%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP227^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:25:00 AM UTC 2026
% Result : Theorem 39.66s 8.14s
% Output : CNFRefutation 39.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 4
% Syntax : Number of formulae : 624 ( 39 unt; 0 typ; 0 def)
% Number of atoms : 6747 (2383 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 2819 ( 926 ~;1882 |; 3 &; 8 @)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Number of types : 71 ( 70 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 815 ( 812 usr; 56 con; 0-8 aty)
% Number of variables : 196 ( 0 ^; 196 !; 0 ?; 196 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_char,type,
char: $tType ).
thf(tp_code_integer,type,
code_integer: $tType ).
thf(tp_complex,type,
complex: $tType ).
thf(tp_extended_enat,type,
extended_enat: $tType ).
thf(tp_filter_nat,type,
filter_nat: $tType ).
thf(tp_filter_real,type,
filter_real: $tType ).
thf(tp_int,type,
int: $tType ).
thf(tp_list_Code_integer,type,
list_Code_integer: $tType ).
thf(tp_list_P3126845725202233233VEBT_o,type,
list_P3126845725202233233VEBT_o: $tType ).
thf(tp_list_P3744719386663036955um_num,type,
list_P3744719386663036955um_num: $tType ).
thf(tp_list_P3795440434834930179_o_int,type,
list_P3795440434834930179_o_int: $tType ).
thf(tp_list_P4002435161011370285od_o_o,type,
list_P4002435161011370285od_o_o: $tType ).
thf(tp_list_P4547456442757143711BT_int,type,
list_P4547456442757143711BT_int: $tType ).
thf(tp_list_P5647936690300460905T_VEBT,type,
list_P5647936690300460905T_VEBT: $tType ).
thf(tp_list_P6011104703257516679at_nat,type,
list_P6011104703257516679at_nat: $tType ).
thf(tp_list_P6285523579766656935_o_nat,type,
list_P6285523579766656935_o_nat: $tType ).
thf(tp_list_P7037539587688870467BT_nat,type,
list_P7037539587688870467BT_nat: $tType ).
thf(tp_list_P7333126701944960589_nat_o,type,
list_P7333126701944960589_nat_o: $tType ).
thf(tp_list_P7413028617227757229T_VEBT,type,
list_P7413028617227757229T_VEBT: $tType ).
thf(tp_list_P7495141550334521929T_VEBT,type,
list_P7495141550334521929T_VEBT: $tType ).
thf(tp_list_P8526636022914148096eger_o,type,
list_P8526636022914148096eger_o: $tType ).
thf(tp_list_VEBT_VEBT,type,
list_VEBT_VEBT: $tType ).
thf(tp_list_complex,type,
list_complex: $tType ).
thf(tp_list_int,type,
list_int: $tType ).
thf(tp_list_nat,type,
list_nat: $tType ).
thf(tp_list_num,type,
list_num: $tType ).
thf(tp_list_o,type,
list_o: $tType ).
thf(tp_list_real,type,
list_real: $tType ).
thf(tp_nat,type,
nat: $tType ).
thf(tp_num,type,
num: $tType ).
thf(tp_option4927543243414619207at_nat,type,
option4927543243414619207at_nat: $tType ).
thf(tp_option_num,type,
option_num: $tType ).
thf(tp_produc2504756804600209347T_VEBT,type,
produc2504756804600209347T_VEBT: $tType ).
thf(tp_produc2963631642982155120at_num,type,
produc2963631642982155120at_num: $tType ).
thf(tp_produc334124729049499915VEBT_o,type,
produc334124729049499915VEBT_o: $tType ).
thf(tp_produc3368934014287244435at_num,type,
produc3368934014287244435at_num: $tType ).
thf(tp_produc4471711990508489141at_nat,type,
produc4471711990508489141at_nat: $tType ).
thf(tp_produc4894624898956917775BT_int,type,
produc4894624898956917775BT_int: $tType ).
thf(tp_produc6271795597528267376eger_o,type,
produc6271795597528267376eger_o: $tType ).
thf(tp_produc7248412053542808358at_nat,type,
produc7248412053542808358at_nat: $tType ).
thf(tp_produc8243902056947475879T_VEBT,type,
produc8243902056947475879T_VEBT: $tType ).
thf(tp_produc8923325533196201883nteger,type,
produc8923325533196201883nteger: $tType ).
thf(tp_produc9072475918466114483BT_nat,type,
produc9072475918466114483BT_nat: $tType ).
thf(tp_product_prod_int_int,type,
product_prod_int_int: $tType ).
thf(tp_product_prod_nat_nat,type,
product_prod_nat_nat: $tType ).
thf(tp_product_prod_nat_num,type,
product_prod_nat_num: $tType ).
thf(tp_product_prod_num_num,type,
product_prod_num_num: $tType ).
thf(tp_product_prod_o_int,type,
product_prod_o_int: $tType ).
thf(tp_product_prod_o_nat,type,
product_prod_o_nat: $tType ).
thf(tp_product_prod_o_o,type,
product_prod_o_o: $tType ).
thf(tp_rat,type,
rat: $tType ).
