimps_I145_J) ).
thf(1366,plain,
! [A: exp_list_char,B: exp_list_char,C: list_char,D: exp_list_char] :
( ( seq_list_char @ A @ B )
!= ( lAss_list_char @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[156]) ).
thf(473,axiom,
! [A: val,B: val] :
( ( ( val_list_char @ A )
= ( val_list_char @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_572_exp_Osimps_I3_J) ).
thf(2516,plain,
! [A: val,B: val] :
( ( ( val_list_char @ A )
= ( val_list_char @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[473]) ).
thf(571,axiom,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1_InitBlockRed_I1_J) ).
thf(2869,plain,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[571]) ).
thf(299,axiom,
! [A: produc652964533on_val > $o] :
( ( ! [B: produc652964533on_val] : ( A @ B ) )
= ( ! [B: produc1746408499on_val,C: produc1746408499on_val] : ( A @ ( produc345758123on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_159_split__paired__All) ).
thf(1887,plain,
! [A: produc652964533on_val > $o] :
( ( ! [B: produc652964533on_val] : ( A @ B ) )
= ( ! [B: produc1746408499on_val,C: produc1746408499on_val] : ( A @ ( produc345758123on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[299]) ).
thf(601,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( ( final_list_char @ C )
=> ( eval @ E @ A @ B @ C @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_852_small__by__big) ).
thf(2957,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( ( final_list_char @ C )
=> ( eval @ E @ A @ B @ C @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[601]) ).
thf(261,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char > option_val,D: nat > option1728594148on_val] :
( ( ( new_Addr @ D )
= none_nat )
=> ( redp @ A @ ( new_list_char @ B ) @ ( produc755559506on_val @ D @ C ) @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1130_redp__redsp_ORedNewFail) ).
thf(1746,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char > option_val,D: nat > option1728594148on_val] :
( ( ( new_Addr @ D )
= none_nat )
=> ( redp @ A @ ( new_list_char @ B ) @ ( produc755559506on_val @ D @ C ) @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[261]) ).
thf(643,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc1282892786on_val,F: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ B @ C ) @ ( produc833389609on_val @ D @ E ) ) @ ( transi130214086on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: produc1282892786on_val,H: produc1282892786on_val,I: produc1282892786on_val,J: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ G @ H ) @ ( produc833389609on_val @ I @ J ) ) @ F )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ I @ J ) @ ( produc833389609on_val @ D @ E ) ) @ ( transi130214086on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_772_converse__rtrancl__induct2) ).
thf(3103,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc1282892786on_val,F: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ B @ C ) @ ( produc833389609on_val @ D @ E ) ) @ ( transi130214086on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: produc1282892786on_val,H: produc1282892786on_val,I: produc1282892786on_val,J: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ G @ H ) @ ( produc833389609on_val @ I @ J ) ) @ F )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ I @ J ) @ ( produc833389609on_val @ D @ E ) ) @ ( transi130214086on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[643]) ).
thf(427,axiom,
! [A: product_prod_val_val] :
~ ! [B: val,C: val] :
( A
!= ( product_Pair_val_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_308_prod_Oexhaust) ).
thf(2348,plain,
! [A: product_prod_val_val] :
~ ! [B: val,C: val] :
( A
!= ( product_Pair_val_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[427]) ).
thf(777,axiom,
! [A: ty,B: val,C: list_P1999446415t_char,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char,H: val,I: exp_list_char,J: nat > option1728594148on_val,K: list_char > option_val] :
( ( redp @ C @ D @ ( produc755559506on_val @ E @ ( fun_up1149430426on_val @ F @ G @ ( some_val @ H ) ) ) @ I @ ( produc755559506on_val @ J @ K ) )
=> ( ( ( K @ G )
= ( some_val @ B ) )
=> ( redp @ C @ ( block_list_char @ G @ A @ ( seq_list_char @ ( lAss_list_char @ G @ ( val_list_char @ H ) ) @ D ) ) @ ( produc755559506on_val @ E @ F ) @ ( block_list_char @ G @ A @ ( seq_list_char @ ( lAss_list_char @ G @ ( val_list_char @ B ) ) @ I ) ) @ ( produc755559506on_val @ J @ ( fun_up1149430426on_val @ K @ G @ ( F @ G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_587_redp__redsp_OInitBlockRed) ).
thf(3545,plain,
! [A: ty,B: val,C: list_P1999446415t_char,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char,H: val,I: exp_list_char,J: nat > option1728594148on_val,K: list_char > option_val] :
( ( redp @ C @ D @ ( produc755559506on_val @ E @ ( fun_up1149430426on_val @ F @ G @ ( some_val @ H ) ) ) @ I @ ( produc755559506on_val @ J @ K ) )
=> ( ( ( K @ G )
= ( some_val @ B ) )
=> ( redp @ C @ ( block_list_char @ G @ A @ ( seq_list_char @ ( lAss_list_char @ G @ ( val_list_char @ H ) ) @ D ) ) @ ( produc755559506on_val @ E @ F ) @ ( block_list_char @ G @ A @ ( seq_list_char @ ( lAss_list_char @ G @ ( val_list_char @ B ) ) @ I ) ) @ ( produc755559506on_val @ J @ ( fun_up1149430426on_val @ K @ G @ ( F @ G ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[777]) ).
thf(525,axiom,
! [A: list_char,B: exp_list_char,C: list_P1999446415t_char,D: list_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ~ ( transi1065307915t_char @ ( subcls744239332t_char @ C ) @ G @ D )
=> ( redp @ C @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ D @ A @ B ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1055_redp__redsp_ORedTryFail) ).
thf(2723,plain,
! [A: list_char,B: exp_list_char,C: list_P1999446415t_char,D: list_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ~ ( transi1065307915t_char @ ( subcls744239332t_char @ C ) @ G @ D )
=> ( redp @ C @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ D @ A @ B ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[525]) ).
thf(440,axiom,
! [A: produc1278157519t_char > option_val,B: nat > option1728594148on_val,C: nat,D: list_char,E: produc1278157519t_char > option_val] :
( ( ( B @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( hext @ B @ ( fun_up1472480727on_val @ B @ C @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_564_hext__upd__obj) ).
thf(2400,plain,
! [A: produc1278157519t_char > option_val,B: nat > option1728594148on_val,C: nat,D: list_char,E: produc1278157519t_char > option_val] :
( ( ( B @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( hext @ B @ ( fun_up1472480727on_val @ B @ C @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[440]) ).
thf(323,axiom,
! [A: produc774316953on_val > $o,B: produc774316953on_val > $o] :
( ( ! [C: list_char > option_val,D: list_char > option_val] :
( ( member1838289030on_val @ ( produc1338265359on_val @ C @ D ) @ B )
= ( member1838289030on_val @ ( produc1338265359on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_281_pred__equals__eq2) ).
thf(1967,plain,
! [A: produc774316953on_val > $o,B: produc774316953on_val > $o] :
( ( ! [C: list_char > option_val,D: list_char > option_val] :
( ( member1838289030on_val @ ( produc1338265359on_val @ C @ D ) @ B )
= ( member1838289030on_val @ ( produc1338265359on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[323]) ).
thf(305,axiom,
! [A: produc662261637t_char] :
~ ! [B: list_val,C: exp_list_char] :
( A
!= ( produc1916172923t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_319_PairE) ).
thf(1904,plain,
! [A: produc662261637t_char] :
~ ! [B: list_val,C: exp_list_char] :
( A
!= ( produc1916172923t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[305]) ).
thf(249,axiom,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: produc220283002t_char] :
( A
!= ( produc921874948t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_321_PairE) ).
thf(1703,plain,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: produc220283002t_char] :
( A
!= ( produc921874948t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[249]) ).
thf(115,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val] :
( ! [C: nat,D: list_char,E: produc1278157519t_char > option_val] :
( ( ( B @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ? [F: produc1278157519t_char > option_val] :
( ( A @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ F ) ) ) )
=> ( hext @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_591_hextI) ).
thf(1228,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val] :
( ! [C: nat,D: list_char,E: produc1278157519t_char > option_val] :
( ( ( B @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ? [F: produc1278157519t_char > option_val] :
( ( A @ C )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ F ) ) ) )
=> ( hext @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[115]) ).
thf(122,axiom,
! [A: produc630464863al_val,B: produc630464863al_val > $o] :
( ! [C: produc1645268488al_val,D: bop,E: val,F: val] : ( B @ ( produc1924279125al_val @ C @ ( produc621191550al_val @ D @ ( product_Pair_val_val @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_36_prod__induct4) ).
thf(1254,plain,
! [A: produc630464863al_val,B: produc630464863al_val > $o] :
( ! [C: produc1645268488al_val,D: bop,E: val,F: val] : ( B @ ( produc1924279125al_val @ C @ ( produc621191550al_val @ D @ ( product_Pair_val_val @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[122]) ).
thf(224,axiom,
! [A: val,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ ( reds @ F ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ B ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ D ) @ E ) ) @ ( transi808828192on_val @ ( reds @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1161_ListReds2) ).
thf(1628,plain,
! [A: val,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ ( reds @ F ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ B ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ D ) @ E ) ) @ ( transi808828192on_val @ ( reds @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[224]) ).
thf(676,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char,H: list_val,I: list_list_char,J: list_ty] :
( ( ( size_s2113983095t_char @ I )
= ( size_size_list_ty @ J ) )
=> ( ( ( size_size_list_val @ H )
= ( size_size_list_ty @ J ) )
=> ( ( distinct_list_char @ I )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ ( map_up1085636310ar_val @ C @ I @ H ) ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ I @ ( produc1909267824t_char @ J @ ( produc1916172923t_char @ H @ A ) ) ) ) @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ I @ ( produc1909267824t_char @ J @ ( produc1916172923t_char @ ( map_list_char_val @ ( comp_o1129292306t_char @ the_val @ F ) @ I ) @ D ) ) ) ) @ ( produc755559506on_val @ E @ ( overri2012515291on_val @ F @ C @ ( set_list_char @ I ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1199_blocksReds) ).
thf(3204,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char,H: list_val,I: list_list_char,J: list_ty] :
( ( ( size_s2113983095t_char @ I )
= ( size_size_list_ty @ J ) )
=> ( ( ( size_size_list_val @ H )
= ( size_size_list_ty @ J ) )
=> ( ( distinct_list_char @ I )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ ( map_up1085636310ar_val @ C @ I @ H ) ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ I @ ( produc1909267824t_char @ J @ ( produc1916172923t_char @ H @ A ) ) ) ) @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ I @ ( produc1909267824t_char @ J @ ( produc1916172923t_char @ ( map_list_char_val @ ( comp_o1129292306t_char @ the_val @ F ) @ I ) @ D ) ) ) ) @ ( produc755559506on_val @ E @ ( overri2012515291on_val @ F @ C @ ( set_list_char @ I ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[676]) ).
thf(742,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ( member1913460000on_val @ A @ B )
= ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_477_mem__def) ).
thf(3425,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ( member1913460000on_val @ A @ B )
= ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[742]) ).
thf(527,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ( d_list_char @ A @ ( some_list_char_o @ ( dom_list_char_val @ C ) ) )
=> ( d_list_char @ D @ ( some_list_char_o @ ( dom_list_char_val @ F ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_351_red__preserves__defass) ).
thf(2735,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ( d_list_char @ A @ ( some_list_char_o @ ( dom_list_char_val @ C ) ) )
=> ( d_list_char @ D @ ( some_list_char_o @ ( dom_list_char_val @ F ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[527]) ).
thf(406,axiom,
! [A: list_char > $o] :
( ( semila2134664963char_o @ A @ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_875_Un__absorb) ).
thf(2269,plain,
! [A: list_char > $o] :
( ( semila2134664963char_o @ A @ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[406]) ).
thf(762,axiom,
! [A: ty,B: list_char > option_ty] :
( ( typeSa816273224_sconf @ p @ B @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) )
=> ( ( wTrt_1 @ p @ ha @ B @ ea @ A )
=> ? [C: ty] :
( ( wTrt_1 @ p @ h_a @ B @ e_a @ C )
& ( widen_2090681816t_char @ p @ C @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_19_InitBlockRed_I2_J) ).
thf(3495,plain,
! [A: ty,B: list_char > option_ty] :
( ( typeSa816273224_sconf @ p @ B @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) )
=> ( ( wTrt_1 @ p @ ha @ B @ ea @ A )
=> ? [C: ty] :
( ( wTrt_1 @ p @ h_a @ B @ e_a @ C )
& ( widen_2090681816t_char @ p @ C @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[762]) ).
thf(469,axiom,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redp @ B @ ( cast_list_char @ A @ C ) @ D @ ( cast_list_char @ A @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_983_redp__redsp_OCastRed) ).
thf(2501,plain,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redp @ B @ ( cast_list_char @ A @ C ) @ D @ ( cast_list_char @ A @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[469]) ).
thf(293,axiom,
! [A: produc1278157519t_char > $o,B: produc1278157519t_char > $o] :
( ( ! [C: list_char,D: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ C @ D ) @ B )
= ( member1251428284t_char @ ( produc5062597t_char @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_295_pred__equals__eq2) ).
thf(1860,plain,
! [A: produc1278157519t_char > $o,B: produc1278157519t_char > $o] :
( ( ! [C: list_char,D: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ C @ D ) @ B )
= ( member1251428284t_char @ ( produc5062597t_char @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[293]) ).
thf(759,axiom,
! [A: produc2090907612on_val] :
~ ! [B: nat > option1728594148on_val,C: list_char > option_val] :
( A
!= ( produc755559506on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_312_prod_Oexhaust) ).
thf(3485,plain,
! [A: produc2090907612on_val] :
~ ! [B: nat > option1728594148on_val,C: list_char > option_val] :
( A
!= ( produc755559506on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[759]) ).
thf(9,axiom,
! [A: produc1285161482t_char,B: produc1285161482t_char,C: produc1285161482t_char,D: produc1285161482t_char] :
( ( ( produc24551831t_char @ A @ B )
= ( produc24551831t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_108_Pair__eq) ).
thf(802,plain,
! [A: produc1285161482t_char,B: produc1285161482t_char,C: produc1285161482t_char,D: produc1285161482t_char] :
( ( ( produc24551831t_char @ A @ B )
= ( produc24551831t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).
thf(181,axiom,
unit != null,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1033_val_Osimps_I4_J) ).
thf(1455,plain,
unit != null,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[181]) ).
thf(637,axiom,
! [A: ty,B: val,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ none_val ) ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( red @ J ) )
=> ( ( ( I @ F )
= ( some_val @ B ) )
=> ( ~ ( assigned @ F @ C )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ F @ A @ C ) @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ ( block_list_char @ F @ A @ ( seq_list_char @ ( lAss_list_char @ F @ ( val_list_char @ B ) ) @ G ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ F @ ( E @ F ) ) ) ) ) @ ( red @ J ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_588_red__reds_OBlockRedSome) ).
thf(3089,plain,
! [A: ty,B: val,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ none_val ) ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( red @ J ) )
=> ( ( ( I @ F )
= ( some_val @ B ) )
=> ( ~ ( assigned @ F @ C )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ F @ A @ C ) @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ ( block_list_char @ F @ A @ ( seq_list_char @ ( lAss_list_char @ F @ ( val_list_char @ B ) ) @ G ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ F @ ( E @ F ) ) ) ) ) @ ( red @ J ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[637]) ).
thf(518,axiom,
! [A: exp_list_char,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( cond_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1093_eval__evals_OCondThrow) ).
thf(2703,plain,
! [A: exp_list_char,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( cond_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[518]) ).
thf(673,axiom,
! [A: produc2090907612on_val > $o] :
( ( produc252486962_val_o
@ ^ [B: nat > option1728594148on_val,C: list_char > option_val] : ( A @ ( produc755559506on_val @ B @ C ) ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_479_split__eta) ).
thf(3195,plain,
! [A: produc2090907612on_val > $o] :
( ( produc252486962_val_o
@ ^ [B: nat > option1728594148on_val,C: list_char > option_val] : ( A @ ( produc755559506on_val @ B @ C ) ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[673]) ).
thf(620,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val] :
( ( ( A @ B )
= ( some_val @ C ) )
=> ( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_14_map__upd__triv) ).
thf(3029,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val] :
( ( ( A @ B )
= ( some_val @ C ) )
=> ( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[620]) ).
thf(341,axiom,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( lAss_list_char @ A @ C ) @ D @ ( throw_list_char @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_919_eval__evals_OLAssThrow) ).
thf(2039,plain,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( lAss_list_char @ A @ C ) @ D @ ( throw_list_char @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[341]) ).
thf(697,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) )
=> ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_453_splitD) ).
thf(3275,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) )
=> ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[697]) ).
thf(651,axiom,
! [A: val,B: bop,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_972_BinOp2Reds) ).
thf(3131,plain,
! [A: val,B: bop,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[651]) ).
thf(134,axiom,
! [A: produc1278157519t_char,B: produc1278157519t_char > $o] :
( ( member1251428284t_char @ A @ B )
=> ( member1251428284t_char @ A @ ( transi1395422419t_char @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_666_r__into__rtrancl) ).
thf(1298,plain,
! [A: produc1278157519t_char,B: produc1278157519t_char > $o] :
( ( member1251428284t_char @ A @ B )
=> ( member1251428284t_char @ A @ ( transi1395422419t_char @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[134]) ).
thf(143,axiom,
! [A: list_P1999446415t_char,B: produc2090907612on_val,C: bop,D: val,E: val,F: val] :
( ( ( binop @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) )
= ( some_val @ F ) )
=> ( redp @ A @ ( binOp_list_char @ ( val_list_char @ D ) @ C @ ( val_list_char @ E ) ) @ B @ ( val_list_char @ F ) @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1001_redp__redsp_ORedBinOp) ).
thf(1323,plain,
! [A: list_P1999446415t_char,B: produc2090907612on_val,C: bop,D: val,E: val,F: val] :
( ( ( binop @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) )
= ( some_val @ F ) )
=> ( redp @ A @ ( binOp_list_char @ ( val_list_char @ D ) @ C @ ( val_list_char @ E ) ) @ B @ ( val_list_char @ F ) @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[143]) ).
thf(659,axiom,
! [A: list_char,B: list_exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1142_CallRedsThrowObj) ).
thf(3148,plain,
! [A: list_char,B: list_exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[659]) ).
thf(513,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: produc2090907612on_val,C: produc2090907612on_val] :
( ( B = C )
=> ( ( produc252486962_val_o @ A @ B )
= ( produc252486962_val_o @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_427_split__weak__cong) ).
thf(2682,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: produc2090907612on_val,C: produc2090907612on_val] :
( ( B = C )
=> ( ( produc252486962_val_o @ A @ B )
= ( produc252486962_val_o @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[513]) ).
thf(649,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char > option_ty] :
( ( lconf_496643946t_char @ A @ B @ C @ D )
= ( ! [E: list_char,F: val] :
( ( ( C @ E )
= ( some_val @ F ) )
=> ? [G: ty] :
( ( ( D @ E )
= ( some_ty @ G ) )
& ( conf_P373316194t_char @ A @ B @ F @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_554_lconf__def) ).
thf(3125,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char > option_ty] :
( ( lconf_496643946t_char @ A @ B @ C @ D )
= ( ! [E: list_char,F: val] :
( ( ( C @ E )
= ( some_val @ F ) )
=> ? [G: ty] :
( ( ( D @ E )
= ( some_ty @ G ) )
& ( conf_P373316194t_char @ A @ B @ F @ G ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[649]) ).
thf(286,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( B = C )
=> ( ( ord_le1777678169char_o @ A @ C )
=> ( ord_le1777678169char_o @ A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_823_xt1_I3_J) ).
thf(1826,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( B = C )
=> ( ( ord_le1777678169char_o @ A @ C )
=> ( ord_le1777678169char_o @ A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[286]) ).
thf(184,axiom,
! [A: list_char > option_ty,B: option_ty,C: list_char,D: list_char] :
( ( ( C = D )
=> ( ( fun_up424764369ion_ty @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up424764369ion_ty @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_204_fun__upd__apply) ).
thf(1462,plain,
! [A: list_char > option_ty,B: option_ty,C: list_char,D: list_char] :
( ( ( C = D )
=> ( ( fun_up424764369ion_ty @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up424764369ion_ty @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[184]) ).
thf(94,axiom,
! [A: list_char > $o] : ( ord_le1777678169char_o @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_795_order__refl) ).
thf(1132,plain,
! [A: list_char > $o] : ( ord_le1777678169char_o @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).
thf(47,axiom,
! [A: list_exp_list_char,B: list_exp_list_char,C: list_exp_list_char,D: list_exp_list_char] :
( ( ( produc1237966615t_char @ A @ B )
= ( produc1237966615t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_72_Pair__inject) ).
thf(949,plain,
! [A: list_exp_list_char,B: list_exp_list_char,C: list_exp_list_char,D: list_exp_list_char] :
( ( ( produc1237966615t_char @ A @ B )
= ( produc1237966615t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).
thf(487,axiom,
! [A: nat] :
( ( addr @ A )
!= unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_947_val_Osimps_I11_J) ).
thf(2571,plain,
! [A: nat] :
( ( addr @ A )
!= unit ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[487]) ).
thf(641,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( A @ B @ C )
=> ( produc1835097372_val_o @ A @ ( produc235638504on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_422_splitI) ).
thf(3099,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( A @ B @ C )
=> ( produc1835097372_val_o @ A @ ( produc235638504on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[641]) ).
thf(99,axiom,
! [A: list_P1999446415t_char,B: val,C: list_char,D: produc2090907612on_val,E: list_exp_list_char,F: list_val,G: exp_list_char,H: list_exp_list_char] :
( ( E
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ F ) @ ( cons_exp_list_char @ ( throw_list_char @ G ) @ H ) ) )
=> ( redp @ A @ ( call_list_char @ ( val_list_char @ B ) @ C @ E ) @ D @ ( throw_list_char @ G ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1159_redp__redsp_OCallThrowParams) ).
thf(1147,plain,
! [A: list_P1999446415t_char,B: val,C: list_char,D: produc2090907612on_val,E: list_exp_list_char,F: list_val,G: exp_list_char,H: list_exp_list_char] :
( ( E
= ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ F ) @ ( cons_exp_list_char @ ( throw_list_char @ G ) @ H ) ) )
=> ( redp @ A @ ( call_list_char @ ( val_list_char @ B ) @ C @ E ) @ D @ ( throw_list_char @ G ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[99]) ).
thf(300,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char,I: ty] :
( ( wTrt @ E @ F @ G @ H @ I )
=> ( ( wTrt @ E @ F @ ( fun_up424764369ion_ty @ G @ A @ ( some_ty @ ( class @ B ) ) ) @ C @ D )
=> ( ( widen_2090681816t_char @ E @ I @ D )
=> ( wTrt @ E @ F @ G @ ( tryCatch_list_char @ H @ B @ A @ C ) @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1027_WTrt_H__WTrts_H_Ointros_I22_J) ).
thf(1890,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char,I: ty] :
( ( wTrt @ E @ F @ G @ H @ I )
=> ( ( wTrt @ E @ F @ ( fun_up424764369ion_ty @ G @ A @ ( some_ty @ ( class @ B ) ) ) @ C @ D )
=> ( ( widen_2090681816t_char @ E @ I @ D )
=> ( wTrt @ E @ F @ G @ ( tryCatch_list_char @ H @ B @ A @ C ) @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[300]) ).
thf(539,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) ) @ ( red @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_896_red__reds_OFAssRed1) ).
thf(2767,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) ) @ ( red @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[539]) ).
thf(229,axiom,
! [A: list_val,B: list_exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ ( throw_list_char @ D ) @ E @ F @ G )
=> ( evals @ C @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ A ) @ ( cons_exp_list_char @ ( throw_list_char @ D ) @ B ) ) @ E @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ A ) @ ( cons_exp_list_char @ F @ B ) ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1160_list__eval__Throw) ).
thf(1641,plain,
! [A: list_val,B: list_exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ ( throw_list_char @ D ) @ E @ F @ G )
=> ( evals @ C @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ A ) @ ( cons_exp_list_char @ ( throw_list_char @ D ) @ B ) ) @ E @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ A ) @ ( cons_exp_list_char @ F @ B ) ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[229]) ).
thf(282,axiom,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: produc1180562163on_val] :
( A
!= ( produc747700183on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_307_prod_Oexhaust) ).
thf(1815,plain,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: produc1180562163on_val] :
( A
!= ( produc747700183on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[282]) ).
thf(668,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: produc2090907612on_val] :
( ( produc252486962_val_o @ A @ B )
=> ~ ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( B
= ( produc755559506on_val @ C @ D ) )
=> ~ ( A @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_534_splitE) ).
thf(3180,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: produc2090907612on_val] :
( ( produc252486962_val_o @ A @ B )
=> ~ ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( B
= ( produc755559506on_val @ C @ D ) )
=> ~ ( A @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[668]) ).
thf(436,axiom,
! [A: produc349695911t_char,B: produc349695911t_char > $o] :
( ! [C: produc1285161482t_char,D: list_list_char,E: list_ty,F: list_val,G: exp_list_char] : ( B @ ( produc24551831t_char @ C @ ( produc921874948t_char @ D @ ( produc1909267824t_char @ E @ ( produc1916172923t_char @ F @ G ) ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_22_prod__induct5) ).
thf(2388,plain,
! [A: produc349695911t_char,B: produc349695911t_char > $o] :
( ! [C: produc1285161482t_char,D: list_list_char,E: list_ty,F: list_val,G: exp_list_char] : ( B @ ( produc24551831t_char @ C @ ( produc921874948t_char @ D @ ( produc1909267824t_char @ E @ ( produc1916172923t_char @ F @ G ) ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[436]) ).
thf(83,axiom,
! [A: produc2088785539on_val,B: nat,C: list_P1999446415t_char,D: nat > option1728594148on_val] :
( ( hconf_97414254t_char @ C @ D )
=> ( ( ( D @ B )
= none_P1260844216on_val )
=> ( ( oconf_1869808039t_char @ C @ D @ A )
=> ( hconf_97414254t_char @ C @ ( fun_up1472480727on_val @ D @ B @ ( some_P451527732on_val @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_721_hconf__new) ).
thf(1100,plain,
! [A: produc2088785539on_val,B: nat,C: list_P1999446415t_char,D: nat > option1728594148on_val] :
( ( hconf_97414254t_char @ C @ D )
=> ( ( ( D @ B )
= none_P1260844216on_val )
=> ( ( oconf_1869808039t_char @ C @ D @ A )
=> ( hconf_97414254t_char @ C @ ( fun_up1472480727on_val @ D @ B @ ( some_P451527732on_val @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).
thf(290,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( cond_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1094_redp__redsp_OCondThrow) ).
thf(1847,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( cond_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[290]) ).
thf(310,axiom,
! [A: exp_list_char,B: list_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: list_char,H: produc1278157519t_char > option_val,I: list_P1999446415t_char,J: exp_list_char,K: produc2090907612on_val,L: nat,M: nat > option1728594148on_val,N: list_char > option_val] :
( ( eval @ I @ J @ K @ ( throw_list_char @ ( val_list_char @ ( addr @ L ) ) ) @ ( produc755559506on_val @ M @ N ) )
=> ( ( ( M @ L )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ G @ F ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ I ) ) )
=> ( ( eval @ I @ A @ ( produc755559506on_val @ M @ ( fun_up1149430426on_val @ N @ B @ ( some_val @ ( addr @ L ) ) ) ) @ C @ ( produc755559506on_val @ D @ E ) )
=> ( eval @ I @ ( tryCatch_list_char @ J @ F @ B @ A ) @ K @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ B @ ( N @ B ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_976_TryCatch) ).
thf(1922,plain,
! [A: exp_list_char,B: list_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: list_char,H: produc1278157519t_char > option_val,I: list_P1999446415t_char,J: exp_list_char,K: produc2090907612on_val,L: nat,M: nat > option1728594148on_val,N: list_char > option_val] :
( ( eval @ I @ J @ K @ ( throw_list_char @ ( val_list_char @ ( addr @ L ) ) ) @ ( produc755559506on_val @ M @ N ) )
=> ( ( ( M @ L )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ G @ F ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ I ) ) )
=> ( ( eval @ I @ A @ ( produc755559506on_val @ M @ ( fun_up1149430426on_val @ N @ B @ ( some_val @ ( addr @ L ) ) ) ) @ C @ ( produc755559506on_val @ D @ E ) )
=> ( eval @ I @ ( tryCatch_list_char @ J @ F @ B @ A ) @ K @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ B @ ( N @ B ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[310]) ).
thf(14,axiom,
! [A: list_char,B: list_char] :
( ( fun_up424764369ion_ty
@ ^ [C: list_char] : none_ty
@ A
@ none_ty
@ B )
= none_ty ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_634_empty__upd__none) ).
thf(817,plain,
! [A: list_char,B: list_char] :
( ( fun_up424764369ion_ty
@ ^ [C: list_char] : none_ty
@ A
@ none_ty
@ B )
= none_ty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).
thf(516,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char > option_val,D: list_char > option_val] :
( ( ( produc1338265359on_val @ A @ B )
= ( produc1338265359on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_82_Pair__inject) ).
thf(2691,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char > option_val,D: list_char > option_val] :
( ( ( produc1338265359on_val @ A @ B )
= ( produc1338265359on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[516]) ).
thf(522,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ( ord_le1777678169char_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_826_order__eq__refl) ).
thf(2713,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ( ord_le1777678169char_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[522]) ).
thf(769,axiom,
! [A: ty,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ E @ none_val ) ) ) @ ( produc235638504on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( red @ I ) )
=> ( ( ( H @ E )
= none_val )
=> ( ~ ( assigned @ E @ B )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ E @ A @ B ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ ( block_list_char @ E @ A @ F ) @ ( produc755559506on_val @ G @ ( fun_up1149430426on_val @ H @ E @ ( D @ E ) ) ) ) ) @ ( red @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_653_red__reds_OBlockRedNone) ).
thf(3517,plain,
! [A: ty,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ E @ none_val ) ) ) @ ( produc235638504on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( red @ I ) )
=> ( ( ( H @ E )
= none_val )
=> ( ~ ( assigned @ E @ B )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ E @ A @ B ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ ( block_list_char @ E @ A @ F ) @ ( produc755559506on_val @ G @ ( fun_up1149430426on_val @ H @ E @ ( D @ E ) ) ) ) ) @ ( red @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[769]) ).
thf(301,axiom,
! [A: list_char,B: exp_list_char,C: list_char,D: list_char,E: produc1278157519t_char > option_val,F: exp_list_char,G: produc2090907612on_val,H: nat,I: nat > option1728594148on_val,J: list_char > option_val,K: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ H ) ) ) @ ( produc755559506on_val @ I @ J ) ) ) @ ( transi2118771717on_val @ ( red @ K ) ) )
=> ( ( ( I @ H )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ K ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ F @ C @ A @ B ) @ G ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ H ) ) ) @ ( produc755559506on_val @ I @ J ) ) ) @ ( transi2118771717on_val @ ( red @ K ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_952_TryRedsFail) ).
thf(1892,plain,
! [A: list_char,B: exp_list_char,C: list_char,D: list_char,E: produc1278157519t_char > option_val,F: exp_list_char,G: produc2090907612on_val,H: nat,I: nat > option1728594148on_val,J: list_char > option_val,K: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ H ) ) ) @ ( produc755559506on_val @ I @ J ) ) ) @ ( transi2118771717on_val @ ( red @ K ) ) )
=> ( ( ( I @ H )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ K ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ F @ C @ A @ B ) @ G ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ H ) ) ) @ ( produc755559506on_val @ I @ J ) ) ) @ ( transi2118771717on_val @ ( red @ K ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[301]) ).
thf(730,axiom,
! [A: list_char > option_val,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: val,G: nat > option1728594148on_val,H: list_char > option_val] :
( ( eval @ C @ D @ E @ ( val_list_char @ F ) @ ( produc755559506on_val @ G @ H ) )
=> ( ( A
= ( fun_up1149430426on_val @ H @ B @ ( some_val @ F ) ) )
=> ( eval @ C @ ( lAss_list_char @ B @ D ) @ E @ ( val_list_char @ unit ) @ ( produc755559506on_val @ G @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_853_LAss) ).
thf(3385,plain,
! [A: list_char > option_val,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: val,G: nat > option1728594148on_val,H: list_char > option_val] :
( ( eval @ C @ D @ E @ ( val_list_char @ F ) @ ( produc755559506on_val @ G @ H ) )
=> ( ( A
= ( fun_up1149430426on_val @ H @ B @ ( some_val @ F ) ) )
=> ( eval @ C @ ( lAss_list_char @ B @ D ) @ E @ ( val_list_char @ unit ) @ ( produc755559506on_val @ G @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[730]) ).
thf(751,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( fAcc_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_928_red__reds_OFAccRed) ).
thf(3463,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( fAcc_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[751]) ).
thf(160,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ C @ D ) ) @ ( transi808828192on_val @ E ) )
=> ( ( ( produc1302104557on_val @ A @ B )
!= ( produc1302104557on_val @ C @ D ) )
=> ~ ! [F: list_exp_list_char,G: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ F @ G ) ) @ E )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ F @ G ) @ ( produc1302104557on_val @ C @ D ) ) @ ( transi808828192on_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_741_converse__rtranclE2) ).
thf(1379,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ C @ D ) ) @ ( transi808828192on_val @ E ) )
=> ( ( ( produc1302104557on_val @ A @ B )
!= ( produc1302104557on_val @ C @ D ) )
=> ~ ! [F: list_exp_list_char,G: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ F @ G ) ) @ E )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ F @ G ) @ ( produc1302104557on_val @ C @ D ) ) @ ( transi808828192on_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[160]) ).
thf(52,axiom,
! [A: produc618524391on_val,B: produc618524391on_val,C: produc618524391on_val,D: produc618524391on_val] :
( ( ( produc1347028499on_val @ A @ B )
= ( produc1347028499on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_109_Pair__eq) ).
thf(969,plain,
! [A: produc618524391on_val,B: produc618524391on_val,C: produc618524391on_val,D: produc618524391on_val] :
( ( ( produc1347028499on_val @ A @ B )
= ( produc1347028499on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).
thf(430,axiom,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ C @ A ) @ D )
=> ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_727_rtrancl_Ortrancl__into__rtrancl) ).
thf(2373,plain,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ C @ A ) @ D )
=> ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[430]) ).
thf(705,axiom,
! [A: list_char > option_val,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char,I: list_val,J: list_list_char,K: list_ty] :
( ( ( size_s2113983095t_char @ J )
= ( size_size_list_ty @ K ) )
=> ( ( ( size_size_list_val @ I )
= ( size_size_list_ty @ K ) )
=> ( ( distinct_list_char @ J )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( map_up1085636310ar_val @ D @ J @ I ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( final_list_char @ E )
=> ( ( A
= ( overri2012515291on_val @ G @ D @ ( set_list_char @ J ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ J @ ( produc1909267824t_char @ K @ ( produc1916172923t_char @ I @ B ) ) ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ A ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1198_blocksRedsFinal) ).
thf(3312,plain,
! [A: list_char > option_val,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char,I: list_val,J: list_list_char,K: list_ty] :
( ( ( size_s2113983095t_char @ J )
= ( size_size_list_ty @ K ) )
=> ( ( ( size_size_list_val @ I )
= ( size_size_list_ty @ K ) )
=> ( ( distinct_list_char @ J )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( map_up1085636310ar_val @ D @ J @ I ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( final_list_char @ E )
=> ( ( A
= ( overri2012515291on_val @ G @ D @ ( set_list_char @ J ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ J @ ( produc1909267824t_char @ K @ ( produc1916172923t_char @ I @ B ) ) ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ A ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[705]) ).
thf(313,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_char,D: list_char,E: produc2090907612on_val] : ( redp @ A @ ( fAcc_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_908_redp__redsp_OFAccThrow) ).
thf(1931,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_char,D: list_char,E: produc2090907612on_val] : ( redp @ A @ ( fAcc_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[313]) ).
thf(565,axiom,
! [A: produc1282892786on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( produc1287763389_val_o @ A @ B @ C )
=> ( A @ ( produc235638504on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_496_curryE) ).
thf(2852,plain,
! [A: produc1282892786on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( produc1287763389_val_o @ A @ B @ C )
=> ( A @ ( produc235638504on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[565]) ).
thf(684,axiom,
! [A: produc1581780743on_val] :
~ ! [B: produc2090907612on_val,C: nat > option1728594148on_val,D: list_char > option_val] :
( A
!= ( produc259392253on_val @ B @ ( produc755559506on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_233_prod__cases3) ).
thf(3231,plain,
! [A: produc1581780743on_val] :
~ ! [B: produc2090907612on_val,C: nat > option1728594148on_val,D: list_char > option_val] :
( A
!= ( produc259392253on_val @ B @ ( produc755559506on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[684]) ).
thf(458,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( ( produc1208913941on_val @ A @ B )
= ( produc1208913941on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_125_Pair__eq) ).
thf(2456,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( ( produc1208913941on_val @ A @ B )
= ( produc1208913941on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[458]) ).
thf(599,axiom,
! [A: list_char,B: val,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char > option_ty] :
( ( lconf_496643946t_char @ D @ E @ F @ G )
=> ( ( conf_P373316194t_char @ D @ E @ B @ C )
=> ( lconf_496643946t_char @ D @ E @ ( fun_up1149430426on_val @ F @ A @ ( some_val @ B ) ) @ ( fun_up424764369ion_ty @ G @ A @ ( some_ty @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_375_lconf__upd2) ).
thf(2950,plain,
! [A: list_char,B: val,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char > option_ty] :
( ( lconf_496643946t_char @ D @ E @ F @ G )
=> ( ( conf_P373316194t_char @ D @ E @ B @ C )
=> ( lconf_496643946t_char @ D @ E @ ( fun_up1149430426on_val @ F @ A @ ( some_val @ B ) ) @ ( fun_up424764369ion_ty @ G @ A @ ( some_ty @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[599]) ).
thf(612,axiom,
! [A: list_char > option_val,B: option_val,C: list_char,D: list_char] :
( ( C != D )
=> ( ( fun_up1149430426on_val @ A @ D @ B @ C )
= ( A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_195_fun__upd__other) ).
thf(2996,plain,
! [A: list_char > option_val,B: option_val,C: list_char,D: list_char] :
( ( C != D )
=> ( ( fun_up1149430426on_val @ A @ D @ B @ C )
= ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[612]) ).
thf(405,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ A @ ( cond_list_char @ B @ C @ D ) @ E @ F @ G )
=> ( ! [H: produc2090907612on_val] :
( ( eval @ A @ B @ E @ ( val_list_char @ ( bool @ $true ) ) @ H )
=> ~ ( eval @ A @ C @ H @ F @ G ) )
=> ( ! [H: produc2090907612on_val] :
( ( eval @ A @ B @ E @ ( val_list_char @ ( bool @ $false ) ) @ H )
=> ~ ( eval @ A @ D @ H @ F @ G ) )
=> ~ ! [H: exp_list_char] :
( ( F
= ( throw_list_char @ H ) )
=> ~ ( eval @ A @ B @ E @ ( throw_list_char @ H ) @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1123_eval__cases_I10_J) ).
thf(2259,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ A @ ( cond_list_char @ B @ C @ D ) @ E @ F @ G )
=> ( ! [H: produc2090907612on_val] :
( ( eval @ A @ B @ E @ ( val_list_char @ ( bool @ $true ) ) @ H )
=> ~ ( eval @ A @ C @ H @ F @ G ) )
=> ( ! [H: produc2090907612on_val] :
( ( eval @ A @ B @ E @ ( val_list_char @ ( bool @ $false ) ) @ H )
=> ~ ( eval @ A @ D @ H @ F @ G ) )
=> ~ ! [H: exp_list_char] :
( ( F
= ( throw_list_char @ H ) )
=> ~ ( eval @ A @ B @ E @ ( throw_list_char @ H ) @ G ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[405]) ).
thf(504,axiom,
! [A: option_nat] :
( ( ! [B: nat] :
( A
!= ( some_nat @ B ) ) )
= ( A = none_nat ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_614_not__Some__eq) ).
thf(2650,plain,
! [A: option_nat] :
( ( ! [B: nat] :
( A
!= ( some_nat @ B ) ) )
= ( A = none_nat ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[504]) ).
thf(169,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ B @ C @ ( throw_list_char @ D ) @ E )
=> ( eval @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ D ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_910_eval__evals_OThrowThrow) ).
thf(1418,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ B @ C @ ( throw_list_char @ D ) @ E )
=> ( eval @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ D ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[169]) ).
thf(755,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( A @ B @ C )
=> ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_421_splitI) ).
thf(3473,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( A @ B @ C )
=> ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[755]) ).
thf(591,axiom,
! [A: list_exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ B @ A ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ D @ A ) @ E ) ) @ ( reds @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1162_red__reds_OListRed1) ).
thf(2925,plain,
! [A: list_exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ B @ A ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ D @ A ) @ E ) ) @ ( reds @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[591]) ).
thf(43,axiom,
! [A: ty] :
( ( is_refT @ A )
=> ( ( A != nt )
=> ~ ! [B: list_char] :
( A
!= ( class @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1122_refTE) ).
thf(937,plain,
! [A: ty] :
( ( is_refT @ A )
=> ( ( A != nt )
=> ~ ! [B: list_char] :
( A
!= ( class @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).
thf(786,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ G ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E @ B @ A ) @ F ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1108_CondReds2T) ).
thf(3569,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ G ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E @ B @ A ) @ F ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[786]) ).
thf(702,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ C @ A ) @ D )
=> ( member1913460000on_val @ ( produc833389609on_val @ B @ A ) @ ( transi2118771717on_val @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_728_rtrancl_Ortrancl__into__rtrancl) ).
thf(3290,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ C @ A ) @ D )
=> ( member1913460000on_val @ ( produc833389609on_val @ B @ A ) @ ( transi2118771717on_val @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[702]) ).
thf(422,axiom,
! [A: val,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( reds @ F ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ B ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ D ) @ E ) ) @ ( reds @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1158_red__reds_OListRed2) ).
thf(2335,plain,
! [A: val,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( reds @ F ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ B ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ A ) @ D ) @ E ) ) @ ( reds @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[422]) ).
thf(661,axiom,
! [A: produc1282892786on_val,B: produc1746408499on_val > $o] : ( member1913460000on_val @ ( produc833389609on_val @ A @ A ) @ ( transi2118771717on_val @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_661_rtrancl_Ortrancl__refl) ).
thf(3152,plain,
! [A: produc1282892786on_val,B: produc1746408499on_val > $o] : ( member1913460000on_val @ ( produc833389609on_val @ A @ A ) @ ( transi2118771717on_val @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[661]) ).
thf(353,axiom,
! [A: list_P1999446415t_char,B: val,C: list_char,D: list_char,E: exp_list_char,F: produc2090907612on_val] : ( redp @ A @ ( tryCatch_list_char @ ( val_list_char @ B ) @ C @ D @ E ) @ F @ ( val_list_char @ B ) @ F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_959_redp__redsp_ORedTry) ).
thf(2073,plain,
! [A: list_P1999446415t_char,B: val,C: list_char,D: list_char,E: exp_list_char,F: produc2090907612on_val] : ( redp @ A @ ( tryCatch_list_char @ ( val_list_char @ B ) @ C @ D @ E ) @ F @ ( val_list_char @ B ) @ F ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[353]) ).
thf(75,axiom,
! [A: list_list_char,B: exp_list_char,C: list_list_char,D: exp_list_char] :
( ( ( produc1147572817t_char @ A @ B )
= ( produc1147572817t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_142_Pair__eq) ).
thf(1051,plain,
! [A: list_list_char,B: exp_list_char,C: list_list_char,D: exp_list_char] :
( ( ( produc1147572817t_char @ A @ B )
= ( produc1147572817t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).
thf(252,axiom,
! [A: exp_list_char,B: exp_list_char] :
( ( fv @ ( while_list_char @ A @ B ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1083_fv__fvs_Osimps_I13_J) ).
thf(1714,plain,
! [A: exp_list_char,B: exp_list_char] :
( ( fv @ ( while_list_char @ A @ B ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[252]) ).
thf(339,axiom,
! [A: list_ty,B: produc662261637t_char,C: list_ty,D: produc662261637t_char] :
( ( ( produc1909267824t_char @ A @ B )
= ( produc1909267824t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_93_Pair__inject) ).
thf(2027,plain,
! [A: list_ty,B: produc662261637t_char,C: list_ty,D: produc662261637t_char] :
( ( ( produc1909267824t_char @ A @ B )
= ( produc1909267824t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[339]) ).
thf(280,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ G ) @ H )
=> ( eval @ D @ ( tryCatch_list_char @ E @ A @ B @ C ) @ F @ ( val_list_char @ G ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_958_Try) ).
thf(1811,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ G ) @ H )
=> ( eval @ D @ ( tryCatch_list_char @ E @ A @ B @ C ) @ F @ ( val_list_char @ G ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[280]) ).
thf(179,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty] :
( lconf_496643946t_char @ A @ B
@ ^ [D: list_char] : none_val
@ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_594_lconf__empty) ).
thf(1450,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty] :
( lconf_496643946t_char @ A @ B
@ ^ [D: list_char] : none_val
@ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[179]) ).
thf(86,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt @ E @ F @ G @ H @ nt )
=> ( ( wTrt @ E @ F @ G @ C @ D )
=> ( wTrt @ E @ F @ G @ ( fAss_list_char @ H @ A @ B @ C ) @ void ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1118_WTrt_H__WTrts_H_Ointros_I11_J) ).
thf(1109,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt @ E @ F @ G @ H @ nt )
=> ( ( wTrt @ E @ F @ G @ C @ D )
=> ( wTrt @ E @ F @ G @ ( fAss_list_char @ H @ A @ B @ C ) @ void ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).
thf(578,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_938_LAssRedsThrow) ).
thf(2893,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[578]) ).
thf(243,axiom,
! [A: exp_list_char,B: ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt_1 @ C @ D @ E @ F @ G )
=> ( ( wTrt_1 @ C @ D @ E @ A @ B )
=> ( wTrt_1 @ C @ D @ E @ ( seq_list_char @ F @ A ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_553_WTrtSeq) ).
thf(1682,plain,
! [A: exp_list_char,B: ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt_1 @ C @ D @ E @ F @ G )
=> ( ( wTrt_1 @ C @ D @ E @ A @ B )
=> ( wTrt_1 @ C @ D @ E @ ( seq_list_char @ F @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[243]) ).
thf(19,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_val,E: list_ty] :
( ( wTrts_1 @ A @ B @ C @ ( map_va1934808527t_char @ val_list_char @ D ) @ E )
= ( ( map_val_option_ty @ ( typeof_h @ B ) @ D )
= ( map_ty_option_ty @ some_ty @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1174_WTrts__Val) ).
thf(834,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_val,E: list_ty] :
( ( wTrts_1 @ A @ B @ C @ ( map_va1934808527t_char @ val_list_char @ D ) @ E )
= ( ( map_val_option_ty @ ( typeof_h @ B ) @ D )
= ( map_ty_option_ty @ some_ty @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).