thf(tp_real,type,
real: $tType ).
thf(tp_set_Code_integer,type,
set_Code_integer: $tType ).
thf(tp_set_Extended_enat,type,
set_Extended_enat: $tType ).
thf(tp_set_Pr1261947904930325089at_nat,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(tp_set_Pr958786334691620121nt_int,type,
set_Pr958786334691620121nt_int: $tType ).
thf(tp_set_Product_unit,type,
set_Product_unit: $tType ).
thf(tp_set_VEBT_VEBT,type,
set_VEBT_VEBT: $tType ).
thf(tp_set_char,type,
set_char: $tType ).
thf(tp_set_complex,type,
set_complex: $tType ).
thf(tp_set_int,type,
set_int: $tType ).
thf(tp_set_list_nat,type,
set_list_nat: $tType ).
thf(tp_set_nat,type,
set_nat: $tType ).
thf(tp_set_num,type,
set_num: $tType ).
thf(tp_set_o,type,
set_o: $tType ).
thf(tp_set_rat,type,
set_rat: $tType ).
thf(tp_set_real,type,
set_real: $tType ).
thf(tp_set_set_int,type,
set_set_int: $tType ).
thf(tp_set_set_nat,type,
set_set_nat: $tType ).
thf(tp_vEBT_VEBT,type,
vEBT_VEBT: $tType ).
thf(tp_abs_Integ,type,
abs_Integ: product_prod_nat_nat > int ).
thf(tp_abs_abs_Code_integer,type,
abs_abs_Code_integer: code_integer > code_integer ).
thf(tp_abs_abs_complex,type,
abs_abs_complex: complex > complex ).
thf(tp_abs_abs_int,type,
abs_abs_int: int > int ).
thf(tp_abs_abs_rat,type,
abs_abs_rat: rat > rat ).
thf(tp_abs_abs_real,type,
abs_abs_real: real > real ).
thf(tp_accp_P1096762738010456898nt_int,type,
accp_P1096762738010456898nt_int: ( product_prod_int_int > product_prod_int_int > $o ) > product_prod_int_int > $o ).
thf(tp_accp_P2887432264394892906BT_nat,type,
accp_P2887432264394892906BT_nat: ( produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ) > produc9072475918466114483BT_nat > $o ).
thf(tp_accp_P3113834385874906142um_num,type,
accp_P3113834385874906142um_num: ( product_prod_num_num > product_prod_num_num > $o ) > product_prod_num_num > $o ).
thf(tp_accp_P4275260045618599050at_nat,type,
accp_P4275260045618599050at_nat: ( product_prod_nat_nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > $o ).
thf(tp_accp_VEBT_VEBT,type,
accp_VEBT_VEBT: ( vEBT_VEBT > vEBT_VEBT > $o ) > vEBT_VEBT > $o ).
thf(tp_accp_list_nat,type,
accp_list_nat: ( list_nat > list_nat > $o ) > list_nat > $o ).
thf(tp_accp_nat,type,
accp_nat: ( nat > nat > $o ) > nat > $o ).
thf(tp_adjust_div,type,
adjust_div: product_prod_int_int > int ).
thf(tp_adjust_mod,type,
adjust_mod: int > int > int ).
thf(tp_append_int,type,
append_int: list_int > list_int > list_int ).
thf(tp_append_nat,type,
append_nat: list_nat > list_nat > list_nat ).
thf(tp_arccos,type,
arccos: real > real ).
thf(tp_archim3151403230148437115or_rat,type,
archim3151403230148437115or_rat: rat > int ).
thf(tp_archim6058952711729229775r_real,type,
archim6058952711729229775r_real: real > int ).
thf(tp_archim7778729529865785530nd_rat,type,
archim7778729529865785530nd_rat: rat > int ).
thf(tp_archim7802044766580827645g_real,type,
archim7802044766580827645g_real: real > int ).
thf(tp_archim8280529875227126926d_real,type,
archim8280529875227126926d_real: real > int ).
thf(tp_arcosh_real,type,
arcosh_real: real > real ).
thf(tp_arcsin,type,
arcsin: real > real ).
thf(tp_arctan,type,
arctan: real > real ).
thf(tp_arg,type,
arg: complex > real ).
thf(tp_arsinh_real,type,
arsinh_real: real > real ).
thf(tp_artanh_real,type,
artanh_real: real > real ).
thf(tp_ascii_of,type,
ascii_of: char > char ).
thf(tp_at_bot_real,type,
at_bot_real: filter_real ).
thf(tp_at_infinity_real,type,
at_infinity_real: filter_real ).
thf(tp_at_top_nat,type,
at_top_nat: filter_nat ).
thf(tp_at_top_real,type,
at_top_real: filter_real ).
thf(tp_bezw,type,
bezw: nat > nat > product_prod_int_int ).
thf(tp_bezw_rel,type,
bezw_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(tp_bfun_nat_real,type,
bfun_nat_real: ( nat > real ) > filter_nat > $o ).
thf(tp_bij_be1856998921033663316omplex,type,
bij_be1856998921033663316omplex: ( complex > complex ) > set_complex > set_complex > $o ).
thf(tp_bij_betw_nat_complex,type,
bij_betw_nat_complex: ( nat > complex ) > set_nat > set_complex > $o ).
thf(tp_bij_betw_nat_nat,type,
bij_betw_nat_nat: ( nat > nat ) > set_nat > set_nat > $o ).
thf(tp_binomial,type,
binomial: nat > nat > nat ).
thf(tp_bit0,type,
bit0: num > num ).
thf(tp_bit1,type,
bit1: num > num ).
thf(tp_bitM,type,
bitM: num > num ).
thf(tp_bit_and_int_rel,type,
bit_and_int_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(tp_bit_and_not_num,type,
bit_and_not_num: num > num > option_num ).
thf(tp_bit_and_not_num_rel,type,
bit_and_not_num_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(tp_bit_concat_bit,type,
bit_concat_bit: nat > int > int > int ).
thf(tp_bit_or3848514188828904588eg_rel,type,
bit_or3848514188828904588eg_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(tp_bit_or_not_num_neg,type,
bit_or_not_num_neg: num > num > num ).
thf(tp_bit_ri631733984087533419it_int,type,
bit_ri631733984087533419it_int: nat > int > int ).
thf(tp_bit_ri6519982836138164636nteger,type,
bit_ri6519982836138164636nteger: nat > code_integer > code_integer ).
thf(tp_bit_ri7919022796975470100ot_int,type,
bit_ri7919022796975470100ot_int: int > int ).
thf(tp_bit_se1146084159140164899it_int,type,
bit_se1146084159140164899it_int: int > nat > $o ).
thf(tp_bit_se1148574629649215175it_nat,type,
bit_se1148574629649215175it_nat: nat > nat > $o ).
thf(tp_bit_se1345352211410354436nteger,type,
bit_se1345352211410354436nteger: nat > code_integer > code_integer ).
thf(tp_bit_se1409905431419307370or_int,type,
bit_se1409905431419307370or_int: int > int > int ).
thf(tp_bit_se1412395901928357646or_nat,type,
bit_se1412395901928357646or_nat: nat > nat > nat ).
thf(tp_bit_se1745604003318907178nteger,type,
bit_se1745604003318907178nteger: nat > code_integer > code_integer ).
thf(tp_bit_se2000444600071755411sk_int,type,
bit_se2000444600071755411sk_int: nat > int ).
thf(tp_bit_se2002935070580805687sk_nat,type,
bit_se2002935070580805687sk_nat: nat > nat ).
thf(tp_bit_se2119862282449309892nteger,type,
bit_se2119862282449309892nteger: nat > code_integer ).
thf(tp_bit_se2159334234014336723it_int,type,
bit_se2159334234014336723it_int: nat > int > int ).
thf(tp_bit_se2161824704523386999it_nat,type,
bit_se2161824704523386999it_nat: nat > nat > nat ).
thf(tp_bit_se2793503036327961859nteger,type,
bit_se2793503036327961859nteger: nat > code_integer > code_integer ).
thf(tp_bit_se2923211474154528505it_int,type,
bit_se2923211474154528505it_int: nat > int > int ).
thf(tp_bit_se2925701944663578781it_nat,type,
bit_se2925701944663578781it_nat: nat > nat > nat ).
thf(tp_bit_se3949692690581998587nteger,type,
bit_se3949692690581998587nteger: code_integer > code_integer > code_integer ).
thf(tp_bit_se4203085406695923979it_int,type,
bit_se4203085406695923979it_int: nat > int > int ).
thf(tp_bit_se4205575877204974255it_nat,type,
bit_se4205575877204974255it_nat: nat > nat > nat ).
thf(tp_bit_se545348938243370406it_int,type,
bit_se545348938243370406it_int: nat > int > int ).
thf(tp_bit_se547839408752420682it_nat,type,
bit_se547839408752420682it_nat: nat > nat > nat ).
thf(tp_bit_se6526347334894502574or_int,type,
bit_se6526347334894502574or_int: int > int > int ).
thf(tp_bit_se6528837805403552850or_nat,type,
bit_se6528837805403552850or_nat: nat > nat > nat ).
thf(tp_bit_se725231765392027082nd_int,type,
bit_se725231765392027082nd_int: int > int > int ).
thf(tp_bit_se727722235901077358nd_nat,type,
bit_se727722235901077358nd_nat: nat > nat > nat ).
thf(tp_bit_se7879613467334960850it_int,type,
bit_se7879613467334960850it_int: nat > int > int ).
thf(tp_bit_se7882103937844011126it_nat,type,
bit_se7882103937844011126it_nat: nat > nat > nat ).
thf(tp_bit_se8260200283734997820nteger,type,
bit_se8260200283734997820nteger: nat > code_integer > code_integer ).
thf(tp_bit_se8568078237143864401it_int,type,
bit_se8568078237143864401it_int: nat > int > int ).
thf(tp_bit_se8570568707652914677it_nat,type,
bit_se8570568707652914677it_nat: nat > nat > nat ).
thf(tp_bit_se9216721137139052372nteger,type,
bit_se9216721137139052372nteger: code_integer > nat > $o ).