thf(415,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( while_list_char @ B @ C ) @ D @ E @ F )
= ( eval @ A @ ( cond_list_char @ B @ ( seq_list_char @ C @ ( while_list_char @ B @ C ) ) @ ( val_list_char @ unit ) ) @ D @ E @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1106_unfold__while) ).
thf(2291,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( while_list_char @ B @ C ) @ D @ E @ F )
= ( eval @ A @ ( cond_list_char @ B @ ( seq_list_char @ C @ ( while_list_char @ B @ C ) ) @ ( val_list_char @ unit ) ) @ D @ E @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[415]) ).
thf(66,axiom,
! [A: produc1250491293on_val] :
~ ! [B: produc618524391on_val,C: produc1180562163on_val,D: produc1180562163on_val] :
( A
!= ( produc1347028499on_val @ B @ ( produc747700183on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_238_prod__cases3) ).
thf(1020,plain,
! [A: produc1250491293on_val] :
~ ! [B: produc618524391on_val,C: produc1180562163on_val,D: produc1180562163on_val] :
( A
!= ( produc1347028499on_val @ B @ ( produc747700183on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).
thf(403,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val] :
( ( ( fun_up204312361on_val @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_218_fun__upd__idem__iff) ).
thf(2254,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val] :
( ( ( fun_up204312361on_val @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[403]) ).
thf(731,axiom,
! [A: produc1282892786on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( produc1287763389_val_o @ A @ B @ C )
=> ( A @ ( produc235638504on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_512_curryD) ).
thf(3389,plain,
! [A: produc1282892786on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( produc1287763389_val_o @ A @ B @ C )
=> ( A @ ( produc235638504on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[731]) ).
thf(289,axiom,
! [A: produc220283002t_char] :
~ ! [B: list_ty,C: produc662261637t_char] :
( A
!= ( produc1909267824t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_320_PairE) ).
thf(1843,plain,
! [A: produc220283002t_char] :
~ ! [B: list_ty,C: produc662261637t_char] :
( A
!= ( produc1909267824t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[289]) ).
thf(453,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val] :
( ( ( produc1302104557on_val @ A @ B )
= ( produc1302104557on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_91_Pair__inject) ).
thf(2437,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val] :
( ( ( produc1302104557on_val @ A @ B )
= ( produc1302104557on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[453]) ).
thf(29,axiom,
! [A: nat > option1728594148on_val,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: list_exp_list_char,F: list_ty] :
( ( wTrts_1 @ B @ C @ D @ E @ F )
=> ( ( hext @ C @ A )
=> ( wTrts_1 @ B @ A @ D @ E @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1172_WTrts__hext__mono) ).
thf(877,plain,
! [A: nat > option1728594148on_val,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: list_exp_list_char,F: list_ty] :
( ( wTrts_1 @ B @ C @ D @ E @ F )
=> ( ( hext @ C @ A )
=> ( wTrts_1 @ B @ A @ D @ E @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).
thf(151,axiom,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_674_subsetD) ).
thf(1351,plain,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[151]) ).
thf(688,axiom,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] :
( A
!= ( produc833389609on_val @ B @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_43_prod__cases4) ).
thf(3243,plain,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] :
( A
!= ( produc833389609on_val @ B @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[688]) ).
thf(710,axiom,
! [A: list_char > option_val,B: nat > option1728594148on_val,C: list_P1999446415t_char,D: list_char,E: list_P2023964830har_ty,F: nat > option1728594148on_val,G: nat] :
( ( ( new_Addr @ F )
= ( some_nat @ G ) )
=> ( ( fields1147507508t_char @ C @ D @ E )
=> ( ( B
= ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ ( init_fields @ E ) ) ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( new_list_char @ D ) @ ( produc755559506on_val @ F @ A ) ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ B @ A ) ) ) @ ( red @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1131_red__reds_ORedNew) ).
thf(3327,plain,
! [A: list_char > option_val,B: nat > option1728594148on_val,C: list_P1999446415t_char,D: list_char,E: list_P2023964830har_ty,F: nat > option1728594148on_val,G: nat] :
( ( ( new_Addr @ F )
= ( some_nat @ G ) )
=> ( ( fields1147507508t_char @ C @ D @ E )
=> ( ( B
= ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ ( init_fields @ E ) ) ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( new_list_char @ D ) @ ( produc755559506on_val @ F @ A ) ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ B @ A ) ) ) @ ( red @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[710]) ).
thf(166,axiom,
! [A: $o,B: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ ( bool @ A ) @ B ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1073_binop_Osimps_I5_J) ).
thf(1405,plain,
! [A: $o,B: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ ( bool @ A ) @ B ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[166]) ).
thf(216,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( redp @ D @ E @ F @ G @ H )
=> ( redp @ D @ ( tryCatch_list_char @ E @ A @ B @ C ) @ F @ ( tryCatch_list_char @ G @ A @ B @ C ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_954_redp__redsp_OTryRed) ).
thf(1600,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( redp @ D @ E @ F @ G @ H )
=> ( redp @ D @ ( tryCatch_list_char @ E @ A @ B @ C ) @ F @ ( tryCatch_list_char @ G @ A @ B @ C ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[216]) ).
thf(118,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ A @ B )
=> ( ( ord_le1364969894_val_o @ B @ ( transi2118771717on_val @ A ) )
=> ( ( transi2118771717on_val @ B )
= ( transi2118771717on_val @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_681_rtrancl__subset) ).
thf(1242,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ A @ B )
=> ( ( ord_le1364969894_val_o @ B @ ( transi2118771717on_val @ A ) )
=> ( ( transi2118771717on_val @ B )
= ( transi2118771717on_val @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[118]) ).
thf(437,axiom,
! [A: list_char,B: nat > option1728594148on_val] :
( ( preallocated @ B )
=> ( ( member_list_char @ A @ sys_xcpts )
=> ? [C: produc1278157519t_char > option_val] :
( ( B @ ( addr_of_sys_xcpt @ A ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ A @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1075_preallocatedD) ).
thf(2392,plain,
! [A: list_char,B: nat > option1728594148on_val] :
( ( preallocated @ B )
=> ( ( member_list_char @ A @ sys_xcpts )
=> ? [C: produc1278157519t_char > option_val] :
( ( B @ ( addr_of_sys_xcpt @ A ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ A @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[437]) ).
thf(326,axiom,
! [A: val,B: list_char,C: exp_list_char] :
( ( val_list_char @ A )
!= ( lAss_list_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_577_exp_Osimps_I74_J) ).
thf(1975,plain,
! [A: val,B: list_char,C: exp_list_char] :
( ( val_list_char @ A )
!= ( lAss_list_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[326]) ).
thf(537,axiom,
! [A: list_char,B: ty,C: val,D: val,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ C ) ) @ ( val_list_char @ D ) ) ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( red @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_438_red__reds_ORedInitBlock) ).
thf(2762,plain,
! [A: list_char,B: ty,C: val,D: val,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ C ) ) @ ( val_list_char @ D ) ) ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( red @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[537]) ).
thf(559,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( ( B @ C )
= ( some_val @ D ) )
=> ( ( map_ad325961431ar_val @ A @ B @ C )
= ( some_val @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_470_map__add__find__right) ).
thf(2833,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( ( B @ C )
= ( some_val @ D ) )
=> ( ( map_ad325961431ar_val @ A @ B @ C )
= ( some_val @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[559]) ).
thf(671,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( val_list_char @ ( bool @ $true ) ) @ A @ B ) @ C ) @ ( produc235638504on_val @ A @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1104_red__reds_ORedCondT) ).
thf(3189,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( val_list_char @ ( bool @ $true ) ) @ A @ B ) @ C ) @ ( produc235638504on_val @ A @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[671]) ).
thf(622,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( tryCatch_list_char @ F @ A @ B @ C ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_969_TryReds) ).
thf(3036,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( tryCatch_list_char @ F @ A @ B @ C ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[622]) ).
thf(475,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ C @ A ) @ ( transi808828192on_val @ D ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ B @ A ) @ ( transi808828192on_val @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_730_rtrancl__trans) ).
thf(2530,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ C @ A ) @ ( transi808828192on_val @ D ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ B @ A ) @ ( transi808828192on_val @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[475]) ).
thf(149,axiom,
! [A: list_char > option_ty,B: list_char,C: ty,D: list_char,E: ty] :
( ( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) @ D )
= ( some_ty @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_ty @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_8_map__upd__Some__unfold) ).
thf(1345,plain,
! [A: list_char > option_ty,B: list_char,C: ty,D: list_char,E: ty] :
( ( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) @ D )
= ( some_ty @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_ty @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[149]) ).
thf(413,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: val,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ null ) @ I )
=> ( ( eval @ F @ C @ I @ ( val_list_char @ D ) @ E )
=> ( eval @ F @ ( fAss_list_char @ G @ A @ B @ C ) @ H @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1044_FAssNull) ).
thf(2286,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: val,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ null ) @ I )
=> ( ( eval @ F @ C @ I @ ( val_list_char @ D ) @ E )
=> ( eval @ F @ ( fAss_list_char @ G @ A @ B @ C ) @ H @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[413]) ).
thf(318,axiom,
! [A: list_char > option_ty,B: list_char,C: ty] :
~ ! [D: list_char] :
( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) @ D )
= none_ty ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_641_map__upd__nonempty) ).
thf(1943,plain,
! [A: list_char > option_ty,B: list_char,C: ty] :
~ ! [D: list_char] :
( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) @ D )
= none_ty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[318]) ).
thf(112,axiom,
! [A: produc630464863al_val] :
~ ! [B: produc1645268488al_val,C: bop,D: val,E: val] :
( A
!= ( produc1924279125al_val @ B @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_48_prod__cases4) ).
thf(1201,plain,
! [A: produc630464863al_val] :
~ ! [B: produc1645268488al_val,C: bop,D: val,E: val] :
( A
!= ( produc1924279125al_val @ B @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[112]) ).
thf(247,axiom,
! [A: list_char > option_ty,B: list_char,C: option_ty,D: option_ty] :
( ( fun_up424764369ion_ty @ ( fun_up424764369ion_ty @ A @ B @ C ) @ B @ D )
= ( fun_up424764369ion_ty @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_212_fun__upd__upd) ).
thf(1696,plain,
! [A: list_char > option_ty,B: list_char,C: option_ty,D: option_ty] :
( ( fun_up424764369ion_ty @ ( fun_up424764369ion_ty @ A @ B @ C ) @ B @ D )
= ( fun_up424764369ion_ty @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[247]) ).
thf(491,axiom,
! [A: produc618524391on_val > $o] :
( ( transi808828192on_val @ ( transi808828192on_val @ A ) )
= ( transi808828192on_val @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_718_rtrancl__idemp) ).
thf(2586,plain,
! [A: produc618524391on_val > $o] :
( ( transi808828192on_val @ ( transi808828192on_val @ A ) )
= ( transi808828192on_val @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[491]) ).
thf(607,axiom,
! [A: produc1180562163on_val] :
~ ! [B: list_exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val] :
( A
!= ( produc1302104557on_val @ B @ ( produc755559506on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_227_prod__cases3) ).
thf(2982,plain,
! [A: produc1180562163on_val] :
~ ! [B: list_exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val] :
( A
!= ( produc1302104557on_val @ B @ ( produc755559506on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[607]) ).
thf(294,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: list_char > option_val,F: nat > option1728594148on_val,G: nat,H: list_char,I: produc1278157519t_char > option_val] :
( ( ( F @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ H @ I ) ) )
=> ( redp @ A @ ( fAss_list_char @ ( val_list_char @ ( addr @ G ) ) @ B @ C @ ( val_list_char @ D ) ) @ ( produc755559506on_val @ F @ E ) @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ H @ ( fun_up204312361on_val @ I @ ( produc5062597t_char @ B @ C ) @ ( some_val @ D ) ) ) ) ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_901_redp__redsp_ORedFAss) ).
thf(1863,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: list_char > option_val,F: nat > option1728594148on_val,G: nat,H: list_char,I: produc1278157519t_char > option_val] :
( ( ( F @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ H @ I ) ) )
=> ( redp @ A @ ( fAss_list_char @ ( val_list_char @ ( addr @ G ) ) @ B @ C @ ( val_list_char @ D ) ) @ ( produc755559506on_val @ F @ E ) @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ H @ ( fun_up204312361on_val @ I @ ( produc5062597t_char @ B @ C ) @ ( some_val @ D ) ) ) ) ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[294]) ).
thf(683,axiom,
! [A: val,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ ( val_list_char @ A ) @ B ) @ C ) @ ( produc235638504on_val @ B @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_457_red__reds_ORedSeq) ).
thf(3229,plain,
! [A: val,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ ( val_list_char @ A ) @ B ) @ C ) @ ( produc235638504on_val @ B @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[683]) ).
thf(40,axiom,
! [A: produc618524391on_val,B: produc618524391on_val,C: produc618524391on_val,D: produc618524391on_val] :
( ( ( produc1347028499on_val @ A @ B )
= ( produc1347028499on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_65_Pair__inject) ).
thf(920,plain,
! [A: produc618524391on_val,B: produc618524391on_val,C: produc618524391on_val,D: produc618524391on_val] :
( ( ( produc1347028499on_val @ A @ B )
= ( produc1347028499on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).
thf(749,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_917_FAccRedsThrow) ).
thf(3459,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[749]) ).
thf(585,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( eval @ E @ A @ B @ C @ D )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_850_big__by__small) ).
thf(2910,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ E )
=> ( ( eval @ E @ A @ B @ C @ D )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[585]) ).
thf(785,axiom,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ ( throw_list_char @ D ) ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( red @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_937_red__reds_OFAssThrow2) ).
thf(3567,plain,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ ( throw_list_char @ D ) ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( red @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[785]) ).
thf(137,axiom,
! [A: produc1278157519t_char > option_val,B: nat,C: list_char,D: produc1278157519t_char > option_val,E: nat > option1728594148on_val] :
( ( preallocated @ E )
=> ( ( ( E @ B )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ D ) ) )
=> ( preallocated @ ( fun_up1472480727on_val @ E @ B @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_980_preallocated__upd__obj) ).
thf(1306,plain,
! [A: produc1278157519t_char > option_val,B: nat,C: list_char,D: produc1278157519t_char > option_val,E: nat > option1728594148on_val] :
( ( preallocated @ E )
=> ( ( ( E @ B )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ D ) ) )
=> ( preallocated @ ( fun_up1472480727on_val @ E @ B @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[137]) ).
thf(111,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: bop,D: exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( binOp_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_957_redp__redsp_OBinOpThrow1) ).
thf(1199,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: bop,D: exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( binOp_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[111]) ).
thf(528,axiom,
! [A: produc1282892786on_val] :
~ ! [B: exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc235638504on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_329_PairE) ).
thf(2737,plain,
! [A: produc1282892786on_val] :
~ ! [B: exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc235638504on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[528]) ).
thf(77,axiom,
! [A: produc2088785539on_val] :
( none_P1260844216on_val
!= ( some_P451527732on_val @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_606_option_Osimps_I2_J) ).
thf(1057,plain,
! [A: produc2088785539on_val] :
( none_P1260844216on_val
!= ( some_P451527732on_val @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).
thf(344,axiom,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ null ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1040_binop_Osimps_I8_J) ).
thf(2047,plain,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ null ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[344]) ).
thf(707,axiom,
! [A: val,B: bop,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ ( throw_list_char @ C ) ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_971_red__reds_OBinOpThrow2) ).
thf(3318,plain,
! [A: val,B: bop,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ ( throw_list_char @ C ) ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[707]) ).
thf(139,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char] :
( ( wTrt_1 @ A @ B @ C @ D @ ( class @ E ) )
=> ( ( final_list_char @ D )
=> ( ! [F: nat] :
( D
!= ( val_list_char @ ( addr @ F ) ) )
=> ~ ! [F: nat] :
( D
!= ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_997_final__addrE) ).
thf(1311,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char] :
( ( wTrt_1 @ A @ B @ C @ D @ ( class @ E ) )
=> ( ( final_list_char @ D )
=> ( ! [F: nat] :
( D
!= ( val_list_char @ ( addr @ F ) ) )
=> ~ ! [F: nat] :
( D
!= ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[139]) ).
thf(396,axiom,
! [A: val,B: list_char,C: list_P1999446415t_char,D: list_exp_list_char,E: produc2090907612on_val,F: list_exp_list_char,G: produc2090907612on_val] :
( ( redsp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( call_list_char @ ( val_list_char @ A ) @ B @ D ) @ E @ ( call_list_char @ ( val_list_char @ A ) @ B @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1181_redp__redsp_OCallParams) ).
thf(2232,plain,
! [A: val,B: list_char,C: list_P1999446415t_char,D: list_exp_list_char,E: produc2090907612on_val,F: list_exp_list_char,G: produc2090907612on_val] :
( ( redsp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( call_list_char @ ( val_list_char @ A ) @ B @ D ) @ E @ ( call_list_char @ ( val_list_char @ A ) @ B @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[396]) ).
thf(418,axiom,
! [A: list_char,B: list_P1999446415t_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ E @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ B ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( val_list_char @ ( addr @ D ) ) ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ D ) ) @ C ) ) @ ( red @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_995_red__reds_ORedCast) ).
thf(2307,plain,
! [A: list_char,B: list_P1999446415t_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ E @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ B ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( val_list_char @ ( addr @ D ) ) ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ D ) ) @ C ) ) @ ( red @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[418]) ).
thf(583,axiom,
! [A: produc2090907612on_val,B: list_P1999446415t_char,C: bop,D: val,E: val,F: val] :
( ( ( binop @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) )
= ( some_val @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ D ) @ C @ ( val_list_char @ E ) ) @ A ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ A ) ) @ ( red @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1004_red__reds_ORedBinOp) ).
thf(2905,plain,
! [A: produc2090907612on_val,B: list_P1999446415t_char,C: bop,D: val,E: val,F: val] :
( ( ( binop @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) )
= ( some_val @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ D ) @ C @ ( val_list_char @ E ) ) @ A ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ A ) ) @ ( red @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[583]) ).
thf(434,axiom,
! [A: produc1180562163on_val,B: produc618524391on_val > $o] : ( member2042188884on_val @ ( produc747700183on_val @ A @ A ) @ ( transi808828192on_val @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_659_rtrancl_Ortrancl__refl) ).
thf(2382,plain,
! [A: produc1180562163on_val,B: produc618524391on_val > $o] : ( member2042188884on_val @ ( produc747700183on_val @ A @ A ) @ ( transi808828192on_val @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[434]) ).
thf(779,axiom,
! [A: produc1282892786on_val > $o] :
( ( ? [B: produc1282892786on_val] : ( A @ B ) )
= ( ? [B: exp_list_char,C: produc2090907612on_val] : ( A @ ( produc235638504on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_345_split__paired__Ex) ).
thf(3550,plain,
! [A: produc1282892786on_val > $o] :
( ( ? [B: produc1282892786on_val] : ( A @ B ) )
= ( ? [B: exp_list_char,C: produc2090907612on_val] : ( A @ ( produc235638504on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[779]) ).
thf(542,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( cond_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1102_CondReds) ).
thf(2773,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( cond_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[542]) ).
thf(492,axiom,
! [A: produc1180562163on_val > $o,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( A @ B )
=> ( ! [E: produc1180562163on_val,F: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ E ) @ ( transi808828192on_val @ D ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ E @ F ) @ D )
=> ( ( A @ E )
=> ( A @ F ) ) ) )
=> ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_796_rtrancl__induct) ).
thf(2589,plain,
! [A: produc1180562163on_val > $o,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( A @ B )
=> ( ! [E: produc1180562163on_val,F: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ E ) @ ( transi808828192on_val @ D ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ E @ F ) @ D )
=> ( ( A @ E )
=> ( A @ F ) ) ) )
=> ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[492]) ).
thf(519,axiom,
! [A: nat > option1728594148on_val,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char > option_ty] :
( ( lconf_496643946t_char @ B @ C @ D @ E )
=> ( ( hext @ C @ A )
=> ( lconf_496643946t_char @ B @ A @ D @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_456_lconf__hext) ).
thf(2705,plain,
! [A: nat > option1728594148on_val,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char > option_ty] :
( ( lconf_496643946t_char @ B @ C @ D @ E )
=> ( ( hext @ C @ A )
=> ( lconf_496643946t_char @ B @ A @ D @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[519]) ).
thf(552,axiom,
! [A: bop,B: val,C: exp_list_char,D: val,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: val,I: produc2090907612on_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ H ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ I ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( ( binop @ ( produc621191550al_val @ A @ ( product_Pair_val_val @ H @ D ) ) )
= ( some_val @ B ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ F @ A @ C ) @ G ) @ ( produc235638504on_val @ ( val_list_char @ B ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_998_BinOpRedsVal) ).
thf(2805,plain,
! [A: bop,B: val,C: exp_list_char,D: val,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: val,I: produc2090907612on_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ H ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ I ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( ( binop @ ( produc621191550al_val @ A @ ( product_Pair_val_val @ H @ D ) ) )
= ( some_val @ B ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ F @ A @ C ) @ G ) @ ( produc235638504on_val @ ( val_list_char @ B ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[552]) ).
thf(478,axiom,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_699_in__mono) ).
thf(2541,plain,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[478]) ).
thf(409,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty,F: list_val,G: list_list_char,H: list_ty] :
( ( ( size_s2113983095t_char @ G )
= ( size_size_list_ty @ H ) )
=> ( ( ( size_size_list_val @ F )
= ( size_size_list_ty @ H ) )
=> ( ( wTrt_1 @ A @ B @ C @ ( blocks @ ( produc921874948t_char @ G @ ( produc1909267824t_char @ H @ ( produc1916172923t_char @ F @ D ) ) ) ) @ E )
= ( ( wTrt_1 @ A @ B @ ( map_up891053837har_ty @ C @ G @ H ) @ D @ E )
& ? [I: list_ty] :
( ( ( map_val_option_ty @ ( typeof_h @ B ) @ F )
= ( map_ty_option_ty @ some_ty @ I ) )
& ( list_all2_ty_ty @ ( widen_2090681816t_char @ A ) @ I @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1190_wt__blocks) ).
thf(2277,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty,F: list_val,G: list_list_char,H: list_ty] :
( ( ( size_s2113983095t_char @ G )
= ( size_size_list_ty @ H ) )
=> ( ( ( size_size_list_val @ F )
= ( size_size_list_ty @ H ) )
=> ( ( wTrt_1 @ A @ B @ C @ ( blocks @ ( produc921874948t_char @ G @ ( produc1909267824t_char @ H @ ( produc1916172923t_char @ F @ D ) ) ) ) @ E )
= ( ( wTrt_1 @ A @ B @ ( map_up891053837har_ty @ C @ G @ H ) @ D @ E )
& ? [I: list_ty] :
( ( ( map_val_option_ty @ ( typeof_h @ B ) @ F )
= ( map_ty_option_ty @ some_ty @ I ) )
& ( list_all2_ty_ty @ ( widen_2090681816t_char @ A ) @ I @ H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[409]) ).
thf(91,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_val,D: produc2090907612on_val] : ( redp @ A @ ( call_list_char @ ( val_list_char @ null ) @ B @ ( map_va1934808527t_char @ val_list_char @ C ) ) @ D @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1135_redp__redsp_ORedCallNull) ).
thf(1123,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_val,D: produc2090907612on_val] : ( redp @ A @ ( call_list_char @ ( val_list_char @ null ) @ B @ ( map_va1934808527t_char @ val_list_char @ C ) ) @ D @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).
thf(371,axiom,
! [A: produc349695911t_char] :
~ ! [B: produc1285161482t_char,C: list_list_char,D: list_ty,E: list_val,F: exp_list_char] :
( A
!= ( produc24551831t_char @ B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ E @ F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_27_prod__cases5) ).
thf(2147,plain,
! [A: produc349695911t_char] :
~ ! [B: produc1285161482t_char,C: list_list_char,D: list_ty,E: list_val,F: exp_list_char] :
( A
!= ( produc24551831t_char @ B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ E @ F ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[371]) ).
thf(15,axiom,
! [A: produc2088785539on_val,B: nat,C: nat > option1728594148on_val] :
( ( preallocated @ C )
=> ( ( ( C @ B )
= none_P1260844216on_val )
=> ( preallocated @ ( fun_up1472480727on_val @ C @ B @ ( some_P451527732on_val @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_978_preallocated__new) ).
thf(820,plain,
! [A: produc2088785539on_val,B: nat,C: nat > option1728594148on_val] :
( ( preallocated @ C )
=> ( ( ( C @ B )
= none_P1260844216on_val )
=> ( preallocated @ ( fun_up1472480727on_val @ C @ B @ ( some_P451527732on_val @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).
thf(629,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc1746408499on_val > $o,F: produc1746408499on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A @ B ) @ ( produc833389609on_val @ C @ D ) ) @ ( lex_pr296420417on_val @ E @ F ) )
= ( ( member1913460000on_val @ ( produc833389609on_val @ A @ C ) @ E )
| ( ( A = C )
& ( member1913460000on_val @ ( produc833389609on_val @ B @ D ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_391_in__lex__prod) ).
thf(3069,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc1746408499on_val > $o,F: produc1746408499on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A @ B ) @ ( produc833389609on_val @ C @ D ) ) @ ( lex_pr296420417on_val @ E @ F ) )
= ( ( member1913460000on_val @ ( produc833389609on_val @ A @ C ) @ E )
| ( ( A = C )
& ( member1913460000on_val @ ( produc833389609on_val @ B @ D ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[629]) ).
thf(724,axiom,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_961_red__reds_OBinOpRed1) ).
thf(3371,plain,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[724]) ).
thf(662,axiom,
! [A: list_char > option_val,B: list_char,C: val] :
( ( ( A @ B )
= ( some_val @ C ) )
=> ( member_list_char @ B @ ( dom_list_char_val @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_464_domI) ).
thf(3154,plain,
! [A: list_char > option_val,B: list_char,C: val] :
( ( ( A @ B )
= ( some_val @ C ) )
=> ( member_list_char @ B @ ( dom_list_char_val @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[662]) ).
thf(677,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val] :
( ( ( produc235638504on_val @ A @ B )
= ( produc235638504on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_84_Pair__inject) ).
thf(3207,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val] :
( ( ( produc235638504on_val @ A @ B )
= ( produc235638504on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[677]) ).
thf(304,axiom,
! [A: produc1645268488al_val] :
~ ! [B: bop,C: val,D: val] :
( A
!= ( produc621191550al_val @ B @ ( product_Pair_val_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_225_prod__cases3) ).
thf(1900,plain,
! [A: produc1645268488al_val] :
~ ! [B: bop,C: val,D: val] :
( A
!= ( produc621191550al_val @ B @ ( product_Pair_val_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[304]) ).
thf(255,axiom,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: nat,D: nat] :
( ( ( C = D )
=> ( ( fun_up1472480727on_val @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up1472480727on_val @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_205_fun__upd__apply) ).
thf(1723,plain,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: nat,D: nat] :
( ( ( C = D )
=> ( ( fun_up1472480727on_val @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up1472480727on_val @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[255]) ).
thf(37,axiom,
! [A: exp_list_char,B: ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt @ C @ D @ E @ F @ G )
=> ( ( wTrt @ C @ D @ E @ A @ B )
=> ( wTrt @ C @ D @ E @ ( seq_list_char @ F @ A ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1020_WTrt_H__WTrts_H_Ointros_I18_J) ).
thf(910,plain,
! [A: exp_list_char,B: ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt @ C @ D @ E @ F @ G )
=> ( ( wTrt @ C @ D @ E @ A @ B )
=> ( wTrt @ C @ D @ E @ ( seq_list_char @ F @ A ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).
thf(105,axiom,
! [A: produc1250491293on_val,B: produc1250491293on_val > $o] :
( ! [C: produc618524391on_val,D: produc1180562163on_val,E: list_exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] : ( B @ ( produc1347028499on_val @ C @ ( produc747700183on_val @ D @ ( produc1302104557on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_20_prod__induct5) ).
thf(1174,plain,
! [A: produc1250491293on_val,B: produc1250491293on_val > $o] :
( ! [C: produc618524391on_val,D: produc1180562163on_val,E: list_exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] : ( B @ ( produc1347028499on_val @ C @ ( produc747700183on_val @ D @ ( produc1302104557on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[105]) ).
thf(241,axiom,
! [A: list_char,B: list_P1999446415t_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ E @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ B ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( val_list_char @ ( addr @ D ) ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ C ) ) @ ( red @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1003_red__reds_ORedCastFail) ).
thf(1676,plain,
! [A: list_char,B: list_P1999446415t_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ E @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ B ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( val_list_char @ ( addr @ D ) ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ C ) ) @ ( red @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[241]) ).
thf(366,axiom,
! [A: list_P1999446415t_char,B: val,C: list_char,D: list_char,E: exp_list_char,F: produc2090907612on_val] : ( redp @ A @ ( fAss_list_char @ ( val_list_char @ B ) @ C @ D @ ( throw_list_char @ E ) ) @ F @ ( throw_list_char @ E ) @ F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_929_redp__redsp_OFAssThrow2) ).
thf(2133,plain,
! [A: list_P1999446415t_char,B: val,C: list_char,D: list_char,E: exp_list_char,F: produc2090907612on_val] : ( redp @ A @ ( fAss_list_char @ ( val_list_char @ B ) @ C @ D @ ( throw_list_char @ E ) ) @ F @ ( throw_list_char @ E ) @ F ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[366]) ).
thf(3,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_exp_list_char,E: list_ty] :
( ( wTrts @ A @ B @ C @ D @ E )
=> ( wTrts_1 @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1194_wts_H__wts) ).
thf(788,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_exp_list_char,E: list_ty] :
( ( wTrts @ A @ B @ C @ D @ E )
=> ( wTrts_1 @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).
thf(157,axiom,
! [A: list_P1999446415t_char,B: list_char,C: produc1013743697t_char] :
( ( wf_J_mdecl @ A @ B @ C )
=> ( wwf_J_mdecl @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_832_wf__mdecl__wwf__mdecl) ).
thf(1370,plain,
! [A: list_P1999446415t_char,B: list_char,C: produc1013743697t_char] :
( ( wf_J_mdecl @ A @ B @ C )
=> ( wwf_J_mdecl @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[157]) ).
thf(608,axiom,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_967_BinOp1Reds) ).
thf(2986,plain,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[608]) ).
thf(13,axiom,
! [A: list_exp_list_char,B: list_ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt_1 @ C @ D @ E @ F @ G )
=> ( ( wTrts_1 @ C @ D @ E @ A @ B )
=> ( wTrts_1 @ C @ D @ E @ ( cons_exp_list_char @ F @ A ) @ ( cons_ty @ G @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1171_WTrtCons) ).
thf(815,plain,
! [A: list_exp_list_char,B: list_ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt_1 @ C @ D @ E @ F @ G )
=> ( ( wTrts_1 @ C @ D @ E @ A @ B )
=> ( wTrts_1 @ C @ D @ E @ ( cons_exp_list_char @ F @ A ) @ ( cons_ty @ G @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).
thf(445,axiom,
! [A: list_P1999446415t_char,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val] :
( ( redsp @ A @ B @ C @ D @ E )
= ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( reds @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1177_redsp__reds__eq) ).
thf(2414,plain,
! [A: list_P1999446415t_char,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val] :
( ( redsp @ A @ B @ C @ D @ E )
= ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( reds @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[445]) ).
thf(690,axiom,
! [A: val] :
( ( the_val @ ( some_val @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_685_the_Osimps) ).
thf(3250,plain,
! [A: val] :
( ( the_val @ ( some_val @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[690]) ).
thf(754,axiom,
! [A: produc2090907612on_val,B: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ null ) ) @ A ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ A ) ) @ ( red @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1048_red__reds_ORedThrowNull) ).
thf(3471,plain,
! [A: produc2090907612on_val,B: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ null ) ) @ A ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ A ) ) @ ( red @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[754]) ).
thf(701,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val,C: produc1746408499on_val > $o] :
( ( ~ ( member1913460000on_val @ B @ C )
=> ( member1913460000on_val @ B @ A ) )
=> ( member1913460000on_val @ B @ ( semila1505903696_val_o @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_872_UnCI) ).
thf(3286,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val,C: produc1746408499on_val > $o] :
( ( ~ ( member1913460000on_val @ B @ C )
=> ( member1913460000on_val @ B @ A ) )
=> ( member1913460000on_val @ B @ ( semila1505903696_val_o @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[701]) ).
thf(217,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat,D: produc2088785539on_val] :
( ( map_ad1851375512on_val @ A @ ( fun_up1472480727on_val @ B @ C @ ( some_P451527732on_val @ D ) ) )
= ( fun_up1472480727on_val @ ( map_ad1851375512on_val @ A @ B ) @ C @ ( some_P451527732on_val @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_515_map__add__upd) ).
thf(1602,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat,D: produc2088785539on_val] :
( ( map_ad1851375512on_val @ A @ ( fun_up1472480727on_val @ B @ C @ ( some_P451527732on_val @ D ) ) )
= ( fun_up1472480727on_val @ ( map_ad1851375512on_val @ A @ B ) @ C @ ( some_P451527732on_val @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[217]) ).
thf(510,axiom,
! [A: $o] :
( ( bool @ A )
!= unit ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1069_val_Osimps_I7_J) ).
thf(2670,plain,
! [A: $o] :
( ( bool @ A )
!= unit ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[510]) ).
thf(25,axiom,
! [A: ty,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: exp_list_char,F: ty] :
( ( wTrt @ B @ C @ D @ E @ F )
=> ( ( is_refT @ F )
=> ( wTrt @ B @ C @ D @ ( throw_list_char @ E ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1024_WTrt_H__WTrts_H_Ointros_I21_J) ).
thf(852,plain,
! [A: ty,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: exp_list_char,F: ty] :
( ( wTrt @ B @ C @ D @ E @ F )
=> ( ( is_refT @ F )
=> ( wTrt @ B @ C @ D @ ( throw_list_char @ E ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).
thf(106,axiom,
! [A: list_char,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( val_list_char @ null ) @ F )
=> ( eval @ C @ ( fAcc_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1045_FAccNull) ).
thf(1178,plain,
! [A: list_char,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( val_list_char @ null ) @ F )
=> ( eval @ C @ ( fAcc_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[106]) ).
thf(386,axiom,
! [A: list_char,B: exp_list_char] :
( ( assigned @ A @ B )
= ( ? [C: val,D: exp_list_char] :
( B
= ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ C ) ) @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_658_assigned__def) ).
thf(2200,plain,
! [A: list_char,B: exp_list_char] :
( ( assigned @ A @ B )
= ( ? [C: val,D: exp_list_char] :
( B
= ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ C ) ) @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[386]) ).
thf(33,axiom,
! [A: list_list_char,B: exp_list_char,C: list_list_char,D: exp_list_char] :
( ( ( produc1147572817t_char @ A @ B )
= ( produc1147572817t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_98_Pair__inject) ).
thf(889,plain,
! [A: list_list_char,B: exp_list_char,C: list_list_char,D: exp_list_char] :
( ( ( produc1147572817t_char @ A @ B )
= ( produc1147572817t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).
thf(103,axiom,
! [A: list_P1999446415t_char,B: val,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ ( val_list_char @ B ) @ C @ D @ E )
=> ~ ( ( D
= ( val_list_char @ B ) )
=> ( E != C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_885_eval__cases_I2_J) ).
thf(1159,plain,
! [A: list_P1999446415t_char,B: val,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ ( val_list_char @ B ) @ C @ D @ E )
=> ~ ( ( D
= ( val_list_char @ B ) )
=> ( E != C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[103]) ).
thf(426,axiom,
! [A: list_char > option_ty,B: list_char] :
( ( fun_up424764369ion_ty @ A @ B @ ( A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_3_fun__upd__triv) ).
thf(2345,plain,
! [A: list_char > option_ty,B: list_char] :
( ( fun_up424764369ion_ty @ A @ B @ ( A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[426]) ).
thf(93,axiom,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: produc220283002t_char] :
( A
!= ( produc921874948t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_305_prod_Oexhaust) ).
thf(1128,plain,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: produc220283002t_char] :
( A
!= ( produc921874948t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).
thf(529,axiom,
! [A: val,B: list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( reds @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( red @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1151_red__reds_OCallParams) ).
thf(2741,plain,
! [A: val,B: list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( reds @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( red @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[529]) ).
thf(364,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( while_list_char @ B @ C ) @ D @ E @ F )
=> ( ( ( E
= ( val_list_char @ unit ) )
=> ~ ( eval @ A @ B @ D @ ( val_list_char @ ( bool @ $false ) ) @ F ) )
=> ( ! [G: produc2090907612on_val] :
( ( eval @ A @ B @ D @ ( val_list_char @ ( bool @ $true ) ) @ G )
=> ! [H: val,I: produc2090907612on_val] :
( ( eval @ A @ C @ G @ ( val_list_char @ H ) @ I )
=> ~ ( eval @ A @ ( while_list_char @ B @ C ) @ I @ E @ F ) ) )
=> ( ! [G: exp_list_char] :
( ( E
= ( throw_list_char @ G ) )
=> ~ ( eval @ A @ B @ D @ ( throw_list_char @ G ) @ F ) )
=> ~ ! [G: produc2090907612on_val,H: exp_list_char] :
( ( E
= ( throw_list_char @ H ) )
=> ( ( eval @ A @ B @ D @ ( val_list_char @ ( bool @ $true ) ) @ G )
=> ~ ( eval @ A @ C @ G @ ( throw_list_char @ H ) @ F ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1090_eval__cases_I11_J) ).
thf(2112,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( while_list_char @ B @ C ) @ D @ E @ F )
=> ( ( ( E
= ( val_list_char @ unit ) )
=> ~ ( eval @ A @ B @ D @ ( val_list_char @ ( bool @ $false ) ) @ F ) )
=> ( ! [G: produc2090907612on_val] :
( ( eval @ A @ B @ D @ ( val_list_char @ ( bool @ $true ) ) @ G )
=> ! [H: val,I: produc2090907612on_val] :
( ( eval @ A @ C @ G @ ( val_list_char @ H ) @ I )
=> ~ ( eval @ A @ ( while_list_char @ B @ C ) @ I @ E @ F ) ) )
=> ( ! [G: exp_list_char] :
( ( E
= ( throw_list_char @ G ) )
=> ~ ( eval @ A @ B @ D @ ( throw_list_char @ G ) @ F ) )
=> ~ ! [G: produc2090907612on_val,H: exp_list_char] :
( ( E
= ( throw_list_char @ H ) )
=> ( ( eval @ A @ B @ D @ ( val_list_char @ ( bool @ $true ) ) @ G )
=> ~ ( eval @ A @ C @ G @ ( throw_list_char @ H ) @ F ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[364]) ).
thf(54,axiom,
! [A: list_char] :
( void
!= ( class @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1059_ty_Osimps_I8_J) ).
thf(974,plain,
! [A: list_char] :
( void
!= ( class @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).
thf(540,axiom,
! [A: list_char > option_ty,B: ty,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( red @ I ) )
=> ( ( wTrt_1 @ I @ D @ A @ C @ B )
=> ( ( lconf_496643946t_char @ I @ D @ E @ A )
=> ( lconf_496643946t_char @ I @ G @ H @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_221_red__preserves__lconf) ).
thf(2769,plain,
! [A: list_char > option_ty,B: ty,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( red @ I ) )
=> ( ( wTrt_1 @ I @ D @ A @ C @ B )
=> ( ( lconf_496643946t_char @ I @ D @ E @ A )
=> ( lconf_496643946t_char @ I @ G @ H @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[540]) ).
thf(39,axiom,
! [A: produc809539159t_char] :
~ ! [B: list_list_char,C: exp_list_char] :
( A
!= ( produc1147572817t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_299_prod_Oexhaust) ).
thf(916,plain,
! [A: produc809539159t_char] :
~ ! [B: list_list_char,C: exp_list_char] :
( A
!= ( produc1147572817t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).
thf(695,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $false ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ G ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E @ A @ B ) @ F ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1109_CondReds2F) ).
thf(3271,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $false ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ G ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ E @ A @ B ) @ F ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[695]) ).
thf(672,axiom,
! [A: produc652964533on_val,B: produc652964533on_val > $o] :
( ! [C: produc1746408499on_val,D: produc1282892786on_val,E: exp_list_char,F: produc2090907612on_val] : ( B @ ( produc345758123on_val @ C @ ( produc833389609on_val @ D @ ( produc235638504on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_35_prod__induct4) ).
thf(3191,plain,
! [A: produc652964533on_val,B: produc652964533on_val > $o] :
( ! [C: produc1746408499on_val,D: produc1282892786on_val,E: exp_list_char,F: produc2090907612on_val] : ( B @ ( produc345758123on_val @ C @ ( produc833389609on_val @ D @ ( produc235638504on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[672]) ).
thf(316,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1029_FAccRedsNull) ).
thf(1938,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[316]) ).
thf(674,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ! [C: produc1282892786on_val,D: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ B )
= ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_294_pred__equals__eq2) ).
thf(3198,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ! [C: produc1282892786on_val,D: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ B )
= ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[674]) ).
thf(30,axiom,
! [A: list_char] :
( ( class @ A )
!= nt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1111_ty_Osimps_I21_J) ).
thf(879,plain,
! [A: list_char] :
( ( class @ A )
!= nt ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).
thf(654,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( throw_list_char @ B ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_989_red__reds_OCastThrow) ).
thf(3137,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( throw_list_char @ B ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[654]) ).
thf(763,axiom,
! [A: list_char,B: list_char] :
( ( fun_up1149430426on_val
@ ^ [C: list_char] : none_val
@ A
@ none_val
@ B )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_635_empty__upd__none) ).
thf(3499,plain,
! [A: list_char,B: list_char] :
( ( fun_up1149430426on_val
@ ^ [C: list_char] : none_val
@ A
@ none_val
@ B )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[763]) ).
thf(627,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( produc1835097372_val_o @ A @ ( produc235638504on_val @ B @ C ) )
=> ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_454_splitD) ).
thf(3065,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( produc1835097372_val_o @ A @ ( produc235638504on_val @ B @ C ) )
=> ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[627]) ).
thf(716,axiom,
! [A: list_char,B: list_char,C: val,D: list_char,E: produc1278157519t_char > option_val,F: exp_list_char,G: produc2090907612on_val,H: nat,I: produc2090907612on_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ H ) ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( ( hp @ I @ H )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ( ( E @ ( produc5062597t_char @ A @ B ) )
= ( some_val @ C ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ F @ A @ B ) @ G ) @ ( produc235638504on_val @ ( val_list_char @ C ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_903_FAccRedsVal) ).
thf(3349,plain,
! [A: list_char,B: list_char,C: val,D: list_char,E: produc1278157519t_char > option_val,F: exp_list_char,G: produc2090907612on_val,H: nat,I: produc2090907612on_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ H ) ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( ( hp @ I @ H )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ( ( E @ ( produc5062597t_char @ A @ B ) )
= ( some_val @ C ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ F @ A @ B ) @ G ) @ ( produc235638504on_val @ ( val_list_char @ C ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[716]) ).
thf(781,axiom,
! [A: produc1746408499on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( A @ ( produc833389609on_val @ B @ C ) )
=> ( produc803302844_val_o @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_372_curryI) ).
thf(3556,plain,
! [A: produc1746408499on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( A @ ( produc833389609on_val @ B @ C ) )
=> ( produc803302844_val_o @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[781]) ).
thf(573,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( throw_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_940_FAssRedsThrow1) ).
thf(2872,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( throw_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[573]) ).
thf(320,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_668_equalityI) ).
thf(1951,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[320]) ).
thf(351,axiom,
produc575577405_val_o = produc252486962_val_o,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_519_internal__split__def) ).
thf(2068,plain,
produc575577405_val_o = produc252486962_val_o,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[351]) ).
thf(283,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( cond_list_char @ ( val_list_char @ ( bool @ $false ) ) @ B @ C ) @ D @ C @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1099_redp__redsp_ORedCondF) ).
thf(1819,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( cond_list_char @ ( val_list_char @ ( bool @ $false ) ) @ B @ C ) @ D @ C @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[283]) ).
thf(223,axiom,
! [A: produc1180562163on_val] :
~ ! [B: list_exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc1302104557on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_306_prod_Oexhaust) ).
thf(1624,plain,
! [A: produc1180562163on_val] :
~ ! [B: list_exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc1302104557on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[223]) ).
thf(163,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( B = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_818_xt1_I5_J) ).
thf(1392,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[163]) ).
thf(394,axiom,
! [A: val,B: bop,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ D ) @ E @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_956_redp__redsp_OBinOpRed2) ).
thf(2228,plain,
! [A: val,B: bop,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ D ) @ E @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[394]) ).
thf(737,axiom,
! [A: list_char > option_val,B: list_char,C: val] :
( ( ( A @ B )
= ( some_val @ C ) )
=> ( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_11_map__upd__triv) ).
thf(3408,plain,
! [A: list_char > option_val,B: list_char,C: val] :
( ( ( A @ B )
= ( some_val @ C ) )
=> ( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[737]) ).
thf(259,axiom,
! [A: produc220283002t_char,B: produc220283002t_char > $o] :
( ! [C: list_ty,D: list_val,E: exp_list_char] : ( B @ ( produc1909267824t_char @ C @ ( produc1916172923t_char @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_253_prod__induct3) ).
thf(1740,plain,
! [A: produc220283002t_char,B: produc220283002t_char > $o] :
( ! [C: list_ty,D: list_val,E: exp_list_char] : ( B @ ( produc1909267824t_char @ C @ ( produc1916172923t_char @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[259]) ).
thf(505,axiom,
! [A: ty,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: val,E: ty] :
( ( conf_P373316194t_char @ B @ C @ D @ E )
=> ( ( widen_2090681816t_char @ B @ E @ A )
=> ( conf_P373316194t_char @ B @ C @ D @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_439_conf__widen) ).
thf(2653,plain,
! [A: ty,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: val,E: ty] :
( ( conf_P373316194t_char @ B @ C @ D @ E )
=> ( ( widen_2090681816t_char @ B @ E @ A )
=> ( conf_P373316194t_char @ B @ C @ D @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[505]) ).
thf(85,axiom,
! [A: nat,B: nat] :
( ( fun_up1472480727on_val
@ ^ [C: nat] : none_P1260844216on_val
@ A
@ none_P1260844216on_val
@ B )
= none_P1260844216on_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_633_empty__upd__none) ).
thf(1106,plain,
! [A: nat,B: nat] :
( ( fun_up1472480727on_val
@ ^ [C: nat] : none_P1260844216on_val
@ A
@ none_P1260844216on_val
@ B )
= none_P1260844216on_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).
thf(315,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( reds @ G ) )
=> ( ( evals @ G @ E @ F @ A @ B )
=> ( evals @ G @ C @ D @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1145_extend__1__evals) ).
thf(1936,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( reds @ G ) )
=> ( ( evals @ G @ E @ F @ A @ B )
=> ( evals @ G @ C @ D @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[315]) ).