thf(tp_bit_take_bit_num,type,
bit_take_bit_num: nat > num > option_num ).
thf(tp_bit_un1837492267222099188nd_num,type,
bit_un1837492267222099188nd_num: num > num > option_num ).
thf(tp_bit_un2480387367778600638or_num,type,
bit_un2480387367778600638or_num: num > num > option_num ).
thf(tp_bit_un2901131394128224187um_rel,type,
bit_un2901131394128224187um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(tp_bit_un3595099601533988841um_rel,type,
bit_un3595099601533988841um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(tp_bit_un4731106466462545111um_rel,type,
bit_un4731106466462545111um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(tp_bit_un5425074673868309765um_rel,type,
bit_un5425074673868309765um_rel: product_prod_num_num > product_prod_num_num > $o ).
thf(tp_bit_un6178654185764691216or_num,type,
bit_un6178654185764691216or_num: num > num > option_num ).
thf(tp_bit_un7362597486090784418nd_num,type,
bit_un7362597486090784418nd_num: num > num > option_num ).
thf(tp_bot_bo2099793752762293965at_nat,type,
bot_bo2099793752762293965at_nat: set_Pr1261947904930325089at_nat ).
thf(tp_bot_bo4199563552545308370d_enat,type,
bot_bo4199563552545308370d_enat: extended_enat ).
thf(tp_bot_bo7653980558646680370d_enat,type,
bot_bo7653980558646680370d_enat: set_Extended_enat ).
thf(tp_bot_bo8194388402131092736T_VEBT,type,
bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).
thf(tp_bot_bot_nat,type,
bot_bot_nat: nat ).
thf(tp_bot_bot_nat_o,type,
bot_bot_nat_o: nat > $o ).
thf(tp_bot_bot_set_complex,type,
bot_bot_set_complex: set_complex ).
thf(tp_bot_bot_set_int,type,
bot_bot_set_int: set_int ).
thf(tp_bot_bot_set_nat,type,
bot_bot_set_nat: set_nat ).
thf(tp_bot_bot_set_num,type,
bot_bot_set_num: set_num ).
thf(tp_bot_bot_set_rat,type,
bot_bot_set_rat: set_rat ).
thf(tp_bot_bot_set_real,type,
bot_bot_set_real: set_real ).
thf(tp_bot_bot_set_set_int,type,
bot_bot_set_set_int: set_set_int ).
thf(tp_case_nat_nat,type,
case_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(tp_case_nat_o,type,
case_nat_o: $o > ( nat > $o ) > nat > $o ).
thf(tp_case_nat_option_num,type,
case_nat_option_num: option_num > ( nat > option_num ) > nat > option_num ).
thf(tp_case_num_option_num,type,
case_num_option_num: option_num > ( num > option_num ) > ( num > option_num ) > num > option_num ).
thf(tp_case_o184042715313410164at_nat,type,
case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).
thf(tp_case_o6005452278849405969um_num,type,
case_o6005452278849405969um_num: option_num > ( num > option_num ) > option_num > option_num ).
thf(tp_case_option_int_num,type,
case_option_int_num: int > ( num > int ) > option_num > int ).
thf(tp_case_option_num_num,type,
case_option_num_num: num > ( num > num ) > option_num > num ).
thf(tp_char2,type,
char2: $o > $o > $o > $o > $o > $o > $o > $o > char ).
thf(tp_cis,type,
cis: real > complex ).
thf(tp_cnj,type,
cnj: complex > complex ).
thf(tp_code_Target_negative,type,
code_Target_negative: num > int ).
thf(tp_code_Target_positive,type,
code_Target_positive: num > int ).
thf(tp_code_bit_cut_integer,type,
code_bit_cut_integer: code_integer > produc6271795597528267376eger_o ).
thf(tp_code_divmod_abs,type,
code_divmod_abs: code_integer > code_integer > produc8923325533196201883nteger ).
thf(tp_code_divmod_integer,type,
code_divmod_integer: code_integer > code_integer > produc8923325533196201883nteger ).
thf(tp_code_int_of_integer,type,
code_int_of_integer: code_integer > int ).
thf(tp_code_integer_of_int,type,
code_integer_of_int: int > code_integer ).
thf(tp_code_integer_of_num,type,
code_integer_of_num: num > code_integer ).
thf(tp_code_nat_of_integer,type,
code_nat_of_integer: code_integer > nat ).
thf(tp_code_negative,type,
code_negative: num > code_integer ).
thf(tp_code_num_of_integer,type,
code_num_of_integer: code_integer > num ).
thf(tp_code_positive,type,
code_positive: num > code_integer ).
thf(tp_collec213857154873943460nt_int,type,
collec213857154873943460nt_int: ( product_prod_int_int > $o ) > set_Pr958786334691620121nt_int ).
thf(tp_collec3392354462482085612at_nat,type,
collec3392354462482085612at_nat: ( product_prod_nat_nat > $o ) > set_Pr1261947904930325089at_nat ).
thf(tp_collect_Code_integer,type,
collect_Code_integer: ( code_integer > $o ) > set_Code_integer ).
thf(tp_collect_complex,type,
collect_complex: ( complex > $o ) > set_complex ).
thf(tp_collect_int,type,
collect_int: ( int > $o ) > set_int ).
thf(tp_collect_list_nat,type,
collect_list_nat: ( list_nat > $o ) > set_list_nat ).
thf(tp_collect_nat,type,
collect_nat: ( nat > $o ) > set_nat ).
thf(tp_collect_num,type,
collect_num: ( num > $o ) > set_num ).
thf(tp_collect_rat,type,
collect_rat: ( rat > $o ) > set_rat ).
thf(tp_collect_real,type,
collect_real: ( real > $o ) > set_real ).
thf(tp_collect_set_int,type,
collect_set_int: ( set_int > $o ) > set_set_int ).
thf(tp_comm_s2602460028002588243omplex,type,
comm_s2602460028002588243omplex: complex > nat > complex ).
thf(tp_comm_s4028243227959126397er_rat,type,
comm_s4028243227959126397er_rat: rat > nat > rat ).
thf(tp_comm_s4660882817536571857er_int,type,
comm_s4660882817536571857er_int: int > nat > int ).
thf(tp_comm_s4663373288045622133er_nat,type,
comm_s4663373288045622133er_nat: nat > nat > nat ).
thf(tp_comm_s629917340098488124ar_nat,type,
comm_s629917340098488124ar_nat: char > nat ).
thf(tp_comm_s7457072308508201937r_real,type,
comm_s7457072308508201937r_real: real > nat > real ).
thf(tp_comm_s8582702949713902594nteger,type,
comm_s8582702949713902594nteger: code_integer > nat > code_integer ).
thf(tp_comp_C1593894019821074884nteger,type,
comp_C1593894019821074884nteger: ( code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(tp_comp_C3531382070062128313er_num,type,
comp_C3531382070062128313er_num: ( code_integer > code_integer ) > ( num > code_integer ) > num > code_integer ).
thf(tp_comp_C8797469213163452608nteger,type,
comp_C8797469213163452608nteger: ( ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ) > ( code_integer > code_integer > code_integer ) > code_integer > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(tp_comp_int_int_num,type,
comp_int_int_num: ( int > int ) > ( num > int ) > num > int ).
thf(tp_comp_nat_nat_nat,type,
comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
thf(tp_comp_nat_real_nat,type,
comp_nat_real_nat: ( nat > real ) > ( nat > nat ) > nat > real ).
thf(tp_comple1385675409528146559p_real,type,
comple1385675409528146559p_real: set_real > real ).
thf(tp_comple4887499456419720421f_real,type,
comple4887499456419720421f_real: set_real > real ).
thf(tp_comple7399068483239264473et_nat,type,
comple7399068483239264473et_nat: set_set_nat > set_nat ).
thf(tp_comple7806235888213564991et_nat,type,
comple7806235888213564991et_nat: set_set_nat > set_nat ).
thf(tp_complete_Sup_Sup_int,type,
complete_Sup_Sup_int: set_int > int ).
thf(tp_complex2,type,
complex2: real > real > complex ).
thf(tp_compow_nat_nat,type,
compow_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(tp_cons_int,type,
cons_int: int > list_int > list_int ).
thf(tp_cons_nat,type,
cons_nat: nat > list_nat > list_nat ).
thf(tp_cos_coeff,type,
cos_coeff: nat > real ).
thf(tp_cos_complex,type,
cos_complex: complex > complex ).
thf(tp_cos_real,type,
cos_real: real > real ).
thf(tp_cosh_real,type,
cosh_real: real > real ).
thf(tp_cot_real,type,
cot_real: real > real ).
thf(tp_csqrt,type,
csqrt: complex > complex ).
thf(tp_deg,type,
deg: nat ).
thf(tp_differ6690327859849518006l_real,type,
differ6690327859849518006l_real: ( real > real ) > filter_real > $o ).
thf(tp_diffs_complex,type,
diffs_complex: ( nat > complex ) > nat > complex ).
thf(tp_diffs_int,type,
diffs_int: ( nat > int ) > nat > int ).
thf(tp_diffs_rat,type,
diffs_rat: ( nat > rat ) > nat > rat ).
thf(tp_diffs_real,type,
diffs_real: ( nat > real ) > nat > real ).
thf(tp_distinct_int,type,
distinct_int: list_int > $o ).
thf(tp_distinct_nat,type,
distinct_nat: list_nat > $o ).
thf(tp_divide1717551699836669952omplex,type,
divide1717551699836669952omplex: complex > complex > complex ).
thf(tp_divide6298287555418463151nteger,type,
divide6298287555418463151nteger: code_integer > code_integer > code_integer ).
thf(tp_divide_divide_int,type,
divide_divide_int: int > int > int ).
thf(tp_divide_divide_nat,type,
divide_divide_nat: nat > nat > nat ).
thf(tp_divide_divide_rat,type,
divide_divide_rat: rat > rat > rat ).
thf(tp_divide_divide_real,type,
divide_divide_real: real > real > real ).
thf(tp_divmod_nat,type,
divmod_nat: nat > nat > product_prod_nat_nat ).