thf(202,axiom,
! [A: exp_list_char,B: list_char,C: list_char] :
( ( fv @ ( fAcc_list_char @ A @ B @ C ) )
= ( fv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_915_fv__fvs_Osimps_I7_J) ).
thf(1541,plain,
! [A: exp_list_char,B: list_char,C: list_char] :
( ( fv @ ( fAcc_list_char @ A @ B @ C ) )
= ( fv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[202]) ).
thf(292,axiom,
! [A: produc1278157519t_char > option_val,B: option_val,C: produc1278157519t_char,D: produc1278157519t_char] :
( ( ( C = D )
=> ( ( fun_up204312361on_val @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up204312361on_val @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_206_fun__upd__apply) ).
thf(1851,plain,
! [A: produc1278157519t_char > option_val,B: option_val,C: produc1278157519t_char,D: produc1278157519t_char] :
( ( ( C = D )
=> ( ( fun_up204312361on_val @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up204312361on_val @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[292]) ).
thf(278,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( ( seq_list_char @ A @ B )
= ( seq_list_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_573_exp_Osimps_I11_J) ).
thf(1804,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( ( seq_list_char @ A @ B )
= ( seq_list_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[278]) ).
thf(579,axiom,
! [A: produc2090907612on_val > $o] :
( ( ! [B: produc2090907612on_val] : ( A @ B ) )
= ( ! [B: nat > option1728594148on_val,C: list_char > option_val] : ( A @ ( produc755559506on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_173_split__paired__All) ).
thf(2895,plain,
! [A: produc2090907612on_val > $o] :
( ( ! [B: produc2090907612on_val] : ( A @ B ) )
= ( ! [B: nat > option1728594148on_val,C: list_char > option_val] : ( A @ ( produc755559506on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[579]) ).
thf(145,axiom,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: nat,D: nat] :
( ( ( D = C )
=> ( ( fun_up1472480727on_val @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up1472480727on_val @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_189_fun__upd__def) ).
thf(1328,plain,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: nat,D: nat] :
( ( ( D = C )
=> ( ( fun_up1472480727on_val @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up1472480727on_val @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[145]) ).
thf(192,axiom,
! [A: nat > option1728594148on_val] : ( hext @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_556_hext__refl) ).
thf(1498,plain,
! [A: nat > option1728594148on_val] : ( hext @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[192]) ).
thf(632,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( cond_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1096_red__reds_OCondRed) ).
thf(3078,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( cond_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[632]) ).
thf(614,axiom,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( val_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ A ) @ E ) ) @ ( red @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_968_red__reds_ORedTry) ).
thf(3001,plain,
! [A: val,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( val_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ A ) @ E ) ) @ ( red @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[614]) ).
thf(28,axiom,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
=> ( ( typeof_h @ A @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) )
= ( some_ty @ ( class @ classCast ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1008_typeof__ClassCast) ).
thf(874,plain,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
=> ( ( typeof_h @ A @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) )
= ( some_ty @ ( class @ classCast ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).
thf(98,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( C = A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_822_ord__le__eq__trans) ).
thf(1143,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( C = A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[98]) ).
thf(266,axiom,
! [A: produc1278157519t_char,B: produc1278157519t_char] :
( ( fun_up204312361on_val
@ ^ [C: produc1278157519t_char] : none_val
@ A
@ none_val
@ B )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_632_empty__upd__none) ).
thf(1762,plain,
! [A: produc1278157519t_char,B: produc1278157519t_char] :
( ( fun_up204312361on_val
@ ^ [C: produc1278157519t_char] : none_val
@ A
@ none_val
@ B )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[266]) ).
thf(361,axiom,
! [A: produc1645268488al_val,B: produc1645268488al_val > $o] :
( ! [C: bop,D: val,E: val] : ( B @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_249_prod__induct3) ).
thf(2100,plain,
! [A: produc1645268488al_val,B: produc1645268488al_val > $o] :
( ! [C: bop,D: val,E: val] : ( B @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[361]) ).
thf(324,axiom,
! [A: list_char > option_ty,B: list_char,C: option_ty] :
( ( ( fun_up424764369ion_ty @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_216_fun__upd__idem__iff) ).
thf(1970,plain,
! [A: list_char > option_ty,B: list_char,C: option_ty] :
( ( ( fun_up424764369ion_ty @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[324]) ).
thf(87,axiom,
! [A: option_ty] :
( ( A != none_ty )
= ( ? [B: ty] :
( A
= ( some_ty @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_620_not__None__eq) ).
thf(1111,plain,
! [A: option_ty] :
( ( A != none_ty )
= ( ? [B: ty] :
( A
= ( some_ty @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).
thf(521,axiom,
! [A: produc1278157519t_char] :
~ ! [B: list_char,C: list_char] :
( A
!= ( produc5062597t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_310_prod_Oexhaust) ).
thf(2709,plain,
! [A: produc1278157519t_char] :
~ ! [B: list_char,C: list_char] :
( A
!= ( produc5062597t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[521]) ).
thf(568,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( A @ B @ C )
=> ( produc1624062875_val_o @ A @ ( produc833389609on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_407_prod__caseI) ).
thf(2858,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( A @ B @ C )
=> ( produc1624062875_val_o @ A @ ( produc833389609on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[568]) ).
thf(477,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( B = A )
=> ( ord_le1777678169char_o @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_821_xt1_I4_J) ).
thf(2537,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( B = A )
=> ( ord_le1777678169char_o @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[477]) ).
thf(686,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val > $o] :
( ! [C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] : ( B @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_251_prod__induct3) ).
thf(3237,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val > $o] :
( ! [C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] : ( B @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[686]) ).
thf(264,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char > option_val] :
( ( map_ad325961431ar_val @ A @ ( map_ad325961431ar_val @ B @ C ) )
= ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_432_map__add__assoc) ).
thf(1755,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char > option_val] :
( ( map_ad325961431ar_val @ A @ ( map_ad325961431ar_val @ B @ C ) )
= ( map_ad325961431ar_val @ ( map_ad325961431ar_val @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[264]) ).
thf(500,axiom,
! [A: produc1406897475t_char,B: produc1406897475t_char > $o] :
( ! [C: produc220283002t_char,D: list_ty,E: list_val,F: exp_list_char] : ( B @ ( produc57279289t_char @ C @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_39_prod__induct4) ).
thf(2638,plain,
! [A: produc1406897475t_char,B: produc1406897475t_char > $o] :
( ! [C: produc220283002t_char,D: list_ty,E: list_val,F: exp_list_char] : ( B @ ( produc57279289t_char @ C @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[500]) ).
thf(89,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( eval @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ D ) @ ( dom_list_char_val @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_855_eval__lcl__incr) ).
thf(1118,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( eval @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ D ) @ ( dom_list_char_val @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).
thf(636,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ F ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ D @ A ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1089_WhileTRedsThrow) ).
thf(3087,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ F ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ D @ A ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[636]) ).
thf(617,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: exp_list_char,H: produc2090907612on_val,I: exp_list_char,J: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ G @ H ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ G @ H ) @ ( produc235638504on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_774_rtrancl__induct2) ).
thf(3018,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: exp_list_char,H: produc2090907612on_val,I: exp_list_char,J: produc2090907612on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ G @ H ) ) @ ( transi2118771717on_val @ F ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ G @ H ) @ ( produc235638504on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[617]) ).
thf(656,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ ( throw_list_char @ A ) @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_933_red__reds_OSeqThrow) ).
thf(3141,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ ( throw_list_char @ A ) @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[656]) ).
thf(657,axiom,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: list_P1999446415t_char,D: exp_list_char,E: list_val,F: list_list_char,G: list_ty] :
( ( ( size_s2113983095t_char @ F )
= ( size_size_list_ty @ G ) )
=> ( ( ( size_size_list_val @ E )
= ( size_size_list_ty @ G ) )
=> ( ( final_list_char @ D )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ F @ ( produc1909267824t_char @ G @ ( produc1916172923t_char @ E @ D ) ) ) ) @ ( produc755559506on_val @ A @ B ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ A @ B ) ) ) @ ( transi2118771717on_val @ ( red @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1188_blocksFinal) ).
thf(3143,plain,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: list_P1999446415t_char,D: exp_list_char,E: list_val,F: list_list_char,G: list_ty] :
( ( ( size_s2113983095t_char @ F )
= ( size_size_list_ty @ G ) )
=> ( ( ( size_size_list_val @ E )
= ( size_size_list_ty @ G ) )
=> ( ( final_list_char @ D )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ F @ ( produc1909267824t_char @ G @ ( produc1916172923t_char @ E @ D ) ) ) ) @ ( produc755559506on_val @ A @ B ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ A @ B ) ) ) @ ( transi2118771717on_val @ ( red @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[657]) ).
thf(154,axiom,
! [A: bop,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( binOp_list_char @ D @ A @ B ) @ E @ ( binOp_list_char @ F @ A @ B ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_953_redp__redsp_OBinOpRed1) ).
thf(1361,plain,
! [A: bop,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( binOp_list_char @ D @ A @ B ) @ E @ ( binOp_list_char @ F @ A @ B ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[154]) ).
thf(234,axiom,
! [A: list_char,B: list_val,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ null ) @ A @ ( map_va1934808527t_char @ val_list_char @ B ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1134_red__reds_ORedCallNull) ).
thf(1659,plain,
! [A: list_char,B: list_val,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ null ) @ A @ ( map_va1934808527t_char @ val_list_char @ B ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[234]) ).
thf(483,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( ord_le1777678169char_o @ A @ B )
=> ( ord_le1777678169char_o @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_817_xt1_I6_J) ).
thf(2561,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( ord_le1777678169char_o @ A @ B )
=> ( ord_le1777678169char_o @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[483]) ).
thf(558,axiom,
! [A: produc2090907612on_val > $o,B: produc2090907612on_val > $o] :
( ( ord_le1145603820_val_o
@ ^ [C: nat > option1728594148on_val,D: list_char > option_val] : ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ A )
@ ^ [C: nat > option1728594148on_val,D: list_char > option_val] : ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ B ) )
= ( ord_le290925629_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_815_pred__subset__eq2) ).
thf(2830,plain,
! [A: produc2090907612on_val > $o,B: produc2090907612on_val > $o] :
( ( ord_le1145603820_val_o
@ ^ [C: nat > option1728594148on_val,D: list_char > option_val] : ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ A )
@ ^ [C: nat > option1728594148on_val,D: list_char > option_val] : ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ B ) )
= ( ord_le290925629_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[558]) ).
thf(639,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ! [C: produc1282892786on_val,D: exp_list_char,E: produc2090907612on_val] : ( B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_247_prod__induct3) ).
thf(3094,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ! [C: produc1282892786on_val,D: exp_list_char,E: produc2090907612on_val] : ( B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[639]) ).
thf(447,axiom,
! [A: list_char > option_ty,B: option_ty,C: option_ty,D: list_char,E: list_char] :
( ( D != E )
=> ( ( fun_up424764369ion_ty @ ( fun_up424764369ion_ty @ A @ D @ B ) @ E @ C )
= ( fun_up424764369ion_ty @ ( fun_up424764369ion_ty @ A @ E @ C ) @ D @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_200_fun__upd__twist) ).
thf(2419,plain,
! [A: list_char > option_ty,B: option_ty,C: option_ty,D: list_char,E: list_char] :
( ( D != E )
=> ( ( fun_up424764369ion_ty @ ( fun_up424764369ion_ty @ A @ D @ B ) @ E @ C )
= ( fun_up424764369ion_ty @ ( fun_up424764369ion_ty @ A @ E @ C ) @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[447]) ).
thf(172,axiom,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( B @ A )
=> ( C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_596_predicate1D) ).
thf(1424,plain,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( B @ A )
=> ( C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[172]) ).
thf(621,axiom,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: produc1282892786on_val] :
( A
!= ( produc833389609on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_314_prod_Oexhaust) ).
thf(3032,plain,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: produc1282892786on_val] :
( A
!= ( produc833389609on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[621]) ).
thf(743,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ G ) @ ( produc235638504on_val @ B @ C ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ D @ A ) @ E ) @ ( produc235638504on_val @ B @ C ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_649_SeqReds2) ).
thf(3428,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ G ) @ ( produc235638504on_val @ B @ C ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ D @ A ) @ E ) @ ( produc235638504on_val @ B @ C ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[743]) ).
thf(65,axiom,
! [A: produc1250491293on_val,B: produc1250491293on_val > $o] :
( ! [C: produc618524391on_val,D: produc1180562163on_val,E: list_exp_list_char,F: produc2090907612on_val] : ( B @ ( produc1347028499on_val @ C @ ( produc747700183on_val @ D @ ( produc1302104557on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_prod__induct4) ).
thf(1016,plain,
! [A: produc1250491293on_val,B: produc1250491293on_val > $o] :
( ! [C: produc618524391on_val,D: produc1180562163on_val,E: list_exp_list_char,F: produc2090907612on_val] : ( B @ ( produc1347028499on_val @ C @ ( produc747700183on_val @ D @ ( produc1302104557on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).
thf(509,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val] :
( ( ( A @ B )
= C )
=> ( ( fun_up204312361on_val @ A @ B @ C )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_194_fun__upd__idem) ).
thf(2666,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val] :
( ( ( A @ B )
= C )
=> ( ( fun_up204312361on_val @ A @ B @ C )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[509]) ).
thf(544,axiom,
! [A: val,B: val] :
( ( ( some_val @ A )
= ( some_val @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_356_option_Oinject) ).
thf(2781,plain,
! [A: val,B: val] :
( ( ( some_val @ A )
= ( some_val @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[544]) ).
thf(190,axiom,
! [A: list_char,B: list_list_char,C: ty,D: list_ty,E: val,F: list_val,G: exp_list_char] :
( ( blocks @ ( produc921874948t_char @ ( cons_list_char @ A @ B ) @ ( produc1909267824t_char @ ( cons_ty @ C @ D ) @ ( produc1916172923t_char @ ( cons_val @ E @ F ) @ G ) ) ) )
= ( block_list_char @ A @ C @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ E ) ) @ ( blocks @ ( produc921874948t_char @ B @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ F @ G ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1178_blocks_Osimps_I1_J) ).
thf(1493,plain,
! [A: list_char,B: list_list_char,C: ty,D: list_ty,E: val,F: list_val,G: exp_list_char] :
( ( blocks @ ( produc921874948t_char @ ( cons_list_char @ A @ B ) @ ( produc1909267824t_char @ ( cons_ty @ C @ D ) @ ( produc1916172923t_char @ ( cons_val @ E @ F ) @ G ) ) ) )
= ( block_list_char @ A @ C @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ E ) ) @ ( blocks @ ( produc921874948t_char @ B @ ( produc1909267824t_char @ D @ ( produc1916172923t_char @ F @ G ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[190]) ).
thf(549,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( A @ B @ C )
=> ( produc1624062875_val_o @ A @ ( produc833389609on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_423_splitI) ).
thf(2798,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( A @ B @ C )
=> ( produc1624062875_val_o @ A @ ( produc833389609on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[549]) ).
thf(68,axiom,
! [A: ty] :
( ( is_refT @ A )
= ( ( A = nt )
| ? [B: list_char] :
( A
= ( class @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1116_is__refT__def) ).
thf(1028,plain,
! [A: ty] :
( ( is_refT @ A )
= ( ( A = nt )
| ? [B: list_char] :
( A
= ( class @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).
thf(338,axiom,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ! [C: produc1180562163on_val,D: list_exp_list_char,E: produc2090907612on_val] : ( B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_250_prod__induct3) ).
thf(2023,plain,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ! [C: produc1180562163on_val,D: list_exp_list_char,E: produc2090907612on_val] : ( B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[338]) ).
thf(132,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: exp_list_char,D: ty,E: list_char > option_ty,F: list_char,G: ty] :
( ( ( E @ F )
= ( some_ty @ G ) )
=> ( ( wTrt_1 @ A @ B @ E @ C @ D )
=> ( ( widen_2090681816t_char @ A @ D @ G )
=> ( wTrt_1 @ A @ B @ E @ ( lAss_list_char @ F @ C ) @ void ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_589_WTrtLAss) ).
thf(1292,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: exp_list_char,D: ty,E: list_char > option_ty,F: list_char,G: ty] :
( ( ( E @ F )
= ( some_ty @ G ) )
=> ( ( wTrt_1 @ A @ B @ E @ C @ D )
=> ( ( widen_2090681816t_char @ A @ D @ G )
=> ( wTrt_1 @ A @ B @ E @ ( lAss_list_char @ F @ C ) @ void ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[132]) ).
thf(42,axiom,
! [A: ty] :
( ( some_ty @ A )
!= none_ty ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_610_option_Osimps_I3_J) ).
thf(933,plain,
! [A: ty] :
( ( some_ty @ A )
!= none_ty ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).
thf(346,axiom,
! [A: list_char,B: ty,C: exp_list_char,D: val] :
( ( block_list_char @ A @ B @ C )
!= ( val_list_char @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_581_exp_Osimps_I83_J) ).
thf(2053,plain,
! [A: list_char,B: ty,C: exp_list_char,D: val] :
( ( block_list_char @ A @ B @ C )
!= ( val_list_char @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[346]) ).
thf(398,axiom,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: list_ty,D: produc662261637t_char] :
( A
!= ( produc921874948t_char @ B @ ( produc1909267824t_char @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_228_prod__cases3) ).
thf(2240,plain,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: list_ty,D: produc662261637t_char] :
( A
!= ( produc921874948t_char @ B @ ( produc1909267824t_char @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[398]) ).
thf(363,axiom,
! [A: list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( lAss_list_char @ A @ B )
!= ( seq_list_char @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_584_exp_Osimps_I144_J) ).
thf(2108,plain,
! [A: list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( lAss_list_char @ A @ B )
!= ( seq_list_char @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[363]) ).
thf(178,axiom,
! [A: produc349695911t_char,B: produc349695911t_char > $o] :
( ! [C: produc1285161482t_char,D: list_list_char,E: list_ty,F: produc662261637t_char] : ( B @ ( produc24551831t_char @ C @ ( produc921874948t_char @ D @ ( produc1909267824t_char @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_38_prod__induct4) ).
thf(1446,plain,
! [A: produc349695911t_char,B: produc349695911t_char > $o] :
( ! [C: produc1285161482t_char,D: list_list_char,E: list_ty,F: produc662261637t_char] : ( B @ ( produc24551831t_char @ C @ ( produc921874948t_char @ D @ ( produc1909267824t_char @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[178]) ).
thf(219,axiom,
! [A: nat] :
( ( some_nat @ A )
!= none_nat ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_609_option_Osimps_I3_J) ).
thf(1612,plain,
! [A: nat] :
( ( some_nat @ A )
!= none_nat ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[219]) ).
thf(605,axiom,
! [A: ty,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char,F: val,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ E @ ( some_val @ F ) ) ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ E @ A @ ( seq_list_char @ ( lAss_list_char @ E @ ( val_list_char @ F ) ) @ B ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ ( block_list_char @ E @ A @ ( seq_list_char @ ( lAss_list_char @ E @ ( val_list_char @ ( the_val @ ( I @ E ) ) ) ) @ G ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ E @ ( D @ E ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_656_InitBlockReds) ).
thf(2978,plain,
! [A: ty,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char,F: val,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ E @ ( some_val @ F ) ) ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ E @ A @ ( seq_list_char @ ( lAss_list_char @ E @ ( val_list_char @ F ) ) @ B ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ ( block_list_char @ E @ A @ ( seq_list_char @ ( lAss_list_char @ E @ ( val_list_char @ ( the_val @ ( I @ E ) ) ) ) @ G ) ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ E @ ( D @ E ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[605]) ).
thf(704,axiom,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( A @ C )
=> ( ! [E: produc1282892786on_val,F: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ E @ F ) @ D )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ F @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( A @ F )
=> ( A @ E ) ) ) )
=> ( A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_844_converse__rtrancl__induct) ).
thf(3294,plain,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ B @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( A @ C )
=> ( ! [E: produc1282892786on_val,F: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ E @ F ) @ D )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ F @ C ) @ ( transi2118771717on_val @ D ) )
=> ( ( A @ F )
=> ( A @ E ) ) ) )
=> ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[704]) ).
thf(260,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( redp @ A @ B @ C @ D @ E )
=> ( redp @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ D ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_912_redp__redsp_OThrowRed) ).
thf(1744,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( redp @ A @ B @ C @ D @ E )
=> ( redp @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ D ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[260]) ).
thf(20,axiom,
! [A: option_ty] :
( ( ! [B: ty] :
( A
!= ( some_ty @ B ) ) )
= ( A = none_ty ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_615_not__Some__eq) ).
thf(837,plain,
! [A: option_ty] :
( ( ! [B: ty] :
( A
!= ( some_ty @ B ) ) )
= ( A = none_ty ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).
thf(474,axiom,
! [A: $o,B: $o] :
( ( ( bool @ A )
= ( bool @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1067_val_Osimps_I1_J) ).
thf(2519,plain,
! [A: $o,B: $o] :
( ( ( bool @ A )
= ( bool @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[474]) ).
thf(417,axiom,
! [A: produc774316953on_val > $o] :
( ( ! [B: produc774316953on_val] : ( A @ B ) )
= ( ! [B: list_char > option_val,C: list_char > option_val] : ( A @ ( produc1338265359on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_170_split__paired__All) ).
thf(2304,plain,
! [A: produc774316953on_val > $o] :
( ( ! [B: produc774316953on_val] : ( A @ B ) )
= ( ! [B: list_char > option_val,C: list_char > option_val] : ( A @ ( produc1338265359on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[417]) ).
thf(461,axiom,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val] :
( ( eval @ B @ C @ ( produc755559506on_val @ D @ E ) @ F @ ( produc755559506on_val @ G @ H ) )
=> ( ~ ( member_list_char @ A @ ( fv @ C ) )
=> ( ( H @ A )
= ( E @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_848_eval__notfree__unchanged) ).
thf(2465,plain,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val] :
( ( eval @ B @ C @ ( produc755559506on_val @ D @ E ) @ F @ ( produc755559506on_val @ G @ H ) )
=> ( ~ ( member_list_char @ A @ ( fv @ C ) )
=> ( ( H @ A )
= ( E @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[461]) ).
thf(485,axiom,
! [A: list_exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc1302104557on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( reds @ G ) )
=> ( hext @ B @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1149_reds__hext__incr) ).
thf(2566,plain,
! [A: list_exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc1302104557on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( reds @ G ) )
=> ( hext @ B @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[485]) ).
thf(319,axiom,
! [A: exp_list_char,B: exp_list_char,C: list_char,D: ty,E: exp_list_char] :
( ( seq_list_char @ A @ B )
!= ( block_list_char @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_585_exp_Osimps_I197_J) ).
thf(1947,plain,
! [A: exp_list_char,B: exp_list_char,C: list_char,D: ty,E: exp_list_char] :
( ( seq_list_char @ A @ B )
!= ( block_list_char @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[319]) ).
thf(555,axiom,
! [A: list_char > option_ty,B: ty,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( red @ I ) )
=> ( ( wTrt_1 @ I @ D @ A @ C @ B )
=> ( ( hconf_97414254t_char @ I @ D )
=> ( hconf_97414254t_char @ I @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_220_red__preserves__hconf) ).
thf(2813,plain,
! [A: list_char > option_ty,B: ty,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( red @ I ) )
=> ( ( wTrt_1 @ I @ D @ A @ C @ B )
=> ( ( hconf_97414254t_char @ I @ D )
=> ( hconf_97414254t_char @ I @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[555]) ).
thf(646,axiom,
! [A: produc2090907612on_val > $o,B: produc2090907612on_val > $o] :
( ( ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ B )
= ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_283_pred__equals__eq2) ).
thf(3115,plain,
! [A: produc2090907612on_val > $o,B: produc2090907612on_val > $o] :
( ( ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ B )
= ( member1846553161on_val @ ( produc755559506on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[646]) ).
thf(407,axiom,
! [A: list_char > option_val] :
( ( map_ad325961431ar_val @ A
@ ^ [B: list_char] : none_val )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_636_map__add__empty) ).
thf(2272,plain,
! [A: list_char > option_val] :
( ( map_ad325961431ar_val @ A
@ ^ [B: list_char] : none_val )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[407]) ).
thf(535,axiom,
! [A: ty,B: val,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: val,H: exp_list_char,I: nat > option1728594148on_val,J: list_char > option_val,K: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ ( some_val @ G ) ) ) ) @ ( produc235638504on_val @ H @ ( produc755559506on_val @ I @ J ) ) ) @ ( red @ K ) )
=> ( ( ( J @ F )
= ( some_val @ B ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ F @ A @ ( seq_list_char @ ( lAss_list_char @ F @ ( val_list_char @ G ) ) @ C ) ) @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ ( block_list_char @ F @ A @ ( seq_list_char @ ( lAss_list_char @ F @ ( val_list_char @ B ) ) @ H ) ) @ ( produc755559506on_val @ I @ ( fun_up1149430426on_val @ J @ F @ ( E @ F ) ) ) ) ) @ ( red @ K ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_465_red__reds_OInitBlockRed) ).
thf(2756,plain,
! [A: ty,B: val,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: val,H: exp_list_char,I: nat > option1728594148on_val,J: list_char > option_val,K: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ ( some_val @ G ) ) ) ) @ ( produc235638504on_val @ H @ ( produc755559506on_val @ I @ J ) ) ) @ ( red @ K ) )
=> ( ( ( J @ F )
= ( some_val @ B ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ F @ A @ ( seq_list_char @ ( lAss_list_char @ F @ ( val_list_char @ G ) ) @ C ) ) @ ( produc755559506on_val @ D @ E ) ) @ ( produc235638504on_val @ ( block_list_char @ F @ A @ ( seq_list_char @ ( lAss_list_char @ F @ ( val_list_char @ B ) ) @ H ) ) @ ( produc755559506on_val @ I @ ( fun_up1149430426on_val @ J @ F @ ( E @ F ) ) ) ) ) @ ( red @ K ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[535]) ).
thf(429,axiom,
! [A: list_char > option_ty,B: list_char,C: ty,D: list_char > option_ty,E: ty] :
( ( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) )
= ( fun_up424764369ion_ty @ D @ B @ ( some_ty @ E ) ) )
=> ( C = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_16_map__upd__eqD1) ).
thf(2370,plain,
! [A: list_char > option_ty,B: list_char,C: ty,D: list_char > option_ty,E: ty] :
( ( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) )
= ( fun_up424764369ion_ty @ D @ B @ ( some_ty @ E ) ) )
=> ( C = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[429]) ).
thf(603,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val,D: nat > option1728594148on_val,E: list_char > option_val,F: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ B @ C ) @ ( produc755559506on_val @ D @ E ) ) @ ( transi466770671on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: nat > option1728594148on_val,H: list_char > option_val,I: nat > option1728594148on_val,J: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ G @ H ) @ ( produc755559506on_val @ I @ J ) ) @ F )
=> ( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ I @ J ) @ ( produc755559506on_val @ D @ E ) ) @ ( transi466770671on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_771_converse__rtrancl__induct2) ).
thf(2968,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val,D: nat > option1728594148on_val,E: list_char > option_val,F: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ B @ C ) @ ( produc755559506on_val @ D @ E ) ) @ ( transi466770671on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: nat > option1728594148on_val,H: list_char > option_val,I: nat > option1728594148on_val,J: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ G @ H ) @ ( produc755559506on_val @ I @ J ) ) @ F )
=> ( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ I @ J ) @ ( produc755559506on_val @ D @ E ) ) @ ( transi466770671on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[603]) ).
thf(88,axiom,
! [A: list_char,B: exp_list_char,C: val] :
( ( lAss_list_char @ A @ B )
!= ( val_list_char @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_579_exp_Osimps_I75_J) ).
thf(1114,plain,
! [A: list_char,B: exp_list_char,C: val] :
( ( lAss_list_char @ A @ B )
!= ( val_list_char @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).
thf(455,axiom,
! [A: list_char,B: list_exp_list_char,C: list_val,D: exp_list_char,E: list_exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val,I: val,J: produc2090907612on_val,K: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ G @ H ) @ ( produc235638504on_val @ ( val_list_char @ I ) @ J ) ) @ ( transi2118771717on_val @ ( red @ K ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ J ) @ ( produc1302104557on_val @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ C ) @ ( cons_exp_list_char @ ( throw_list_char @ D ) @ E ) ) @ F ) ) @ ( transi808828192on_val @ ( reds @ K ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ G @ A @ B ) @ H ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ F ) ) @ ( transi2118771717on_val @ ( red @ K ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1153_CallRedsThrowParams) ).
thf(2450,plain,
! [A: list_char,B: list_exp_list_char,C: list_val,D: exp_list_char,E: list_exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val,I: val,J: produc2090907612on_val,K: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ G @ H ) @ ( produc235638504on_val @ ( val_list_char @ I ) @ J ) ) @ ( transi2118771717on_val @ ( red @ K ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ J ) @ ( produc1302104557on_val @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ C ) @ ( cons_exp_list_char @ ( throw_list_char @ D ) @ E ) ) @ F ) ) @ ( transi808828192on_val @ ( reds @ K ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ G @ A @ B ) @ H ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ F ) ) @ ( transi2118771717on_val @ ( red @ K ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[455]) ).
thf(212,axiom,
! [A: list_val,B: exp_list_char,C: list_val,D: exp_list_char] :
( ( ( produc1916172923t_char @ A @ B )
= ( produc1916172923t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_138_Pair__eq) ).
thf(1588,plain,
! [A: list_val,B: exp_list_char,C: list_val,D: exp_list_char] :
( ( ( produc1916172923t_char @ A @ B )
= ( produc1916172923t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[212]) ).
thf(198,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: produc2090907612on_val] :
( ( eval @ A @ B @ C @ ( val_list_char @ null ) @ D )
=> ( eval @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1042_ThrowNull) ).
thf(1530,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: produc2090907612on_val] :
( ( eval @ A @ B @ C @ ( val_list_char @ null ) @ D )
=> ( eval @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[198]) ).
thf(560,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A @ B ) @ ( produc833389609on_val @ C @ D ) ) @ ( transi130214086on_val @ E ) )
=> ( ( ( produc833389609on_val @ A @ B )
!= ( produc833389609on_val @ C @ D ) )
=> ~ ! [F: produc1282892786on_val,G: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A @ B ) @ ( produc833389609on_val @ F @ G ) ) @ E )
=> ~ ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ F @ G ) @ ( produc833389609on_val @ C @ D ) ) @ ( transi130214086on_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_756_converse__rtranclE2) ).
thf(2836,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A @ B ) @ ( produc833389609on_val @ C @ D ) ) @ ( transi130214086on_val @ E ) )
=> ( ( ( produc833389609on_val @ A @ B )
!= ( produc833389609on_val @ C @ D ) )
=> ~ ! [F: produc1282892786on_val,G: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ A @ B ) @ ( produc833389609on_val @ F @ G ) ) @ E )
=> ~ ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ F @ G ) @ ( produc833389609on_val @ C @ D ) ) @ ( transi130214086on_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[560]) ).
thf(563,axiom,
! [A: produc1581780743on_val,B: produc1581780743on_val > $o] :
( ! [C: produc2090907612on_val,D: nat > option1728594148on_val,E: list_char > option_val] : ( B @ ( produc259392253on_val @ C @ ( produc755559506on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_257_prod__induct3) ).
thf(2845,plain,
! [A: produc1581780743on_val,B: produc1581780743on_val > $o] :
( ! [C: produc2090907612on_val,D: nat > option1728594148on_val,E: list_char > option_val] : ( B @ ( produc259392253on_val @ C @ ( produc755559506on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[563]) ).
thf(625,axiom,
! [A: produc1278157519t_char > option_val,B: val,C: produc1278157519t_char,D: produc1278157519t_char > option_val] :
( ~ ( member1251428284t_char @ C @ ( dom_Pr695701035ar_val @ D ) )
=> ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ A @ C @ ( some_val @ B ) ) @ D )
= ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ A @ D ) @ C @ ( some_val @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_460_map__add__upd__left) ).
thf(3059,plain,
! [A: produc1278157519t_char > option_val,B: val,C: produc1278157519t_char,D: produc1278157519t_char > option_val] :
( ~ ( member1251428284t_char @ C @ ( dom_Pr695701035ar_val @ D ) )
=> ( ( map_ad1185064968ar_val @ ( fun_up204312361on_val @ A @ C @ ( some_val @ B ) ) @ D )
= ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ A @ D ) @ C @ ( some_val @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[625]) ).
thf(125,axiom,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
= ( ! [B: list_char] :
( ( member_list_char @ B @ sys_xcpts )
=> ? [C: produc1278157519t_char > option_val] :
( ( A @ ( addr_of_sys_xcpt @ B ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1076_preallocated__def) ).
thf(1266,plain,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
= ( ! [B: list_char] :
( ( member_list_char @ B @ sys_xcpts )
=> ? [C: produc1278157519t_char > option_val] :
( ( A @ ( addr_of_sys_xcpt @ B ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[125]) ).
thf(581,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) ) @ ( red @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_988_red__reds_OCastRed) ).
thf(2900,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) ) @ ( red @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[581]) ).
thf(680,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( ( map_ad325961431ar_val @ A @ B @ C )
= ( some_val @ D ) )
= ( ( ( B @ C )
= ( some_val @ D ) )
| ( ( ( B @ C )
= none_val )
& ( ( A @ C )
= ( some_val @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_645_map__add__Some__iff) ).
thf(3222,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( ( map_ad325961431ar_val @ A @ B @ C )
= ( some_val @ D ) )
= ( ( ( B @ C )
= ( some_val @ D ) )
| ( ( ( B @ C )
= none_val )
& ( ( A @ C )
= ( some_val @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[680]) ).
thf(775,axiom,
! [A: option_val] :
( ( A != none_val )
= ( ? [B: val] :
( A
= ( some_val @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_622_not__None__eq) ).
thf(3540,plain,
! [A: option_val] :
( ( A != none_val )
= ( ? [B: val] :
( A
= ( some_val @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[775]) ).
thf(174,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val] :
( ( fun_up204312361on_val @ A @ B @ C @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_210_fun__upd__same) ).
thf(1429,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val] :
( ( fun_up204312361on_val @ A @ B @ C @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[174]) ).
thf(689,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val] :
( ( ( produc235638504on_val @ A @ B )
= ( produc235638504on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_128_Pair__eq) ).
thf(3247,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val] :
( ( ( produc235638504on_val @ A @ B )
= ( produc235638504on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[689]) ).
thf(644,axiom,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > option_val,E: exp_list_char,F: val,G: nat > option1728594148on_val,H: list_char > option_val,I: exp_list_char,J: produc2090907612on_val,K: nat,L: produc2090907612on_val,M: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ J ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ K ) ) @ L ) ) @ ( transi2118771717on_val @ ( red @ M ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ L ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ ( produc755559506on_val @ G @ H ) ) ) @ ( transi2118771717on_val @ ( red @ M ) ) )
=> ( ( ( some_P451527732on_val @ ( produc926070009on_val @ C @ D ) )
= ( G @ K ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ I @ A @ B @ E ) @ J ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ G @ K @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( fun_up204312361on_val @ D @ ( produc5062597t_char @ A @ B ) @ ( some_val @ F ) ) ) ) ) @ H ) ) ) @ ( transi2118771717on_val @ ( red @ M ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_892_FAssRedsVal) ).
thf(3109,plain,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > option_val,E: exp_list_char,F: val,G: nat > option1728594148on_val,H: list_char > option_val,I: exp_list_char,J: produc2090907612on_val,K: nat,L: produc2090907612on_val,M: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ J ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ K ) ) @ L ) ) @ ( transi2118771717on_val @ ( red @ M ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ L ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ ( produc755559506on_val @ G @ H ) ) ) @ ( transi2118771717on_val @ ( red @ M ) ) )
=> ( ( ( some_P451527732on_val @ ( produc926070009on_val @ C @ D ) )
= ( G @ K ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ I @ A @ B @ E ) @ J ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ G @ K @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ ( fun_up204312361on_val @ D @ ( produc5062597t_char @ A @ B ) @ ( some_val @ F ) ) ) ) ) @ H ) ) ) @ ( transi2118771717on_val @ ( red @ M ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[644]) ).
thf(327,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( cond_list_char @ ( val_list_char @ ( bool @ $true ) ) @ B @ C ) @ D @ B @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1100_redp__redsp_ORedCondT) ).
thf(1979,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( cond_list_char @ ( val_list_char @ ( bool @ $true ) ) @ B @ C ) @ D @ B @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[327]) ).
thf(631,axiom,
! [A: option_val] :
( ( A != none_val )
=> ~ ! [B: val] :
( A
!= ( some_val @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_793_option_Oexhaust) ).
thf(3074,plain,
! [A: option_val] :
( ( A != none_val )
=> ~ ! [B: val] :
( A
!= ( some_val @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[631]) ).
thf(634,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( val_list_char @ ( bool @ $false ) ) @ A @ B ) @ C ) @ ( produc235638504on_val @ B @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1105_red__reds_ORedCondF) ).
thf(3083,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( val_list_char @ ( bool @ $false ) ) @ A @ B ) @ C ) @ ( produc235638504on_val @ B @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[634]) ).
thf(675,axiom,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val > $o] :
( ( ! [C: exp_list_char,D: produc2090907612on_val] :
( ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ B )
= ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_282_pred__equals__eq2) ).
thf(3201,plain,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val > $o] :
( ( ! [C: exp_list_char,D: produc2090907612on_val] :
( ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ B )
= ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[675]) ).
thf(681,axiom,
! [A: val,B: bop,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( red @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_965_red__reds_OBinOpRed2) ).
thf(3225,plain,
! [A: val,B: bop,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( binOp_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( red @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[681]) ).
thf(784,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ! [C: produc1746408499on_val] :
( ( member1913460000on_val @ C @ B )
=> ( member1913460000on_val @ C @ A ) )
=> ( ord_le1364969894_val_o @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_740_subsetI) ).
thf(3563,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ! [C: produc1746408499on_val] :
( ( member1913460000on_val @ C @ B )
=> ( member1913460000on_val @ C @ A ) )
=> ( ord_le1364969894_val_o @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[784]) ).
thf(10,axiom,
void != nt,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1113_ty_Osimps_I6_J) ).
thf(805,plain,
void != nt,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).
thf(343,axiom,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] :
( A
!= ( produc747700183on_val @ B @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_44_prod__cases4) ).
thf(2043,plain,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val] :
( A
!= ( produc747700183on_val @ B @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[343]) ).
thf(496,axiom,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( member_list_char @ A @ ( semila2134664963char_o @ B @ C ) )
=> ( ~ ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_864_UnE) ).
thf(2617,plain,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( member_list_char @ A @ ( semila2134664963char_o @ B @ C ) )
=> ( ~ ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[496]) ).
thf(507,axiom,
! [A: list_P1999446415t_char,B: produc2090907612on_val,C: exp_list_char] :
( ( final_list_char @ C )
=> ( eval @ A @ C @ B @ C @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_889_eval__finalId) ).
thf(2662,plain,
! [A: list_P1999446415t_char,B: produc2090907612on_val,C: exp_list_char] :
( ( final_list_char @ C )
=> ( eval @ A @ C @ B @ C @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[507]) ).
thf(6,axiom,
! [A: list_exp_list_char,B: list_ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt @ C @ D @ E @ F @ G )
=> ( ( wTrts @ C @ D @ E @ A @ B )
=> ( wTrts @ C @ D @ E @ ( cons_exp_list_char @ F @ A ) @ ( cons_ty @ G @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1197_WTrt_H__WTrts_H_Ointros_I15_J) ).
thf(794,plain,
! [A: list_exp_list_char,B: list_ty,C: list_P1999446415t_char,D: nat > option1728594148on_val,E: list_char > option_ty,F: exp_list_char,G: ty] :
( ( wTrt @ C @ D @ E @ F @ G )
=> ( ( wTrts @ C @ D @ E @ A @ B )
=> ( wTrts @ C @ D @ E @ ( cons_exp_list_char @ F @ A ) @ ( cons_ty @ G @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).
thf(256,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char] :
( ( semila2134664963char_o @ A @ B @ C )
=> ( ~ ( A @ C )
=> ( B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_873_sup1E) ).
thf(1732,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char] :
( ( semila2134664963char_o @ A @ B @ C )
=> ( ~ ( A @ C )
=> ( B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[256]) ).
thf(532,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ F ) @ ( semila2134664963char_o @ ( dom_list_char_val @ C ) @ ( fv @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_858_Reds__dom__lcl) ).
thf(2749,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ F ) @ ( semila2134664963char_o @ ( dom_list_char_val @ C ) @ ( fv @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[532]) ).
thf(176,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_char,E: exp_list_char,F: ty] :
( ( wTrt_1 @ A @ B @ C @ ( lAss_list_char @ D @ E ) @ F )
=> ~ ( ( F = void )
=> ! [G: ty] :
( ( ( C @ D )
= ( some_ty @ G ) )
=> ! [H: ty] :
( ( wTrt_1 @ A @ B @ C @ E @ H )
=> ~ ( widen_2090681816t_char @ A @ H @ G ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_655_WTrt__elim__cases_I1_J) ).
thf(1434,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_char,E: exp_list_char,F: ty] :
( ( wTrt_1 @ A @ B @ C @ ( lAss_list_char @ D @ E ) @ F )
=> ~ ( ( F = void )
=> ! [G: ty] :
( ( ( C @ D )
= ( some_ty @ G ) )
=> ! [H: ty] :
( ( wTrt_1 @ A @ B @ C @ E @ H )
=> ~ ( widen_2090681816t_char @ A @ H @ G ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[176]) ).
thf(329,axiom,
! [A: list_char > option_ty,B: list_ty,C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc1302104557on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( reds @ I ) )
=> ( ( wTrts_1 @ I @ D @ A @ C @ B )
=> ( ( hconf_97414254t_char @ I @ D )
=> ( hconf_97414254t_char @ I @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1175_reds__preserves__hconf) ).
thf(1991,plain,
! [A: list_char > option_ty,B: list_ty,C: list_exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_exp_list_char,G: nat > option1728594148on_val,H: list_char > option_val,I: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ ( produc755559506on_val @ D @ E ) ) @ ( produc1302104557on_val @ F @ ( produc755559506on_val @ G @ H ) ) ) @ ( reds @ I ) )
=> ( ( wTrts_1 @ I @ D @ A @ C @ B )
=> ( ( hconf_97414254t_char @ I @ D )
=> ( hconf_97414254t_char @ I @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[329]) ).
thf(547,axiom,
! [A: produc652964533on_val] :
~ ! [B: produc1746408499on_val,C: produc1282892786on_val,D: produc1282892786on_val] :
( A
!= ( produc345758123on_val @ B @ ( produc833389609on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_232_prod__cases3) ).
thf(2788,plain,
! [A: produc652964533on_val] :
~ ! [B: produc1746408499on_val,C: produc1282892786on_val,D: produc1282892786on_val] :
( A
!= ( produc345758123on_val @ B @ ( produc833389609on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[547]) ).
thf(141,axiom,
! [A: produc2048519645t_char > $o] :
( ( ! [B: produc2048519645t_char] : ( A @ B ) )
= ( ! [B: exp_list_char,C: exp_list_char] : ( A @ ( produc943465171t_char @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_161_split__paired__All) ).
thf(1318,plain,
! [A: produc2048519645t_char > $o] :
( ( ! [B: produc2048519645t_char] : ( A @ B ) )
= ( ! [B: exp_list_char,C: exp_list_char] : ( A @ ( produc943465171t_char @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[141]) ).
thf(5,axiom,
! [A: list_char,B: ty,C: list_exp_list_char,D: list_ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt @ E @ F @ G @ H @ nt )
=> ( ( wTrts @ E @ F @ G @ C @ D )
=> ( wTrt @ E @ F @ G @ ( call_list_char @ H @ A @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1196_WTrt_H__WTrts_H_Ointros_I13_J) ).
thf(792,plain,
! [A: list_char,B: ty,C: list_exp_list_char,D: list_ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt @ E @ F @ G @ H @ nt )
=> ( ( wTrts @ E @ F @ G @ C @ D )
=> ( wTrt @ E @ F @ G @ ( call_list_char @ H @ A @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).
thf(387,axiom,
! [A: nat] :
( none_nat
!= ( some_nat @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_604_option_Osimps_I2_J) ).
thf(2203,plain,
! [A: nat] :
( none_nat
!= ( some_nat @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[387]) ).
thf(347,axiom,
! [A: produc1278157519t_char > option_val,B: option_val,C: produc1278157519t_char,D: produc1278157519t_char] :
( ( C != D )
=> ( ( fun_up204312361on_val @ A @ D @ B @ C )
= ( A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_198_fun__upd__other) ).
thf(2057,plain,
! [A: produc1278157519t_char > option_val,B: option_val,C: produc1278157519t_char,D: produc1278157519t_char] :
( ( C != D )
=> ( ( fun_up204312361on_val @ A @ D @ B @ C )
= ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[347]) ).
thf(76,axiom,
! [A: list_P1999446415t_char,B: list_char > option_ty,C: nat > option1728594148on_val,D: val,E: ty] :
( ( ( typeof_h @ C @ D )
= ( some_ty @ E ) )
=> ( wTrt @ A @ C @ B @ ( val_list_char @ D ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1019_WTrt_H__WTrts_H_Ointros_I3_J) ).
thf(1054,plain,
! [A: list_P1999446415t_char,B: list_char > option_ty,C: nat > option1728594148on_val,D: val,E: ty] :
( ( ( typeof_h @ C @ D )
= ( some_ty @ E ) )
=> ( wTrt @ A @ C @ B @ ( val_list_char @ D ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).
thf(109,axiom,
! [A: produc2090907612on_val,B: produc2090907612on_val,C: produc2090907612on_val,D: produc2090907612on_val] :
( ( ( produc259392253on_val @ A @ B )
= ( produc259392253on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_70_Pair__inject) ).
thf(1187,plain,
! [A: produc2090907612on_val,B: produc2090907612on_val,C: produc2090907612on_val,D: produc2090907612on_val] :
( ( ( produc259392253on_val @ A @ B )
= ( produc259392253on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[109]) ).
thf(587,axiom,
! [A: list_char > option_val,B: list_char,C: val,D: list_char,E: val] :
( ( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) @ D )
= ( some_val @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_7_map__upd__Some__unfold) ).
thf(2915,plain,
! [A: list_char > option_val,B: list_char,C: val,D: list_char,E: val] :
( ( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) @ D )
= ( some_val @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[587]) ).
thf(442,axiom,
! [A: list_char,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( fAcc_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_909_eval__evals_OFAccThrow) ).
thf(2408,plain,
! [A: list_char,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( fAcc_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[442]) ).
thf(236,axiom,
! [A: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wf_J_mdecl @ A )
=> ( wf_pro755087577t_char @ wwf_J_mdecl @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_831_wf__prog__wwf__prog) ).
thf(1663,plain,
! [A: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wf_J_mdecl @ A )
=> ( wf_pro755087577t_char @ wwf_J_mdecl @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[236]) ).