thf(tp_drop_nat,type,
drop_nat: nat > list_nat > list_nat ).
thf(tp_dvd_dvd_Code_integer,type,
dvd_dvd_Code_integer: code_integer > code_integer > $o ).
thf(tp_dvd_dvd_complex,type,
dvd_dvd_complex: complex > complex > $o ).
thf(tp_dvd_dvd_int,type,
dvd_dvd_int: int > int > $o ).
thf(tp_dvd_dvd_nat,type,
dvd_dvd_nat: nat > nat > $o ).
thf(tp_dvd_dvd_rat,type,
dvd_dvd_rat: rat > rat > $o ).
thf(tp_dvd_dvd_real,type,
dvd_dvd_real: real > real > $o ).
thf(tp_eucl_rel_int,type,
eucl_rel_int: int > int > product_prod_int_int > $o ).
thf(tp_eventually_nat,type,
eventually_nat: ( nat > $o ) > filter_nat > $o ).
thf(tp_eventually_real,type,
eventually_real: ( real > $o ) > filter_real > $o ).
thf(tp_exp_complex,type,
exp_complex: complex > complex ).
thf(tp_exp_real,type,
exp_real: real > real ).
thf(tp_fChoice_real,type,
fChoice_real: ( real > $o ) > real ).
thf(tp_field_5140801741446780682s_real,type,
field_5140801741446780682s_real: set_real ).
thf(tp_filterlim_nat_nat,type,
filterlim_nat_nat: ( nat > nat ) > filter_nat > filter_nat > $o ).
thf(tp_filterlim_nat_real,type,
filterlim_nat_real: ( nat > real ) > filter_real > filter_nat > $o ).
thf(tp_filterlim_real_real,type,
filterlim_real_real: ( real > real ) > filter_real > filter_real > $o ).
thf(tp_finite3207457112153483333omplex,type,
finite3207457112153483333omplex: set_complex > $o ).
thf(tp_finite410649719033368117t_unit,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
thf(tp_finite_card_char,type,
finite_card_char: set_char > nat ).
thf(tp_finite_card_complex,type,
finite_card_complex: set_complex > nat ).
thf(tp_finite_card_int,type,
finite_card_int: set_int > nat ).
thf(tp_finite_card_list_nat,type,
finite_card_list_nat: set_list_nat > nat ).
thf(tp_finite_card_nat,type,
finite_card_nat: set_nat > nat ).
thf(tp_finite_card_o,type,
finite_card_o: set_o > nat ).
thf(tp_finite_finite_int,type,
finite_finite_int: set_int > $o ).
thf(tp_finite_finite_nat,type,
finite_finite_nat: set_nat > $o ).
thf(tp_fract,type,
fract: int > int > rat ).
thf(tp_frct,type,
frct: product_prod_int_int > rat ).
thf(tp_gbinomial_complex,type,
gbinomial_complex: complex > nat > complex ).
thf(tp_gbinomial_int,type,
gbinomial_int: int > nat > int ).
thf(tp_gbinomial_nat,type,
gbinomial_nat: nat > nat > nat ).
thf(tp_gbinomial_rat,type,
gbinomial_rat: rat > nat > rat ).
thf(tp_gbinomial_real,type,
gbinomial_real: real > nat > real ).
thf(tp_gcd_Gcd_int,type,
gcd_Gcd_int: set_int > int ).
thf(tp_gcd_Gcd_nat,type,
gcd_Gcd_nat: set_nat > nat ).
thf(tp_gcd_gcd_Code_integer,type,
gcd_gcd_Code_integer: code_integer > code_integer > code_integer ).
thf(tp_gcd_gcd_int,type,
gcd_gcd_int: int > int > int ).
thf(tp_gcd_gcd_nat,type,
gcd_gcd_nat: nat > nat > nat ).
thf(tp_gcd_nat_rel,type,
gcd_nat_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(tp_groups1072433553688619179nt_rat,type,
groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).
thf(tp_groups129246275422532515t_real,type,
groups129246275422532515t_real: ( nat > real ) > set_nat > real ).
thf(tp_groups1300246762558778688al_rat,type,
groups1300246762558778688al_rat: ( real > rat ) > set_real > rat ).
thf(tp_groups1681761925125756287l_real,type,
groups1681761925125756287l_real: ( real > real ) > set_real > real ).
thf(tp_groups1705073143266064639nt_int,type,
groups1705073143266064639nt_int: ( int > int ) > set_int > int ).
thf(tp_groups1707563613775114915nt_nat,type,
groups1707563613775114915nt_nat: ( int > nat ) > set_int > nat ).
thf(tp_groups1932886352136224148al_int,type,
groups1932886352136224148al_int: ( real > int ) > set_real > int ).
thf(tp_groups1935376822645274424al_nat,type,
groups1935376822645274424al_nat: ( real > nat ) > set_real > nat ).
thf(tp_groups2073611262835488442omplex,type,
groups2073611262835488442omplex: ( nat > complex ) > set_nat > complex ).
thf(tp_groups225925009352817453ex_rat,type,
groups225925009352817453ex_rat: ( complex > rat ) > set_complex > rat ).
thf(tp_groups2316167850115554303t_real,type,
groups2316167850115554303t_real: ( int > real ) > set_int > real ).
thf(tp_groups2906978787729119204at_rat,type,
groups2906978787729119204at_rat: ( nat > rat ) > set_nat > rat ).
thf(tp_groups3049146728041665814omplex,type,
groups3049146728041665814omplex: ( int > complex ) > set_int > complex ).
thf(tp_groups3539618377306564664at_int,type,
groups3539618377306564664at_int: ( nat > int ) > set_nat > int ).
thf(tp_groups3542108847815614940at_nat,type,
groups3542108847815614940at_nat: ( nat > nat ) > set_nat > nat ).
thf(tp_groups3708469109370488835omplex,type,
groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).
thf(tp_groups3906332499630173760nt_rat,type,
groups3906332499630173760nt_rat: ( int > rat ) > set_int > rat ).
thf(tp_groups4061424788464935467al_rat,type,
groups4061424788464935467al_rat: ( real > rat ) > set_real > rat ).
thf(tp_groups4075276357253098568at_int,type,
groups4075276357253098568at_int: ( product_prod_nat_nat > int ) > set_Pr1261947904930325089at_nat > int ).
thf(tp_groups4077766827762148844at_nat,type,
groups4077766827762148844at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).
thf(tp_groups4538972089207619220nt_int,type,
groups4538972089207619220nt_int: ( int > int ) > set_int > int ).
thf(tp_groups4541462559716669496nt_nat,type,
groups4541462559716669496nt_nat: ( int > nat ) > set_int > nat ).
thf(tp_groups4561878855575611511st_nat,type,
groups4561878855575611511st_nat: list_nat > nat ).
thf(tp_groups4567486121110086003t_real,type,
groups4567486121110086003t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).
thf(tp_groups4696554848551431203al_nat,type,
groups4696554848551431203al_nat: ( real > nat ) > set_real > nat ).
thf(tp_groups5058264527183730370ex_rat,type,
groups5058264527183730370ex_rat: ( complex > rat ) > set_complex > rat ).
thf(tp_groups5690904116761175830ex_int,type,
groups5690904116761175830ex_int: ( complex > int ) > set_complex > int ).
thf(tp_groups5693394587270226106ex_nat,type,
groups5693394587270226106ex_nat: ( complex > nat ) > set_complex > nat ).
thf(tp_groups5754745047067104278omplex,type,
groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).
thf(tp_groups5808333547571424918x_real,type,
groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).
thf(tp_groups6036352826371341000t_real,type,
groups6036352826371341000t_real: ( product_prod_nat_nat > real ) > set_Pr1261947904930325089at_nat > real ).
thf(tp_groups6381953495645901045omplex,type,
groups6381953495645901045omplex: ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > complex ).
thf(tp_groups6464643781859351333omplex,type,
groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).
thf(tp_groups6591440286371151544t_real,type,
groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).
thf(tp_groups6621422865394947399nteger,type,
groups6621422865394947399nteger: ( complex > code_integer ) > set_complex > code_integer ).
thf(tp_groups705719431365010083at_int,type,
groups705719431365010083at_int: ( nat > int ) > set_nat > int ).
thf(tp_groups708209901874060359at_nat,type,
groups708209901874060359at_nat: ( nat > nat ) > set_nat > nat ).
thf(tp_groups713298508707869441omplex,type,
groups713298508707869441omplex: ( real > complex ) > set_real > complex ).
thf(tp_groups73079841787564623at_rat,type,
groups73079841787564623at_rat: ( nat > rat ) > set_nat > rat ).
thf(tp_groups7440179247065528705omplex,type,
groups7440179247065528705omplex: ( int > complex ) > set_int > complex ).
thf(tp_groups7501900531339628137nteger,type,
groups7501900531339628137nteger: ( nat > code_integer ) > set_nat > code_integer ).
thf(tp_groups766887009212190081x_real,type,
groups766887009212190081x_real: ( complex > real ) > set_complex > real ).
thf(tp_groups7713935264441627589nteger,type,
groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).
thf(tp_groups7754918857620584856omplex,type,
groups7754918857620584856omplex: ( complex > complex ) > set_complex > complex ).
thf(tp_groups7873554091576472773nteger,type,
groups7873554091576472773nteger: ( int > code_integer ) > set_int > code_integer ).
thf(tp_groups8097168146408367636l_real,type,
groups8097168146408367636l_real: ( real > real ) > set_real > real ).
thf(tp_groups8110221916422527690omplex,type,
groups8110221916422527690omplex: ( product_prod_nat_nat > complex ) > set_Pr1261947904930325089at_nat > complex ).
thf(tp_groups8778361861064173332t_real,type,
groups8778361861064173332t_real: ( int > real ) > set_int > real ).
thf(tp_groups9116527308978886569_o_int,type,
groups9116527308978886569_o_int: ( $o > int ) > int > list_o > int ).
thf(tp_groups977919841031483927at_nat,type,
groups977919841031483927at_nat: ( product_prod_nat_nat > nat ) > set_Pr1261947904930325089at_nat > nat ).