thf(767,axiom,
! [A: list_char,B: list_char,C: val,D: list_char > option_val,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: nat,H: list_char,I: produc1278157519t_char > option_val] :
( ( ( F @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ H @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ ( addr @ G ) ) @ A @ B @ ( val_list_char @ C ) ) @ ( produc755559506on_val @ F @ D ) ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ H @ ( fun_up204312361on_val @ I @ ( produc5062597t_char @ A @ B ) @ ( some_val @ C ) ) ) ) ) @ D ) ) ) @ ( red @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_902_red__reds_ORedFAss) ).
thf(3508,plain,
! [A: list_char,B: list_char,C: val,D: list_char > option_val,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: nat,H: list_char,I: produc1278157519t_char > option_val] :
( ( ( F @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ H @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ ( addr @ G ) ) @ A @ B @ ( val_list_char @ C ) ) @ ( produc755559506on_val @ F @ D ) ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ H @ ( fun_up204312361on_val @ I @ ( produc5062597t_char @ A @ B ) @ ( some_val @ C ) ) ) ) ) @ D ) ) ) @ ( red @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[767]) ).
thf(302,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ ( bool @ $false ) ) @ H )
=> ( ( eval @ E @ B @ H @ C @ D )
=> ( eval @ E @ ( cond_list_char @ F @ A @ B ) @ G @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1097_CondF) ).
thf(1895,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ ( bool @ $false ) ) @ H )
=> ( ( eval @ E @ B @ H @ C @ D )
=> ( eval @ E @ ( cond_list_char @ F @ A @ B ) @ G @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[302]) ).
thf(502,axiom,
! [A: list_exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( evals @ B @ ( cons_exp_list_char @ C @ A ) @ D @ ( cons_exp_list_char @ ( throw_list_char @ E ) @ A ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1157_ConsThrow) ).
thf(2645,plain,
! [A: list_exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( evals @ B @ ( cons_exp_list_char @ C @ A ) @ D @ ( cons_exp_list_char @ ( throw_list_char @ E ) @ A ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[502]) ).
thf(220,axiom,
! [A: list_exp_list_char,B: list_exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ G ) @ H )
=> ( ( evals @ D @ A @ H @ B @ C )
=> ( evals @ D @ ( cons_exp_list_char @ E @ A ) @ F @ ( cons_exp_list_char @ ( val_list_char @ G ) @ B ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1156_eval__evals_OCons) ).
thf(1616,plain,
! [A: list_exp_list_char,B: list_exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ G ) @ H )
=> ( ( evals @ D @ A @ H @ B @ C )
=> ( evals @ D @ ( cons_exp_list_char @ E @ A ) @ F @ ( cons_exp_list_char @ ( val_list_char @ G ) @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[220]) ).
thf(129,axiom,
! [A: list_char,B: list_char,C: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ B ) @ ( transi1395422419t_char @ C ) )
=> ( ( A != B )
=> ~ ! [D: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ D ) @ ( transi1395422419t_char @ C ) )
=> ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ B ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_835_rtranclE) ).
thf(1278,plain,
! [A: list_char,B: list_char,C: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ B ) @ ( transi1395422419t_char @ C ) )
=> ( ( A != B )
=> ~ ! [D: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ D ) @ ( transi1395422419t_char @ C ) )
=> ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ B ) @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[129]) ).
thf(511,axiom,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: nat,E: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_935_redp__redsp_OBlockThrow) ).
thf(2677,plain,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: nat,E: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[511]) ).
thf(242,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat > option1728594148on_val] :
( ( hext @ B @ C )
=> ( ( hext @ C @ A )
=> ( hext @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_565_hext__trans) ).
thf(1680,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat > option1728594148on_val] :
( ( hext @ B @ C )
=> ( ( hext @ C @ A )
=> ( hext @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[242]) ).
thf(84,axiom,
! [A: nat > option1728594148on_val] :
( ( typeof_h @ A @ null )
= ( some_ty @ nt ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1119_typeof__h_Osimps_I2_J) ).
thf(1103,plain,
! [A: nat > option1728594148on_val] :
( ( typeof_h @ A @ null )
= ( some_ty @ nt ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).
thf(523,axiom,
! [A: list_char > option_val] :
( ( map_ad325961431ar_val
@ ^ [B: list_char] : none_val
@ A )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_637_empty__map__add) ).
thf(2717,plain,
! [A: list_char > option_val] :
( ( map_ad325961431ar_val
@ ^ [B: list_char] : none_val
@ A )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[523]) ).
thf(189,axiom,
! [A: list_val,B: exp_list_char,C: list_val,D: exp_list_char] :
( ( ( produc1916172923t_char @ A @ B )
= ( produc1916172923t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_94_Pair__inject) ).
thf(1483,plain,
! [A: list_val,B: exp_list_char,C: list_val,D: exp_list_char] :
( ( ( produc1916172923t_char @ A @ B )
= ( produc1916172923t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[189]) ).
thf(127,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( semila2134664963char_o @ A @ B )
= ( collect_list_char
@ ^ [C: list_char] :
( ( member_list_char @ C @ A )
| ( member_list_char @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_881_Un__def) ).
thf(1273,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( semila2134664963char_o @ A @ B )
= ( collect_list_char
@ ^ [C: list_char] :
( ( member_list_char @ C @ A )
| ( member_list_char @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[127]) ).
thf(596,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: produc2048519645t_char > $o,F: produc1581780743on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( lex_pr1492265728on_val @ E @ F ) )
= ( ( member1199939018t_char @ ( produc943465171t_char @ A @ C ) @ E )
| ( ( A = C )
& ( member565037556on_val @ ( produc259392253on_val @ B @ D ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_377_in__lex__prod) ).
thf(2941,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: produc2048519645t_char > $o,F: produc1581780743on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( lex_pr1492265728on_val @ E @ F ) )
= ( ( member1199939018t_char @ ( produc943465171t_char @ A @ C ) @ E )
| ( ( A = C )
& ( member565037556on_val @ ( produc259392253on_val @ B @ D ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[596]) ).
thf(204,axiom,
! [A: val,B: ty,C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( hext @ C @ D )
=> ( ( ( typeof_h @ C @ A )
= ( some_ty @ B ) )
=> ( ( typeof_h @ D @ A )
= ( some_ty @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1010_hext__typeof__mono) ).
thf(1548,plain,
! [A: val,B: ty,C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( hext @ C @ D )
=> ( ( ( typeof_h @ C @ A )
= ( some_ty @ B ) )
=> ( ( typeof_h @ D @ A )
= ( some_ty @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[204]) ).
thf(693,axiom,
! [A: list_char > option_val,B: list_char,C: val] :
~ ! [D: list_char] :
( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) @ D )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_642_map__upd__nonempty) ).
thf(3262,plain,
! [A: list_char > option_val,B: list_char,C: val] :
~ ! [D: list_char] :
( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) @ D )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[693]) ).
thf(726,axiom,
! [A: list_char > option_val,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( map_ad325961431ar_val @ A @ D ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ ( map_ad325961431ar_val @ A @ G ) ) ) ) @ ( red @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_373_red__lcl__add) ).
thf(3375,plain,
! [A: list_char > option_val,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( map_ad325961431ar_val @ A @ D ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ ( map_ad325961431ar_val @ A @ G ) ) ) ) @ ( red @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[726]) ).
thf(663,axiom,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val] :
( ( ( produc755559506on_val @ A @ B )
= ( produc755559506on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_85_Pair__inject) ).
thf(3158,plain,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val] :
( ( ( produc755559506on_val @ A @ B )
= ( produc755559506on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[663]) ).
thf(370,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char > option_val,D: nat > option1728594148on_val] :
( ( ( new_Addr @ D )
= none_nat )
=> ( eval @ A @ ( new_list_char @ B ) @ ( produc755559506on_val @ D @ C ) @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ D @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1129_NewFail) ).
thf(2144,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char > option_val,D: nat > option1728594148on_val] :
( ( ( new_Addr @ D )
= none_nat )
=> ( eval @ A @ ( new_list_char @ B ) @ ( produc755559506on_val @ D @ C ) @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ D @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[370]) ).
thf(36,axiom,
! [A: list_char] :
( ( class @ A )
!= void ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1058_ty_Osimps_I9_J) ).
thf(906,plain,
! [A: list_char] :
( ( class @ A )
!= void ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).
thf(50,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt @ A @ B @ C @ D @ E )
=> ( wTrt_1 @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1022_wt_H__wt) ).
thf(965,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt @ A @ B @ C @ D @ E )
=> ( wTrt_1 @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).
thf(194,axiom,
null != unit,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1032_val_Osimps_I5_J) ).
thf(1510,plain,
null != unit,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[194]) ).
thf(719,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( lAss_list_char @ A @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_647_LAssReds) ).
thf(3358,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( lAss_list_char @ A @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[719]) ).
thf(408,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( seq_list_char @ ( throw_list_char @ B ) @ C ) @ D @ ( throw_list_char @ B ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_921_redp__redsp_OSeqThrow) ).
thf(2275,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( seq_list_char @ ( throw_list_char @ B ) @ C ) @ D @ ( throw_list_char @ B ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[408]) ).
thf(101,axiom,
! [A: list_P1999446415t_char,B: val,C: bop,D: exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( binOp_list_char @ ( val_list_char @ B ) @ C @ ( throw_list_char @ D ) ) @ E @ ( throw_list_char @ D ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_963_redp__redsp_OBinOpThrow2) ).
thf(1154,plain,
! [A: list_P1999446415t_char,B: val,C: bop,D: exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( binOp_list_char @ ( val_list_char @ B ) @ C @ ( throw_list_char @ D ) ) @ E @ ( throw_list_char @ D ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[101]) ).
thf(670,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ B @ C )
=> ( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_714_set__mp) ).
thf(3187,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ B @ C )
=> ( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[670]) ).
thf(526,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( seq_list_char @ B @ C ) @ D @ E @ F )
=> ( ! [G: val,H: produc2090907612on_val] :
( ( eval @ A @ B @ D @ ( val_list_char @ G ) @ H )
=> ~ ( eval @ A @ C @ H @ E @ F ) )
=> ~ ! [G: exp_list_char] :
( ( E
= ( throw_list_char @ G ) )
=> ~ ( eval @ A @ B @ D @ ( throw_list_char @ G ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_945_eval__cases_I9_J) ).
thf(2727,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( seq_list_char @ B @ C ) @ D @ E @ F )
=> ( ! [G: val,H: produc2090907612on_val] :
( ( eval @ A @ B @ D @ ( val_list_char @ G ) @ H )
=> ~ ( eval @ A @ C @ H @ E @ F ) )
=> ~ ! [G: exp_list_char] :
( ( E
= ( throw_list_char @ G ) )
=> ~ ( eval @ A @ B @ D @ ( throw_list_char @ G ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[526]) ).
thf(594,axiom,
wf_pro755087577t_char @ wf_J_mdecl @ p,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_6_assms) ).
thf(2938,plain,
wf_pro755087577t_char @ wf_J_mdecl @ p,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[594]) ).
thf(564,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ F ) @ ( semila2134664963char_o @ ( dom_list_char_val @ C ) @ ( fv @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_887_Red__dom__lcl) ).
thf(2849,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ F ) @ ( semila2134664963char_o @ ( dom_list_char_val @ C ) @ ( fv @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[564]) ).
thf(382,axiom,
! [A: nat] :
( null
!= ( addr @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1034_val_Osimps_I16_J) ).
thf(2188,plain,
! [A: nat] :
( null
!= ( addr @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[382]) ).
thf(263,axiom,
! [A: list_char,B: exp_list_char,C: option_list_char_o] :
( ( d_list_char @ ( lAss_list_char @ A @ B ) @ C )
= ( d_list_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_568__092_060D_062___092_060D_062s_Osimps_I6_J) ).
thf(1752,plain,
! [A: list_char,B: exp_list_char,C: option_list_char_o] :
( ( d_list_char @ ( lAss_list_char @ A @ B ) @ C )
= ( d_list_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[263]) ).
thf(312,axiom,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( val_list_char @ ( bool @ $false ) ) @ E )
=> ( eval @ B @ ( while_list_char @ C @ A ) @ D @ ( val_list_char @ unit ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1086_WhileF) ).
thf(1929,plain,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( val_list_char @ ( bool @ $false ) ) @ E )
=> ( eval @ B @ ( while_list_char @ C @ A ) @ D @ ( val_list_char @ unit ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[312]) ).
thf(694,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: produc1282892786on_val] :
( ( produc1835097372_val_o @ A @ B )
=> ~ ! [C: exp_list_char,D: produc2090907612on_val] :
( ( B
= ( produc235638504on_val @ C @ D ) )
=> ~ ( A @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_535_splitE) ).
thf(3266,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: produc1282892786on_val] :
( ( produc1835097372_val_o @ A @ B )
=> ~ ! [C: exp_list_char,D: produc2090907612on_val] :
( ( B
= ( produc235638504on_val @ C @ D ) )
=> ~ ( A @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[694]) ).
thf(610,axiom,
! [A: list_char > option_val,B: option_val,C: option_val,D: list_char,E: list_char] :
( ( D != E )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ A @ D @ B ) @ E @ C )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ A @ E @ C ) @ D @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_199_fun__upd__twist) ).
thf(2991,plain,
! [A: list_char > option_val,B: option_val,C: option_val,D: list_char,E: list_char] :
( ( D != E )
=> ( ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ A @ D @ B ) @ E @ C )
= ( fun_up1149430426on_val @ ( fun_up1149430426on_val @ A @ E @ C ) @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[610]) ).
thf(165,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ G ) @ H )
=> ( ( eval @ D @ A @ H @ B @ C )
=> ( eval @ D @ ( seq_list_char @ E @ A ) @ F @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_857_Seq) ).
thf(1403,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ G ) @ H )
=> ( ( eval @ D @ A @ H @ B @ C )
=> ( eval @ D @ ( seq_list_char @ E @ A ) @ F @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[165]) ).
thf(602,axiom,
! [A: list_char > option_val,B: option_val,C: list_char,D: list_char] :
( ( ( D = C )
=> ( ( fun_up1149430426on_val @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up1149430426on_val @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_187_fun__upd__def) ).
thf(2959,plain,
! [A: list_char > option_val,B: option_val,C: list_char,D: list_char] :
( ( ( D = C )
=> ( ( fun_up1149430426on_val @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up1149430426on_val @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[602]) ).
thf(393,axiom,
! [A: bop,B: val,C: exp_list_char,D: val,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: val,J: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ I ) @ J )
=> ( ( eval @ F @ C @ J @ ( val_list_char @ D ) @ E )
=> ( ( ( binop @ ( produc621191550al_val @ A @ ( product_Pair_val_val @ I @ D ) ) )
= ( some_val @ B ) )
=> ( eval @ F @ ( binOp_list_char @ G @ A @ C ) @ H @ ( val_list_char @ B ) @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1000_BinOp) ).
thf(2225,plain,
! [A: bop,B: val,C: exp_list_char,D: val,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: val,J: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ I ) @ J )
=> ( ( eval @ F @ C @ J @ ( val_list_char @ D ) @ E )
=> ( ( ( binop @ ( produc621191550al_val @ A @ ( product_Pair_val_val @ I @ D ) ) )
= ( some_val @ B ) )
=> ( eval @ F @ ( binOp_list_char @ G @ A @ C ) @ H @ ( val_list_char @ B ) @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[393]) ).
thf(765,axiom,
! [A: list_char,B: val,C: nat > option1728594148on_val,D: list_char > option_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ ( val_list_char @ B ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ A @ ( some_val @ B ) ) ) ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_555_red__reds_ORedLAss) ).
thf(3504,plain,
! [A: list_char,B: val,C: nat > option1728594148on_val,D: list_char > option_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ ( val_list_char @ B ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ A @ ( some_val @ B ) ) ) ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[765]) ).
thf(298,axiom,
! [A: produc1581780743on_val > $o] :
( ( ! [B: produc1581780743on_val] : ( A @ B ) )
= ( ! [B: produc2090907612on_val,C: produc2090907612on_val] : ( A @ ( produc259392253on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_158_split__paired__All) ).
thf(1884,plain,
! [A: produc1581780743on_val > $o] :
( ( ! [B: produc1581780743on_val] : ( A @ B ) )
= ( ! [B: produc2090907612on_val,C: produc2090907612on_val] : ( A @ ( produc259392253on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[298]) ).
thf(274,axiom,
! [A: list_char > option_val,B: nat > option1728594148on_val,C: list_P1999446415t_char,D: list_char,E: list_P2023964830har_ty,F: nat > option1728594148on_val,G: nat] :
( ( ( new_Addr @ F )
= ( some_nat @ G ) )
=> ( ( fields1147507508t_char @ C @ D @ E )
=> ( ( B
= ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ ( init_fields @ E ) ) ) ) )
=> ( redp @ C @ ( new_list_char @ D ) @ ( produc755559506on_val @ F @ A ) @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ B @ A ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1132_redp__redsp_ORedNew) ).
thf(1784,plain,
! [A: list_char > option_val,B: nat > option1728594148on_val,C: list_P1999446415t_char,D: list_char,E: list_P2023964830har_ty,F: nat > option1728594148on_val,G: nat] :
( ( ( new_Addr @ F )
= ( some_nat @ G ) )
=> ( ( fields1147507508t_char @ C @ D @ E )
=> ( ( B
= ( fun_up1472480727on_val @ F @ G @ ( some_P451527732on_val @ ( produc926070009on_val @ D @ ( init_fields @ E ) ) ) ) )
=> ( redp @ C @ ( new_list_char @ D ) @ ( produc755559506on_val @ F @ A ) @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ B @ A ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[274]) ).
thf(162,axiom,
! [A: list_char > option_ty,B: list_char,C: option_ty] :
( ( fun_up424764369ion_ty @ A @ B @ C @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_208_fun__upd__same) ).
thf(1389,plain,
! [A: list_char > option_ty,B: list_char,C: option_ty] :
( ( fun_up424764369ion_ty @ A @ B @ C @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[162]) ).
thf(692,axiom,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ A @ ( block_list_char @ B @ C @ D ) @ E @ F @ G )
=> ~ ! [H: nat > option1728594148on_val,I: list_char > option_val] :
( ( E
= ( produc755559506on_val @ H @ I ) )
=> ! [J: nat > option1728594148on_val,K: list_char > option_val] :
( ( G
= ( produc755559506on_val @ J @ ( fun_up1149430426on_val @ K @ B @ ( I @ B ) ) ) )
=> ~ ( eval @ A @ D @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ B @ none_val ) ) @ F @ ( produc755559506on_val @ J @ K ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_890_eval__cases_I8_J) ).
thf(3255,plain,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ A @ ( block_list_char @ B @ C @ D ) @ E @ F @ G )
=> ~ ! [H: nat > option1728594148on_val,I: list_char > option_val] :
( ( E
= ( produc755559506on_val @ H @ I ) )
=> ! [J: nat > option1728594148on_val,K: list_char > option_val] :
( ( G
= ( produc755559506on_val @ J @ ( fun_up1149430426on_val @ K @ B @ ( I @ B ) ) ) )
=> ~ ( eval @ A @ D @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ B @ none_val ) ) @ F @ ( produc755559506on_val @ J @ K ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[692]) ).
thf(22,axiom,
! [A: list_char,B: list_char,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char] :
( ( wTrt @ D @ E @ F @ G @ nt )
=> ( wTrt @ D @ E @ F @ ( fAcc_list_char @ G @ A @ B ) @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1115_WTrt_H__WTrts_H_Ointros_I9_J) ).
thf(843,plain,
! [A: list_char,B: list_char,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char] :
( ( wTrt @ D @ E @ F @ G @ nt )
=> ( wTrt @ D @ E @ F @ ( fAcc_list_char @ G @ A @ B ) @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).
thf(92,axiom,
! [A: produc2088785539on_val] :
( ( the_Pr1885945130on_val @ ( some_P451527732on_val @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_687_the_Osimps) ).
thf(1125,plain,
! [A: produc2088785539on_val] :
( ( the_Pr1885945130on_val @ ( some_P451527732on_val @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).
thf(250,axiom,
! [A: produc1645268488al_val] :
~ ! [B: bop,C: product_prod_val_val] :
( A
!= ( produc621191550al_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_325_PairE) ).
thf(1707,plain,
! [A: produc1645268488al_val] :
~ ! [B: bop,C: product_prod_val_val] :
( A
!= ( produc621191550al_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[250]) ).
thf(577,axiom,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( A @ B @ C )
=> ( produc1835097372_val_o @ A @ ( produc235638504on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_406_prod__caseI) ).
thf(2891,plain,
! [A: exp_list_char > produc2090907612on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( A @ B @ C )
=> ( produc1835097372_val_o @ A @ ( produc235638504on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[577]) ).
thf(1,conjecture,
member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
thf(2,negated_conjecture,
~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) ),
inference(neg_conjecture,[status(cth)],[1]) ).
thf(787,plain,
~ ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ea @ ( produc755559506on_val @ ha @ ( fun_up1149430426on_val @ la @ v_1 @ ( some_val @ v ) ) ) ) @ ( produc235638504on_val @ e_a @ ( produc755559506on_val @ h_a @ l_a ) ) ) @ ( red @ p ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).
thf(117,axiom,
! [A: list_char,B: exp_list_char,C: list_char,D: list_char,E: produc1278157519t_char > option_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: nat,J: nat > option1728594148on_val,K: list_char > option_val] :
( ( eval @ F @ G @ H @ ( throw_list_char @ ( val_list_char @ ( addr @ I ) ) ) @ ( produc755559506on_val @ J @ K ) )
=> ( ( ( J @ I )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ F ) ) )
=> ( eval @ F @ ( tryCatch_list_char @ G @ C @ A @ B ) @ H @ ( throw_list_char @ ( val_list_char @ ( addr @ I ) ) ) @ ( produc755559506on_val @ J @ K ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_970_TryThrow) ).
thf(1239,plain,
! [A: list_char,B: exp_list_char,C: list_char,D: list_char,E: produc1278157519t_char > option_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: nat,J: nat > option1728594148on_val,K: list_char > option_val] :
( ( eval @ F @ G @ H @ ( throw_list_char @ ( val_list_char @ ( addr @ I ) ) ) @ ( produc755559506on_val @ J @ K ) )
=> ( ( ( J @ I )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ F ) ) )
=> ( eval @ F @ ( tryCatch_list_char @ G @ C @ A @ B ) @ H @ ( throw_list_char @ ( val_list_char @ ( addr @ I ) ) ) @ ( produc755559506on_val @ J @ K ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[117]) ).
thf(536,axiom,
! [A: list_char > option_val,B: list_char] :
( ( fun_up1149430426on_val @ A @ B @ ( A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_2_fun__upd__triv) ).
thf(2759,plain,
! [A: list_char > option_val,B: list_char] :
( ( fun_up1149430426on_val @ A @ B @ ( A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[536]) ).
thf(267,axiom,
! [A: list_char,B: list_exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( call_list_char @ D @ A @ B ) @ E @ ( call_list_char @ F @ A @ B ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1137_redp__redsp_OCallObj) ).
thf(1765,plain,
! [A: list_char,B: list_exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( call_list_char @ D @ A @ B ) @ E @ ( call_list_char @ F @ A @ B ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[267]) ).
thf(449,axiom,
! [A: exp_list_char,B: exp_list_char,C: val] :
( ( seq_list_char @ A @ B )
!= ( val_list_char @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_578_exp_Osimps_I85_J) ).
thf(2425,plain,
! [A: exp_list_char,B: exp_list_char,C: val] :
( ( seq_list_char @ A @ B )
!= ( val_list_char @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[449]) ).
thf(123,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ( ord_le1777678169char_o @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_693_equalityD2) ).
thf(1258,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ( ord_le1777678169char_o @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[123]) ).
thf(46,axiom,
! [A: list_char,B: ty,C: list_char,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char,H: list_char] :
( ( wTrt @ D @ E @ F @ G @ ( class @ H ) )
=> ( ( has_fi1183600461t_char @ D @ H @ A @ B @ C )
=> ( wTrt @ D @ E @ F @ ( fAcc_list_char @ G @ A @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1025_WTrt_H__WTrts_H_Ointros_I8_J) ).
thf(947,plain,
! [A: list_char,B: ty,C: list_char,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char,H: list_char] :
( ( wTrt @ D @ E @ F @ G @ ( class @ H ) )
=> ( ( has_fi1183600461t_char @ D @ H @ A @ B @ C )
=> ( wTrt @ D @ E @ F @ ( fAcc_list_char @ G @ A @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).
thf(665,axiom,
! [A: produc1746408499on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( produc803302844_val_o @ A @ B @ C )
=> ( A @ ( produc833389609on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_497_curryE) ).
thf(3170,plain,
! [A: produc1746408499on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( produc803302844_val_o @ A @ B @ C )
=> ( A @ ( produc833389609on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[665]) ).
thf(647,axiom,
! [A: list_char,B: list_exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1139_red__reds_OCallObj) ).
thf(3118,plain,
! [A: list_char,B: list_exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ E @ A @ B ) @ F ) ) @ ( red @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[647]) ).
thf(391,axiom,
! [A: exp_list_char,B: list_exp_list_char] :
( ( fvs @ ( cons_exp_list_char @ A @ B ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fvs @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1155_fv__fvs_Osimps_I17_J) ).
thf(2220,plain,
! [A: exp_list_char,B: list_exp_list_char] :
( ( fvs @ ( cons_exp_list_char @ A @ B ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fvs @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[391]) ).
thf(303,axiom,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: exp_list_char,E: produc2090907612on_val,F: nat,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ F ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( ( hp @ G @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ F ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_981_CastRedsAddr) ).
thf(1897,plain,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: exp_list_char,E: produc2090907612on_val,F: nat,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ F ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( ( hp @ G @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ F ) ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[303]) ).
thf(482,axiom,
! [A: produc349695911t_char] :
~ ! [B: produc1285161482t_char,C: list_list_char,D: list_ty,E: produc662261637t_char] :
( A
!= ( produc24551831t_char @ B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_50_prod__cases4) ).
thf(2557,plain,
! [A: produc349695911t_char] :
~ ! [B: produc1285161482t_char,C: list_list_char,D: list_ty,E: produc662261637t_char] :
( A
!= ( produc24551831t_char @ B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[482]) ).
thf(471,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val] :
( ( ( produc1302104557on_val @ A @ B )
= ( produc1302104557on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_135_Pair__eq) ).
thf(2510,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val] :
( ( ( produc1302104557on_val @ A @ B )
= ( produc1302104557on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[471]) ).
thf(642,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( ( eval @ G @ E @ F @ A @ B )
=> ( eval @ G @ C @ D @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_851_extend__eval) ).
thf(3101,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( ( eval @ G @ E @ F @ A @ B )
=> ( eval @ G @ C @ D @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[642]) ).
thf(512,axiom,
! [A: list_char,B: list_char,C: list_char,D: list_char] :
( ( ( produc5062597t_char @ A @ B )
= ( produc5062597t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_131_Pair__eq) ).
thf(2679,plain,
! [A: list_char,B: list_char,C: list_char,D: list_char] :
( ( ( produc5062597t_char @ A @ B )
= ( produc5062597t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[512]) ).
thf(18,axiom,
! [A: list_exp_list_char,B: list_exp_list_char,C: list_exp_list_char,D: list_exp_list_char] :
( ( ( produc1237966615t_char @ A @ B )
= ( produc1237966615t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_116_Pair__eq) ).
thf(831,plain,
! [A: list_exp_list_char,B: list_exp_list_char,C: list_exp_list_char,D: list_exp_list_char] :
( ( ( produc1237966615t_char @ A @ B )
= ( produc1237966615t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).
thf(465,axiom,
! [A: produc1278157519t_char > option_val,B: nat,C: list_char,D: produc1278157519t_char > option_val,E: list_P1999446415t_char,F: nat > option1728594148on_val] :
( ( hconf_97414254t_char @ E @ F )
=> ( ( ( F @ B )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ D ) ) )
=> ( ( oconf_1869808039t_char @ E @ F @ ( produc926070009on_val @ C @ A ) )
=> ( hconf_97414254t_char @ E @ ( fun_up1472480727on_val @ F @ B @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ A ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_586_hconf__upd__obj) ).
thf(2478,plain,
! [A: produc1278157519t_char > option_val,B: nat,C: list_char,D: produc1278157519t_char > option_val,E: list_P1999446415t_char,F: nat > option1728594148on_val] :
( ( hconf_97414254t_char @ E @ F )
=> ( ( ( F @ B )
= ( some_P451527732on_val @ ( produc926070009on_val @ C @ D ) ) )
=> ( ( oconf_1869808039t_char @ E @ F @ ( produc926070009on_val @ C @ A ) )
=> ( hconf_97414254t_char @ E @ ( fun_up1472480727on_val @ F @ B @ ( some_P451527732on_val @ ( produc926070009on_val @ C @ A ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[465]) ).
thf(63,axiom,
! [A: option1728594148on_val] :
( ( A != none_P1260844216on_val )
= ( ? [B: produc2088785539on_val] :
( A
= ( some_P451527732on_val @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_621_not__None__eq) ).
thf(1011,plain,
! [A: option1728594148on_val] :
( ( A != none_P1260844216on_val )
= ( ? [B: produc2088785539on_val] :
( A
= ( some_P451527732on_val @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).
thf(74,axiom,
add != c_Expr_Obop_OEq,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1081_bop_Osimps_I2_J) ).
thf(1048,plain,
add != c_Expr_Obop_OEq,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).
thf(360,axiom,
! [A: nat,B: list_char,C: produc1278157519t_char > option_val,D: nat > option1728594148on_val,E: nat > option1728594148on_val] :
( ( hext @ D @ E )
=> ( ( ( D @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ? [F: produc1278157519t_char > option_val] :
( ( E @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_566_hext__objD) ).
thf(2097,plain,
! [A: nat,B: list_char,C: produc1278157519t_char > option_val,D: nat > option1728594148on_val,E: nat > option1728594148on_val] :
( ( hext @ D @ E )
=> ( ( ( D @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ? [F: produc1278157519t_char > option_val] :
( ( E @ A )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ F ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[360]) ).
thf(400,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( while_list_char @ B @ C ) @ D @ ( cond_list_char @ B @ ( seq_list_char @ C @ ( while_list_char @ B @ C ) ) @ ( val_list_char @ unit ) ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1107_redp__redsp_ORedWhile) ).
thf(2246,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val] : ( redp @ A @ ( while_list_char @ B @ C ) @ D @ ( cond_list_char @ B @ ( seq_list_char @ C @ ( while_list_char @ B @ C ) ) @ ( val_list_char @ unit ) ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[400]) ).
thf(277,axiom,
! [A: list_char,B: list_char > option_val] :
( ( member_list_char @ A @ ( dom_list_char_val @ B ) )
= ( ( B @ A )
!= none_val ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_629_domIff) ).
thf(1801,plain,
! [A: list_char,B: list_char > option_val] :
( ( member_list_char @ A @ ( dom_list_char_val @ B ) )
= ( ( B @ A )
!= none_val ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[277]) ).
thf(432,axiom,
! [A: bop,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( binOp_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_955_eval__evals_OBinOpThrow1) ).
thf(2378,plain,
! [A: bop,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( binOp_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[432]) ).
thf(350,axiom,
! [A: option_nat] :
( ( A != none_nat )
= ( ? [B: nat] :
( A
= ( some_nat @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_619_not__None__eq) ).
thf(2065,plain,
! [A: option_nat] :
( ( A != none_nat )
= ( ? [B: nat] :
( A
= ( some_nat @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[350]) ).
thf(356,axiom,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val] :
( ( fun_up1472480727on_val @ A @ B @ C @ B )
= C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_209_fun__upd__same) ).
thf(2079,plain,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val] :
( ( fun_up1472480727on_val @ A @ B @ C @ B )
= C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[356]) ).
thf(419,axiom,
! [A: list_char,B: exp_list_char,C: list_char,D: list_P1999446415t_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ G @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ C @ A @ B ) @ E ) @ ( produc235638504on_val @ ( block_list_char @ A @ ( class @ C ) @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ ( addr @ F ) ) ) @ B ) ) @ E ) ) @ ( red @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_979_red__reds_ORedTryCatch) ).
thf(2311,plain,
! [A: list_char,B: exp_list_char,C: list_char,D: list_P1999446415t_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ G @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ C @ A @ B ) @ E ) @ ( produc235638504on_val @ ( block_list_char @ A @ ( class @ C ) @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ ( addr @ F ) ) ) @ B ) ) @ E ) ) @ ( red @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[419]) ).
thf(114,axiom,
! [A: list_char > $o,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( A @ B )
=> ( ! [E: list_char,F: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ E ) @ ( transi1395422419t_char @ D ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ E @ F ) @ D )
=> ( ( A @ E )
=> ( A @ F ) ) ) )
=> ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_797_rtrancl__induct) ).
thf(1209,plain,
! [A: list_char > $o,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( A @ B )
=> ( ! [E: list_char,F: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ E ) @ ( transi1395422419t_char @ D ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ E @ F ) @ D )
=> ( ( A @ E )
=> ( A @ F ) ) ) )
=> ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[114]) ).
thf(717,axiom,
! [A: produc652964533on_val,B: produc652964533on_val > $o] :
( ! [C: produc1746408499on_val,D: produc1282892786on_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] : ( B @ ( produc345758123on_val @ C @ ( produc833389609on_val @ D @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_21_prod__induct5) ).
thf(3352,plain,
! [A: produc652964533on_val,B: produc652964533on_val > $o] :
( ! [C: produc1746408499on_val,D: produc1282892786on_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] : ( B @ ( produc345758123on_val @ C @ ( produc833389609on_val @ D @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[717]) ).
thf(372,axiom,
! [A: produc1250491293on_val] :
~ ! [B: produc618524391on_val,C: produc1180562163on_val,D: list_exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] :
( A
!= ( produc1347028499on_val @ B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_25_prod__cases5) ).
thf(2151,plain,
! [A: produc1250491293on_val] :
~ ! [B: produc618524391on_val,C: produc1180562163on_val,D: list_exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] :
( A
!= ( produc1347028499on_val @ B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[372]) ).
thf(501,axiom,
! [A: nat] :
( ( the_nat @ ( some_nat @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_686_the_Osimps) ).
thf(2642,plain,
! [A: nat] :
( ( the_nat @ ( some_nat @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[501]) ).
thf(623,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( seq_list_char @ D @ A ) @ E ) ) @ ( red @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_481_red__reds_OSeqRed) ).
thf(3038,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( seq_list_char @ D @ A ) @ E ) ) @ ( red @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[623]) ).
thf(448,axiom,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val] :
( ( ( fun_up1472480727on_val @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_217_fun__upd__idem__iff) ).
thf(2422,plain,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val] :
( ( ( fun_up1472480727on_val @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[448]) ).
thf(404,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ ( bool @ $true ) ) @ G )
=> ( ( eval @ D @ A @ G @ ( throw_list_char @ B ) @ C )
=> ( eval @ D @ ( while_list_char @ E @ A ) @ F @ ( throw_list_char @ B ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1085_WhileBodyThrow) ).
thf(2257,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ ( bool @ $true ) ) @ G )
=> ( ( eval @ D @ A @ G @ ( throw_list_char @ B ) @ C )
=> ( eval @ D @ ( while_list_char @ E @ A ) @ F @ ( throw_list_char @ B ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[404]) ).
thf(58,axiom,
! [A: ty] :
( none_ty
!= ( some_ty @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_605_option_Osimps_I2_J) ).
thf(996,plain,
! [A: ty] :
( none_ty
!= ( some_ty @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).
thf(412,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: val,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ ( bool @ $true ) ) @ I )
=> ( ( eval @ F @ C @ I @ ( val_list_char @ D ) @ E )
=> ( ( eval @ F @ ( while_list_char @ G @ C ) @ E @ A @ B )
=> ( eval @ F @ ( while_list_char @ G @ C ) @ H @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1084_WhileT) ).
thf(2284,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: val,E: produc2090907612on_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: produc2090907612on_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ ( bool @ $true ) ) @ I )
=> ( ( eval @ F @ C @ I @ ( val_list_char @ D ) @ E )
=> ( ( eval @ F @ ( while_list_char @ G @ C ) @ E @ A @ B )
=> ( eval @ F @ ( while_list_char @ G @ C ) @ H @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[412]) ).
thf(314,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_val,I: list_list_char,J: list_ty] :
( ( ( size_s2113983095t_char @ I )
= ( size_size_list_ty @ J ) )
=> ( ( ( size_s2113983095t_char @ I )
= ( size_size_list_val @ H ) )
=> ( ( eval @ A @ ( blocks @ ( produc921874948t_char @ I @ ( produc1909267824t_char @ J @ ( produc1916172923t_char @ H @ B ) ) ) ) @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ? [K: list_char > option_val] : ( eval @ A @ B @ ( produc755559506on_val @ C @ ( map_up1085636310ar_val @ D @ I @ H ) ) @ E @ ( produc755559506on_val @ F @ K ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1189_blocksEval) ).
thf(1933,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_val,I: list_list_char,J: list_ty] :
( ( ( size_s2113983095t_char @ I )
= ( size_size_list_ty @ J ) )
=> ( ( ( size_s2113983095t_char @ I )
= ( size_size_list_val @ H ) )
=> ( ( eval @ A @ ( blocks @ ( produc921874948t_char @ I @ ( produc1909267824t_char @ J @ ( produc1916172923t_char @ H @ B ) ) ) ) @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ? [K: list_char > option_val] : ( eval @ A @ B @ ( produc755559506on_val @ C @ ( map_up1085636310ar_val @ D @ I @ H ) ) @ E @ ( produc755559506on_val @ F @ K ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[314]) ).
thf(567,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_898_FAssReds1) ).
thf(2856,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[567]) ).
thf(551,axiom,
! [A: list_P1999446415t_char,B: list_exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( evals @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( hext @ C @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1148_evals__hext) ).
thf(2802,plain,
! [A: list_P1999446415t_char,B: list_exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( evals @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( hext @ C @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[551]) ).
thf(207,axiom,
! [A: produc662261637t_char] :
~ ! [B: list_val,C: exp_list_char] :
( A
!= ( produc1916172923t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_303_prod_Oexhaust) ).
thf(1571,plain,
! [A: produc662261637t_char] :
~ ! [B: list_val,C: exp_list_char] :
( A
!= ( produc1916172923t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[207]) ).
thf(159,axiom,
! [A: list_char > option_val] :
( ( dom_list_char_val @ A )
= ( collect_list_char
@ ^ [B: list_char] :
( ( A @ B )
!= none_val ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_627_dom__def) ).
thf(1376,plain,
! [A: list_char > option_val] :
( ( dom_list_char_val @ A )
= ( collect_list_char
@ ^ [B: list_char] :
( ( A @ B )
!= none_val ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[159]) ).
thf(679,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o
@ ^ [C: produc1746408499on_val] : ( member1913460000on_val @ C @ A )
@ ^ [C: produc1746408499on_val] : ( member1913460000on_val @ C @ B ) )
= ( ord_le1364969894_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_603_pred__subset__eq) ).
thf(3219,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o
@ ^ [C: produc1746408499on_val] : ( member1913460000on_val @ C @ A )
@ ^ [C: produc1746408499on_val] : ( member1913460000on_val @ C @ B ) )
= ( ord_le1364969894_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[679]) ).
thf(380,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val] : ( redp @ A @ ( throw_list_char @ ( throw_list_char @ B ) ) @ C @ ( throw_list_char @ B ) @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_911_redp__redsp_OThrowThrow) ).
thf(2182,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val] : ( redp @ A @ ( throw_list_char @ ( throw_list_char @ B ) ) @ C @ ( throw_list_char @ B ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[380]) ).
thf(185,axiom,
! [A: val,B: list_char,C: list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( redp @ D @ E @ F @ G @ H )
=> ( redp @ D @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ E ) @ F @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ G ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_894_redp__redsp_OFAssRed2) ).
thf(1471,plain,
! [A: val,B: list_char,C: list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( redp @ D @ E @ F @ G @ H )
=> ( redp @ D @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ E ) @ F @ ( fAss_list_char @ ( val_list_char @ A ) @ B @ C @ G ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[185]) ).
thf(652,axiom,
( ( l_a @ v_1 )
= ( some_val @ v_2 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0_InitBlockRed_I3_J) ).
thf(3133,plain,
( ( l_a @ v_1 )
= ( some_val @ v_2 ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[652]) ).
thf(425,axiom,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: val,E: val,F: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( seq_list_char @ ( lAss_list_char @ B @ ( val_list_char @ D ) ) @ ( val_list_char @ E ) ) ) @ F @ ( val_list_char @ E ) @ F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_652_redp__redsp_ORedInitBlock) ).
thf(2343,plain,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: val,E: val,F: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( seq_list_char @ ( lAss_list_char @ B @ ( val_list_char @ D ) ) @ ( val_list_char @ E ) ) ) @ F @ ( val_list_char @ E ) @ F ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[425]) ).
thf(284,axiom,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( cast_list_char @ A @ C ) @ D @ ( throw_list_char @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_985_eval__evals_OCastThrow) ).
thf(1821,plain,
! [A: list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( cast_list_char @ A @ C ) @ D @ ( throw_list_char @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[284]) ).
thf(8,axiom,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
=> ( ( typeof_h @ A @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) )
= ( some_ty @ ( class @ outOfMemory ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1015_typeof__OutOfMemory) ).
thf(799,plain,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
=> ( ( typeof_h @ A @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) )
= ( some_ty @ ( class @ outOfMemory ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).
thf(24,axiom,
! [A: option_ty] :
( ( A != none_ty )
=> ~ ! [B: ty] :
( A
!= ( some_ty @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_791_option_Oexhaust) ).
thf(848,plain,
! [A: option_ty] :
( ( A != none_ty )
=> ~ ! [B: ty] :
( A
!= ( some_ty @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).
thf(574,axiom,
! [A: produc652964533on_val] :
~ ! [B: produc1746408499on_val,C: produc1282892786on_val,D: exp_list_char,E: produc2090907612on_val] :
( A
!= ( produc345758123on_val @ B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_47_prod__cases4) ).
thf(2874,plain,
! [A: produc652964533on_val] :
~ ! [B: produc1746408499on_val,C: produc1282892786on_val,D: exp_list_char,E: produc2090907612on_val] :
( A
!= ( produc345758123on_val @ B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[574]) ).
thf(758,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: val,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ ( produc755559506on_val @ E @ F ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ E @ ( fun_up1149430426on_val @ F @ A @ ( some_val @ D ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_590_LAssRedsVal) ).
thf(3483,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: val,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ ( produc755559506on_val @ E @ F ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ ( produc755559506on_val @ E @ ( fun_up1149430426on_val @ F @ A @ ( some_val @ D ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[758]) ).
thf(508,axiom,
! [A: ty,B: list_P1999446415t_char,C: ty,D: ty] :
( ( widen_2090681816t_char @ B @ C @ D )
=> ( ( widen_2090681816t_char @ B @ D @ A )
=> ( widen_2090681816t_char @ B @ C @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_347_widen__trans) ).
thf(2664,plain,
! [A: ty,B: list_P1999446415t_char,C: ty,D: ty] :
( ( widen_2090681816t_char @ B @ C @ D )
=> ( ( widen_2090681816t_char @ B @ D @ A )
=> ( widen_2090681816t_char @ B @ C @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[508]) ).
thf(481,axiom,
! [A: list_P1999446415t_char,B: list_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ( transi1065307915t_char @ ( subcls744239332t_char @ A ) @ E @ B )
=> ( redp @ A @ ( cast_list_char @ B @ ( val_list_char @ ( addr @ D ) ) ) @ C @ ( val_list_char @ ( addr @ D ) ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1054_redp__redsp_ORedCast) ).
thf(2553,plain,
! [A: list_P1999446415t_char,B: list_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ( transi1065307915t_char @ ( subcls744239332t_char @ A ) @ E @ B )
=> ( redp @ A @ ( cast_list_char @ B @ ( val_list_char @ ( addr @ D ) ) ) @ C @ ( val_list_char @ ( addr @ D ) ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[481]) ).
thf(604,axiom,
! [A: list_char > option_val,B: list_char,C: option_val] :
( ( ( A @ B )
= C )
=> ( ( fun_up1149430426on_val @ A @ B @ C )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_191_fun__upd__idem) ).
thf(2974,plain,
! [A: list_char > option_val,B: list_char,C: option_val] :
( ( ( A @ B )
= C )
=> ( ( fun_up1149430426on_val @ A @ B @ C )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[604]) ).
thf(238,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ B @ C @ D @ E )
=> ( final_list_char @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_888_eval__final) ).
thf(1667,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ B @ C @ D @ E )
=> ( final_list_char @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[238]) ).
thf(379,axiom,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( seq_list_char @ C @ A ) @ D @ ( throw_list_char @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_918_eval__evals_OSeqThrow) ).
thf(2180,plain,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ B @ C @ D @ ( throw_list_char @ E ) @ F )
=> ( eval @ B @ ( seq_list_char @ C @ A ) @ D @ ( throw_list_char @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[379]) ).
thf(147,axiom,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: nat,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ H @ I ) )
=> ( ( ( H @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( eval @ D @ ( cast_list_char @ A @ E ) @ F @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ ( produc755559506on_val @ H @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1002_CastFail) ).
thf(1339,plain,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: nat,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ H @ I ) )
=> ( ( ( H @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( eval @ D @ ( cast_list_char @ A @ E ) @ F @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ ( produc755559506on_val @ H @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[147]) ).
thf(619,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( cond_list_char @ A @ ( seq_list_char @ B @ ( while_list_char @ A @ B ) ) @ ( val_list_char @ unit ) ) @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1091_red__reds_ORedWhile) ).
thf(3027,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( cond_list_char @ A @ ( seq_list_char @ B @ ( while_list_char @ A @ B ) ) @ ( val_list_char @ unit ) ) @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[619]) ).
thf(225,axiom,
! [A: nat,B: produc2088785539on_val,C: list_P1999446415t_char,D: nat > option1728594148on_val] :
( ( hconf_97414254t_char @ C @ D )
=> ( ( ( D @ A )
= ( some_P451527732on_val @ B ) )
=> ( oconf_1869808039t_char @ C @ D @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_651_hconfD) ).
thf(1630,plain,
! [A: nat,B: produc2088785539on_val,C: list_P1999446415t_char,D: nat > option1728594148on_val] :
( ( hconf_97414254t_char @ C @ D )
=> ( ( ( D @ A )
= ( some_P451527732on_val @ B ) )
=> ( oconf_1869808039t_char @ C @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[225]) ).
thf(330,axiom,
! [A: list_char,B: produc1278157519t_char > option_val,C: list_char,D: produc1278157519t_char > option_val] :
( ( ( produc926070009on_val @ A @ B )
= ( produc926070009on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_86_Pair__inject) ).
thf(1993,plain,
! [A: list_char,B: produc1278157519t_char > option_val,C: list_char,D: produc1278157519t_char > option_val] :
( ( ( produc926070009on_val @ A @ B )
= ( produc926070009on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[330]) ).
thf(443,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ D )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ C @ A ) @ ( transi808828192on_val @ D ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ B @ A ) @ ( transi808828192on_val @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_722_converse__rtrancl__into__rtrancl) ).
thf(2410,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ D )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ C @ A ) @ ( transi808828192on_val @ D ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ B @ A ) @ ( transi808828192on_val @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[443]) ).
thf(590,axiom,
! [A: exp_list_char,B: list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1140_red__reds_OCallThrowObj) ).
thf(2923,plain,
! [A: exp_list_char,B: list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[590]) ).
thf(183,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( transi808828192on_val @ ( reds @ G ) ) )
=> ( ( evals @ G @ E @ F @ A @ B )
=> ( evals @ G @ C @ D @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1146_extend__evals) ).
thf(1460,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( transi808828192on_val @ ( reds @ G ) ) )
=> ( ( evals @ G @ E @ F @ A @ B )
=> ( evals @ G @ C @ D @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[183]) ).
thf(503,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( ( produc943465171t_char @ A @ B )
= ( produc943465171t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_117_Pair__eq) ).
thf(2647,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( ( produc943465171t_char @ A @ B )
= ( produc943465171t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[503]) ).
thf(660,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1039_CastRedsNull) ).
thf(3150,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[660]) ).
thf(561,axiom,
! [A: list_char,B: list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( val_list_char @ null ) @ A @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1031_red__reds_ORedFAccNull) ).
thf(2842,plain,
! [A: list_char,B: list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( val_list_char @ null ) @ A @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[561]) ).
thf(78,axiom,
! [A: produc630464863al_val] :
~ ! [B: produc1645268488al_val,C: bop,D: product_prod_val_val] :
( A
!= ( produc1924279125al_val @ B @ ( produc621191550al_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_236_prod__cases3) ).
thf(1061,plain,
! [A: produc630464863al_val] :
~ ! [B: produc1645268488al_val,C: bop,D: product_prod_val_val] :
( A
!= ( produc1924279125al_val @ B @ ( produc621191550al_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).
thf(354,axiom,
! [A: list_P1999446415t_char,B: ty] : ( widen_2090681816t_char @ A @ B @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_219_widen__refl) ).
thf(2075,plain,
! [A: list_P1999446415t_char,B: ty] : ( widen_2090681816t_char @ A @ B @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[354]) ).
thf(48,axiom,
c_Expr_Obop_OEq != add,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1082_bop_Osimps_I1_J) ).
thf(959,plain,
c_Expr_Obop_OEq != add,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).
thf(17,axiom,
! [A: produc349695911t_char,B: produc349695911t_char > $o] :
( ! [C: produc1285161482t_char,D: list_list_char,E: produc220283002t_char] : ( B @ ( produc24551831t_char @ C @ ( produc921874948t_char @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_263_prod__induct3) ).
thf(827,plain,
! [A: produc349695911t_char,B: produc349695911t_char > $o] :
( ! [C: produc1285161482t_char,D: list_list_char,E: produc220283002t_char] : ( B @ ( produc24551831t_char @ C @ ( produc921874948t_char @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).
thf(358,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_char,D: list_char,E: exp_list_char,F: produc2090907612on_val] : ( redp @ A @ ( fAss_list_char @ ( throw_list_char @ B ) @ C @ D @ E ) @ F @ ( throw_list_char @ B ) @ F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_923_redp__redsp_OFAssThrow1) ).
thf(2086,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_char,D: list_char,E: exp_list_char,F: produc2090907612on_val] : ( redp @ A @ ( fAss_list_char @ ( throw_list_char @ B ) @ C @ D @ E ) @ F @ ( throw_list_char @ B ) @ F ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[358]) ).
thf(230,axiom,
! [A: $o] :
( ( bool @ A )
!= null ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1071_val_Osimps_I13_J) ).
thf(1643,plain,
! [A: $o] :
( ( bool @ A )
!= null ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[230]) ).
thf(31,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char,F: list_char,G: ty] :
( ( wTrt_1 @ A @ B @ C @ ( fAcc_list_char @ D @ E @ F ) @ G )
=> ( ! [H: list_char] :
( ( wTrt_1 @ A @ B @ C @ D @ ( class @ H ) )
=> ~ ( has_fi1183600461t_char @ A @ H @ E @ G @ F ) )
=> ( wTrt_1 @ A @ B @ C @ D @ nt ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1120_WTrt__elim__cases_I7_J) ).
thf(883,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char,F: list_char,G: ty] :
( ( wTrt_1 @ A @ B @ C @ ( fAcc_list_char @ D @ E @ F ) @ G )
=> ( ! [H: list_char] :
( ( wTrt_1 @ A @ B @ C @ D @ ( class @ H ) )
=> ~ ( has_fi1183600461t_char @ A @ H @ E @ G @ F ) )
=> ( wTrt_1 @ A @ B @ C @ D @ nt ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).
thf(687,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( produc1624062875_val_o @ A @ ( produc833389609on_val @ B @ C ) )
=> ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_455_splitD) ).
thf(3241,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( produc1624062875_val_o @ A @ ( produc833389609on_val @ B @ C ) )
=> ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[687]) ).
thf(721,axiom,
! [A: exp_list_char,B: list_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: list_char,H: produc1278157519t_char > option_val,I: exp_list_char,J: produc2090907612on_val,K: nat,L: nat > option1728594148on_val,M: list_char > option_val,N: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ J ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ K ) ) ) @ ( produc755559506on_val @ L @ M ) ) ) @ ( transi2118771717on_val @ ( red @ N ) ) )
=> ( ( ( L @ K )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ G @ F ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ N ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ L @ ( fun_up1149430426on_val @ M @ B @ ( some_val @ ( addr @ K ) ) ) ) ) @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) ) @ ( transi2118771717on_val @ ( red @ N ) ) )
=> ( ( final_list_char @ C )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ I @ F @ B @ A ) @ J ) @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ B @ ( M @ B ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ N ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_949_TryCatchRedsFinal) ).
thf(3363,plain,
! [A: exp_list_char,B: list_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: list_char,H: produc1278157519t_char > option_val,I: exp_list_char,J: produc2090907612on_val,K: nat,L: nat > option1728594148on_val,M: list_char > option_val,N: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ J ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ K ) ) ) @ ( produc755559506on_val @ L @ M ) ) ) @ ( transi2118771717on_val @ ( red @ N ) ) )
=> ( ( ( L @ K )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ G @ F ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ N ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ L @ ( fun_up1149430426on_val @ M @ B @ ( some_val @ ( addr @ K ) ) ) ) ) @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ E ) ) ) @ ( transi2118771717on_val @ ( red @ N ) ) )
=> ( ( final_list_char @ C )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ I @ F @ B @ A ) @ J ) @ ( produc235638504on_val @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ B @ ( M @ B ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ N ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[721]) ).
thf(191,axiom,
! [A: list_exp_list_char,B: list_exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ G ) @ ( produc1302104557on_val @ B @ C ) ) @ ( transi808828192on_val @ ( reds @ H ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ D @ A ) @ E ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ F ) @ B ) @ C ) ) @ ( transi808828192on_val @ ( reds @ H ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1166_ListRedsVal) ).
thf(1496,plain,
! [A: list_exp_list_char,B: list_exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ G ) @ ( produc1302104557on_val @ B @ C ) ) @ ( transi808828192on_val @ ( reds @ H ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ D @ A ) @ E ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ ( val_list_char @ F ) @ B ) @ C ) ) @ ( transi808828192on_val @ ( reds @ H ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[191]) ).
thf(613,axiom,
! [A: exp_list_char,B: bop,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_966_red__reds_OBinOpThrow1) ).
thf(2999,plain,
! [A: exp_list_char,B: bop,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[613]) ).
thf(388,axiom,
! [A: produc1278157519t_char > option_val,B: option_val,C: produc1278157519t_char,D: produc1278157519t_char] :
( ( ( D = C )
=> ( ( fun_up204312361on_val @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up204312361on_val @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_190_fun__upd__def) ).
thf(2207,plain,
! [A: produc1278157519t_char > option_val,B: option_val,C: produc1278157519t_char,D: produc1278157519t_char] :
( ( ( D = C )
=> ( ( fun_up204312361on_val @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up204312361on_val @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[388]) ).
thf(325,axiom,
! [A: val,B: list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( transi808828192on_val @ ( reds @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1152_CallRedsParams) ).
thf(1973,plain,
! [A: val,B: list_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ C @ D ) @ ( produc1302104557on_val @ E @ F ) ) @ ( transi808828192on_val @ ( reds @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ A ) @ B @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[325]) ).
thf(728,axiom,
! [A: list_char,B: ty,C: val,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( val_list_char @ C ) ) @ D ) @ ( produc235638504on_val @ ( val_list_char @ C ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_462_red__reds_ORedBlock) ).
thf(3380,plain,
! [A: list_char,B: ty,C: val,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( val_list_char @ C ) ) @ D ) @ ( produc235638504on_val @ ( val_list_char @ C ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[728]) ).
thf(214,axiom,
! [A: nat,B: nat] :
( ( ( addr @ A )
= ( addr @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_948_val_Osimps_I3_J) ).
thf(1594,plain,
! [A: nat,B: nat] :
( ( ( addr @ A )
= ( addr @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[214]) ).
thf(248,axiom,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: produc1180562163on_val] :
( A
!= ( produc747700183on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_323_PairE) ).
thf(1699,plain,
! [A: produc618524391on_val] :
~ ! [B: produc1180562163on_val,C: produc1180562163on_val] :
( A
!= ( produc747700183on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[248]) ).
thf(741,axiom,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_973_BinOpRedsThrow1) ).
thf(3423,plain,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[741]) ).
thf(73,axiom,
! [A: produc1406897475t_char] :
~ ! [B: produc220283002t_char,C: list_ty,D: produc662261637t_char] :
( A
!= ( produc57279289t_char @ B @ ( produc1909267824t_char @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_240_prod__cases3) ).
thf(1044,plain,
! [A: produc1406897475t_char] :
~ ! [B: produc220283002t_char,C: list_ty,D: produc662261637t_char] :
( A
!= ( produc57279289t_char @ B @ ( produc1909267824t_char @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).
thf(119,axiom,
! [A: list_char,B: list_char,C: val,D: list_char,E: produc1278157519t_char > option_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: nat,J: nat > option1728594148on_val,K: list_char > option_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ ( addr @ I ) ) @ ( produc755559506on_val @ J @ K ) )
=> ( ( ( J @ I )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ( ( E @ ( produc5062597t_char @ A @ B ) )
= ( some_val @ C ) )
=> ( eval @ F @ ( fAcc_list_char @ G @ A @ B ) @ H @ ( val_list_char @ C ) @ ( produc755559506on_val @ J @ K ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_906_FAcc) ).
thf(1245,plain,
! [A: list_char,B: list_char,C: val,D: list_char,E: produc1278157519t_char > option_val,F: list_P1999446415t_char,G: exp_list_char,H: produc2090907612on_val,I: nat,J: nat > option1728594148on_val,K: list_char > option_val] :
( ( eval @ F @ G @ H @ ( val_list_char @ ( addr @ I ) ) @ ( produc755559506on_val @ J @ K ) )
=> ( ( ( J @ I )
= ( some_P451527732on_val @ ( produc926070009on_val @ D @ E ) ) )
=> ( ( ( E @ ( produc5062597t_char @ A @ B ) )
= ( some_val @ C ) )
=> ( eval @ F @ ( fAcc_list_char @ G @ A @ B ) @ H @ ( val_list_char @ C ) @ ( produc755559506on_val @ J @ K ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[119]) ).
thf(466,axiom,
! [A: ty,B: val,C: list_P1999446415t_char,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char,H: exp_list_char,I: nat > option1728594148on_val,J: list_char > option_val] :
( ( redp @ C @ D @ ( produc755559506on_val @ E @ ( fun_up1149430426on_val @ F @ G @ none_val ) ) @ H @ ( produc755559506on_val @ I @ J ) )
=> ( ( ( J @ G )
= ( some_val @ B ) )
=> ( ~ ( assigned @ G @ D )
=> ( redp @ C @ ( block_list_char @ G @ A @ D ) @ ( produc755559506on_val @ E @ F ) @ ( block_list_char @ G @ A @ ( seq_list_char @ ( lAss_list_char @ G @ ( val_list_char @ B ) ) @ H ) ) @ ( produc755559506on_val @ I @ ( fun_up1149430426on_val @ J @ G @ ( F @ G ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_648_redp__redsp_OBlockRedSome) ).
thf(2481,plain,
! [A: ty,B: val,C: list_P1999446415t_char,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char,H: exp_list_char,I: nat > option1728594148on_val,J: list_char > option_val] :
( ( redp @ C @ D @ ( produc755559506on_val @ E @ ( fun_up1149430426on_val @ F @ G @ none_val ) ) @ H @ ( produc755559506on_val @ I @ J ) )
=> ( ( ( J @ G )
= ( some_val @ B ) )
=> ( ~ ( assigned @ G @ D )
=> ( redp @ C @ ( block_list_char @ G @ A @ D ) @ ( produc755559506on_val @ E @ F ) @ ( block_list_char @ G @ A @ ( seq_list_char @ ( lAss_list_char @ G @ ( val_list_char @ B ) ) @ H ) ) @ ( produc755559506on_val @ I @ ( fun_up1149430426on_val @ J @ G @ ( F @ G ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[466]) ).
thf(593,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val,D: nat > option1728594148on_val,E: list_char > option_val,F: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ B @ C ) @ ( produc755559506on_val @ D @ E ) ) @ ( transi466770671on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: nat > option1728594148on_val,H: list_char > option_val,I: nat > option1728594148on_val,J: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ B @ C ) @ ( produc755559506on_val @ G @ H ) ) @ ( transi466770671on_val @ F ) )
=> ( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ G @ H ) @ ( produc755559506on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_787_rtrancl__induct2) ).
thf(2931,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val,D: nat > option1728594148on_val,E: list_char > option_val,F: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ B @ C ) @ ( produc755559506on_val @ D @ E ) ) @ ( transi466770671on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: nat > option1728594148on_val,H: list_char > option_val,I: nat > option1728594148on_val,J: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ B @ C ) @ ( produc755559506on_val @ G @ H ) ) @ ( transi466770671on_val @ F ) )
=> ( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ G @ H ) @ ( produc755559506on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[593]) ).
thf(57,axiom,
! [A: produc1645268488al_val,B: produc1645268488al_val,C: produc1645268488al_val,D: produc1645268488al_val] :
( ( ( produc1924279125al_val @ A @ B )
= ( produc1924279125al_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_67_Pair__inject) ).
thf(986,plain,
! [A: produc1645268488al_val,B: produc1645268488al_val,C: produc1645268488al_val,D: produc1645268488al_val] :
( ( ( produc1924279125al_val @ A @ B )
= ( produc1924279125al_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).
thf(414,axiom,
! [A: list_char > option_ty,B: option_ty,C: list_char,D: list_char] :
( ( C != D )
=> ( ( fun_up424764369ion_ty @ A @ D @ B @ C )
= ( A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_196_fun__upd__other) ).
thf(2288,plain,
! [A: list_char > option_ty,B: option_ty,C: list_char,D: list_char] :
( ( C != D )
=> ( ( fun_up424764369ion_ty @ A @ D @ B @ C )
= ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[414]) ).
thf(399,axiom,
! [A: list_P1999446415t_char,B: val,C: produc2090907612on_val] : ( eval @ A @ ( val_list_char @ B ) @ C @ ( val_list_char @ B ) @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_886_Val) ).
thf(2244,plain,
! [A: list_P1999446415t_char,B: val,C: produc2090907612on_val] : ( eval @ A @ ( val_list_char @ B ) @ C @ ( val_list_char @ B ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[399]) ).
thf(59,axiom,
! [A: nat > option1728594148on_val] :
( ( typeof_h @ A @ unit )
= ( some_ty @ void ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1012_typeof__h_Osimps_I1_J) ).
thf(1000,plain,
! [A: nat > option1728594148on_val] :
( ( typeof_h @ A @ unit )
= ( some_ty @ void ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).
thf(332,axiom,
! [A: produc1278157519t_char > $o] :
( ( transi1395422419t_char @ ( transi1395422419t_char @ A ) )
= ( transi1395422419t_char @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_719_rtrancl__idemp) ).
thf(2005,plain,
! [A: produc1278157519t_char > $o] :
( ( transi1395422419t_char @ ( transi1395422419t_char @ A ) )
= ( transi1395422419t_char @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[332]) ).
thf(70,axiom,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
=> ( ( typeof_h @ A @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) )
= ( some_ty @ ( class @ nullPointer ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1016_typeof__NullPointer) ).
thf(1034,plain,
! [A: nat > option1728594148on_val] :
( ( preallocated @ A )
=> ( ( typeof_h @ A @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) )
= ( some_ty @ ( class @ nullPointer ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).
thf(600,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1746408499on_val] :
( ! [C: produc1282892786on_val,D: produc1282892786on_val] :
( ( B
= ( produc833389609on_val @ C @ D ) )
=> ( A @ C @ D ) )
=> ( produc1624062875_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_552_splitI2) ).
thf(2952,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1746408499on_val] :
( ! [C: produc1282892786on_val,D: produc1282892786on_val] :
( ( B
= ( produc833389609on_val @ C @ D ) )
=> ( A @ C @ D ) )
=> ( produc1624062875_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[600]) ).
thf(495,axiom,
! [A: produc2048519645t_char > $o,B: produc2048519645t_char > $o] :
( ( ! [C: exp_list_char,D: exp_list_char] :
( ( member1199939018t_char @ ( produc943465171t_char @ C @ D ) @ B )
= ( member1199939018t_char @ ( produc943465171t_char @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_272_pred__equals__eq2) ).
thf(2614,plain,
! [A: produc2048519645t_char > $o,B: produc2048519645t_char > $o] :
( ( ! [C: exp_list_char,D: exp_list_char] :
( ( member1199939018t_char @ ( produc943465171t_char @ C @ D ) @ B )
= ( member1199939018t_char @ ( produc943465171t_char @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[495]) ).
thf(265,axiom,
! [A: list_char,B: ty,C: exp_list_char,D: exp_list_char,E: exp_list_char] :
( ( block_list_char @ A @ B @ C )
!= ( seq_list_char @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_570_exp_Osimps_I196_J) ).
thf(1758,plain,
! [A: list_char,B: ty,C: exp_list_char,D: exp_list_char,E: exp_list_char] :
( ( block_list_char @ A @ B @ C )
!= ( seq_list_char @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[265]) ).
thf(611,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_931_ThrowRedsThrow) ).
thf(2994,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[611]) ).
thf(170,axiom,
! [A: list_P1999446415t_char,B: list_char,C: produc2090907612on_val] : ( redp @ A @ ( cast_list_char @ B @ ( val_list_char @ null ) ) @ C @ ( val_list_char @ null ) @ C ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1037_redp__redsp_ORedCastNull) ).
thf(1420,plain,
! [A: list_P1999446415t_char,B: list_char,C: produc2090907612on_val] : ( redp @ A @ ( cast_list_char @ B @ ( val_list_char @ null ) ) @ C @ ( val_list_char @ null ) @ C ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[170]) ).
thf(340,axiom,
! [A: list_char > $o,B: list_char,C: list_char > $o] :
( ( member_list_char @ B @ C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( member_list_char @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_706_set__rev__mp) ).
thf(2037,plain,
! [A: list_char > $o,B: list_char,C: list_char > $o] :
( ( member_list_char @ B @ C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( member_list_char @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[340]) ).
thf(397,axiom,
! [A: list_exp_list_char > produc2090907612on_val > $o,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: list_exp_list_char,H: produc2090907612on_val,I: list_exp_list_char,J: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ G @ H ) @ ( produc1302104557on_val @ I @ J ) ) @ F )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ I @ J ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_757_converse__rtrancl__induct2) ).
thf(2234,plain,
! [A: list_exp_list_char > produc2090907612on_val > $o,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ F ) )
=> ( ( A @ D @ E )
=> ( ! [G: list_exp_list_char,H: produc2090907612on_val,I: list_exp_list_char,J: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ G @ H ) @ ( produc1302104557on_val @ I @ J ) ) @ F )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ I @ J ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ F ) )
=> ( ( A @ I @ J )
=> ( A @ G @ H ) ) ) )
=> ( A @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[397]) ).
thf(592,axiom,
! [A: val] :
( none_val
!= ( some_val @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_607_option_Osimps_I2_J) ).
thf(2927,plain,
! [A: val] :
( none_val
!= ( some_val @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[592]) ).
thf(747,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1087_WhileRedsThrow) ).
thf(3455,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[747]) ).
thf(421,axiom,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redp @ B @ ( seq_list_char @ C @ A ) @ D @ ( seq_list_char @ E @ A ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_625_redp__redsp_OSeqRed) ).
thf(2333,plain,
! [A: exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redp @ B @ ( seq_list_char @ C @ A ) @ D @ ( seq_list_char @ E @ A ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[421]) ).
thf(703,axiom,
! [A: list_char,B: ty,C: val,D: nat,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ C ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) ) ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) @ E ) ) @ ( red @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_907_red__reds_OInitBlockThrow) ).
thf(3292,plain,
! [A: list_char,B: ty,C: val,D: nat,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ A @ B @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ C ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) ) ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) @ E ) ) @ ( red @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[703]) ).
thf(16,axiom,
! [A: produc1250491293on_val] :
~ ! [B: produc618524391on_val,C: produc1180562163on_val,D: list_exp_list_char,E: produc2090907612on_val] :
( A
!= ( produc1347028499on_val @ B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_49_prod__cases4) ).
thf(823,plain,
! [A: produc1250491293on_val] :
~ ! [B: produc618524391on_val,C: produc1180562163on_val,D: list_exp_list_char,E: produc2090907612on_val] :
( A
!= ( produc1347028499on_val @ B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).
thf(205,axiom,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ D )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ C @ A ) @ ( transi1395422419t_char @ D ) )
=> ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_723_converse__rtrancl__into__rtrancl) ).
thf(1551,plain,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ D )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ C @ A ) @ ( transi1395422419t_char @ D ) )
=> ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[205]) ).
thf(733,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val] :
( ( ( produc833389609on_val @ A @ B )
= ( produc833389609on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_127_Pair__eq) ).
thf(3395,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val] :
( ( ( produc833389609on_val @ A @ B )
= ( produc833389609on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[733]) ).
thf(545,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_992_CastRedsThrow) ).
thf(2784,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[545]) ).
thf(575,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val] :
( ( ( produc833389609on_val @ A @ B )
= ( produc833389609on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_83_Pair__inject) ).
thf(2878,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val] :
( ( ( produc833389609on_val @ A @ B )
= ( produc833389609on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[575]) ).
thf(470,axiom,
! [A: $o,B: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,C: produc2090907612on_val] :
( ( produc252486962_val_o
@ ^ [D: nat > option1728594148on_val,E: list_char > option_val] :
( A
& ( B @ D @ E ) )
@ C )
= ( A
& ( produc252486962_val_o @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_437_split__part) ).
thf(2503,plain,
! [A: $o,B: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,C: produc2090907612on_val] :
( ( produc252486962_val_o
@ ^ [D: nat > option1728594148on_val,E: list_char > option_val] :
( A
& ( B @ D @ E ) )
@ C )
= ( A
& ( produc252486962_val_o @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[470]) ).
thf(95,axiom,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: produc91527719t_char > $o,F: produc1581780743on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ C @ D ) ) @ ( lex_pr855826389on_val @ E @ F ) )
= ( ( member894971540t_char @ ( produc1237966615t_char @ A @ C ) @ E )
| ( ( A = C )
& ( member565037556on_val @ ( produc259392253on_val @ B @ D ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_376_in__lex__prod) ).
thf(1134,plain,
! [A: list_exp_list_char,B: produc2090907612on_val,C: list_exp_list_char,D: produc2090907612on_val,E: produc91527719t_char > $o,F: produc1581780743on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ A @ B ) @ ( produc1302104557on_val @ C @ D ) ) @ ( lex_pr855826389on_val @ E @ F ) )
= ( ( member894971540t_char @ ( produc1237966615t_char @ A @ C ) @ E )
| ( ( A = C )
& ( member565037556on_val @ ( produc259392253on_val @ B @ D ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[95]) ).
thf(658,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1101_red__reds_OCondThrow) ).
thf(3146,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[658]) ).
thf(472,axiom,
! [A: list_char,B: ty,C: exp_list_char,D: list_char,E: ty,F: exp_list_char] :
( ( ( block_list_char @ A @ B @ C )
= ( block_list_char @ D @ E @ F ) )
= ( ( A = D )
& ( B = E )
& ( C = F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_575_exp_Osimps_I10_J) ).
thf(2513,plain,
! [A: list_char,B: ty,C: exp_list_char,D: list_char,E: ty,F: exp_list_char] :
( ( ( block_list_char @ A @ B @ C )
= ( block_list_char @ D @ E @ F ) )
= ( ( A = D )
& ( B = E )
& ( C = F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[472]) ).
thf(439,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( ( H @ ( produc5062597t_char @ B @ C ) )
= ( some_val @ D ) )
=> ( redp @ A @ ( fAcc_list_char @ ( val_list_char @ ( addr @ F ) ) @ B @ C ) @ E @ ( val_list_char @ D ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_905_redp__redsp_ORedFAcc) ).
thf(2397,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( ( H @ ( produc5062597t_char @ B @ C ) )
= ( some_val @ D ) )
=> ( redp @ A @ ( fAcc_list_char @ ( val_list_char @ ( addr @ F ) ) @ B @ C ) @ E @ ( val_list_char @ D ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[439]) ).
thf(645,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ C ) @ ( dom_list_char_val @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_593_red__lcl__incr) ).
thf(3112,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ C ) @ ( dom_list_char_val @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[645]) ).
thf(348,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o
@ ^ [C: list_char] : ( member_list_char @ C @ A )
@ ^ [C: list_char] : ( member_list_char @ C @ B ) )
= ( ord_le1777678169char_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_602_pred__subset__eq) ).
thf(2060,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o
@ ^ [C: list_char] : ( member_list_char @ C @ A )
@ ^ [C: list_char] : ( member_list_char @ C @ B ) )
= ( ord_le1777678169char_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[348]) ).
thf(218,axiom,
! [A: list_exp_list_char > produc2090907612on_val > $o,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: list_exp_list_char,H: produc2090907612on_val,I: list_exp_list_char,J: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ G @ H ) ) @ ( transi808828192on_val @ F ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ G @ H ) @ ( produc1302104557on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_773_rtrancl__induct2) ).
thf(1605,plain,
! [A: list_exp_list_char > produc2090907612on_val > $o,B: list_exp_list_char,C: produc2090907612on_val,D: list_exp_list_char,E: produc2090907612on_val,F: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ D @ E ) ) @ ( transi808828192on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: list_exp_list_char,H: produc2090907612on_val,I: list_exp_list_char,J: produc2090907612on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ B @ C ) @ ( produc1302104557on_val @ G @ H ) ) @ ( transi808828192on_val @ F ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ G @ H ) @ ( produc1302104557on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[218]) ).
thf(121,axiom,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: val,E: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( val_list_char @ D ) ) @ E @ ( val_list_char @ D ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_643_redp__redsp_ORedBlock) ).
thf(1252,plain,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: val,E: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( val_list_char @ D ) ) @ E @ ( val_list_char @ D ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[121]) ).
thf(272,axiom,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ C @ A ) @ ( transi1395422419t_char @ D ) )
=> ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_731_rtrancl__trans) ).
thf(1780,plain,
! [A: list_char,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ C @ A ) @ ( transi1395422419t_char @ D ) )
=> ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[272]) ).
thf(524,axiom,
! [A: produc618524391on_val > $o,B: produc618524391on_val > $o] :
( ( ! [C: produc1180562163on_val,D: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ C @ D ) @ B )
= ( member2042188884on_val @ ( produc747700183on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_296_pred__equals__eq2) ).
thf(2720,plain,
! [A: produc618524391on_val > $o,B: produc618524391on_val > $o] :
( ( ! [C: produc1180562163on_val,D: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ C @ D ) @ B )
= ( member2042188884on_val @ ( produc747700183on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[524]) ).
thf(276,axiom,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: nat,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ H @ I ) )
=> ( ( ( H @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( eval @ D @ ( cast_list_char @ A @ E ) @ F @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ H @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_994_Cast) ).
thf(1798,plain,
! [A: list_char,B: list_char,C: produc1278157519t_char > option_val,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: nat,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( eval @ D @ E @ F @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ H @ I ) )
=> ( ( ( H @ G )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ C ) ) )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ B @ A ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( eval @ D @ ( cast_list_char @ A @ E ) @ F @ ( val_list_char @ ( addr @ G ) ) @ ( produc755559506on_val @ H @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[276]) ).
thf(732,axiom,
! [A: val] :
( ( some_val @ A )
!= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_612_option_Osimps_I3_J) ).
thf(3391,plain,
! [A: val] :
( ( some_val @ A )
!= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[732]) ).
thf(60,axiom,
! [A: list_exp_list_char,B: list_ty,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: list_P1999446415t_char,J: nat > option1728594148on_val,K: list_char > option_ty,L: exp_list_char,M: list_char] :
( ( wTrt @ I @ J @ K @ L @ ( class @ M ) )
=> ( ( method1809630380t_char @ I @ M @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( wTrts @ I @ J @ K @ A @ B )
=> ( ( list_all2_ty_ty @ ( widen_2090681816t_char @ I ) @ B @ D )
=> ( wTrt @ I @ J @ K @ ( call_list_char @ L @ C @ A ) @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1192_WTrt_H__WTrts_H_Ointros_I12_J) ).
thf(1003,plain,
! [A: list_exp_list_char,B: list_ty,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: list_P1999446415t_char,J: nat > option1728594148on_val,K: list_char > option_ty,L: exp_list_char,M: list_char] :
( ( wTrt @ I @ J @ K @ L @ ( class @ M ) )
=> ( ( method1809630380t_char @ I @ M @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( wTrts @ I @ J @ K @ A @ B )
=> ( ( list_all2_ty_ty @ ( widen_2090681816t_char @ I ) @ B @ D )
=> ( wTrt @ I @ J @ K @ ( call_list_char @ L @ C @ A ) @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).
thf(269,axiom,
! [A: list_P1999446415t_char,B: list_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ~ ( transi1065307915t_char @ ( subcls744239332t_char @ A ) @ E @ B )
=> ( redp @ A @ ( cast_list_char @ B @ ( val_list_char @ ( addr @ D ) ) ) @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1056_redp__redsp_ORedCastFail) ).
thf(1770,plain,
! [A: list_P1999446415t_char,B: list_char,C: produc2090907612on_val,D: nat,E: list_char,F: produc1278157519t_char > option_val] :
( ( ( hp @ C @ D )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ~ ( transi1065307915t_char @ ( subcls744239332t_char @ A ) @ E @ B )
=> ( redp @ A @ ( cast_list_char @ B @ ( val_list_char @ ( addr @ D ) ) ) @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ classCast ) ) ) ) @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[269]) ).
thf(431,axiom,
! [A: produc2090907612on_val > $o] :
( ( produc252486962_val_o @ ( produc1402621651_val_o @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_434_split__curry) ).
thf(2375,plain,
! [A: produc2090907612on_val > $o] :
( ( produc252486962_val_o @ ( produc1402621651_val_o @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[431]) ).
thf(102,axiom,
! [A: list_char,B: exp_list_char] :
( ( fv @ ( cast_list_char @ A @ B ) )
= ( fv @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_984_fv__fvs_Osimps_I2_J) ).
thf(1156,plain,
! [A: list_char,B: exp_list_char] :
( ( fv @ ( cast_list_char @ A @ B ) )
= ( fv @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[102]) ).
thf(383,axiom,
! [A: val,B: $o] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ ( bool @ B ) ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1064_binop_Osimps_I9_J) ).
thf(2192,plain,
! [A: val,B: $o] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ ( bool @ B ) ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[383]) ).
thf(32,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ E )
=> ( wTrt @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1021_wt__wt_H) ).
thf(887,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ E )
=> ( wTrt @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).
thf(82,axiom,
! [A: list_char,B: ty,C: list_exp_list_char,D: list_ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt_1 @ E @ F @ G @ H @ nt )
=> ( ( wTrts_1 @ E @ F @ G @ C @ D )
=> ( wTrt_1 @ E @ F @ G @ ( call_list_char @ H @ A @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1173_WTrtCallNT) ).
thf(1098,plain,
! [A: list_char,B: ty,C: list_exp_list_char,D: list_ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt_1 @ E @ F @ G @ H @ nt )
=> ( ( wTrts_1 @ E @ F @ G @ C @ D )
=> ( wTrt_1 @ E @ F @ G @ ( call_list_char @ H @ A @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).
thf(576,axiom,
! [A: list_char,B: list_char > option_val] :
( ( member_list_char @ A @ ( dom_list_char_val @ B ) )
=> ? [C: val] :
( ( B @ A )
= ( some_val @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_560_domD) ).
thf(2888,plain,
! [A: list_char,B: list_char > option_val] :
( ( member_list_char @ A @ ( dom_list_char_val @ B ) )
=> ? [C: val] :
( ( B @ A )
= ( some_val @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[576]) ).
thf(486,axiom,
! [A: list_char,B: list_exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( call_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1136_CallObjThrow) ).
thf(2569,plain,
! [A: list_char,B: list_exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ C @ D @ E @ ( throw_list_char @ F ) @ G )
=> ( eval @ C @ ( call_list_char @ D @ A @ B ) @ E @ ( throw_list_char @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[486]) ).
thf(457,axiom,
! [A: list_char,B: list_char,C: val,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ null ) @ A @ B @ ( val_list_char @ C ) ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1050_red__reds_ORedFAssNull) ).
thf(2454,plain,
! [A: list_char,B: list_char,C: val,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( val_list_char @ null ) @ A @ B @ ( val_list_char @ C ) ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[457]) ).
thf(589,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( map_ad325961431ar_val @ A @ ( fun_up1149430426on_val @ B @ C @ ( some_val @ D ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ A @ B ) @ C @ ( some_val @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_517_map__add__upd) ).
thf(2920,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( map_ad325961431ar_val @ A @ ( fun_up1149430426on_val @ B @ C @ ( some_val @ D ) ) )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ A @ B ) @ C @ ( some_val @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[589]) ).
thf(714,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_990_CastReds) ).
thf(3344,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( cast_list_char @ A @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[714]) ).
thf(296,axiom,
! [A: val,B: nat] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ ( addr @ B ) ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1014_binop_Osimps_I10_J) ).
thf(1869,plain,
! [A: val,B: nat] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ ( addr @ B ) ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[296]) ).
thf(21,axiom,
! [A: produc220283002t_char,B: produc220283002t_char,C: produc220283002t_char,D: produc220283002t_char] :
( ( ( produc57279289t_char @ A @ B )
= ( produc57279289t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_107_Pair__eq) ).
thf(840,plain,
! [A: produc220283002t_char,B: produc220283002t_char,C: produc220283002t_char,D: produc220283002t_char] :
( ( ( produc57279289t_char @ A @ B )
= ( produc57279289t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).
thf(423,axiom,
! [A: ty,B: ty] :
( ( ( some_ty @ A )
= ( some_ty @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_354_option_Oinject) ).
thf(2337,plain,
! [A: ty,B: ty] :
( ( ( some_ty @ A )
= ( some_ty @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[423]) ).
thf(287,axiom,
! [A: list_list_char,B: produc220283002t_char,C: list_list_char,D: produc220283002t_char] :
( ( ( produc921874948t_char @ A @ B )
= ( produc921874948t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_92_Pair__inject) ).
thf(1830,plain,
! [A: list_list_char,B: produc220283002t_char,C: list_list_char,D: produc220283002t_char] :
( ( ( produc921874948t_char @ A @ B )
= ( produc921874948t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[287]) ).
thf(209,axiom,
! [A: list_char > option_ty,B: ty,C: list_char,D: list_char > option_ty] :
( ~ ( member_list_char @ C @ ( dom_list_char_ty @ D ) )
=> ( ( map_add_list_char_ty @ ( fun_up424764369ion_ty @ A @ C @ ( some_ty @ B ) ) @ D )
= ( fun_up424764369ion_ty @ ( map_add_list_char_ty @ A @ D ) @ C @ ( some_ty @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_461_map__add__upd__left) ).
thf(1579,plain,
! [A: list_char > option_ty,B: ty,C: list_char,D: list_char > option_ty] :
( ~ ( member_list_char @ C @ ( dom_list_char_ty @ D ) )
=> ( ( map_add_list_char_ty @ ( fun_up424764369ion_ty @ A @ C @ ( some_ty @ B ) ) @ D )
= ( fun_up424764369ion_ty @ ( map_add_list_char_ty @ A @ D ) @ C @ ( some_ty @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[209]) ).
thf(258,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_819_order__trans) ).
thf(1738,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[258]) ).
thf(462,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ C @ A ) @ D )
=> ( member2042188884on_val @ ( produc747700183on_val @ B @ A ) @ ( transi808828192on_val @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_726_rtrancl_Ortrancl__into__rtrancl) ).
thf(2468,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ C @ A ) @ D )
=> ( member2042188884on_val @ ( produc747700183on_val @ B @ A ) @ ( transi808828192on_val @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[462]) ).
thf(251,axiom,
! [A: exp_list_char,B: list_char,C: list_exp_list_char] :
( ( fv @ ( call_list_char @ A @ B @ C ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fvs @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1154_fv__fvs_Osimps_I9_J) ).
thf(1711,plain,
! [A: exp_list_char,B: list_char,C: list_exp_list_char] :
( ( fv @ ( call_list_char @ A @ B @ C ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fvs @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[251]) ).
thf(633,axiom,
! [A: list_char,B: val,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char > option_ty] :
( ( lconf_496643946t_char @ D @ E @ F @ G )
=> ( ( conf_P373316194t_char @ D @ E @ B @ C )
=> ( ( ( G @ A )
= ( some_ty @ C ) )
=> ( lconf_496643946t_char @ D @ E @ ( fun_up1149430426on_val @ F @ A @ ( some_val @ B ) ) @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_374_lconf__upd) ).
thf(3080,plain,
! [A: list_char,B: val,C: ty,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_char > option_ty] :
( ( lconf_496643946t_char @ D @ E @ F @ G )
=> ( ( conf_P373316194t_char @ D @ E @ B @ C )
=> ( ( ( G @ A )
= ( some_ty @ C ) )
=> ( lconf_496643946t_char @ D @ E @ ( fun_up1149430426on_val @ F @ A @ ( some_val @ B ) ) @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[633]) ).
thf(531,axiom,
! [A: produc1282892786on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( A @ ( produc235638504on_val @ B @ C ) )
=> ( produc1287763389_val_o @ A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_371_curryI) ).
thf(2747,plain,
! [A: produc1282892786on_val > $o,B: exp_list_char,C: produc2090907612on_val] :
( ( A @ ( produc235638504on_val @ B @ C ) )
=> ( produc1287763389_val_o @ A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[531]) ).
thf(175,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char] :
( ( B @ C )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_595_rev__predicate1D) ).
thf(1432,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char] :
( ( B @ C )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[175]) ).
thf(376,axiom,
! [A: val,B: list_P1999446415t_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val] :
( ( redsp @ B @ C @ D @ E @ F )
=> ( redsp @ B @ ( cons_exp_list_char @ ( val_list_char @ A ) @ C ) @ D @ ( cons_exp_list_char @ ( val_list_char @ A ) @ E ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1179_redp__redsp_OListRed2) ).
thf(2165,plain,
! [A: val,B: list_P1999446415t_char,C: list_exp_list_char,D: produc2090907612on_val,E: list_exp_list_char,F: produc2090907612on_val] :
( ( redsp @ B @ C @ D @ E @ F )
=> ( redsp @ B @ ( cons_exp_list_char @ ( val_list_char @ A ) @ C ) @ D @ ( cons_exp_list_char @ ( val_list_char @ A ) @ E ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[376]) ).
thf(281,axiom,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ( member2042188884on_val @ A @ B )
=> ( member2042188884on_val @ A @ ( transi808828192on_val @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_665_r__into__rtrancl) ).
thf(1813,plain,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ( member2042188884on_val @ A @ B )
=> ( member2042188884on_val @ A @ ( transi808828192on_val @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[281]) ).
thf(135,axiom,
! [A: list_ty,B: produc662261637t_char,C: list_ty,D: produc662261637t_char] :
( ( ( produc1909267824t_char @ A @ B )
= ( produc1909267824t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_137_Pair__eq) ).
thf(1300,plain,
! [A: list_ty,B: produc662261637t_char,C: list_ty,D: produc662261637t_char] :
( ( ( produc1909267824t_char @ A @ B )
= ( produc1909267824t_char @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[135]) ).
thf(180,axiom,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ null @ A ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1041_binop_Osimps_I4_J) ).
thf(1452,plain,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ null @ A ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[180]) ).
thf(227,axiom,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: val,E: nat,F: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( seq_list_char @ ( lAss_list_char @ B @ ( val_list_char @ D ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ E ) ) ) ) ) @ F @ ( throw_list_char @ ( val_list_char @ ( addr @ E ) ) ) @ F ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_943_redp__redsp_OInitBlockThrow) ).
thf(1637,plain,
! [A: list_P1999446415t_char,B: list_char,C: ty,D: val,E: nat,F: produc2090907612on_val] : ( redp @ A @ ( block_list_char @ B @ C @ ( seq_list_char @ ( lAss_list_char @ B @ ( val_list_char @ D ) ) @ ( throw_list_char @ ( val_list_char @ ( addr @ E ) ) ) ) ) @ F @ ( throw_list_char @ ( val_list_char @ ( addr @ E ) ) ) @ F ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[227]) ).
thf(515,axiom,
! [A: nat > option1728594148on_val,B: nat] :
( ( ( new_Addr @ A )
= ( some_nat @ B ) )
=> ( ( A @ B )
= none_P1260844216on_val ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1127_new__Addr__SomeD) ).
thf(2688,plain,
! [A: nat > option1728594148on_val,B: nat] :
( ( ( new_Addr @ A )
= ( some_nat @ B ) )
=> ( ( A @ B )
= none_P1260844216on_val ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[515]) ).
thf(696,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $false ) ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1078_WhileFReds) ).
thf(3273,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $false ) ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( val_list_char @ unit ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[696]) ).
thf(712,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val,D: produc1278157519t_char,E: val] :
( ( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) @ D )
= ( some_val @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_10_map__upd__Some__unfold) ).
thf(3334,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val,D: produc1278157519t_char,E: val] :
( ( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) @ D )
= ( some_val @ E ) )
= ( ( ( D = B )
& ( C = E ) )
| ( ( D != B )
& ( ( A @ D )
= ( some_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[712]) ).
thf(756,axiom,
! [A: produc652964533on_val] :
~ ! [B: produc1746408499on_val,C: produc1282892786on_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] :
( A
!= ( produc345758123on_val @ B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_26_prod__cases5) ).
thf(3475,plain,
! [A: produc652964533on_val] :
~ ! [B: produc1746408499on_val,C: produc1282892786on_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] :
( A
!= ( produc345758123on_val @ B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[756]) ).
thf(450,axiom,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_713_set__mp) ).
thf(2429,plain,
! [A: list_char,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( member_list_char @ A @ B )
=> ( member_list_char @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[450]) ).
thf(124,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( B = C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_824_ord__eq__le__trans) ).
thf(1262,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( B = C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[124]) ).
thf(116,axiom,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ! [C: produc1180562163on_val,D: list_exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] : ( B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_32_prod__induct4) ).
thf(1235,plain,
! [A: produc618524391on_val,B: produc618524391on_val > $o] :
( ! [C: produc1180562163on_val,D: list_exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] : ( B @ ( produc747700183on_val @ C @ ( produc1302104557on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[116]) ).
thf(201,axiom,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val,D: nat > option1728594148on_val,E: produc2088785539on_val] :
( ( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) )
= ( fun_up1472480727on_val @ D @ B @ ( some_P451527732on_val @ E ) ) )
=> ( C = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_17_map__upd__eqD1) ).
thf(1538,plain,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val,D: nat > option1728594148on_val,E: produc2088785539on_val] :
( ( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) )
= ( fun_up1472480727on_val @ D @ B @ ( some_P451527732on_val @ E ) ) )
=> ( C = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[201]) ).
thf(517,axiom,
! [A: list_char,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( fAcc_list_char @ D @ A @ B ) @ E @ ( fAcc_list_char @ F @ A @ B ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_914_redp__redsp_OFAccRed) ).
thf(2701,plain,
! [A: list_char,B: list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( fAcc_list_char @ D @ A @ B ) @ E @ ( fAcc_list_char @ F @ A @ B ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[517]) ).
thf(11,axiom,
! [A: list_char > $o,B: list_char] :
( ( member_list_char @ B @ sys_xcpts )
=> ( ( A @ nullPointer )
=> ( ( A @ outOfMemory )
=> ( ( A @ classCast )
=> ( A @ B ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1063_sys__xcpts__cases) ).
thf(808,plain,
! [A: list_char > $o,B: list_char] :
( ( member_list_char @ B @ sys_xcpts )
=> ( ( A @ nullPointer )
=> ( ( A @ outOfMemory )
=> ( ( A @ classCast )
=> ( A @ B ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).
thf(291,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: nat,E: produc2090907612on_val] :
( ( eval @ A @ B @ C @ ( val_list_char @ ( addr @ D ) ) @ E )
=> ( eval @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_926_Throw) ).
thf(1849,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: nat,E: produc2090907612on_val] :
( ( eval @ A @ B @ C @ ( val_list_char @ ( addr @ D ) ) @ E )
=> ( eval @ A @ ( throw_list_char @ B ) @ C @ ( throw_list_char @ ( val_list_char @ ( addr @ D ) ) ) @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[291]) ).
thf(761,axiom,
! [A: exp_list_char,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( throw_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ E ) ) @ ( red @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_934_red__reds_OFAssThrow1) ).
thf(3493,plain,
! [A: exp_list_char,B: list_char,C: list_char,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ ( throw_list_char @ A ) @ B @ C @ D ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ E ) ) @ ( red @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[761]) ).
thf(130,axiom,
! [A: list_char,B: list_char,C: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ B ) @ ( transi1395422419t_char @ C ) )
=> ( ( A != B )
=> ~ ! [D: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ D ) @ C )
=> ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ B ) @ ( transi1395422419t_char @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_839_converse__rtranclE) ).
thf(1284,plain,
! [A: list_char,B: list_char,C: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ B ) @ ( transi1395422419t_char @ C ) )
=> ( ( A != B )
=> ~ ! [D: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ A @ D ) @ C )
=> ~ ( member1251428284t_char @ ( produc5062597t_char @ D @ B ) @ ( transi1395422419t_char @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[130]) ).
thf(152,axiom,
! [A: produc2088785539on_val] :
~ ! [B: list_char,C: produc1278157519t_char > option_val] :
( A
!= ( produc926070009on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_327_PairE) ).
thf(1353,plain,
! [A: produc2088785539on_val] :
~ ! [B: list_char,C: produc1278157519t_char > option_val] :
( A
!= ( produc926070009on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[152]) ).
thf(262,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
= ( ( ord_le1777678169char_o @ A @ B )
& ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_827_order__eq__iff) ).
thf(1749,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
= ( ( ord_le1777678169char_o @ A @ B )
& ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[262]) ).
thf(239,axiom,
! [A: list_char > option_ty,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: ty,G: nat > option1728594148on_val,H: val,I: ty] :
( ( ( typeof_h @ G @ H )
= ( some_ty @ I ) )
=> ( ( widen_2090681816t_char @ E @ I @ F )
=> ( ( wTrt @ E @ G @ ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ F ) ) @ C @ D )
=> ( wTrt @ E @ G @ A @ ( block_list_char @ B @ F @ ( seq_list_char @ ( lAss_list_char @ B @ ( val_list_char @ H ) ) @ C ) ) @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1018_WTrt_H__WTrts_H_Ointros_I16_J) ).
thf(1670,plain,
! [A: list_char > option_ty,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: ty,G: nat > option1728594148on_val,H: val,I: ty] :
( ( ( typeof_h @ G @ H )
= ( some_ty @ I ) )
=> ( ( widen_2090681816t_char @ E @ I @ F )
=> ( ( wTrt @ E @ G @ ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ F ) ) @ C @ D )
=> ( wTrt @ E @ G @ A @ ( block_list_char @ B @ F @ ( seq_list_char @ ( lAss_list_char @ B @ ( val_list_char @ H ) ) @ C ) ) @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[239]) ).
thf(569,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: produc2090907612on_val] :
( ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( B
= ( produc755559506on_val @ C @ D ) )
=> ( A @ C @ D ) )
=> ( produc252486962_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_550_splitI2) ).
thf(2860,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: produc2090907612on_val] :
( ! [C: nat > option1728594148on_val,D: list_char > option_val] :
( ( B
= ( produc755559506on_val @ C @ D ) )
=> ( A @ C @ D ) )
=> ( produc252486962_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[569]) ).
thf(253,axiom,
! [A: val,B: list_char,C: ty,D: exp_list_char] :
( ( val_list_char @ A )
!= ( block_list_char @ B @ C @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_580_exp_Osimps_I82_J) ).
thf(1717,plain,
! [A: val,B: list_char,C: ty,D: exp_list_char] :
( ( val_list_char @ A )
!= ( block_list_char @ B @ C @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[253]) ).
thf(595,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ ( throw_list_char @ B ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( red @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_932_red__reds_OLAssThrow) ).
thf(2939,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ ( throw_list_char @ B ) ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ B ) @ C ) ) @ ( red @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[595]) ).
thf(158,axiom,
! [A: list_char,B: exp_list_char,C: list_char,D: ty,E: exp_list_char] :
( ( lAss_list_char @ A @ B )
!= ( block_list_char @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_571_exp_Osimps_I142_J) ).
thf(1372,plain,
! [A: list_char,B: exp_list_char,C: list_char,D: ty,E: exp_list_char] :
( ( lAss_list_char @ A @ B )
!= ( block_list_char @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[158]) ).
thf(734,axiom,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( lAss_list_char @ A @ D ) @ E ) ) @ ( red @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_480_red__reds_OLAssRed) ).
thf(3398,plain,
! [A: list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( lAss_list_char @ A @ B ) @ C ) @ ( produc235638504on_val @ ( lAss_list_char @ A @ D ) @ E ) ) @ ( red @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[734]) ).
thf(200,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: produc2090907612on_val] : ( redp @ A @ ( fAss_list_char @ ( val_list_char @ null ) @ B @ C @ ( val_list_char @ D ) ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1046_redp__redsp_ORedFAssNull) ).
thf(1536,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: produc2090907612on_val] : ( redp @ A @ ( fAss_list_char @ ( val_list_char @ null ) @ B @ C @ ( val_list_char @ D ) ) @ E @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[200]) ).
thf(328,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( ( produc1208913941on_val @ A @ B )
= ( produc1208913941on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_81_Pair__inject) ).
thf(1981,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val,C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( ( produc1208913941on_val @ A @ B )
= ( produc1208913941on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[328]) ).
thf(479,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ B ) @ ( transi808828192on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ D ) @ ( transi808828192on_val @ C ) )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ D @ B ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_834_rtranclE) ).
thf(2543,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ B ) @ ( transi808828192on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ D ) @ ( transi808828192on_val @ C ) )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ D @ B ) @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[479]) ).
thf(718,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_930_ThrowReds) ).
thf(3356,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[718]) ).
thf(489,axiom,
! [A: list_char,B: exp_list_char,C: list_P1999446415t_char,D: list_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( transi1065307915t_char @ ( subcls744239332t_char @ C ) @ G @ D )
=> ( redp @ C @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ D @ A @ B ) @ E @ ( block_list_char @ A @ ( class @ D ) @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ ( addr @ F ) ) ) @ B ) ) @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1053_redp__redsp_ORedTryCatch) ).
thf(2579,plain,
! [A: list_char,B: exp_list_char,C: list_P1999446415t_char,D: list_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( transi1065307915t_char @ ( subcls744239332t_char @ C ) @ G @ D )
=> ( redp @ C @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ D @ A @ B ) @ E @ ( block_list_char @ A @ ( class @ D ) @ ( seq_list_char @ ( lAss_list_char @ A @ ( val_list_char @ ( addr @ F ) ) ) @ B ) ) @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[489]) ).
thf(27,axiom,
! [A: produc1285161482t_char,B: produc1285161482t_char,C: produc1285161482t_char,D: produc1285161482t_char] :
( ( ( produc24551831t_char @ A @ B )
= ( produc24551831t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_64_Pair__inject) ).
thf(864,plain,
! [A: produc1285161482t_char,B: produc1285161482t_char,C: produc1285161482t_char,D: produc1285161482t_char] :
( ( ( produc24551831t_char @ A @ B )
= ( produc24551831t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).
thf(211,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( A = B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_820_order__antisym) ).
thf(1585,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
=> ( A = B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[211]) ).
thf(55,axiom,
! [A: produc809539159t_char] :
~ ! [B: list_list_char,C: exp_list_char] :
( A
!= ( produc1147572817t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_315_PairE) ).
thf(978,plain,
! [A: produc809539159t_char] :
~ ! [B: list_list_char,C: exp_list_char] :
( A
!= ( produc1147572817t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).
thf(97,axiom,
! [A: list_char > option_val,B: list_char,C: list_char > option_val] :
( ~ ( member_list_char @ B @ ( dom_list_char_val @ C ) )
=> ( ( map_ad325961431ar_val @ A @ C @ B )
= ( A @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_429_map__add__dom__app__simps_I3_J) ).
thf(1140,plain,
! [A: list_char > option_val,B: list_char,C: list_char > option_val] :
( ~ ( member_list_char @ B @ ( dom_list_char_val @ C ) )
=> ( ( map_ad325961431ar_val @ A @ C @ B )
= ( A @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[97]) ).
thf(770,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( ( map_ad325961431ar_val @ A @ B @ C )
= ( some_val @ D ) )
=> ( ( ( B @ C )
= ( some_val @ D ) )
| ( ( ( B @ C )
= none_val )
& ( ( A @ C )
= ( some_val @ D ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_644_map__add__SomeD) ).
thf(3520,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char,D: val] :
( ( ( map_ad325961431ar_val @ A @ B @ C )
= ( some_val @ D ) )
=> ( ( ( B @ C )
= ( some_val @ D ) )
| ( ( ( B @ C )
= none_val )
& ( ( A @ C )
= ( some_val @ D ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[770]) ).
thf(722,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ A @ ( semila1505903696_val_o @ B @ C ) )
=> ( ~ ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_865_UnE) ).
thf(3366,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ A @ ( semila1505903696_val_o @ B @ C ) )
=> ( ~ ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[722]) ).
thf(735,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1746408499on_val] :
( ( produc1624062875_val_o @ A @ B )
=> ~ ! [C: produc1282892786on_val,D: produc1282892786on_val] :
( ( B
= ( produc833389609on_val @ C @ D ) )
=> ~ ( A @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_536_splitE) ).
thf(3400,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1746408499on_val] :
( ( produc1624062875_val_o @ A @ B )
=> ~ ! [C: produc1282892786on_val,D: produc1282892786on_val] :
( ( B
= ( produc833389609on_val @ C @ D ) )
=> ~ ( A @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[735]) ).
thf(745,axiom,
! [A: $o > $o,B: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,C: produc2090907612on_val] :
( ( A @ ( produc252486962_val_o @ B @ C ) )
=> ~ ! [D: nat > option1728594148on_val,E: list_char > option_val] :
( ( C
= ( produc755559506on_val @ D @ E ) )
=> ~ ( A @ ( B @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_562_splitE2) ).
thf(3433,plain,
! [A: $o > $o,B: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,C: produc2090907612on_val] :
( ( A @ ( produc252486962_val_o @ B @ C ) )
=> ~ ! [D: nat > option1728594148on_val,E: list_char > option_val] :
( ( C
= ( produc755559506on_val @ D @ E ) )
=> ~ ( A @ ( B @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[745]) ).
thf(655,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_939_SeqRedsThrow) ).
thf(3139,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[655]) ).
thf(746,axiom,
! [A: produc1746408499on_val > $o] :
( ( ? [B: produc1746408499on_val] : ( A @ B ) )
= ( ? [B: produc1282892786on_val,C: produc1282892786on_val] : ( A @ ( produc833389609on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_346_split__paired__Ex) ).
thf(3452,plain,
! [A: produc1746408499on_val > $o] :
( ( ? [B: produc1746408499on_val] : ( A @ B ) )
= ( ? [B: produc1282892786on_val,C: produc1282892786on_val] : ( A @ ( produc833389609on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[746]) ).
thf(359,axiom,
! [A: list_char > option_ty,B: option_ty,C: list_char,D: list_char] :
( ( ( D = C )
=> ( ( fun_up424764369ion_ty @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up424764369ion_ty @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_188_fun__upd__def) ).
thf(2088,plain,
! [A: list_char > option_ty,B: option_ty,C: list_char,D: list_char] :
( ( ( D = C )
=> ( ( fun_up424764369ion_ty @ A @ C @ B @ D )
= B ) )
& ( ( D != C )
=> ( ( fun_up424764369ion_ty @ A @ C @ B @ D )
= ( A @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[359]) ).
thf(638,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1103_CondRedsThrow) ).
thf(3092,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cond_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ E ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[638]) ).
thf(244,axiom,
! [A: nat > option1728594148on_val,B: produc1278157519t_char > option_val,C: list_char,D: list_char,E: list_char,F: produc1278157519t_char > option_val,G: exp_list_char,H: val,I: nat > option1728594148on_val,J: list_char > option_val,K: list_P1999446415t_char,L: exp_list_char,M: produc2090907612on_val,N: nat,O: produc2090907612on_val] :
( ( eval @ K @ L @ M @ ( val_list_char @ ( addr @ N ) ) @ O )
=> ( ( eval @ K @ G @ O @ ( val_list_char @ H ) @ ( produc755559506on_val @ I @ J ) )
=> ( ( ( I @ N )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ( B
= ( fun_up204312361on_val @ F @ ( produc5062597t_char @ C @ D ) @ ( some_val @ H ) ) )
=> ( ( A
= ( fun_up1472480727on_val @ I @ N @ ( some_P451527732on_val @ ( produc926070009on_val @ E @ B ) ) ) )
=> ( eval @ K @ ( fAss_list_char @ L @ C @ D @ G ) @ M @ ( val_list_char @ unit ) @ ( produc755559506on_val @ A @ J ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_900_FAss) ).
thf(1685,plain,
! [A: nat > option1728594148on_val,B: produc1278157519t_char > option_val,C: list_char,D: list_char,E: list_char,F: produc1278157519t_char > option_val,G: exp_list_char,H: val,I: nat > option1728594148on_val,J: list_char > option_val,K: list_P1999446415t_char,L: exp_list_char,M: produc2090907612on_val,N: nat,O: produc2090907612on_val] :
( ( eval @ K @ L @ M @ ( val_list_char @ ( addr @ N ) ) @ O )
=> ( ( eval @ K @ G @ O @ ( val_list_char @ H ) @ ( produc755559506on_val @ I @ J ) )
=> ( ( ( I @ N )
= ( some_P451527732on_val @ ( produc926070009on_val @ E @ F ) ) )
=> ( ( B
= ( fun_up204312361on_val @ F @ ( produc5062597t_char @ C @ D ) @ ( some_val @ H ) ) )
=> ( ( A
= ( fun_up1472480727on_val @ I @ N @ ( some_P451527732on_val @ ( produc926070009on_val @ E @ B ) ) ) )
=> ( eval @ K @ ( fAss_list_char @ L @ C @ D @ G ) @ M @ ( val_list_char @ unit ) @ ( produc755559506on_val @ A @ J ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[244]) ).
thf(206,axiom,
! [A: produc1180562163on_val > $o,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( A @ C )
=> ( ! [E: produc1180562163on_val,F: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ E @ F ) @ D )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ F @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( A @ F )
=> ( A @ E ) ) ) )
=> ( A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_842_converse__rtrancl__induct) ).
thf(1553,plain,
! [A: produc1180562163on_val > $o,B: produc1180562163on_val,C: produc1180562163on_val,D: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ B @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( A @ C )
=> ( ! [E: produc1180562163on_val,F: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ E @ F ) @ D )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ F @ C ) @ ( transi808828192on_val @ D ) )
=> ( ( A @ F )
=> ( A @ E ) ) ) )
=> ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[206]) ).
thf(142,axiom,
! [A: produc1278157519t_char > option_val,B: nat > option1728594148on_val,C: val,D: list_P1999446415t_char,E: list_char,F: list_char,G: ty,H: list_char] :
( ( has_fi1183600461t_char @ D @ E @ F @ G @ H )
=> ( ( conf_P373316194t_char @ D @ B @ C @ G )
=> ( ( oconf_1869808039t_char @ D @ B @ ( produc926070009on_val @ E @ A ) )
=> ( oconf_1869808039t_char @ D @ B @ ( produc926070009on_val @ E @ ( fun_up204312361on_val @ A @ ( produc5062597t_char @ F @ H ) @ ( some_val @ C ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_664_oconf__fupd) ).
thf(1321,plain,
! [A: produc1278157519t_char > option_val,B: nat > option1728594148on_val,C: val,D: list_P1999446415t_char,E: list_char,F: list_char,G: ty,H: list_char] :
( ( has_fi1183600461t_char @ D @ E @ F @ G @ H )
=> ( ( conf_P373316194t_char @ D @ B @ C @ G )
=> ( ( oconf_1869808039t_char @ D @ B @ ( produc926070009on_val @ E @ A ) )
=> ( oconf_1869808039t_char @ D @ B @ ( produc926070009on_val @ E @ ( fun_up204312361on_val @ A @ ( produc5062597t_char @ F @ H ) @ ( some_val @ C ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[142]) ).
thf(35,axiom,
! [A: list_char,B: list_char] :
( ( ( class @ A )
= ( class @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1060_ty_Oinject) ).
thf(903,plain,
! [A: list_char,B: list_char] :
( ( ( class @ A )
= ( class @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).
thf(778,axiom,
! [A: list_exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ B @ A ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ D @ A ) @ E ) ) @ ( transi808828192on_val @ ( reds @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1165_ListReds1) ).
thf(3548,plain,
! [A: list_exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ ( cons_exp_list_char @ B @ A ) @ C ) @ ( produc1302104557on_val @ ( cons_exp_list_char @ D @ A ) @ E ) ) @ ( transi808828192on_val @ ( reds @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[778]) ).
thf(167,axiom,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: list_ty,D: list_val,E: exp_list_char] :
( A
!= ( produc921874948t_char @ B @ ( produc1909267824t_char @ C @ ( produc1916172923t_char @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_45_prod__cases4) ).
thf(1412,plain,
! [A: produc1285161482t_char] :
~ ! [B: list_list_char,C: list_ty,D: list_val,E: exp_list_char] :
( A
!= ( produc921874948t_char @ B @ ( produc1909267824t_char @ C @ ( produc1916172923t_char @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[167]) ).
thf(196,axiom,
! [A: ( nat > option1728594148on_val ) > list_char > $o,B: list_char,C: nat > option1728594148on_val] :
( ( preallocated @ C )
=> ( ( member_list_char @ B @ sys_xcpts )
=> ( ! [D: produc1278157519t_char > option_val] :
( ( ( C @ ( addr_of_sys_xcpt @ B ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ D ) ) )
=> ( A @ C @ B ) )
=> ( A @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1074_preallocatedE) ).
thf(1517,plain,
! [A: ( nat > option1728594148on_val ) > list_char > $o,B: list_char,C: nat > option1728594148on_val] :
( ( preallocated @ C )
=> ( ( member_list_char @ B @ sys_xcpts )
=> ( ! [D: produc1278157519t_char > option_val] :
( ( ( C @ ( addr_of_sys_xcpt @ B ) )
= ( some_P451527732on_val @ ( produc926070009on_val @ B @ D ) ) )
=> ( A @ C @ B ) )
=> ( A @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[196]) ).
thf(494,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( semila2134664963char_o @ A @ B )
= ( semila2134664963char_o @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_883_Un__commute) ).
thf(2611,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( semila2134664963char_o @ A @ B )
= ( semila2134664963char_o @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[494]) ).
thf(570,axiom,
! [A: produc652964533on_val,B: produc652964533on_val > $o] :
( ! [C: produc1746408499on_val,D: produc1282892786on_val,E: produc1282892786on_val] : ( B @ ( produc345758123on_val @ C @ ( produc833389609on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_256_prod__induct3) ).
thf(2865,plain,
! [A: produc652964533on_val,B: produc652964533on_val > $o] :
( ! [C: produc1746408499on_val,D: produc1282892786on_val,E: produc1282892786on_val] : ( B @ ( produc345758123on_val @ C @ ( produc833389609on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[570]) ).
thf(664,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ B @ C )
=> ( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_675_subsetD) ).
thf(3168,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ B @ C )
=> ( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[664]) ).
thf(317,axiom,
! [A: produc2088785539on_val,B: produc2088785539on_val] :
( ( ( some_P451527732on_val @ A )
= ( some_P451527732on_val @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_353_option_Oinject) ).
thf(1940,plain,
! [A: produc2088785539on_val,B: produc2088785539on_val] :
( ( ( some_P451527732on_val @ A )
= ( some_P451527732on_val @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[317]) ).
thf(700,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ ( transi2118771717on_val @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_667_r__into__rtrancl) ).
thf(3284,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ ( transi2118771717on_val @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[700]) ).
thf(23,axiom,
nt != void,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1112_ty_Osimps_I7_J) ).
thf(845,plain,
nt != void,
inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).
thf(499,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ ( throw_list_char @ B ) @ C @ D @ E )
=> ( ! [F: nat] :
( ( D
= ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) )
=> ~ ( eval @ A @ B @ C @ ( val_list_char @ ( addr @ F ) ) @ E ) )
=> ( ( ( D
= ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) )
=> ~ ( eval @ A @ B @ C @ ( val_list_char @ null ) @ E ) )
=> ~ ! [F: exp_list_char] :
( ( D
= ( throw_list_char @ F ) )
=> ~ ( eval @ A @ B @ C @ ( throw_list_char @ F ) @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1052_eval__cases_I12_J) ).
thf(2626,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( eval @ A @ ( throw_list_char @ B ) @ C @ D @ E )
=> ( ! [F: nat] :
( ( D
= ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) )
=> ~ ( eval @ A @ B @ C @ ( val_list_char @ ( addr @ F ) ) @ E ) )
=> ( ( ( D
= ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) )
=> ~ ( eval @ A @ B @ C @ ( val_list_char @ null ) @ E ) )
=> ~ ! [F: exp_list_char] :
( ( D
= ( throw_list_char @ F ) )
=> ~ ( eval @ A @ B @ C @ ( throw_list_char @ F ) @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[499]) ).
thf(748,axiom,
! [A: list_char > option_val,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( map_ad325961431ar_val @ A @ D ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ ( map_ad325961431ar_val @ A @ G ) ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_654_Red__lcl__add) ).
thf(3457,plain,
! [A: list_char > option_val,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ G ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( map_ad325961431ar_val @ A @ D ) ) ) @ ( produc235638504on_val @ E @ ( produc755559506on_val @ F @ ( map_ad325961431ar_val @ A @ G ) ) ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[748]) ).
thf(428,axiom,
! [A: list_char > $o,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( A @ C )
=> ( ! [E: list_char,F: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ E @ F ) @ D )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ F @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( A @ F )
=> ( A @ E ) ) ) )
=> ( A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_843_converse__rtrancl__induct) ).
thf(2352,plain,
! [A: list_char > $o,B: list_char,C: list_char,D: produc1278157519t_char > $o] :
( ( member1251428284t_char @ ( produc5062597t_char @ B @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( A @ C )
=> ( ! [E: list_char,F: list_char] :
( ( member1251428284t_char @ ( produc5062597t_char @ E @ F ) @ D )
=> ( ( member1251428284t_char @ ( produc5062597t_char @ F @ C ) @ ( transi1395422419t_char @ D ) )
=> ( ( A @ F )
=> ( A @ E ) ) ) )
=> ( A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[428]) ).
thf(628,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ord_le1777678169char_o @ ( fv @ D ) @ ( fv @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_833_Red__fv) ).
thf(3067,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( ord_le1777678169char_o @ ( fv @ D ) @ ( fv @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[628]) ).
thf(107,axiom,
! [A: list_char,B: exp_list_char,C: list_char,D: list_P1999446415t_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ G @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ C @ A @ B ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ E ) ) @ ( red @ D ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_975_red__reds_ORedTryFail) ).
thf(1180,plain,
! [A: list_char,B: exp_list_char,C: list_char,D: list_P1999446415t_char,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ~ ( member1251428284t_char @ ( produc5062597t_char @ G @ C ) @ ( transi1395422419t_char @ ( subcls851966956t_char @ D ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ C @ A @ B ) @ E ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) @ E ) ) @ ( red @ D ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[107]) ).
thf(572,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( A @ B @ C )
=> ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_405_prod__caseI) ).
thf(2870,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( A @ B @ C )
=> ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[572]) ).
thf(557,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( red @ E ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( red @ E ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_925_red__reds_OThrowRed) ).
thf(2828,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ B ) @ ( produc235638504on_val @ C @ D ) ) @ ( red @ E ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( throw_list_char @ A ) @ B ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( red @ E ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[557]) ).
thf(530,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val] :
~ ! [D: produc1278157519t_char] :
( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) @ D )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_639_map__upd__nonempty) ).
thf(2743,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val] :
~ ! [D: produc1278157519t_char] :
( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) @ D )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[530]) ).
thf(715,axiom,
! [A: option_val] :
( ( ! [B: val] :
( A
!= ( some_val @ B ) ) )
= ( A = none_val ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_617_not__Some__eq) ).
thf(3346,plain,
! [A: option_val] :
( ( ! [B: val] :
( A
!= ( some_val @ B ) ) )
= ( A = none_val ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[715]) ).
thf(708,axiom,
! [A: produc2090907612on_val] :
~ ! [B: nat > option1728594148on_val,C: list_char > option_val] :
( A
!= ( produc755559506on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_328_PairE) ).
thf(3320,plain,
! [A: produc2090907612on_val] :
~ ! [B: nat > option1728594148on_val,C: list_char > option_val] :
( A
!= ( produc755559506on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[708]) ).
thf(208,axiom,
! [A: nat,B: $o] :
( ( addr @ A )
!= ( bool @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1065_val_Osimps_I21_J) ).
thf(1575,plain,
! [A: nat,B: $o] :
( ( addr @ A )
!= ( bool @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[208]) ).
thf(295,axiom,
! [A: produc1746408499on_val > $o] :
( ( transi2118771717on_val @ ( transi2118771717on_val @ A ) )
= ( transi2118771717on_val @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_720_rtrancl__idemp) ).
thf(1866,plain,
! [A: produc1746408499on_val > $o] :
( ( transi2118771717on_val @ ( transi2118771717on_val @ A ) )
= ( transi2118771717on_val @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[295]) ).
thf(543,axiom,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val,E: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A @ B ) @ ( produc755559506on_val @ C @ D ) ) @ ( transi466770671on_val @ E ) )
=> ( ( ( produc755559506on_val @ A @ B )
!= ( produc755559506on_val @ C @ D ) )
=> ~ ! [F: nat > option1728594148on_val,G: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A @ B ) @ ( produc755559506on_val @ F @ G ) ) @ E )
=> ~ ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ F @ G ) @ ( produc755559506on_val @ C @ D ) ) @ ( transi466770671on_val @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_755_converse__rtranclE2) ).
thf(2775,plain,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val,E: produc1581780743on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A @ B ) @ ( produc755559506on_val @ C @ D ) ) @ ( transi466770671on_val @ E ) )
=> ( ( ( produc755559506on_val @ A @ B )
!= ( produc755559506on_val @ C @ D ) )
=> ~ ! [F: nat > option1728594148on_val,G: list_char > option_val] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A @ B ) @ ( produc755559506on_val @ F @ G ) ) @ E )
=> ~ ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ F @ G ) @ ( produc755559506on_val @ C @ D ) ) @ ( transi466770671on_val @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[543]) ).
thf(257,axiom,
! [A: produc1180562163on_val] :
~ ! [B: list_exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc1302104557on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_322_PairE) ).
thf(1734,plain,
! [A: produc1180562163on_val] :
~ ! [B: list_exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc1302104557on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[257]) ).
thf(548,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ B ) @ ( transi2118771717on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ D ) @ C )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ D @ B ) @ ( transi2118771717on_val @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_840_converse__rtranclE) ).
thf(2792,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ B ) @ ( transi2118771717on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ D ) @ C )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ D @ B ) @ ( transi2118771717on_val @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[548]) ).
thf(279,axiom,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val] :
( ( ( A @ B )
= C )
=> ( ( fun_up1472480727on_val @ A @ B @ C )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_193_fun__upd__idem) ).
thf(1807,plain,
! [A: nat > option1728594148on_val,B: nat,C: option1728594148on_val] :
( ( ( A @ B )
= C )
=> ( ( fun_up1472480727on_val @ A @ B @ C )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[279]) ).
thf(144,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ ( bool @ $true ) ) @ H )
=> ( ( eval @ E @ B @ H @ C @ D )
=> ( eval @ E @ ( cond_list_char @ F @ B @ A ) @ G @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1098_CondT) ).
thf(1326,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ ( bool @ $true ) ) @ H )
=> ( ( eval @ E @ B @ H @ C @ D )
=> ( eval @ E @ ( cond_list_char @ F @ B @ A ) @ G @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[144]) ).
thf(520,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_char,E: ty,F: exp_list_char,G: ty] :
( ( wTrt_1 @ A @ B @ ( fun_up424764369ion_ty @ C @ D @ ( some_ty @ E ) ) @ F @ G )
=> ( wTrt_1 @ A @ B @ C @ ( block_list_char @ D @ E @ F ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_520_WTrtBlock) ).
thf(2707,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_char,E: ty,F: exp_list_char,G: ty] :
( ( wTrt_1 @ A @ B @ ( fun_up424764369ion_ty @ C @ D @ ( some_ty @ E ) ) @ F @ G )
=> ( wTrt_1 @ A @ B @ C @ ( block_list_char @ D @ E @ F ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[520]) ).
thf(377,axiom,
! [A: produc2090907612on_val,B: produc2090907612on_val,C: produc2090907612on_val,D: produc2090907612on_val] :
( ( ( produc259392253on_val @ A @ B )
= ( produc259392253on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_114_Pair__eq) ).
thf(2167,plain,
! [A: produc2090907612on_val,B: produc2090907612on_val,C: produc2090907612on_val,D: produc2090907612on_val] :
( ( ( produc259392253on_val @ A @ B )
= ( produc259392253on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[377]) ).
thf(187,axiom,
! [A: produc1278157519t_char] :
~ ! [B: list_char,C: list_char] :
( A
!= ( produc5062597t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_326_PairE) ).
thf(1476,plain,
! [A: produc1278157519t_char] :
~ ! [B: list_char,C: list_char] :
( A
!= ( produc5062597t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[187]) ).
thf(228,axiom,
! [A: list_char > $o,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ H )
=> ( ( eval @ H @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( ( ord_le1777678169char_o @ ( fv @ B ) @ A )
=> ( eval @ H @ B @ ( produc755559506on_val @ C @ ( restri761823004ar_val @ D @ A ) ) @ E @ ( produc755559506on_val @ F @ ( restri761823004ar_val @ G @ A ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_891_eval__restrict__lcl) ).
thf(1639,plain,
! [A: list_char > $o,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val,H: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ H )
=> ( ( eval @ H @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( ( ord_le1777678169char_o @ ( fv @ B ) @ A )
=> ( eval @ H @ B @ ( produc755559506on_val @ C @ ( restri761823004ar_val @ D @ A ) ) @ E @ ( produc755559506on_val @ F @ ( restri761823004ar_val @ G @ A ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[228]) ).
thf(402,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char] :
( ( fv @ ( cond_list_char @ A @ B @ C ) )
= ( semila2134664963char_o @ ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ B ) ) @ ( fv @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1095_fv__fvs_Osimps_I12_J) ).
thf(2251,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char] :
( ( fv @ ( cond_list_char @ A @ B @ C ) )
= ( semila2134664963char_o @ ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ B ) ) @ ( fv @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[402]) ).
thf(367,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char] :
( ( fun_up204312361on_val @ A @ B @ ( A @ B ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_5_fun__upd__triv) ).
thf(2135,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char] :
( ( fun_up204312361on_val @ A @ B @ ( A @ B ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[367]) ).
thf(476,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt_1 @ A @ B @ C @ ( throw_list_char @ D ) @ E )
=> ~ ! [F: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ F )
=> ~ ( is_refT @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_977_WTrt__elim__cases_I4_J) ).
thf(2532,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt_1 @ A @ B @ C @ ( throw_list_char @ D ) @ E )
=> ~ ! [F: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ F )
=> ~ ( is_refT @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[476]) ).
thf(635,axiom,
! [A: list_char,B: produc2090907612on_val,C: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( val_list_char @ null ) ) @ B ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ B ) ) @ ( red @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1038_red__reds_ORedCastNull) ).
thf(3085,plain,
! [A: list_char,B: produc2090907612on_val,C: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( cast_list_char @ A @ ( val_list_char @ null ) ) @ B ) @ ( produc235638504on_val @ ( val_list_char @ null ) @ B ) ) @ ( red @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[635]) ).
thf(752,axiom,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: produc1282892786on_val] :
( A
!= ( produc833389609on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_330_PairE) ).
thf(3465,plain,
! [A: produc1746408499on_val] :
~ ! [B: produc1282892786on_val,C: produc1282892786on_val] :
( A
!= ( produc833389609on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[752]) ).
thf(128,axiom,
! [A: nat > option1728594148on_val,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: exp_list_char,F: ty] :
( ( wTrt_1 @ B @ C @ D @ E @ F )
=> ( ( hext @ C @ A )
=> ( wTrt_1 @ B @ A @ D @ E @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_563_WTrt__hext__mono) ).
thf(1276,plain,
! [A: nat > option1728594148on_val,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: exp_list_char,F: ty] :
( ( wTrt_1 @ B @ C @ D @ E @ F )
=> ( ( hext @ C @ A )
=> ( wTrt_1 @ B @ A @ D @ E @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[128]) ).
thf(161,axiom,
! [A: produc1285161482t_char,B: produc1285161482t_char > $o] :
( ! [C: list_list_char,D: list_ty,E: produc662261637t_char] : ( B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_252_prod__induct3) ).
thf(1385,plain,
! [A: produc1285161482t_char,B: produc1285161482t_char > $o] :
( ! [C: list_list_char,D: list_ty,E: produc662261637t_char] : ( B @ ( produc921874948t_char @ C @ ( produc1909267824t_char @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[161]) ).
thf(254,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( redp @ D @ E @ F @ G @ H )
=> ( redp @ D @ ( fAss_list_char @ E @ A @ B @ C ) @ F @ ( fAss_list_char @ G @ A @ B @ C ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_893_redp__redsp_OFAssRed1) ).
thf(1721,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( redp @ D @ E @ F @ G @ H )
=> ( redp @ D @ ( fAss_list_char @ E @ A @ B @ C ) @ F @ ( fAss_list_char @ G @ A @ B @ C ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[254]) ).
thf(12,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt_1 @ E @ F @ G @ H @ nt )
=> ( ( wTrt_1 @ E @ F @ G @ C @ D )
=> ( wTrt_1 @ E @ F @ G @ ( fAss_list_char @ H @ A @ B @ C ) @ void ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1117_WTrtFAssNT) ).
thf(813,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: ty,E: list_P1999446415t_char,F: nat > option1728594148on_val,G: list_char > option_ty,H: exp_list_char] :
( ( wTrt_1 @ E @ F @ G @ H @ nt )
=> ( ( wTrt_1 @ E @ F @ G @ C @ D )
=> ( wTrt_1 @ E @ F @ G @ ( fAss_list_char @ H @ A @ B @ C ) @ void ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).
thf(609,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le166837589_val_o
@ ^ [C: produc1282892786on_val,D: produc1282892786on_val] : ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ A )
@ ^ [C: produc1282892786on_val,D: produc1282892786on_val] : ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ B ) )
= ( ord_le1364969894_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_804_pred__subset__eq2) ).
thf(2988,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le166837589_val_o
@ ^ [C: produc1282892786on_val,D: produc1282892786on_val] : ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ A )
@ ^ [C: produc1282892786on_val,D: produc1282892786on_val] : ( member1913460000on_val @ ( produc833389609on_val @ C @ D ) @ B ) )
= ( ord_le1364969894_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[609]) ).
thf(783,axiom,
! [A: produc2090907612on_val > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc1402621651_val_o @ A @ B @ C )
=> ( A @ ( produc755559506on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_511_curryD) ).
thf(3561,plain,
! [A: produc2090907612on_val > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc1402621651_val_o @ A @ B @ C )
=> ( A @ ( produc755559506on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[783]) ).
thf(493,axiom,
! [A: produc1278157519t_char > option_val,B: option_val,C: option_val,D: produc1278157519t_char,E: produc1278157519t_char] :
( ( D != E )
=> ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ A @ D @ B ) @ E @ C )
= ( fun_up204312361on_val @ ( fun_up204312361on_val @ A @ E @ C ) @ D @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_202_fun__upd__twist) ).
thf(2608,plain,
! [A: produc1278157519t_char > option_val,B: option_val,C: option_val,D: produc1278157519t_char,E: produc1278157519t_char] :
( ( D != E )
=> ( ( fun_up204312361on_val @ ( fun_up204312361on_val @ A @ D @ B ) @ E @ C )
= ( fun_up204312361on_val @ ( fun_up204312361on_val @ A @ E @ C ) @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[493]) ).
thf(685,axiom,
! [A: ty,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char,F: val,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ E @ ( some_val @ F ) ) ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( final_list_char @ G )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ E @ A @ ( seq_list_char @ ( lAss_list_char @ E @ ( val_list_char @ F ) ) @ B ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ E @ ( D @ E ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_657_InitBlockRedsFinal) ).
thf(3235,plain,
! [A: ty,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_char,F: val,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ ( fun_up1149430426on_val @ D @ E @ ( some_val @ F ) ) ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( final_list_char @ G )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ E @ A @ ( seq_list_char @ ( lAss_list_char @ E @ ( val_list_char @ F ) ) @ B ) ) @ ( produc755559506on_val @ C @ D ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ E @ ( D @ E ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[685]) ).
thf(451,axiom,
! [A: list_char,B: produc1278157519t_char > option_val,C: list_char,D: produc1278157519t_char > option_val] :
( ( ( produc926070009on_val @ A @ B )
= ( produc926070009on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_130_Pair__eq) ).
thf(2431,plain,
! [A: list_char,B: produc1278157519t_char > option_val,C: list_char,D: produc1278157519t_char > option_val] :
( ( ( produc926070009on_val @ A @ B )
= ( produc926070009on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[451]) ).
thf(615,axiom,
! [A: list_char > option_val,B: option_val,C: list_char,D: list_char] :
( ( ( C = D )
=> ( ( fun_up1149430426on_val @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up1149430426on_val @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_203_fun__upd__apply) ).
thf(3003,plain,
! [A: list_char > option_val,B: option_val,C: list_char,D: list_char] :
( ( ( C = D )
=> ( ( fun_up1149430426on_val @ A @ D @ B @ C )
= B ) )
& ( ( C != D )
=> ( ( fun_up1149430426on_val @ A @ D @ B @ C )
= ( A @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[615]) ).
thf(538,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( redp @ A @ B @ C @ D @ E )
= ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_650_redp__red__eq) ).
thf(2764,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val] :
( ( redp @ A @ B @ C @ D @ E )
= ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( red @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[538]) ).
thf(197,axiom,
! [A: $o] :
( unit
!= ( bool @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1068_val_Osimps_I6_J) ).
thf(1523,plain,
! [A: $o] :
( unit
!= ( bool @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[197]) ).
thf(365,axiom,
! [A: exp_list_char,B: exp_list_char] :
( ( fv @ ( seq_list_char @ A @ B ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_884_fv__fvs_Osimps_I11_J) ).
thf(2130,plain,
! [A: exp_list_char,B: exp_list_char] :
( ( fv @ ( seq_list_char @ A @ B ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[365]) ).
thf(711,axiom,
! [A: produc1282892786on_val > $o] :
( ( ! [B: produc1282892786on_val] : ( A @ B ) )
= ( ! [B: exp_list_char,C: produc2090907612on_val] : ( A @ ( produc235638504on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_172_split__paired__All) ).
thf(3331,plain,
! [A: produc1282892786on_val > $o] :
( ( ! [B: produc1282892786on_val] : ( A @ B ) )
= ( ! [B: exp_list_char,C: produc2090907612on_val] : ( A @ ( produc235638504on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[711]) ).
thf(723,axiom,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val,E: produc1287081631on_val > $o,F: produc774316953on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A @ B ) @ ( produc755559506on_val @ C @ D ) ) @ ( lex_pr359407722on_val @ E @ F ) )
= ( ( member112887436on_val @ ( produc1208913941on_val @ A @ C ) @ E )
| ( ( A = C )
& ( member1838289030on_val @ ( produc1338265359on_val @ B @ D ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_390_in__lex__prod) ).
thf(3368,plain,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val,E: produc1287081631on_val > $o,F: produc774316953on_val > $o] :
( ( member565037556on_val @ ( produc259392253on_val @ ( produc755559506on_val @ A @ B ) @ ( produc755559506on_val @ C @ D ) ) @ ( lex_pr359407722on_val @ E @ F ) )
= ( ( member112887436on_val @ ( produc1208913941on_val @ A @ C ) @ E )
| ( ( A = C )
& ( member1838289030on_val @ ( produc1338265359on_val @ B @ D ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[723]) ).
thf(245,axiom,
! [A: val,B: exp_list_char,C: exp_list_char] :
( ( val_list_char @ A )
!= ( seq_list_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_576_exp_Osimps_I84_J) ).
thf(1689,plain,
! [A: val,B: exp_list_char,C: exp_list_char] :
( ( val_list_char @ A )
!= ( seq_list_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[245]) ).
thf(709,axiom,
! [A: ty,B: list_P1999446415t_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( redp @ B @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ none_val ) ) @ G @ ( produc755559506on_val @ H @ I ) )
=> ( ( ( I @ F )
= none_val )
=> ( ~ ( assigned @ F @ C )
=> ( redp @ B @ ( block_list_char @ F @ A @ C ) @ ( produc755559506on_val @ D @ E ) @ ( block_list_char @ F @ A @ G ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ F @ ( E @ F ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_630_redp__redsp_OBlockRedNone) ).
thf(3324,plain,
! [A: ty,B: list_P1999446415t_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( redp @ B @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ none_val ) ) @ G @ ( produc755559506on_val @ H @ I ) )
=> ( ( ( I @ F )
= none_val )
=> ( ~ ( assigned @ F @ C )
=> ( redp @ B @ ( block_list_char @ F @ A @ C ) @ ( produc755559506on_val @ D @ E ) @ ( block_list_char @ F @ A @ G ) @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ F @ ( E @ F ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[709]) ).
thf(460,axiom,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: nat,D: nat] :
( ( C != D )
=> ( ( fun_up1472480727on_val @ A @ D @ B @ C )
= ( A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_197_fun__upd__other) ).
thf(2462,plain,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: nat,D: nat] :
( ( C != D )
=> ( ( fun_up1472480727on_val @ A @ D @ B @ C )
= ( A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[460]) ).
thf(385,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( throw_list_char @ G ) @ H )
=> ( eval @ D @ ( fAss_list_char @ E @ A @ B @ C ) @ F @ ( throw_list_char @ G ) @ H ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_920_eval__evals_OFAssThrow1) ).
thf(2198,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: list_P1999446415t_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: produc2090907612on_val] :
( ( eval @ D @ E @ F @ ( throw_list_char @ G ) @ H )
=> ( eval @ D @ ( fAss_list_char @ E @ A @ B @ C ) @ F @ ( throw_list_char @ G ) @ H ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[385]) ).
thf(375,axiom,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: option1728594148on_val,D: nat,E: nat] :
( ( D != E )
=> ( ( fun_up1472480727on_val @ ( fun_up1472480727on_val @ A @ D @ B ) @ E @ C )
= ( fun_up1472480727on_val @ ( fun_up1472480727on_val @ A @ E @ C ) @ D @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_201_fun__upd__twist) ).
thf(2162,plain,
! [A: nat > option1728594148on_val,B: option1728594148on_val,C: option1728594148on_val,D: nat,E: nat] :
( ( D != E )
=> ( ( fun_up1472480727on_val @ ( fun_up1472480727on_val @ A @ D @ B ) @ E @ C )
= ( fun_up1472480727on_val @ ( fun_up1472480727on_val @ A @ E @ C ) @ D @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[375]) ).
thf(195,axiom,
! [A: produc2088785539on_val] :
~ ! [B: list_char,C: produc1278157519t_char > option_val] :
( A
!= ( produc926070009on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_311_prod_Oexhaust) ).
thf(1513,plain,
! [A: produc2088785539on_val] :
~ ! [B: list_char,C: produc1278157519t_char > option_val] :
( A
!= ( produc926070009on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[195]) ).
thf(582,axiom,
! [A: list_char > option_val,B: val,C: list_char,D: list_char > option_val] :
( ~ ( member_list_char @ C @ ( dom_list_char_val @ D ) )
=> ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ A @ C @ ( some_val @ B ) ) @ D )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ A @ D ) @ C @ ( some_val @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_459_map__add__upd__left) ).
thf(2902,plain,
! [A: list_char > option_val,B: val,C: list_char,D: list_char > option_val] :
( ~ ( member_list_char @ C @ ( dom_list_char_val @ D ) )
=> ( ( map_ad325961431ar_val @ ( fun_up1149430426on_val @ A @ C @ ( some_val @ B ) ) @ D )
= ( fun_up1149430426on_val @ ( map_ad325961431ar_val @ A @ D ) @ C @ ( some_val @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[582]) ).
thf(420,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: bop,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ A @ ( binOp_list_char @ B @ C @ D ) @ E @ F @ G )
=> ( ! [H: val,I: produc2090907612on_val,J: val,K: val] :
( ( F
= ( val_list_char @ K ) )
=> ( ( eval @ A @ B @ E @ ( val_list_char @ H ) @ I )
=> ( ( eval @ A @ D @ I @ ( val_list_char @ J ) @ G )
=> ( ( binop @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ H @ J ) ) )
!= ( some_val @ K ) ) ) ) )
=> ( ! [H: exp_list_char] :
( ( F
= ( throw_list_char @ H ) )
=> ~ ( eval @ A @ B @ E @ ( throw_list_char @ H ) @ G ) )
=> ~ ! [H: val,I: produc2090907612on_val,J: exp_list_char] :
( ( F
= ( throw_list_char @ J ) )
=> ( ( eval @ A @ B @ E @ ( val_list_char @ H ) @ I )
=> ~ ( eval @ A @ D @ I @ ( throw_list_char @ J ) @ G ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1005_eval__cases_I3_J) ).
thf(2315,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: bop,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( eval @ A @ ( binOp_list_char @ B @ C @ D ) @ E @ F @ G )
=> ( ! [H: val,I: produc2090907612on_val,J: val,K: val] :
( ( F
= ( val_list_char @ K ) )
=> ( ( eval @ A @ B @ E @ ( val_list_char @ H ) @ I )
=> ( ( eval @ A @ D @ I @ ( val_list_char @ J ) @ G )
=> ( ( binop @ ( produc621191550al_val @ C @ ( product_Pair_val_val @ H @ J ) ) )
!= ( some_val @ K ) ) ) ) )
=> ( ! [H: exp_list_char] :
( ( F
= ( throw_list_char @ H ) )
=> ~ ( eval @ A @ B @ E @ ( throw_list_char @ H ) @ G ) )
=> ~ ! [H: val,I: produc2090907612on_val,J: exp_list_char] :
( ( F
= ( throw_list_char @ J ) )
=> ( ( eval @ A @ B @ E @ ( val_list_char @ H ) @ I )
=> ~ ( eval @ A @ D @ I @ ( throw_list_char @ J ) @ G ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[420]) ).
thf(454,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val,D: option_val] :
( ( fun_up204312361on_val @ ( fun_up204312361on_val @ A @ B @ C ) @ B @ D )
= ( fun_up204312361on_val @ A @ B @ D ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_214_fun__upd__upd) ).
thf(2447,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: option_val,D: option_val] :
( ( fun_up204312361on_val @ ( fun_up204312361on_val @ A @ B @ C ) @ B @ D )
= ( fun_up204312361on_val @ A @ B @ D ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[454]) ).
thf(597,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val,D: produc1278157519t_char > option_val,E: val] :
( ( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) )
= ( fun_up204312361on_val @ D @ B @ ( some_val @ E ) ) )
=> ( C = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_18_map__upd__eqD1) ).
thf(2944,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char,C: val,D: produc1278157519t_char > option_val,E: val] :
( ( ( fun_up204312361on_val @ A @ B @ ( some_val @ C ) )
= ( fun_up204312361on_val @ D @ B @ ( some_val @ E ) ) )
=> ( C = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[597]) ).
thf(435,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ! [C: list_char] :
( ( member_list_char @ C @ B )
=> ( member_list_char @ C @ A ) )
=> ( ord_le1777678169char_o @ B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_739_subsetI) ).
thf(2384,plain,
! [A: list_char > $o,B: list_char > $o] :
( ! [C: list_char] :
( ( member_list_char @ C @ B )
=> ( member_list_char @ C @ A ) )
=> ( ord_le1777678169char_o @ B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[435]) ).
thf(546,axiom,
! [A: produc1746408499on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( produc803302844_val_o @ A @ B @ C )
=> ( A @ ( produc833389609on_val @ B @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_513_curryD) ).
thf(2786,plain,
! [A: produc1746408499on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val] :
( ( produc803302844_val_o @ A @ B @ C )
=> ( A @ ( produc833389609on_val @ B @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[546]) ).
thf(586,axiom,
! [A: list_char > option_val,B: list_char,C: option_val] :
( ( ( fun_up1149430426on_val @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_215_fun__upd__idem__iff) ).
thf(2912,plain,
! [A: list_char > option_val,B: list_char,C: option_val] :
( ( ( fun_up1149430426on_val @ A @ B @ C )
= A )
= ( ( A @ B )
= C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[586]) ).
thf(342,axiom,
! [A: list_P1999446415t_char,B: produc2090907612on_val] : ( redp @ A @ ( throw_list_char @ ( val_list_char @ null ) ) @ B @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1043_redp__redsp_ORedThrowNull) ).
thf(2041,plain,
! [A: list_P1999446415t_char,B: produc2090907612on_val] : ( redp @ A @ ( throw_list_char @ ( val_list_char @ null ) ) @ B @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[342]) ).
thf(744,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( hext @ B @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_350_red__hext__incr) ).
thf(3430,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) @ ( red @ G ) )
=> ( hext @ B @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[744]) ).
thf(271,axiom,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ unit ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1006_binop_Osimps_I7_J) ).
thf(1777,plain,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ A @ unit ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[271]) ).
thf(34,axiom,
! [A: produc1406897475t_char,B: produc1406897475t_char > $o] :
( ! [C: produc220283002t_char,D: list_ty,E: produc662261637t_char] : ( B @ ( produc57279289t_char @ C @ ( produc1909267824t_char @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_prod__induct3) ).
thf(899,plain,
! [A: produc1406897475t_char,B: produc1406897475t_char > $o] :
( ! [C: produc220283002t_char,D: list_ty,E: produc662261637t_char] : ( B @ ( produc57279289t_char @ C @ ( produc1909267824t_char @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).
thf(235,axiom,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: val,I: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ H ) @ I )
=> ( ( eval @ E @ B @ I @ ( throw_list_char @ C ) @ D )
=> ( eval @ E @ ( binOp_list_char @ F @ A @ B ) @ G @ ( throw_list_char @ C ) @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_962_eval__evals_OBinOpThrow2) ).
thf(1661,plain,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: val,I: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ H ) @ I )
=> ( ( eval @ E @ B @ I @ ( throw_list_char @ C ) @ D )
=> ( eval @ E @ ( binOp_list_char @ F @ A @ B ) @ G @ ( throw_list_char @ C ) @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[235]) ).
thf(395,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ A @ B )
=> ( ord_le1364969894_val_o @ ( transi2118771717on_val @ A ) @ ( transi2118771717on_val @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_678_rtrancl__mono) ).
thf(2230,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ A @ B )
=> ( ord_le1364969894_val_o @ ( transi2118771717on_val @ A ) @ ( transi2118771717on_val @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[395]) ).
thf(416,axiom,
! [A: list_char,B: list_char,C: list_char,D: list_char] :
( ( ( produc5062597t_char @ A @ B )
= ( produc5062597t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_87_Pair__inject) ).
thf(2294,plain,
! [A: list_char,B: list_char,C: list_char,D: list_char] :
( ( ( produc5062597t_char @ A @ B )
= ( produc5062597t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[416]) ).
thf(138,axiom,
! [A: list_exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redsp @ B @ ( cons_exp_list_char @ C @ A ) @ D @ ( cons_exp_list_char @ E @ A ) @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1180_redp__redsp_OListRed1) ).
thf(1309,plain,
! [A: list_exp_list_char,B: list_P1999446415t_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( redp @ B @ C @ D @ E @ F )
=> ( redsp @ B @ ( cons_exp_list_char @ C @ A ) @ D @ ( cons_exp_list_char @ E @ A ) @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[138]) ).
thf(468,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ E )
=> ( ( is_refT @ E )
=> ( ( final_list_char @ D )
=> ( ( D
!= ( val_list_char @ null ) )
=> ( ( ? [F: nat] :
( D
= ( val_list_char @ ( addr @ F ) ) )
=> ! [F: list_char] :
( E
!= ( class @ F ) ) )
=> ~ ! [F: nat] :
( D
!= ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1051_finalRefE) ).
thf(2494,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: ty] :
( ( wTrt_1 @ A @ B @ C @ D @ E )
=> ( ( is_refT @ E )
=> ( ( final_list_char @ D )
=> ( ( D
!= ( val_list_char @ null ) )
=> ( ( ? [F: nat] :
( D
= ( val_list_char @ ( addr @ F ) ) )
=> ! [F: list_char] :
( E
!= ( class @ F ) ) )
=> ~ ! [F: nat] :
( D
!= ( throw_list_char @ ( val_list_char @ ( addr @ F ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[468]) ).
thf(177,axiom,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char > option_val,E: list_char,F: list_ty,G: ty,H: list_list_char,I: exp_list_char,J: list_char,K: list_char,L: produc1278157519t_char > option_val,M: list_exp_list_char,N: list_val,O: nat > option1728594148on_val,P: list_char > option_val,Q: exp_list_char,R: produc2090907612on_val,S: nat,T: produc2090907612on_val,U: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ U )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Q @ R ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ S ) ) @ T ) ) @ ( transi2118771717on_val @ ( red @ U ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ M @ T ) @ ( produc1302104557on_val @ ( map_va1934808527t_char @ val_list_char @ N ) @ ( produc755559506on_val @ O @ P ) ) ) @ ( transi808828192on_val @ ( reds @ U ) ) )
=> ( ( ( O @ S )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ U @ K @ E @ F @ G @ ( produc1147572817t_char @ H @ I ) @ J )
=> ( ( ( size_size_list_val @ N )
= ( size_s2113983095t_char @ H ) )
=> ( ( D
= ( map_up1085636310ar_val
@ ( fun_up1149430426on_val
@ ^ [V: list_char] : none_val
@ this
@ ( some_val @ ( addr @ S ) ) )
@ H
@ N ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ ( produc755559506on_val @ O @ D ) ) @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) ) @ ( transi2118771717on_val @ ( red @ U ) ) )
=> ( ( final_list_char @ A )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ Q @ E @ M ) @ R ) @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ P ) ) ) @ ( transi2118771717on_val @ ( red @ U ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1183_CallRedsFinal) ).
thf(1442,plain,
! [A: exp_list_char,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char > option_val,E: list_char,F: list_ty,G: ty,H: list_list_char,I: exp_list_char,J: list_char,K: list_char,L: produc1278157519t_char > option_val,M: list_exp_list_char,N: list_val,O: nat > option1728594148on_val,P: list_char > option_val,Q: exp_list_char,R: produc2090907612on_val,S: nat,T: produc2090907612on_val,U: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ U )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ Q @ R ) @ ( produc235638504on_val @ ( val_list_char @ ( addr @ S ) ) @ T ) ) @ ( transi2118771717on_val @ ( red @ U ) ) )
=> ( ( member2042188884on_val @ ( produc747700183on_val @ ( produc1302104557on_val @ M @ T ) @ ( produc1302104557on_val @ ( map_va1934808527t_char @ val_list_char @ N ) @ ( produc755559506on_val @ O @ P ) ) ) @ ( transi808828192on_val @ ( reds @ U ) ) )
=> ( ( ( O @ S )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ U @ K @ E @ F @ G @ ( produc1147572817t_char @ H @ I ) @ J )
=> ( ( ( size_size_list_val @ N )
= ( size_s2113983095t_char @ H ) )
=> ( ( D
= ( map_up1085636310ar_val
@ ( fun_up1149430426on_val
@ ^ [V: list_char] : none_val
@ this
@ ( some_val @ ( addr @ S ) ) )
@ H
@ N ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ I @ ( produc755559506on_val @ O @ D ) ) @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ C ) ) ) @ ( transi2118771717on_val @ ( red @ U ) ) )
=> ( ( final_list_char @ A )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ Q @ E @ M ) @ R ) @ ( produc235638504on_val @ A @ ( produc755559506on_val @ B @ P ) ) ) @ ( transi2118771717on_val @ ( red @ U ) ) ) ) ) ) ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[177]) ).
thf(390,axiom,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_715_subset__trans) ).
thf(2218,plain,
! [A: list_char > $o,B: list_char > $o,C: list_char > $o] :
( ( ord_le1777678169char_o @ B @ C )
=> ( ( ord_le1777678169char_o @ C @ A )
=> ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[390]) ).
thf(150,axiom,
! [A: produc1287081631on_val > $o,B: produc1287081631on_val > $o] :
( ( ! [C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( member112887436on_val @ ( produc1208913941on_val @ C @ D ) @ B )
= ( member112887436on_val @ ( produc1208913941on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_280_pred__equals__eq2) ).
thf(1348,plain,
! [A: produc1287081631on_val > $o,B: produc1287081631on_val > $o] :
( ( ! [C: nat > option1728594148on_val,D: nat > option1728594148on_val] :
( ( member112887436on_val @ ( produc1208913941on_val @ C @ D ) @ B )
= ( member112887436on_val @ ( produc1208913941on_val @ C @ D ) @ A ) ) )
= ( B = A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[150]) ).
thf(270,axiom,
! [A: exp_list_char,B: list_char,C: list_char,D: exp_list_char] :
( ( fv @ ( fAss_list_char @ A @ B @ C @ D ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_895_fv__fvs_Osimps_I8_J) ).
thf(1774,plain,
! [A: exp_list_char,B: list_char,C: list_char,D: exp_list_char] :
( ( fv @ ( fAss_list_char @ A @ B @ C @ D ) )
= ( semila2134664963char_o @ ( fv @ A ) @ ( fv @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[270]) ).
thf(322,axiom,
! [A: bop,B: product_prod_val_val,C: bop,D: product_prod_val_val] :
( ( ( produc621191550al_val @ A @ B )
= ( produc621191550al_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_88_Pair__inject) ).
thf(1957,plain,
! [A: bop,B: product_prod_val_val,C: bop,D: product_prod_val_val] :
( ( ( produc621191550al_val @ A @ B )
= ( produc621191550al_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[322]) ).
thf(768,axiom,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ B ) @ ( transi2118771717on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ D ) @ ( transi2118771717on_val @ C ) )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ D @ B ) @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_836_rtranclE) ).
thf(3511,plain,
! [A: produc1282892786on_val,B: produc1282892786on_val,C: produc1746408499on_val > $o] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ B ) @ ( transi2118771717on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1282892786on_val] :
( ( member1913460000on_val @ ( produc833389609on_val @ A @ D ) @ ( transi2118771717on_val @ C ) )
=> ~ ( member1913460000on_val @ ( produc833389609on_val @ D @ B ) @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[768]) ).
thf(373,axiom,
! [A: produc220283002t_char] :
~ ! [B: list_ty,C: produc662261637t_char] :
( A
!= ( produc1909267824t_char @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_304_prod_Oexhaust) ).
thf(2155,plain,
! [A: produc220283002t_char] :
~ ! [B: list_ty,C: produc662261637t_char] :
( A
!= ( produc1909267824t_char @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[373]) ).
thf(51,axiom,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val] :
( ( preallocated @ B )
=> ( ( hext @ B @ A )
=> ( preallocated @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_993_preallocated__hext) ).
thf(967,plain,
! [A: nat > option1728594148on_val,B: nat > option1728594148on_val] :
( ( preallocated @ B )
=> ( ( hext @ B @ A )
=> ( preallocated @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).
thf(164,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ~ ( ( ord_le1777678169char_o @ A @ B )
=> ~ ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_716_equalityE) ).
thf(1395,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ~ ( ( ord_le1777678169char_o @ A @ B )
=> ~ ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[164]) ).
thf(725,axiom,
! [A: ty,B: list_P1999446415t_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( eval @ B @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ none_val ) ) @ G @ ( produc755559506on_val @ H @ I ) )
=> ( eval @ B @ ( block_list_char @ F @ A @ C ) @ ( produc755559506on_val @ D @ E ) @ G @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ F @ ( E @ F ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_854_Block) ).
thf(3373,plain,
! [A: ty,B: list_P1999446415t_char,C: exp_list_char,D: nat > option1728594148on_val,E: list_char > option_val,F: list_char,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( eval @ B @ C @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ F @ none_val ) ) @ G @ ( produc755559506on_val @ H @ I ) )
=> ( eval @ B @ ( block_list_char @ F @ A @ C ) @ ( produc755559506on_val @ D @ E ) @ G @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ F @ ( E @ F ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[725]) ).
thf(188,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( ( some_list_char_o @ A )
= ( some_list_char_o @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_355_option_Oinject) ).
thf(1480,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( ( some_list_char_o @ A )
= ( some_list_char_o @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[188]) ).
thf(626,axiom,
! [A: list_char,B: list_char > option_val,C: list_P1999446415t_char,D: nat > option1728594148on_val] :
( ( ( new_Addr @ D )
= none_nat )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( new_list_char @ A ) @ ( produc755559506on_val @ D @ B ) ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ D @ B ) ) ) @ ( red @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1124_red__reds_ORedNewFail) ).
thf(3062,plain,
! [A: list_char,B: list_char > option_val,C: list_P1999446415t_char,D: nat > option1728594148on_val] :
( ( ( new_Addr @ D )
= none_nat )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( new_list_char @ A ) @ ( produc755559506on_val @ D @ B ) ) @ ( produc235638504on_val @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ outOfMemory ) ) ) ) @ ( produc755559506on_val @ D @ B ) ) ) @ ( red @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[626]) ).
thf(753,axiom,
! [A: exp_list_char,B: list_char,C: list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_916_red__reds_OFAccThrow) ).
thf(3469,plain,
! [A: exp_list_char,B: list_char,C: list_char,D: produc2090907612on_val,E: list_P1999446415t_char] : ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( throw_list_char @ A ) @ B @ C ) @ D ) @ ( produc235638504on_val @ ( throw_list_char @ A ) @ D ) ) @ ( red @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[753]) ).
thf(306,axiom,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val] :
~ ! [D: nat] :
( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) @ D )
= none_P1260844216on_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_640_map__upd__nonempty) ).
thf(1908,plain,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val] :
~ ! [D: nat] :
( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) @ D )
= none_P1260844216on_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[306]) ).
thf(331,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_char,D: list_exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( call_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1138_redp__redsp_OCallThrowObj) ).
thf(2003,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: list_char,D: list_exp_list_char,E: produc2090907612on_val] : ( redp @ A @ ( call_list_char @ ( throw_list_char @ B ) @ C @ D ) @ E @ ( throw_list_char @ B ) @ E ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[331]) ).
thf(556,axiom,
! [A: list_P1999446415t_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( lAss_list_char @ B @ C ) @ D @ E @ F )
=> ( ( ( E
= ( val_list_char @ unit ) )
=> ! [G: val,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( F
= ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ B @ ( some_val @ G ) ) ) )
=> ~ ( eval @ A @ C @ D @ ( val_list_char @ G ) @ ( produc755559506on_val @ H @ I ) ) ) )
=> ~ ! [G: exp_list_char] :
( ( E
= ( throw_list_char @ G ) )
=> ~ ( eval @ A @ C @ D @ ( throw_list_char @ G ) @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_944_eval__cases_I4_J) ).
thf(2815,plain,
! [A: list_P1999446415t_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val] :
( ( eval @ A @ ( lAss_list_char @ B @ C ) @ D @ E @ F )
=> ( ( ( E
= ( val_list_char @ unit ) )
=> ! [G: val,H: nat > option1728594148on_val,I: list_char > option_val] :
( ( F
= ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ B @ ( some_val @ G ) ) ) )
=> ~ ( eval @ A @ C @ D @ ( val_list_char @ G ) @ ( produc755559506on_val @ H @ I ) ) ) )
=> ~ ! [G: exp_list_char] :
( ( E
= ( throw_list_char @ G ) )
=> ~ ( eval @ A @ C @ D @ ( throw_list_char @ G ) @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[556]) ).
thf(26,axiom,
! [A: produc220283002t_char,B: produc220283002t_char,C: produc220283002t_char,D: produc220283002t_char] :
( ( ( produc57279289t_char @ A @ B )
= ( produc57279289t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_63_Pair__inject) ).
thf(854,plain,
! [A: produc220283002t_char,B: produc220283002t_char,C: produc220283002t_char,D: produc220283002t_char] :
( ( ( produc57279289t_char @ A @ B )
= ( produc57279289t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).
thf(333,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_char,E: ty,F: exp_list_char,G: ty] :
( ( wTrt @ A @ B @ ( fun_up424764369ion_ty @ C @ D @ ( some_ty @ E ) ) @ F @ G )
=> ( ~ ( assigned @ D @ F )
=> ( wTrt @ A @ B @ C @ ( block_list_char @ D @ E @ F ) @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1026_WTrt_H__WTrts_H_Ointros_I17_J) ).
thf(2008,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_char,E: ty,F: exp_list_char,G: ty] :
( ( wTrt @ A @ B @ ( fun_up424764369ion_ty @ C @ D @ ( some_ty @ E ) ) @ F @ G )
=> ( ~ ( assigned @ D @ F )
=> ( wTrt @ A @ B @ C @ ( block_list_char @ D @ E @ F ) @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[333]) ).
thf(136,axiom,
! [A: produc1287081631on_val > $o] :
( ( ! [B: produc1287081631on_val] : ( A @ B ) )
= ( ! [B: nat > option1728594148on_val,C: nat > option1728594148on_val] : ( A @ ( produc1208913941on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_169_split__paired__All) ).
thf(1303,plain,
! [A: produc1287081631on_val > $o] :
( ( ! [B: produc1287081631on_val] : ( A @ B ) )
= ( ! [B: nat > option1728594148on_val,C: nat > option1728594148on_val] : ( A @ ( produc1208913941on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[136]) ).
thf(713,axiom,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc1282892786on_val,F: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ B @ C ) @ ( produc833389609on_val @ D @ E ) ) @ ( transi130214086on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: produc1282892786on_val,H: produc1282892786on_val,I: produc1282892786on_val,J: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ B @ C ) @ ( produc833389609on_val @ G @ H ) ) @ ( transi130214086on_val @ F ) )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ G @ H ) @ ( produc833389609on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_788_rtrancl__induct2) ).
thf(3337,plain,
! [A: produc1282892786on_val > produc1282892786on_val > $o,B: produc1282892786on_val,C: produc1282892786on_val,D: produc1282892786on_val,E: produc1282892786on_val,F: produc652964533on_val > $o] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ B @ C ) @ ( produc833389609on_val @ D @ E ) ) @ ( transi130214086on_val @ F ) )
=> ( ( A @ B @ C )
=> ( ! [G: produc1282892786on_val,H: produc1282892786on_val,I: produc1282892786on_val,J: produc1282892786on_val] :
( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ B @ C ) @ ( produc833389609on_val @ G @ H ) ) @ ( transi130214086on_val @ F ) )
=> ( ( member1714424482on_val @ ( produc345758123on_val @ ( produc833389609on_val @ G @ H ) @ ( produc833389609on_val @ I @ J ) ) @ F )
=> ( ( A @ G @ H )
=> ( A @ I @ J ) ) ) )
=> ( A @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[713]) ).
thf(240,axiom,
! [A: list_P1999446415t_char,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( eval @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( hext @ C @ F ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_856_eval__hext) ).
thf(1673,plain,
! [A: list_P1999446415t_char,B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( eval @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( hext @ C @ F ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[240]) ).
thf(120,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ( ord_le1777678169char_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_692_equalityD1) ).
thf(1248,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
=> ( ord_le1777678169char_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[120]) ).
thf(4,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_exp_list_char,E: list_ty] :
( ( wTrts_1 @ A @ B @ C @ D @ E )
=> ( wTrts @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1195_wts__wts_H) ).
thf(790,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_exp_list_char,E: list_ty] :
( ( wTrts_1 @ A @ B @ C @ D @ E )
=> ( wTrts @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).
thf(345,axiom,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ unit @ A ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1007_binop_Osimps_I3_J) ).
thf(2050,plain,
! [A: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ unit @ A ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[345]) ).
thf(155,axiom,
! [A: list_char,B: list_char > $o] :
( ( member_list_char @ A @ B )
= ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_476_mem__def) ).
thf(1363,plain,
! [A: list_char,B: list_char > $o] :
( ( member_list_char @ A @ B )
= ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[155]) ).
thf(698,axiom,
! [A: produc1282892786on_val] :
~ ! [B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val] :
( A
!= ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_224_prod__cases3) ).
thf(3277,plain,
! [A: produc1282892786on_val] :
~ ! [B: exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val] :
( A
!= ( produc235638504on_val @ B @ ( produc755559506on_val @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[698]) ).
thf(782,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) )
= ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_469_split__conv) ).
thf(3558,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) )
= ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[782]) ).
thf(667,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) )
= ( A @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_467_prod_Osimps_I2_J) ).
thf(3177,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o,B: nat > option1728594148on_val,C: list_char > option_val] :
( ( produc252486962_val_o @ A @ ( produc755559506on_val @ B @ C ) )
= ( A @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[667]) ).
thf(110,axiom,
! [A: exp_list_char,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( cond_list_char @ D @ A @ B ) @ E @ ( cond_list_char @ F @ A @ B ) @ G ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1092_redp__redsp_OCondRed) ).
thf(1197,plain,
! [A: exp_list_char,B: exp_list_char,C: list_P1999446415t_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val] :
( ( redp @ C @ D @ E @ F @ G )
=> ( redp @ C @ ( cond_list_char @ D @ A @ B ) @ E @ ( cond_list_char @ F @ A @ B ) @ G ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[110]) ).
thf(441,axiom,
! [A: produc220283002t_char] :
~ ! [B: list_ty,C: list_val,D: exp_list_char] :
( A
!= ( produc1909267824t_char @ B @ ( produc1916172923t_char @ C @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_229_prod__cases3) ).
thf(2404,plain,
! [A: produc220283002t_char] :
~ ! [B: list_ty,C: list_val,D: exp_list_char] :
( A
!= ( produc1909267824t_char @ B @ ( produc1916172923t_char @ C @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[441]) ).
thf(766,axiom,
! [A: list_char,B: list_exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1141_CallRedsObj) ).
thf(3506,plain,
! [A: list_char,B: list_exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( call_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[766]) ).
thf(349,axiom,
! [A: ty,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: exp_list_char,F: ty] :
( ( wTrt_1 @ B @ C @ D @ E @ F )
=> ( ( is_refT @ F )
=> ( wTrt_1 @ B @ C @ D @ ( throw_list_char @ E ) @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_950_WTrtThrow) ).
thf(2063,plain,
! [A: ty,B: list_P1999446415t_char,C: nat > option1728594148on_val,D: list_char > option_ty,E: exp_list_char,F: ty] :
( ( wTrt_1 @ B @ C @ D @ E @ F )
=> ( ( is_refT @ F )
=> ( wTrt_1 @ B @ C @ D @ ( throw_list_char @ E ) @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[349]) ).
thf(7,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_exp_list_char,E: list_ty] :
( ( wTrts @ A @ B @ C @ D @ E )
= ( wTrts_1 @ A @ B @ C @ D @ E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1193_wts_H__iff__wts) ).
thf(796,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: list_exp_list_char,E: list_ty] :
( ( wTrts @ A @ B @ C @ D @ E )
= ( wTrts_1 @ A @ B @ C @ D @ E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).
thf(480,axiom,
! [A: produc1406897475t_char] :
~ ! [B: produc220283002t_char,C: list_ty,D: list_val,E: exp_list_char] :
( A
!= ( produc57279289t_char @ B @ ( produc1909267824t_char @ C @ ( produc1916172923t_char @ D @ E ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_51_prod__cases4) ).
thf(2549,plain,
! [A: produc1406897475t_char] :
~ ! [B: produc220283002t_char,C: list_ty,D: list_val,E: exp_list_char] :
( A
!= ( produc57279289t_char @ B @ ( produc1909267824t_char @ C @ ( produc1916172923t_char @ D @ E ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[480]) ).
thf(533,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( ( H @ ( produc5062597t_char @ B @ C ) )
= ( some_val @ D ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( val_list_char @ ( addr @ F ) ) @ B @ C ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( red @ A ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_904_red__reds_ORedFAcc) ).
thf(2751,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: val,E: produc2090907612on_val,F: nat,G: list_char,H: produc1278157519t_char > option_val] :
( ( ( hp @ E @ F )
= ( some_P451527732on_val @ ( produc926070009on_val @ G @ H ) ) )
=> ( ( ( H @ ( produc5062597t_char @ B @ C ) )
= ( some_val @ D ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ ( val_list_char @ ( addr @ F ) ) @ B @ C ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( red @ A ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[533]) ).
thf(550,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: val,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ H ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ H ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ F @ C ) @ E ) @ ( produc235638504on_val @ A @ B ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ F @ C ) @ G ) @ ( produc235638504on_val @ A @ B ) ) @ ( transi2118771717on_val @ ( red @ I ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1088_WhileTReds) ).
thf(2800,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: val,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ ( bool @ $true ) ) @ H ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ H ) @ ( produc235638504on_val @ ( val_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ F @ C ) @ E ) @ ( produc235638504on_val @ A @ B ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( while_list_char @ F @ C ) @ G ) @ ( produc235638504on_val @ A @ B ) ) @ ( transi2118771717on_val @ ( red @ I ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[550]) ).
thf(246,axiom,
! [A: nat,B: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ ( addr @ A ) @ B ) ) )
= none_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1013_binop_Osimps_I6_J) ).
thf(1693,plain,
! [A: nat,B: val] :
( ( binop @ ( produc621191550al_val @ add @ ( product_Pair_val_val @ ( addr @ A ) @ B ) ) )
= none_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[246]) ).
thf(352,axiom,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val] :
( ( ( A @ B )
= ( some_P451527732on_val @ C ) )
=> ( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_13_map__upd__triv) ).
thf(2070,plain,
! [A: nat > option1728594148on_val,B: nat,C: produc2088785539on_val] :
( ( ( A @ B )
= ( some_P451527732on_val @ C ) )
=> ( ( fun_up1472480727on_val @ A @ B @ ( some_P451527732on_val @ C ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[352]) ).
thf(757,axiom,
! [A: produc1282892786on_val] :
~ ! [B: exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc235638504on_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_313_prod_Oexhaust) ).
thf(3479,plain,
! [A: produc1282892786on_val] :
~ ! [B: exp_list_char,C: produc2090907612on_val] :
( A
!= ( produc235638504on_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[757]) ).
thf(446,axiom,
! [A: val,B: option_list_char_o] : ( d_list_char @ ( val_list_char @ A ) @ B ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_582__092_060D_062___092_060D_062s_Osimps_I3_J) ).
thf(2417,plain,
! [A: val,B: option_list_char_o] : ( d_list_char @ ( val_list_char @ A ) @ B ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[446]) ).
thf(392,axiom,
! [A: list_char > $o] : ( ord_le1777678169char_o @ A @ A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_690_subset__refl) ).
thf(2223,plain,
! [A: list_char > $o] : ( ord_le1777678169char_o @ A @ A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[392]) ).
thf(186,axiom,
! [A: exp_list_char] :
( ( fv @ ( throw_list_char @ A ) )
= ( fv @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_913_fv__fvs_Osimps_I14_J) ).
thf(1473,plain,
! [A: exp_list_char] :
( ( fv @ ( throw_list_char @ A ) )
= ( fv @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[186]) ).
thf(497,axiom,
! [A: bop,B: product_prod_val_val,C: bop,D: product_prod_val_val] :
( ( ( produc621191550al_val @ A @ B )
= ( produc621191550al_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_132_Pair__eq) ).
thf(2619,plain,
! [A: bop,B: product_prod_val_val,C: bop,D: product_prod_val_val] :
( ( ( produc621191550al_val @ A @ B )
= ( produc621191550al_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[497]) ).
thf(79,axiom,
! [A: produc1250491293on_val,B: produc1250491293on_val > $o] :
( ! [C: produc618524391on_val,D: produc1180562163on_val,E: produc1180562163on_val] : ( B @ ( produc1347028499on_val @ C @ ( produc747700183on_val @ D @ E ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_prod__induct3) ).
thf(1065,plain,
! [A: produc1250491293on_val,B: produc1250491293on_val > $o] :
( ! [C: produc618524391on_val,D: produc1180562163on_val,E: produc1180562163on_val] : ( B @ ( produc1347028499on_val @ C @ ( produc747700183on_val @ D @ E ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).
thf(424,axiom,
! [A: nat,B: nat] :
( ( ( some_nat @ A )
= ( some_nat @ B ) )
= ( A = B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_352_option_Oinject) ).
thf(2340,plain,
! [A: nat,B: nat] :
( ( ( some_nat @ A )
= ( some_nat @ B ) )
= ( A = B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[424]) ).
thf(104,axiom,
! [A: $o,B: nat] :
( ( bool @ A )
!= ( addr @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1066_val_Osimps_I20_J) ).
thf(1165,plain,
! [A: $o,B: nat] :
( ( bool @ A )
!= ( addr @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[104]) ).
thf(650,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( semila1505903696_val_o @ A @ B )
= ( collec1451572574on_val
@ ^ [C: produc1746408499on_val] :
( ( member1913460000on_val @ C @ A )
| ( member1913460000on_val @ C @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_882_Un__def) ).
thf(3128,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( semila1505903696_val_o @ A @ B )
= ( collec1451572574on_val
@ ^ [C: produc1746408499on_val] :
( ( member1913460000on_val @ C @ A )
| ( member1913460000on_val @ C @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[650]) ).
thf(618,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: val,I: produc2090907612on_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ H ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ I ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_941_FAssRedsThrow2) ).
thf(3025,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: val,I: produc2090907612on_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ F @ G ) @ ( produc235638504on_val @ ( val_list_char @ H ) @ I ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ I ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAss_list_char @ F @ A @ B @ C ) @ G ) @ ( produc235638504on_val @ ( throw_list_char @ D ) @ E ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[618]) ).
thf(776,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( tryCatch_list_char @ F @ A @ B @ C ) @ G ) ) @ ( red @ H ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_964_red__reds_OTryRed) ).
thf(3543,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: exp_list_char,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ F @ G ) ) @ ( red @ H ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( tryCatch_list_char @ F @ A @ B @ C ) @ G ) ) @ ( red @ H ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[776]) ).
thf(100,axiom,
! [A: list_char,B: list_exp_list_char,C: list_val,D: exp_list_char,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char,H: exp_list_char,I: produc2090907612on_val,J: val,K: produc2090907612on_val] :
( ( eval @ G @ H @ I @ ( val_list_char @ J ) @ K )
=> ( ( evals @ G @ B @ K @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ C ) @ ( cons_exp_list_char @ ( throw_list_char @ D ) @ E ) ) @ F )
=> ( eval @ G @ ( call_list_char @ H @ A @ B ) @ I @ ( throw_list_char @ D ) @ F ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1163_CallParamsThrow) ).
thf(1152,plain,
! [A: list_char,B: list_exp_list_char,C: list_val,D: exp_list_char,E: list_exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char,H: exp_list_char,I: produc2090907612on_val,J: val,K: produc2090907612on_val] :
( ( eval @ G @ H @ I @ ( val_list_char @ J ) @ K )
=> ( ( evals @ G @ B @ K @ ( append_exp_list_char @ ( map_va1934808527t_char @ val_list_char @ C ) @ ( cons_exp_list_char @ ( throw_list_char @ D ) @ E ) ) @ F )
=> ( eval @ G @ ( call_list_char @ H @ A @ B ) @ I @ ( throw_list_char @ D ) @ F ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[100]) ).
thf(199,axiom,
! [A: produc1645268488al_val] :
~ ! [B: bop,C: product_prod_val_val] :
( A
!= ( produc621191550al_val @ B @ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_309_prod_Oexhaust) ).
thf(1532,plain,
! [A: produc1645268488al_val] :
~ ! [B: bop,C: product_prod_val_val] :
( A
!= ( produc621191550al_val @ B @ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[199]) ).
thf(720,axiom,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val > $o] :
( ( ord_le1792911318_val_o
@ ^ [C: exp_list_char,D: produc2090907612on_val] : ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ A )
@ ^ [C: exp_list_char,D: produc2090907612on_val] : ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ B ) )
= ( ord_le900129703_val_o @ A @ B ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_816_pred__subset__eq2) ).
thf(3360,plain,
! [A: produc1282892786on_val > $o,B: produc1282892786on_val > $o] :
( ( ord_le1792911318_val_o
@ ^ [C: exp_list_char,D: produc2090907612on_val] : ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ A )
@ ^ [C: exp_list_char,D: produc2090907612on_val] : ( member1072200031on_val @ ( produc235638504on_val @ C @ D ) @ B ) )
= ( ord_le900129703_val_o @ A @ B ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[720]) ).
thf(210,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
= ( B = A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_825_order__antisym__conv) ).
thf(1582,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( ord_le1777678169char_o @ A @ B )
=> ( ( ord_le1777678169char_o @ B @ A )
= ( B = A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[210]) ).
thf(760,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ! [C: produc1282892786on_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] : ( B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_31_prod__induct4) ).
thf(3489,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o] :
( ! [C: produc1282892786on_val,D: exp_list_char,E: nat > option1728594148on_val,F: list_char > option_val] : ( B @ ( produc833389609on_val @ C @ ( produc235638504on_val @ D @ ( produc755559506on_val @ E @ F ) ) ) )
=> ( B @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[760]) ).
thf(193,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val,C: produc1746408499on_val,D: produc1746408499on_val] :
( ( ( produc345758123on_val @ A @ B )
= ( produc345758123on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_71_Pair__inject) ).
thf(1500,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val,C: produc1746408499on_val,D: produc1746408499on_val] :
( ( ( produc345758123on_val @ A @ B )
= ( produc345758123on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[193]) ).
thf(467,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc1180562163on_val] :
( ( ( produc747700183on_val @ A @ B )
= ( produc747700183on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_90_Pair__inject) ).
thf(2484,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc1180562163on_val,D: produc1180562163on_val] :
( ( ( produc747700183on_val @ A @ B )
= ( produc747700183on_val @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[467]) ).
thf(222,axiom,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
= ( ( ord_le1777678169char_o @ A @ B )
& ( ord_le1777678169char_o @ B @ A ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_691_set__eq__subset) ).
thf(1621,plain,
! [A: list_char > $o,B: list_char > $o] :
( ( A = B )
= ( ( ord_le1777678169char_o @ A @ B )
& ( ord_le1777678169char_o @ B @ A ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[222]) ).
thf(90,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char > option_val,D: list_char > option_val] :
( ( ( produc1338265359on_val @ A @ B )
= ( produc1338265359on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_126_Pair__eq) ).
thf(1120,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char > option_val,D: list_char > option_val] :
( ( ( produc1338265359on_val @ A @ B )
= ( produc1338265359on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).
thf(368,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val,C: produc1746408499on_val,D: produc1746408499on_val] :
( ( ( produc345758123on_val @ A @ B )
= ( produc345758123on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_115_Pair__eq) ).
thf(2138,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val,C: produc1746408499on_val,D: produc1746408499on_val] :
( ( ( produc345758123on_val @ A @ B )
= ( produc345758123on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[368]) ).
thf(374,axiom,
! [A: list_char > option_val,B: list_char > option_val,C: list_char] :
( ( ( map_ad325961431ar_val @ A @ B @ C )
= none_val )
= ( ( ( B @ C )
= none_val )
& ( ( A @ C )
= none_val ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_631_map__add__None) ).
thf(2159,plain,
! [A: list_char > option_val,B: list_char > option_val,C: list_char] :
( ( ( map_ad325961431ar_val @ A @ B @ C )
= none_val )
= ( ( ( B @ C )
= none_val )
& ( ( A @ C )
= none_val ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[374]) ).
thf(554,axiom,
! [A: produc2090907612on_val > $o] :
( ( ? [B: produc2090907612on_val] : ( A @ B ) )
= ( ? [B: nat > option1728594148on_val,C: list_char > option_val] : ( A @ ( produc755559506on_val @ B @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_344_split__paired__Ex) ).
thf(2810,plain,
! [A: produc2090907612on_val > $o] :
( ( ? [B: produc2090907612on_val] : ( A @ B ) )
= ( ? [B: nat > option1728594148on_val,C: list_char > option_val] : ( A @ ( produc755559506on_val @ B @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[554]) ).
thf(580,axiom,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ G ) @ H ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ H ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E @ A @ B ) @ F ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_951_BinOpRedsThrow2) ).
thf(2898,plain,
! [A: bop,B: exp_list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: val,H: produc2090907612on_val,I: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ ( val_list_char @ G ) @ H ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ H ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ I ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( binOp_list_char @ E @ A @ B ) @ F ) @ ( produc235638504on_val @ ( throw_list_char @ C ) @ D ) ) @ ( transi2118771717on_val @ ( red @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[580]) ).
thf(738,axiom,
! [A: list_char > option_val,B: list_char,C: val,D: list_char > option_val,E: val] :
( ( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) )
= ( fun_up1149430426on_val @ D @ B @ ( some_val @ E ) ) )
=> ( C = E ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_15_map__upd__eqD1) ).
thf(3411,plain,
! [A: list_char > option_val,B: list_char,C: val,D: list_char > option_val,E: val] :
( ( ( fun_up1149430426on_val @ A @ B @ ( some_val @ C ) )
= ( fun_up1149430426on_val @ D @ B @ ( some_val @ E ) ) )
=> ( C = E ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[738]) ).
thf(153,axiom,
! [A: list_val,B: list_P1999446415t_char,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: produc2090907612on_val,J: nat,K: list_char,L: produc1278157519t_char > option_val] :
( ( ( hp @ I @ J )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ B @ K @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( ( size_size_list_val @ A )
= ( size_s2113983095t_char @ F ) )
=> ( ( ( size_size_list_ty @ D )
= ( size_s2113983095t_char @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ ( addr @ J ) ) @ C @ ( map_va1934808527t_char @ val_list_char @ A ) ) @ I ) @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ ( cons_list_char @ this @ F ) @ ( produc1909267824t_char @ ( cons_ty @ ( class @ H ) @ D ) @ ( produc1916172923t_char @ ( cons_val @ ( addr @ J ) @ A ) @ G ) ) ) ) @ I ) ) @ ( red @ B ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1185_red__reds_ORedCall) ).
thf(1357,plain,
! [A: list_val,B: list_P1999446415t_char,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: produc2090907612on_val,J: nat,K: list_char,L: produc1278157519t_char > option_val] :
( ( ( hp @ I @ J )
= ( some_P451527732on_val @ ( produc926070009on_val @ K @ L ) ) )
=> ( ( method1809630380t_char @ B @ K @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( ( size_size_list_val @ A )
= ( size_s2113983095t_char @ F ) )
=> ( ( ( size_size_list_ty @ D )
= ( size_s2113983095t_char @ F ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( call_list_char @ ( val_list_char @ ( addr @ J ) ) @ C @ ( map_va1934808527t_char @ val_list_char @ A ) ) @ I ) @ ( produc235638504on_val @ ( blocks @ ( produc921874948t_char @ ( cons_list_char @ this @ F ) @ ( produc1909267824t_char @ ( cons_ty @ ( class @ H ) @ D ) @ ( produc1916172923t_char @ ( cons_val @ ( addr @ J ) @ A ) @ G ) ) ) ) @ I ) ) @ ( red @ B ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[153]) ).
thf(490,axiom,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o] :
( ( produc1402621651_val_o @ ( produc252486962_val_o @ A ) )
= A ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_436_curry__split) ).
thf(2583,plain,
! [A: ( nat > option1728594148on_val ) > ( list_char > option_val ) > $o] :
( ( produc1402621651_val_o @ ( produc252486962_val_o @ A ) )
= A ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[490]) ).
thf(774,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( fAcc_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_936_FAccReds) ).
thf(3538,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( fAcc_list_char @ C @ A @ B ) @ D ) @ ( produc235638504on_val @ ( fAcc_list_char @ E @ A @ B ) @ F ) ) @ ( transi2118771717on_val @ ( red @ G ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[774]) ).
thf(311,axiom,
! [A: nat] :
( unit
!= ( addr @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_946_val_Osimps_I10_J) ).
thf(1925,plain,
! [A: nat] :
( unit
!= ( addr @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[311]) ).
thf(215,axiom,
! [A: list_char > option_val,B: list_char,C: list_char > option_val] :
( ( member_list_char @ B @ ( dom_list_char_val @ C ) )
=> ( ( map_ad325961431ar_val @ A @ C @ B )
= ( C @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_425_map__add__dom__app__simps_I1_J) ).
thf(1597,plain,
! [A: list_char > option_val,B: list_char,C: list_char > option_val] :
( ( member_list_char @ B @ ( dom_list_char_val @ C ) )
=> ( ( map_ad325961431ar_val @ A @ C @ B )
= ( C @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[215]) ).
thf(56,axiom,
! [A: option1728594148on_val] :
( ( A != none_P1260844216on_val )
=> ~ ! [B: produc2088785539on_val] :
( A
!= ( some_P451527732on_val @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_792_option_Oexhaust) ).
thf(982,plain,
! [A: option1728594148on_val] :
( ( A != none_P1260844216on_val )
=> ~ ! [B: produc2088785539on_val] :
( A
!= ( some_P451527732on_val @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).
thf(771,axiom,
! [A: ty,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( final_list_char @ G )
=> ( ( F
= ( produc755559506on_val @ B @ ( fun_up1149430426on_val @ C @ D @ none_val ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ D @ A @ E ) @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ D @ ( C @ D ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_663_BlockRedsFinal) ).
thf(3526,plain,
! [A: ty,B: nat > option1728594148on_val,C: list_char > option_val,D: list_char,E: exp_list_char,F: produc2090907612on_val,G: exp_list_char,H: nat > option1728594148on_val,I: list_char > option_val,J: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ E @ F ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ I ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) )
=> ( ( final_list_char @ G )
=> ( ( F
= ( produc755559506on_val @ B @ ( fun_up1149430426on_val @ C @ D @ none_val ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( block_list_char @ D @ A @ E ) @ ( produc755559506on_val @ B @ C ) ) @ ( produc235638504on_val @ G @ ( produc755559506on_val @ H @ ( fun_up1149430426on_val @ I @ D @ ( C @ D ) ) ) ) ) @ ( transi2118771717on_val @ ( red @ J ) ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[771]) ).
thf(534,axiom,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( ( eval @ G @ E @ F @ A @ B )
=> ( eval @ G @ C @ D @ A @ B ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_849_extend__1__eval) ).
thf(2754,plain,
! [A: exp_list_char,B: produc2090907612on_val,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( wf_pro755087577t_char @ wwf_J_mdecl @ G )
=> ( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( ( eval @ G @ E @ F @ A @ B )
=> ( eval @ G @ C @ D @ A @ B ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[534]) ).
thf(750,axiom,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ B @ C )
=> ( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_700_in__mono) ).
thf(3461,plain,
! [A: produc1746408499on_val,B: produc1746408499on_val > $o,C: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ B @ C )
=> ( ( member1913460000on_val @ A @ B )
=> ( member1913460000on_val @ A @ C ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[750]) ).
thf(484,axiom,
! [A: list_P1999446415t_char,B: list_char > option_ty,C: produc2090907612on_val] :
( ( typeSa816273224_sconf @ A @ B @ C )
= ( produc252486962_val_o
@ ^ [D: nat > option1728594148on_val,E: list_char > option_val] :
( ( hconf_97414254t_char @ A @ D )
& ( lconf_496643946t_char @ A @ D @ E @ B ) )
@ C ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_349_sconf__def) ).
thf(2563,plain,
! [A: list_P1999446415t_char,B: list_char > option_ty,C: produc2090907612on_val] :
( ( typeSa816273224_sconf @ A @ B @ C )
= ( produc252486962_val_o
@ ^ [D: nat > option1728594148on_val,E: list_char > option_val] :
( ( hconf_97414254t_char @ A @ D )
& ( lconf_496643946t_char @ A @ D @ E @ B ) )
@ C ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[484]) ).
thf(62,axiom,
! [A: list_char,B: ty,C: list_char,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char,H: list_char] :
( ( wTrt_1 @ D @ E @ F @ G @ ( class @ H ) )
=> ( ( has_fi1183600461t_char @ D @ H @ A @ B @ C )
=> ( wTrt_1 @ D @ E @ F @ ( fAcc_list_char @ G @ A @ C ) @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_987_WTrtFAcc) ).
thf(1009,plain,
! [A: list_char,B: ty,C: list_char,D: list_P1999446415t_char,E: nat > option1728594148on_val,F: list_char > option_ty,G: exp_list_char,H: list_char] :
( ( wTrt_1 @ D @ E @ F @ G @ ( class @ H ) )
=> ( ( has_fi1183600461t_char @ D @ H @ A @ B @ C )
=> ( wTrt_1 @ D @ E @ F @ ( fAcc_list_char @ G @ A @ C ) @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).
thf(336,axiom,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ A @ ( transi2118771717on_val @ B ) )
=> ( ord_le1364969894_val_o @ ( transi2118771717on_val @ A ) @ ( transi2118771717on_val @ B ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_684_rtrancl__subset__rtrancl) ).
thf(2018,plain,
! [A: produc1746408499on_val > $o,B: produc1746408499on_val > $o] :
( ( ord_le1364969894_val_o @ A @ ( transi2118771717on_val @ B ) )
=> ( ord_le1364969894_val_o @ ( transi2118771717on_val @ A ) @ ( transi2118771717on_val @ B ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[336]) ).
thf(71,axiom,
! [A: produc2088785539on_val] :
( ( some_P451527732on_val @ A )
!= none_P1260844216on_val ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_611_option_Osimps_I3_J) ).
thf(1037,plain,
! [A: produc2088785539on_val] :
( ( some_P451527732on_val @ A )
!= none_P1260844216on_val ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).
thf(168,axiom,
! [A: list_P1999446415t_char,B: list_exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( evals @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ D ) @ ( dom_list_char_val @ G ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1150_evals__lcl__incr) ).
thf(1416,plain,
! [A: list_P1999446415t_char,B: list_exp_list_char,C: nat > option1728594148on_val,D: list_char > option_val,E: list_exp_list_char,F: nat > option1728594148on_val,G: list_char > option_val] :
( ( evals @ A @ B @ ( produc755559506on_val @ C @ D ) @ E @ ( produc755559506on_val @ F @ G ) )
=> ( ord_le1777678169char_o @ ( dom_list_char_val @ D ) @ ( dom_list_char_val @ G ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[168]) ).
thf(780,axiom,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char > option_val,C: produc1278157519t_char,D: val] :
( ( map_ad1185064968ar_val @ A @ ( fun_up204312361on_val @ B @ C @ ( some_val @ D ) ) )
= ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ A @ B ) @ C @ ( some_val @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_map__add__upd) ).
thf(3553,plain,
! [A: produc1278157519t_char > option_val,B: produc1278157519t_char > option_val,C: produc1278157519t_char,D: val] :
( ( map_ad1185064968ar_val @ A @ ( fun_up204312361on_val @ B @ C @ ( some_val @ D ) ) )
= ( fun_up204312361on_val @ ( map_ad1185064968ar_val @ A @ B ) @ C @ ( some_val @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[780]) ).
thf(463,axiom,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ B ) @ ( transi808828192on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ D ) @ C )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ D @ B ) @ ( transi808828192on_val @ C ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_838_converse__rtranclE) ).
thf(2470,plain,
! [A: produc1180562163on_val,B: produc1180562163on_val,C: produc618524391on_val > $o] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ B ) @ ( transi808828192on_val @ C ) )
=> ( ( A != B )
=> ~ ! [D: produc1180562163on_val] :
( ( member2042188884on_val @ ( produc747700183on_val @ A @ D ) @ C )
=> ~ ( member2042188884on_val @ ( produc747700183on_val @ D @ B ) @ ( transi808828192on_val @ C ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[463]) ).
thf(80,axiom,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char,F: list_char,G: exp_list_char,H: ty] :
( ( wTrt_1 @ A @ B @ C @ ( fAss_list_char @ D @ E @ F @ G ) @ H )
=> ( ( ( H = void )
=> ! [I: list_char] :
( ( wTrt_1 @ A @ B @ C @ D @ ( class @ I ) )
=> ! [J: ty] :
( ( has_fi1183600461t_char @ A @ I @ E @ J @ F )
=> ! [K: ty] :
( ( wTrt_1 @ A @ B @ C @ G @ K )
=> ~ ( widen_2090681816t_char @ A @ K @ J ) ) ) ) )
=> ~ ( ( H = void )
=> ( ( wTrt_1 @ A @ B @ C @ D @ nt )
=> ! [I: ty] :
~ ( wTrt_1 @ A @ B @ C @ G @ I ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1121_WTrt__elim__cases_I8_J) ).
thf(1069,plain,
! [A: list_P1999446415t_char,B: nat > option1728594148on_val,C: list_char > option_ty,D: exp_list_char,E: list_char,F: list_char,G: exp_list_char,H: ty] :
( ( wTrt_1 @ A @ B @ C @ ( fAss_list_char @ D @ E @ F @ G ) @ H )
=> ( ( ( H = void )
=> ! [I: list_char] :
( ( wTrt_1 @ A @ B @ C @ D @ ( class @ I ) )
=> ! [J: ty] :
( ( has_fi1183600461t_char @ A @ I @ E @ J @ F )
=> ! [K: ty] :
( ( wTrt_1 @ A @ B @ C @ G @ K )
=> ~ ( widen_2090681816t_char @ A @ K @ J ) ) ) ) )
=> ~ ( ( H = void )
=> ( ( wTrt_1 @ A @ B @ C @ D @ nt )
=> ! [I: ty] :
~ ( wTrt_1 @ A @ B @ C @ G @ I ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).
thf(506,axiom,
! [A: $o] :
( null
!= ( bool @ A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1070_val_Osimps_I12_J) ).
thf(2655,plain,
! [A: $o] :
( null
!= ( bool @ A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[506]) ).
thf(232,axiom,
! [A: list_char,B: list_exp_list_char,C: list_val,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ null ) @ H )
=> ( ( evals @ E @ B @ H @ ( map_va1934808527t_char @ val_list_char @ C ) @ D )
=> ( eval @ E @ ( call_list_char @ F @ A @ B ) @ G @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1144_CallNull) ).
thf(1653,plain,
! [A: list_char,B: list_exp_list_char,C: list_val,D: produc2090907612on_val,E: list_P1999446415t_char,F: exp_list_char,G: produc2090907612on_val,H: produc2090907612on_val] :
( ( eval @ E @ F @ G @ ( val_list_char @ null ) @ H )
=> ( ( evals @ E @ B @ H @ ( map_va1934808527t_char @ val_list_char @ C ) @ D )
=> ( eval @ E @ ( call_list_char @ F @ A @ B ) @ G @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[232]) ).
thf(682,axiom,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_974_TryRedsVal) ).
thf(3227,plain,
! [A: list_char,B: list_char,C: exp_list_char,D: exp_list_char,E: produc2090907612on_val,F: val,G: produc2090907612on_val,H: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ D @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( tryCatch_list_char @ D @ A @ B @ C ) @ E ) @ ( produc235638504on_val @ ( val_list_char @ F ) @ G ) ) @ ( transi2118771717on_val @ ( red @ H ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[682]) ).
thf(108,axiom,
! [A: list_char > option_ty,B: list_char,C: ty] :
( ( ( A @ B )
= ( some_ty @ C ) )
=> ( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) )
= A ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_map__upd__triv) ).
thf(1184,plain,
! [A: list_char > option_ty,B: list_char,C: ty] :
( ( ( A @ B )
= ( some_ty @ C ) )
=> ( ( fun_up424764369ion_ty @ A @ B @ ( some_ty @ C ) )
= A ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[108]) ).
thf(736,axiom,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val] :
( ( ( produc755559506on_val @ A @ B )
= ( produc755559506on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_129_Pair__eq) ).
thf(3405,plain,
! [A: nat > option1728594148on_val,B: list_char > option_val,C: nat > option1728594148on_val,D: list_char > option_val] :
( ( ( produc755559506on_val @ A @ B )
= ( produc755559506on_val @ C @ D ) )
= ( ( A = C )
& ( B = D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[736]) ).
thf(706,axiom,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( seq_list_char @ D @ A ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_646_SeqReds) ).
thf(3316,plain,
! [A: exp_list_char,B: exp_list_char,C: produc2090907612on_val,D: exp_list_char,E: produc2090907612on_val,F: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ B @ C ) @ ( produc235638504on_val @ D @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) )
=> ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ ( seq_list_char @ B @ A ) @ C ) @ ( produc235638504on_val @ ( seq_list_char @ D @ A ) @ E ) ) @ ( transi2118771717on_val @ ( red @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[706]) ).
thf(378,axiom,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( ( produc943465171t_char @ A @ B )
= ( produc943465171t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_73_Pair__inject) ).
thf(2170,plain,
! [A: exp_list_char,B: exp_list_char,C: exp_list_char,D: exp_list_char] :
( ( ( produc943465171t_char @ A @ B )
= ( produc943465171t_char @ C @ D ) )
=> ~ ( ( A = C )
=> ( B != D ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[378]) ).
thf(307,axiom,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: produc2090907612on_val] : ( redp @ A @ ( fAcc_list_char @ ( val_list_char @ null ) @ B @ C ) @ D @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1047_redp__redsp_ORedFAccNull) ).
thf(1912,plain,
! [A: list_P1999446415t_char,B: list_char,C: list_char,D: produc2090907612on_val] : ( redp @ A @ ( fAcc_list_char @ ( val_list_char @ null ) @ B @ C ) @ D @ ( throw_list_char @ ( val_list_char @ ( addr @ ( addr_of_sys_xcpt @ nullPointer ) ) ) ) @ D ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[307]) ).
thf(606,axiom,
! [A: list_char > option_ty,B: ty,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( ( wTrt_1 @ G @ ( hp @ D ) @ A @ C @ B )
=> ( ( typeSa816273224_sconf @ G @ A @ D )
=> ( typeSa816273224_sconf @ G @ A @ F ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_270_red__preserves__sconf) ).
thf(2980,plain,
! [A: list_char > option_ty,B: ty,C: exp_list_char,D: produc2090907612on_val,E: exp_list_char,F: produc2090907612on_val,G: list_P1999446415t_char] :
( ( member1913460000on_val @ ( produc833389609on_val @ ( produc235638504on_val @ C @ D ) @ ( produc235638504on_val @ E @ F ) ) @ ( red @ G ) )
=> ( ( wTrt_1 @ G @ ( hp @ D ) @ A @ C @ B )
=> ( ( typeSa816273224_sconf @ G @ A @ D )
=> ( typeSa816273224_sconf @ G @ A @ F ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[606]) ).
thf(64,axiom,
! [A: list_exp_list_char,B: list_ty,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: list_P1999446415t_char,J: nat > option1728594148on_val,K: list_char > option_ty,L: exp_list_char,M: list_char] :
( ( wTrt_1 @ I @ J @ K @ L @ ( class @ M ) )
=> ( ( method1809630380t_char @ I @ M @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( wTrts_1 @ I @ J @ K @ A @ B )
=> ( ( list_all2_ty_ty @ ( widen_2090681816t_char @ I ) @ B @ D )
=> ( wTrt_1 @ I @ J @ K @ ( call_list_char @ L @ C @ A ) @ E ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1191_WTrtCall) ).
thf(1014,plain,
! [A: list_exp_list_char,B: list_ty,C: list_char,D: list_ty,E: ty,F: list_list_char,G: exp_list_char,H: list_char,I: list_P1999446415t_char,J: nat > option1728594148on_val,K: list_char > option_ty,L: exp_list_char,M: list_char] :
( ( wTrt_1 @ I @ J @ K @ L @ ( class @ M ) )
=> ( ( method1809630380t_char @ I @ M @ C @ D @ E @ ( produc1147572817t_char @ F @ G ) @ H )
=> ( ( wTrts_1 @ I @ J @ K @ A @ B )
=> ( ( list_all2_ty_ty @ ( widen_2090681816t_char @ I ) @ B @ D )
=> ( wTrt_1 @ I @ J @ K @ ( call_list_char @ L @ C @ A ) @ E ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).
thf(53,axiom,
! [A: exp_list_char,B: ty,C: list_char,D: ty,E: list_char,F: list_P1999446415t_char,G: nat > option1728594148on_val,H: list_char > option_ty,I: exp_list_char,J: list_char] :
( ( wTrt @ F @ G @ H @ I @ ( class @ J ) )
=> ( ( has_fi1183600461t_char @ F @ J @ C @ D @ E )
=> ( ( wTrt @ F @ G @ H @ A @ B )
=> ( ( widen_2090681816t_char @ F @ B @ D )
=> ( wTrt @ F @ G @ H @ ( fAss_list_char @ I @ C @ E @ A ) @ void ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_1028_WTrt_H__WTrts_H_Ointros_I10_J) ).
thf(972,plain,
! [A: exp_list_char,B: ty,C: list_char,D: ty,E: list_char,F: list_P1999446415t_char,G: nat > option1728594148on_val,H: list_char > option_ty,I: exp_list_char,J: list_char] :
( ( wTrt @ F @ G @ H @ I @ ( class @ J ) )
=> ( ( has_fi1183600461t_char @ F @ J @ C @ D @ E )
=> ( ( wTrt @ F @ G @ H @ A @ B )
=> ( ( widen_2090681816t_char @ F @ B @ D )
=> ( wTrt @ F @ G @ H @ ( fAss_list_char @ I @ C @ E @ A ) @ void ) ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).
thf(541,axiom,
! [A: list_P1999446415t_char,B: list_char,C: val,D: nat > option1728594148on_val,E: list_char > option_val] : ( redp @ A @ ( lAss_list_char @ B @ ( val_list_char @ C ) ) @ ( produc755559506on_val @ D @ E ) @ ( val_list_char @ unit ) @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ B @ ( some_val @ C ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_592_redp__redsp_ORedLAss) ).
thf(2771,plain,
! [A: list_P1999446415t_char,B: list_char,C: val,D: nat > option1728594148on_val,E: list_char > option_val] : ( redp @ A @ ( lAss_list_char @ B @ ( val_list_char @ C ) ) @ ( produc755559506on_val @ D @ E ) @ ( val_list_char @ unit ) @ ( produc755559506on_val @ D @ ( fun_up1149430426on_val @ E @ B @ ( some_val @ C ) ) ) ),
inference(defexp_and_simp_and_etaexpand,[status(thm)],[541]) ).
thf(3607,plain,
$false,
inference(e,[status(thm)],[1665,2452,1337,1024,1823,1633,1767,2412,1031,1840,1315,962,941,1295,2280,3172,3185,2104,1290,2622,2808,3417,1618,3098,1269,2380,2854,2077,3534,3072,1005,2395,2908,3377,3040,1422,2947,2248,1544,2014,3012,1205,2282,1591,1041,3382,2195,1655,3120,1137,2686,3135,2918,2184,2141,2476,945,930,1458,2575,1788,1426,3217,3530,2434,1872,1919,3253,2459,3414,1342,913,1954,2844,1095,2216,1914,1782,3502,2020,2010,1650,3281,2082,1366,2516,2869,1887,2957,1746,3103,2348,3545,2723,2400,1967,1904,1703,1228,1254,1628,3204,3425,2735,2269,3495,2501,1860,3485,802,1455,3089,2703,3195,3029,2039,3275,3131,1298,1323,3148,2682,3125,1826,1462,1132,949,2571,3099,1147,1890,2767,1641,1815,3180,2388,1100,1847,1922,817,2691,2713,3517,1892,3385,3463,1379,969,2373,3312,1931,2852,3231,2456,2950,2996,2259,2650,1418,3473,2925,937,3569,3290,2335,3152,2073,1051,1714,2027,1811,1450,1109,2893,1682,834,2291,1020,2254,3389,1843,2437,877,1351,3243,3327,1405,1600,1242,2392,1975,2762,2833,3189,3036,2530,1345,2286,1943,1201,1696,2586,2982,1863,3229,920,3459,2910,3567,1306,1199,2737,1057,2047,3318,1311,2232,2307,2905,2382,3550,2773,2589,2705,2805,2541,2277,1123,2147,820,3069,3371,3154,3207,1900,1723,910,1174,1676,2133,788,1370,2986,815,2414,3250,3471,3286,1602,2670,852,1178,2200,889,1159,2345,1128,2741,2112,974,2769,916,3271,3191,1938,3198,879,3137,3499,3065,3349,3556,2872,1951,2068,1819,1624,1392,2228,3408,1740,2653,1106,1936,1541,1851,1804,2895,1328,1498,3078,3001,874,1143,1762,2100,1970,1111,2709,2858,2537,3237,1755,2638,1118,3087,3018,3141,3143,1361,1659,2561,2830,3094,2419,1424,3032,3428,1016,2666,2781,1493,2798,1028,2023,1292,933,2053,2240,2108,1446,1612,2978,3294,1744,837,2519,2304,2465,2566,1947,2813,3115,2272,2756,2370,2968,1114,2450,1588,1530,2836,2845,3059,1266,2900,3222,3540,1429,3247,3109,1979,3074,3083,3201,3225,3563,805,2043,2617,2662,794,1732,2749,1434,1991,2788,1318,792,2203,2057,1054,1187,2915,2408,1663,3508,1895,2645,1616,1278,2677,1680,1103,2717,1483,1273,2941,1548,3262,3375,3158,2144,906,965,1510,3358,2275,1154,3187,2727,2938,2849,2188,1752,1929,3266,2991,1403,2959,2225,3504,1884,1784,1389,3255,843,1125,1707,2891,787,1239,2759,1765,2425,1258,947,3170,3118,2220,1897,2557,2510,3101,2679,831,2478,1011,1048,2097,2246,1801,2378,2065,2079,2311,1209,3352,2151,2642,3038,2422,2257,996,2284,1933,2856,2802,1571,1376,3219,2182,1471,3133,2343,1821,799,848,2874,3483,2664,2553,2974,1667,2180,1339,3027,1630,1993,2410,2923,1460,2647,3150,2842,1061,2075,959,827,2086,1643,883,3241,3363,1496,2999,2207,1973,3380,1594,1699,3423,1044,1245,2481,2931,986,2288,2244,1000,2005,1034,2952,2614,1758,2994,1420,2037,2234,2927,3455,2333,3292,823,1551,3395,2784,2878,2503,1134,3146,2513,2397,3112,2060,1605,1252,1780,2720,1798,3391,1003,1770,2375,1156,2192,887,1098,2888,2569,2454,2920,3344,1869,840,2337,1830,1579,1738,2468,1711,3080,2747,1432,2165,1813,1300,1452,1637,2688,3273,3334,3475,2429,1262,1235,1538,2701,808,1849,3493,1284,1353,1749,1670,2860,1717,2939,1372,3398,1536,1981,2543,3356,2579,864,1585,978,1140,3520,3366,3400,3433,3139,3452,2088,3092,1685,1553,1321,903,3548,1412,1517,2611,2865,3168,1940,3284,845,2626,3457,2352,3067,1180,2870,2828,2743,3346,3320,1575,1866,2775,1734,2792,1807,1326,2707,2167,1476,1639,2251,2135,2532,3085,3465,1276,1385,1721,813,2988,3561,2608,3235,2431,3003,2764,1523,2130,3331,3368,1689,3324,2462,2198,2162,1513,2902,2315,2447,2944,2384,2786,2912,2041,3430,1777,899,1661,2230,2294,1309,2494,1442,2218,1348,1774,1957,3511,2155,967,1395,3373,1480,3062,3469,1908,2003,2815,854,2008,1303,3337,1673,1248,790,2050,1363,3277,3558,3177,1197,2404,3506,2063,796,2549,2751,2800,1693,2070,3479,2417,2223,1473,2619,1065,2340,1165,3128,3025,3543,1152,1532,3360,1582,3489,1500,2484,1621,1120,2138,2159,2810,2898,3411,1357,2583,3538,1925,1597,982,3526,2754,3461,2563,1009,2018,1037,1416,3553,2470,1069,2655,1653,3227,1184,3405,3316,2170,1912,2980,1014,972,2771]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW478^3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.08 % Command : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.10/0.22 % Computer : n013.cluster.edu
% 0.10/0.22 % Model : x86_64 x86_64
% 0.10/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.22 % Memory : 8046.5625MB
% 0.10/0.22 % OS : Linux 6.8.0-71-generic
% 0.10/0.22 % CPULimit : 300
% 0.10/0.22 % WCLimit : 300
% 0.10/0.22 % DateTime : Tue Sep 29 16:07:28 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.02/0.84 % [INFO] Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 3.14/1.46 % [INFO] Parsing done (617ms).
% 3.14/1.48 % [INFO] Running in sequential loop mode.
% 4.25/1.89 % [INFO] eprover registered as external prover.
% 4.25/1.89 % [INFO] Scanning for conjecture ...
% 5.13/2.18 % [INFO] Found a conjecture (or negated_conjecture) and 1200 axioms. Running axiom selection ...
% 6.60/2.59 % [INFO] Axiom selection finished. Selected 784 axioms (removed 416 axioms).
% 10.17/3.56 % [INFO] Problem is higher-order (TPTP THF).
% 10.59/3.67 % [INFO] Type checking passed.
% 10.59/3.67 % [CONFIG] Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>. Searching for refutation ...
% 16.40/5.19 % [INFO] [Domain constraints] Detected constraint on bop
% 16.40/5.19 % [INFO] [Domain constraints] dom(bop) ⊆ {c_Expr_Obop_OEq,add}
% 49.63/13.01 % External prover 'e' found a proof!
% 49.63/13.01 % [INFO] Killing All external provers ...
% 49.63/13.01 % Time passed: 12637ms (effective reasoning time: 11518ms)
% 49.63/13.01 % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 49.63/13.02 % Axioms used in derivation (784): fact_707_set__rev__mp, fact_350_red__hext__incr, fact_1193_wts_H__iff__wts, fact_353_option_Oinject, fact_617_not__Some__eq, fact_1049_ThrowRedsNull, fact_604_option_Osimps_I2_J, fact_642_map__upd__nonempty, fact_929_redp__redsp_OFAssThrow2, fact_1189_blocksEval, fact_214_fun__upd__upd, fact_653_red__reds_OBlockRedNone, fact_1005_eval__cases_I3_J, fact_436_curry__split, fact_957_redp__redsp_OBinOpThrow1, fact_218_fun__upd__idem__iff, fact_294_pred__equals__eq2, fact_321_PairE, fact_974_TryRedsVal, fact_681_rtrancl__subset, fact_9_map__upd__Some__unfold, fact_893_redp__redsp_OFAssRed1, fact_1065_val_Osimps_I21_J, fact_459_map__add__upd__left, fact_1059_ty_Osimps_I8_J, fact_1172_WTrts__hext__mono, fact_1090_eval__cases_I11_J, fact_1197_WTrt_H__WTrts_H_Ointros_I15_J, fact_1146_extend__evals, fact_44_prod__cases4, fact_1081_bop_Osimps_I2_J, fact_64_Pair__inject, fact_1031_red__reds_ORedFAccNull, fact_792_option_Oexhaust, fact_67_Pair__inject, fact_834_rtranclE, fact_1070_val_Osimps_I12_J, fact_1032_val_Osimps_I5_J, fact_889_eval__finalId, fact_1019_WTrt_H__WTrts_H_Ointros_I3_J, fact_94_Pair__inject, fact_48_prod__cases4, fact_1080_bop_Oexhaust, fact_1170_reds__preserves__sconf, fact_189_fun__upd__def, fact_554_lconf__def, fact_635_empty__upd__none, fact_622_not__None__eq, fact_1098_CondT, fact_850_big__by__small, fact_1033_val_Osimps_I4_J, fact_963_redp__redsp_OBinOpThrow2, fact_196_fun__upd__other, fact_1002_CastFail, fact_739_subsetI, fact_470_map__add__find__right, fact_1096_red__reds_OCondRed, fact_609_option_Osimps_I3_J, fact_666_r__into__rtrancl, fact_1042_ThrowNull, fact_927_eval__evals_OFAssThrow2, fact_1134_red__reds_ORedCallNull, fact_374_lconf__upd, fact_1034_val_Osimps_I16_J, fact_755_converse__rtranclE2, fact_899_FAssReds2, fact_496_curryE, fact_15_map__upd__eqD1, fact_1123_eval__cases_I10_J, fact_827_order__eq__iff, fact_654_Red__lcl__add, fact_17_map__upd__eqD1, fact_1154_fv__fvs_Osimps_I9_J, fact_519_internal__split__def, fact_970_TryThrow, fact_848_eval__notfree__unchanged, fact_818_xt1_I5_J, fact_912_redp__redsp_OThrowRed, fact_1068_val_Osimps_I6_J, fact_643_redp__redsp_ORedBlock, fact_984_fv__fvs_Osimps_I2_J, fact_1142_CallRedsThrowObj, fact_995_red__reds_ORedCast, fact_1110_ty_Osimps_I20_J, fact_115_Pair__eq, fact_457_red__reds_ORedSeq, fact_295_pred__equals__eq2, fact_50_prod__cases4, fact_563_WTrt__hext__mono, fact_36_prod__induct4, fact_639_map__upd__nonempty, fact_2_fun__upd__triv, fact_135_Pair__eq, fact_205_fun__upd__apply, fact_1027_WTrt_H__WTrts_H_Ointros_I22_J, fact_968_red__reds_ORedTry, fact_993_preallocated__hext, fact_283_pred__equals__eq2, fact_86_Pair__inject, fact_788_rtrancl__induct2, fact_918_eval__evals_OSeqThrow, fact_961_red__reds_OBinOpRed1, fact_111_Pair__eq, fact_741_converse__rtranclE2, fact_477_mem__def, fact_1060_ty_Oinject, fact_0_InitBlockRed_I3_J, fact_323_PairE, fact_1111_ty_Osimps_I21_J, fact_1053_redp__redsp_ORedTryCatch, fact_1151_red__reds_OCallParams, fact_1130_redp__redsp_ORedNewFail, fact_461_map__add__upd__left, fact_655_WTrt__elim__cases_I1_J, fact_272_pred__equals__eq2, fact_1171_WTrtCons, fact_570_exp_Osimps_I196_J, fact_326_PairE, fact_219_widen__refl, fact_1161_ListReds2, fact_1136_CallObjThrow, fact_1006_binop_Osimps_I7_J, fact_5_fun__upd__triv, fact_92_Pair__inject, fact_312_prod_Oexhaust, fact_1191_WTrtCall, fact_197_fun__upd__other, fact_85_Pair__inject, fact_199_fun__upd__twist, fact_107_Pair__eq, fact_282_pred__equals__eq2, fact_913_fv__fvs_Osimps_I14_J, fact_171_split__paired__All, fact_427_split__weak__cong, fact_35_prod__induct4, fact_1127_new__Addr__SomeD, fact_226_prod__cases3, fact_13_map__upd__triv, fact_583_exp_Osimps_I145_J, fact_958_Try, fact_630_redp__redsp_OBlockRedNone, fact_161_split__paired__All, fact_578_exp_Osimps_I85_J, fact_938_LAssRedsThrow, fact_38_prod__induct4, fact_1104_red__reds_ORedCondT, fact_462_red__reds_ORedBlock, fact_1114_WTrtFAccNT, fact_194_fun__upd__idem, fact_824_ord__eq__le__trans, fact_665_r__into__rtrancl, fact_947_val_Osimps_I11_J, fact_1046_redp__redsp_ORedFAssNull, fact_250_prod__induct3, fact_999_CastRedsFail, fact_262_prod__induct3, fact_980_preallocated__upd__obj, fact_1020_WTrt_H__WTrts_H_Ointros_I18_J, fact_619_not__None__eq, fact_432_map__add__assoc, fact_898_FAssReds1, fact_967_BinOp1Reds, fact_960_fv__fvs_Osimps_I4_J, fact_1147_bigs__by__smalls, fact_978_preallocated__new, fact_616_not__Some__eq, fact_988_red__reds_OCastRed, fact_689_the_Osimps, fact_1044_FAssNull, fact_1156_eval__evals_OCons, fact_251_prod__induct3, fact_935_redp__redsp_OBlockThrow, fact_223_prod__cases3, fact_347_widen__trans, fact_464_domI, fact_324_PairE, fact_875_Un__absorb, fact_842_converse__rtrancl__induct, fact_975_red__reds_ORedTryFail, fact_1198_blocksRedsFinal, fact_756_converse__rtranclE2, fact_572_exp_Osimps_I3_J, fact_330_PairE, fact_1116_is__refT__def, fact_717_hext__new, fact_211_fun__upd__upd, fact_51_prod__cases4, fact_1088_WhileTReds, fact_238_prod__cases3, fact_116_Pair__eq, fact_610_option_Osimps_I3_J, fact_1183_CallRedsFinal, fact_1099_redp__redsp_ORedCondF, fact_969_TryReds, fact_229_prod__cases3, fact_636_map__add__empty, fact_651_hconfD, fact_32_prod__induct4, fact_894_redp__redsp_OFAssRed2, fact_1001_redp__redsp_ORedBinOp, fact_852_small__by__big, fact_585_exp_Osimps_I197_J, fact_577_exp_Osimps_I74_J, fact_296_pred__equals__eq2, fact_252_prod__induct3, fact_1055_redp__redsp_ORedTryFail, fact_63_Pair__inject, fact_997_final__addrE, fact_1051_finalRefE, fact_644_map__add__SomeD, fact_1163_CallParamsThrow, fact_646_SeqReds, fact_823_xt1_I3_J, fact_888_eval__final, fact_299_prod_Oexhaust, fact_1035_val_Osimps_I17_J, fact_1079_WhileCondThrow, fact_33_prod__induct4, fact_203_fun__upd__apply, fact_906_FAcc, fact_1094_redp__redsp_OCondThrow, fact_304_prod_Oexhaust, fact_1131_red__reds_ORedNew, fact_1097_CondF, fact_469_split__conv, fact_564_hext__upd__obj, fact_693_equalityD2, fact_210_fun__upd__same, fact_908_redp__redsp_OFAccThrow, fact_6_assms, fact_602_pred__subset__eq, fact_54_InitBlockRed_I4_J, fact_1121_WTrt__elim__cases_I8_J, fact_456_lconf__hext, fact_1014_binop_Osimps_I10_J, fact_638_redp__redsp_ORedSeq, fact_884_fv__fvs_Osimps_I11_J, fact_1164_red__reds_OCallThrowParams, fact_740_subsetI, fact_1007_binop_Osimps_I3_J, fact_1047_redp__redsp_ORedFAccNull, fact_1052_eval__cases_I12_J, fact_421_splitI, fact_308_prod_Oexhaust, fact_589_WTrtLAss, fact_987_WTrtFAcc, fact_648_redp__redsp_OBlockRedSome, fact_313_prod_Oexhaust, fact_678_rtrancl__mono, fact_902_red__reds_ORedFAss, fact_718_rtrancl__idemp, fact_831_wf__prog__wwf__prog, fact_1037_redp__redsp_ORedCastNull, fact_706_set__rev__mp, fact_840_converse__rtranclE, fact_836_rtranclE, fact_921_redp__redsp_OSeqThrow, fact_657_InitBlockRedsFinal, fact_431_map__add__dom__app__simps_I2_J, fact_994_Cast, fact_724_converse__rtrancl__into__rtrancl, fact_534_splitE, fact_873_sup1E, fact_1112_ty_Osimps_I7_J, fact_714_set__mp, fact_668_equalityI, fact_943_redp__redsp_OInitBlockThrow, fact_71_Pair__inject, fact_965_red__reds_OBinOpRed2, fact_1129_NewFail, fact_1022_wt_H__wt, fact_1185_red__reds_ORedCall, fact_887_Red__dom__lcl, fact_1199_blocksReds, fact_355_option_Oinject, fact_632_empty__upd__none, fact_660_rtrancl_Ortrancl__refl, fact_454_splitD, fact_985_eval__evals_OCastThrow, fact_1015_typeof__OutOfMemory, fact_406_prod__caseI, fact_109_Pair__eq, fact_656_InitBlockReds, fact_4_fun__upd__triv, fact_1039_CastRedsNull, fact_900_FAss, fact_890_eval__cases_I8_J, fact_903_FAccRedsVal, fact_715_subset__trans, fact_215_fun__upd__idem__iff, fact_1138_redp__redsp_OCallThrowObj, fact_170_split__paired__All, fact_797_rtrancl__induct, fact_315_PairE, fact_565_hext__trans, fact_371_curryI, fact_26_prod__cases5, fact_1064_binop_Osimps_I9_J, fact_429_map__add__dom__app__simps_I3_J, fact_1083_fv__fvs_Osimps_I13_J, fact_516_map__add__upd, fact_826_order__eq__refl, fact_88_Pair__inject, fact_1013_binop_Osimps_I6_J, fact_1145_extend__1__evals, fact_973_BinOpRedsThrow1, fact_348_InitBlockRed_I5_J, fact_688_the_Osimps, fact_855_eval__lcl__incr, fact_674_subsetD, fact_303_prod_Oexhaust, fact_591_hextI, fact_954_redp__redsp_OTryRed, fact_142_Pair__eq, fact_159_split__paired__All, fact_551_splitI2, fact_690_subset__refl, fact_128_Pair__eq, fact_864_UnE, fact_816_pred__subset__eq2, fact_611_option_Osimps_I3_J, fact_202_fun__upd__twist, fact_1150_evals__lcl__incr, fact_1179_redp__redsp_OListRed2, fact_256_prod__induct3, fact_1135_redp__redsp_ORedCallNull, fact_798_rtrancl__induct, fact_621_not__None__eq, fact_971_red__reds_OBinOpThrow2, fact_804_pred__subset__eq2, fact_936_FAccReds, fact_47_prod__cases4, fact_945_eval__cases_I9_J, fact_390_in__lex__prod, fact_1165_ListReds1, fact_658_assigned__def, fact_439_conf__widen, fact_314_prod_Oexhaust, fact_757_converse__rtrancl__induct2, fact_169_split__paired__All, fact_209_fun__upd__same, fact_937_red__reds_OFAssThrow2, fact_1071_val_Osimps_I13_J, fact_773_rtrancl__induct2, fact_615_not__Some__eq, fact_481_red__reds_OSeqRed, fact_1178_blocks_Osimps_I1_J, fact_956_redp__redsp_OBinOpRed2, fact_240_prod__cases3, fact_1181_redp__redsp_OCallParams, fact_1186_redp__redsp_ORedCall, fact_375_lconf__upd2, fact_1086_WhileF, fact_1009_WTrtVal, fact_641_map__upd__nonempty, fact_972_BinOp2Reds, fact_117_Pair__eq, fact_720_rtrancl__idemp, fact_675_subsetD, fact_1023_wt_H__iff__wt, fact_1010_hext__typeof__mono, fact_25_prod__cases5, fact_592_redp__redsp_ORedLAss, fact_535_splitE, fact_721_hconf__new, fact_87_Pair__inject, fact_911_redp__redsp_OThrowThrow, fact_89_Pair__inject, fact_138_Pair__eq, fact_346_split__paired__Ex, fact_1069_val_Osimps_I7_J, fact_989_red__reds_OCastThrow, fact_513_curryD, fact_270_red__preserves__sconf, fact_568__092_060D_062___092_060D_062s_Osimps_I6_J, fact_129_Pair__eq, fact_1100_redp__redsp_ORedCondT, fact_307_prod_Oexhaust, fact_924_red__reds_OThrowThrow, fact_1107_redp__redsp_ORedWhile, fact_264_prod__induct3, fact_1089_WhileTRedsThrow, fact_425_map__add__dom__app__simps_I1_J, fact_514_map__add__upd, fact_1149_reds__hext__incr, fact_941_FAssRedsThrow2, fact_224_prod__cases3, fact_731_rtrancl__trans, fact_691_set__eq__subset, fact_1105_red__reds_ORedCondF, fact_587_redp__redsp_OInitBlockRed, fact_944_eval__cases_I4_J, fact_1103_CondRedsThrow, fact_1174_WTrts__Val, fact_1000_BinOp, fact_966_red__reds_OBinOpThrow1, fact_1082_bop_Osimps_I1_J, fact_872_UnCI, fact_838_converse__rtranclE, fact_624_redp__redsp_OLAssRed, fact_319_PairE, fact_233_prod__cases3, fact_580_exp_Osimps_I82_J, fact_940_FAssRedsThrow1, fact_280_pred__equals__eq2, fact_986_redp__redsp_OCastThrow, fact_793_option_Oexhaust, fact_722_converse__rtrancl__into__rtrancl, fact_1085_WhileBodyThrow, fact_228_prod__cases3, fact_1113_ty_Osimps_I6_J, fact_787_rtrancl__induct2, fact_843_converse__rtrancl__induct, fact_1067_val_Osimps_I1_J, fact_1076_preallocated__def, fact_1004_red__reds_ORedBinOp, fact_772_converse__rtrancl__induct2, fact_996_WTrt__elim__cases_I5_J, fact_253_prod__induct3, fact_858_Reds__dom__lcl, fact_895_fv__fvs_Osimps_I8_J, fact_65_Pair__inject, fact_586_hconf__upd__obj, fact_1074_preallocatedE, fact_576_exp_Osimps_I84_J, fact_248_prod__induct3, fact_815_pred__subset__eq2, fact_1148_evals__hext, fact_949_TryCatchRedsFinal, fact_844_converse__rtrancl__induct, fact_819_order__trans, fact_552_splitI2, fact_134_Pair__eq, fact_562_splitE2, fact_356_option_Oinject, fact_391_in__lex__prod, fact_948_val_Osimps_I3_J, fact_892_FAssRedsVal, fact_136_Pair__eq, fact_1024_WTrt_H__WTrts_H_Ointros_I21_J, fact_1087_WhileRedsThrow, fact_84_Pair__inject, fact_512_curryD, fact_992_CastRedsThrow, fact_605_option_Osimps_I2_J, fact_909_eval__evals_OFAccThrow, fact_758_converse__rtrancl__induct2, fact_247_prod__induct3, fact_14_map__upd__triv, fact_594_lconf__empty, fact_983_redp__redsp_OCastRed, fact_249_prod__induct3, fact_1188_blocksFinal, fact_566_hext__objD, fact_607_option_Osimps_I2_J, fact_771_converse__rtrancl__induct2, fact_212_fun__upd__upd, fact_1166_ListRedsVal, fact_49_prod__cases4, fact_633_empty__upd__none, fact_1140_red__reds_OCallThrowObj, fact_925_red__reds_OThrowRed, fact_625_redp__redsp_OSeqRed, fact_1153_CallRedsThrowParams, fact_915_fv__fvs_Osimps_I7_J, fact_891_eval__restrict__lcl, fact_730_rtrancl__trans, fact_871_UnCI, fact_220_red__preserves__hconf, fact_1141_CallRedsObj, fact_774_rtrancl__induct2, fact_131_Pair__eq, fact_854_Block, fact_847_big__iff__small, fact_791_option_Oexhaust, fact_931_ThrowRedsThrow, fact_964_red__reds_OTryRed, fact_839_converse__rtranclE, fact_198_fun__upd__other, fact_376_in__lex__prod, fact_1192_WTrt_H__WTrts_H_Ointros_I12_J, fact_833_Red__fv, fact_885_eval__cases_I2_J, fact_158_split__paired__All, fact_645_map__add__Some__iff, fact_942_red__reds_OBlockThrow, fact_405_prod__caseI, fact_21_prod__induct5, fact_629_domIff, fact_81_Pair__inject, fact_370_curryI, fact_1160_list__eval__Throw, fact_1012_typeof__h_Osimps_I1_J, fact_659_rtrancl_Ortrancl__refl, fact_790_option_Oexhaust, fact_1091_red__reds_ORedWhile, fact_575_exp_Osimps_I10_J, fact_83_Pair__inject, fact_221_red__preserves__lconf, fact_206_fun__upd__apply, fact_550_splitI2, fact_835_rtranclE, fact_732_rtrancl__trans, fact_1157_ConsThrow, fact_1167_evals__cases_I2_J, fact_133_Pair__eq, fact_959_redp__redsp_ORedTry, fact_1093_eval__evals_OCondThrow, fact_1196_WTrt_H__WTrts_H_Ointros_I13_J, fact_1143_CallRedsNull, fact_45_prod__cases4, fact_281_pred__equals__eq2, fact_700_in__mono, fact_108_Pair__eq, fact_227_prod__cases3, fact_946_val_Osimps_I10_J, fact_305_prod_Oexhaust, fact_982_WTrtTry, fact_1045_FAccNull, fact_857_Seq, fact_320_PairE, fact_345_split__paired__Ex, fact_480_red__reds_OLAssRed, fact_1115_WTrt_H__WTrts_H_Ointros_I9_J, fact_825_order__antisym__conv, fact_573_exp_Osimps_I11_J, fact_822_ord__le__eq__trans, fact_438_red__reds_ORedInitBlock, fact_437_split__part, fact_905_redp__redsp_ORedFAcc, fact_377_in__lex__prod, fact_31_prod__induct4, fact_520_WTrtBlock, fact_856_eval__hext, fact_1133_New, fact_351_red__preserves__defass, fact_1028_WTrt_H__WTrts_H_Ointros_I10_J, fact_962_eval__evals_OBinOpThrow2, fact_1018_WTrt_H__WTrts_H_Ointros_I16_J, fact_684_rtrancl__subset__rtrancl, fact_325_PairE, fact_216_fun__upd__idem__iff, fact_932_red__reds_OLAssThrow, fact_1029_FAccRedsNull, fact_953_redp__redsp_OBinOpRed1, fact_10_map__upd__Some__unfold, fact_579_exp_Osimps_I75_J, fact_90_Pair__inject, fact_910_eval__evals_OThrowThrow, fact_603_pred__subset__eq, fact_727_rtrancl_Ortrancl__into__rtrancl, fact_692_equalityD1, fact_130_Pair__eq, fact_631_map__add__None, fact_453_splitD, fact_1102_CondReds, fact_1173_WTrtCallNT, fact_191_fun__upd__idem, fact_713_set__mp, fact_22_prod__induct5, fact_515_map__add__upd, fact_98_Pair__inject, fact_952_TryRedsFail, fact_497_curryE, fact_950_WTrtThrow, fact_817_xt1_I6_J, fact_569_exp_Osimps_I143_J, fact_567_hext__def, fact_571_exp_Osimps_I142_J, fact_955_eval__evals_OBinOpThrow1, fact_407_prod__caseI, fact_1011_typeof__lit__typeof, fact_1063_sys__xcpts__cases, fact_1175_reds__preserves__hconf, fact_1158_red__reds_OListRed2, fact_1118_WTrt_H__WTrts_H_Ointros_I11_J, fact_12_map__upd__triv, fact_596_predicate1D, fact_232_prod__cases3, fact_1194_wts_H__wts, fact_1021_wt__wt_H, fact_225_prod__cases3, fact_352_option_Oinject, fact_309_prod_Oexhaust, fact_904_red__reds_ORedFAcc, fact_1054_redp__redsp_ORedCast, fact_127_Pair__eq, fact_372_curryI, fact_1030_FAssRedsNull, fact_933_red__reds_OSeqThrow, fact_311_prod_Oexhaust, fact_1190_wt__blocks, fact_1120_WTrt__elim__cases_I7_J, fact_423_splitI, fact_495_curryE, fact_1077_binop_Osimps_I1_J, fact_849_extend__1__eval, fact_173_split__paired__All, fact_16_map__upd__eqD1, fact_37_prod__induct4, fact_213_fun__upd__upd, fact_939_SeqRedsThrow, fact_998_BinOpRedsVal, fact_606_option_Osimps_I2_J, fact_517_map__add__upd, fact_114_Pair__eq, fact_1066_val_Osimps_I20_J, fact_192_fun__upd__idem, fact_726_rtrancl_Ortrancl__into__rtrancl, fact_821_xt1_I4_J, fact_742_converse__rtranclE2, fact_1095_fv__fvs_Osimps_I12_J, fact_663_BlockRedsFinal, fact_917_FAccRedsThrow, fact_422_splitI, fact_1108_CondReds2T, fact_1144_CallNull, fact_3_fun__upd__triv, fact_1_InitBlockRed_I1_J, fact_93_Pair__inject, fact_271_pred__equals__eq2, fact_930_ThrowReds, fact_882_Un__def, fact_536_splitE, fact_239_prod__cases3, fact_349_sconf__def, fact_1132_redp__redsp_ORedNew, fact_634_empty__upd__none, fact_979_red__reds_ORedTryCatch, fact_556_hext__refl, fact_590_LAssRedsVal, fact_18_map__upd__eqD1, fact_467_prod_Osimps_I2_J, fact_322_PairE, fact_172_split__paired__All, fact_795_order__refl, fact_881_Un__def, fact_1003_red__reds_ORedCastFail, fact_1078_WhileFReds, fact_20_prod__induct5, fact_43_prod__cases4, fact_1180_redp__redsp_OListRed1, fact_1101_red__reds_OCondThrow, fact_647_LAssReds, fact_990_CastReds, fact_719_rtrancl__idemp, fact_685_the_Osimps, fact_8_map__upd__Some__unfold, fact_1184_Call, fact_260_prod__induct3, fact_1048_red__reds_ORedThrowNull, fact_208_fun__upd__same, fact_344_split__paired__Ex, fact_588_red__reds_OBlockRedSome, fact_465_red__reds_OInitBlockRed, fact_627_dom__def, fact_896_red__reds_OFAssRed1, fact_511_curryD, fact_920_eval__evals_OFAssThrow1, fact_204_fun__upd__apply, fact_257_prod__induct3, fact_832_wf__mdecl__wwf__mdecl, fact_934_red__reds_OFAssThrow1, fact_916_red__reds_OFAccThrow, fact_640_map__upd__nonempty, fact_796_rtrancl__induct, fact_914_redp__redsp_OFAccRed, fact_193_fun__upd__idem, fact_853_LAss, fact_923_redp__redsp_OFAssThrow1, fact_1139_red__reds_OCallObj, fact_574_exp_Osimps_I6_J, fact_897_red__reds_OFAssRed2, fact_373_red__lcl__add, fact_327_PairE, fact_919_eval__evals_OLAssThrow, fact_310_prod_Oexhaust, fact_73_Pair__inject, fact_455_splitD, fact_1073_binop_Osimps_I5_J, fact_789_progress, fact_664_oconf__fupd, fact_91_Pair__inject, fact_1040_binop_Osimps_I8_J, fact_981_CastRedsAddr, fact_1152_CallRedsParams, fact_200_fun__upd__twist, fact_883_Un__commute, fact_728_rtrancl_Ortrancl__into__rtrancl, fact_637_empty__map__add, fact_1124_red__reds_ORedNewFail, fact_1016_typeof__NullPointer, fact_1058_ty_Osimps_I9_J, fact_201_fun__upd__twist, fact_195_fun__upd__other, fact_928_red__reds_OFAccRed, fact_1036_CastNull, fact_1056_redp__redsp_ORedCastFail, fact_329_PairE, fact_1122_refTE, fact_1008_typeof__ClassCast, fact_620_not__None__eq, fact_126_Pair__eq, fact_7_map__upd__Some__unfold, fact_1195_wts__wts_H, fact_865_UnE, fact_1050_red__reds_ORedFAssNull, fact_1177_redsp__reds__eq, fact_1041_binop_Osimps_I4_J, fact_475_mem__def, fact_951_BinOpRedsThrow2, fact_70_Pair__inject, fact_1106_unfold__while, fact_1075_preallocatedD, fact_558_cond__split__eta, fact_1117_WTrtFAssNT, fact_874_sup1CI, fact_926_Throw, fact_125_Pair__eq, fact_27_prod__cases5, fact_976_TryCatch, fact_132_Pair__eq, fact_1109_CondReds2F, fact_991_WTrtFAss, fact_581_exp_Osimps_I83_J, fact_649_SeqReds2, fact_907_red__reds_OInitBlockThrow, fact_1092_redp__redsp_OCondRed, fact_553_WTrtSeq, fact_1043_redp__redsp_ORedThrowNull, fact_922_redp__redsp_OLAssThrow, fact_886_Val, fact_1176_reds__preserves__lconf, fact_1162_red__reds_OListRed1, fact_1084_WhileT, fact_820_order__antisym, fact_595_rev__predicate1D, fact_1155_fv__fvs_Osimps_I17_J, fact_187_fun__upd__def, fact_1025_WTrt_H__WTrts_H_Ointros_I8_J, fact_263_prod__induct3, fact_555_red__reds_ORedLAss, fact_593_red__lcl__incr, fact_614_not__Some__eq, fact_82_Pair__inject, fact_217_fun__upd__idem__iff, fact_667_r__into__rtrancl, fact_476_mem__def, fact_582__092_060D_062___092_060D_062s_Osimps_I3_J, fact_1159_redp__redsp_OCallThrowParams, fact_137_Pair__eq, fact_661_rtrancl_Ortrancl__refl, fact_190_fun__upd__def, fact_354_option_Oinject, fact_473_mem__def, fact_716_equalityE, fact_1038_red__reds_ORedCastNull, fact_686_the_Osimps, fact_328_PairE, fact_650_redp__red__eq, fact_1137_redp__redsp_OCallObj, fact_584_exp_Osimps_I144_J, fact_306_prod_Oexhaust, fact_39_prod__induct4, fact_11_map__upd__triv, fact_901_redp__redsp_ORedFAss, fact_479_split__eta, fact_1026_WTrt_H__WTrts_H_Ointros_I17_J, fact_977_WTrt__elim__cases_I4_J, fact_434_split__curry, fact_612_option_Osimps_I3_J, fact_851_extend__eval, fact_560_domD, fact_699_in__mono, fact_236_prod__cases3, fact_687_the_Osimps, fact_460_map__add__upd__left, fact_723_converse__rtrancl__into__rtrancl, fact_652_redp__redsp_ORedInitBlock, fact_72_Pair__inject, fact_188_fun__upd__def, fact_19_InitBlockRed_I2_J, fact_207_fun__upd__same, fact_1119_typeof__h_Osimps_I2_J
% 49.63/13.02 % No. of inferences in proof: 1572
% 49.63/13.02 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 12637 ms resp. 11518 ms w/o parsing
% 53.58/13.77 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 53.58/13.77 % [INFO] Killing All external provers ...
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