thf(tp_has_fi5821293074295781190e_real,type,
has_fi5821293074295781190e_real: ( real > real ) > real > filter_real > $o ).
thf(tp_hd_nat,type,
hd_nat: list_nat > nat ).
thf(tp_id_nat,type,
id_nat: nat > nat ).
thf(tp_id_o,type,
id_o: $o > $o ).
thf(tp_if_Code_integer,type,
if_Code_integer: $o > code_integer > code_integer > code_integer ).
thf(tp_if_Extended_enat,type,
if_Extended_enat: $o > extended_enat > extended_enat > extended_enat ).
thf(tp_if_Pro3027730157355071871nt_int,type,
if_Pro3027730157355071871nt_int: $o > product_prod_int_int > product_prod_int_int > product_prod_int_int ).
thf(tp_if_Pro5737122678794959658eger_o,type,
if_Pro5737122678794959658eger_o: $o > produc6271795597528267376eger_o > produc6271795597528267376eger_o > produc6271795597528267376eger_o ).
thf(tp_if_Pro6119634080678213985nteger,type,
if_Pro6119634080678213985nteger: $o > produc8923325533196201883nteger > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(tp_if_Pro6206227464963214023at_nat,type,
if_Pro6206227464963214023at_nat: $o > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(tp_if_VEBT_VEBT,type,
if_VEBT_VEBT: $o > vEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(tp_if_complex,type,
if_complex: $o > complex > complex > complex ).
thf(tp_if_int,type,
if_int: $o > int > int > int ).
thf(tp_if_int_int,type,
if_int_int: $o > ( int > int ) > ( int > int ) > int > int ).
thf(tp_if_list_int,type,
if_list_int: $o > list_int > list_int > list_int ).
thf(tp_if_list_nat,type,
if_list_nat: $o > list_nat > list_nat > list_nat ).
thf(tp_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(tp_if_nat_int_int,type,
if_nat_int_int: $o > ( nat > int > int ) > ( nat > int > int ) > nat > int > int ).
thf(tp_if_nat_nat_nat,type,
if_nat_nat_nat: $o > ( nat > nat > nat ) > ( nat > nat > nat ) > nat > nat > nat ).
thf(tp_if_num,type,
if_num: $o > num > num > num ).
thf(tp_if_option_num,type,
if_option_num: $o > option_num > option_num > option_num ).
thf(tp_if_rat,type,
if_rat: $o > rat > rat > rat ).
thf(tp_if_real,type,
if_real: $o > real > real > real ).
thf(tp_if_set_int,type,
if_set_int: $o > set_int > set_int > set_int ).
thf(tp_im,type,
im: complex > real ).
thf(tp_image_char_nat,type,
image_char_nat: ( char > nat ) > set_char > set_nat ).
thf(tp_image_int_int,type,
image_int_int: ( int > int ) > set_int > set_int ).
thf(tp_image_nat_char,type,
image_nat_char: ( nat > char ) > set_nat > set_char ).
thf(tp_image_nat_int,type,
image_nat_int: ( nat > int ) > set_nat > set_int ).
thf(tp_image_nat_nat,type,
image_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(tp_image_nat_real,type,
image_nat_real: ( nat > real ) > set_nat > set_real ).
thf(tp_image_nat_set_nat,type,
image_nat_set_nat: ( nat > set_nat ) > set_nat > set_set_nat ).
thf(tp_image_real_real,type,
image_real_real: ( real > real ) > set_real > set_real ).
thf(tp_imaginary_unit,type,
imaginary_unit: complex ).
thf(tp_inc,type,
inc: num > num ).
thf(tp_inf_in1870772243966228564d_enat,type,
inf_in1870772243966228564d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_inf_inf_nat,type,
inf_inf_nat: nat > nat > nat ).
thf(tp_inj_on_nat_char,type,
inj_on_nat_char: ( nat > char ) > set_nat > $o ).
thf(tp_inj_on_nat_nat,type,
inj_on_nat_nat: ( nat > nat ) > set_nat > $o ).
thf(tp_inj_on_real_real,type,
inj_on_real_real: ( real > real ) > set_real > $o ).
thf(tp_insert8211810215607154385at_nat,type,
insert8211810215607154385at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_insert_VEBT_VEBT,type,
insert_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).
thf(tp_insert_complex,type,
insert_complex: complex > set_complex > set_complex ).
thf(tp_insert_int,type,
insert_int: int > set_int > set_int ).
thf(tp_insert_nat,type,
insert_nat: nat > set_nat > set_nat ).
thf(tp_insert_real,type,
insert_real: real > set_real > set_real ).
thf(tp_int_ge_less_than,type,
int_ge_less_than: int > set_Pr958786334691620121nt_int ).
thf(tp_int_ge_less_than2,type,
int_ge_less_than2: int > set_Pr958786334691620121nt_int ).
thf(tp_integer_of_char,type,
integer_of_char: char > code_integer ).
thf(tp_invers8013647133539491842omplex,type,
invers8013647133539491842omplex: complex > complex ).
thf(tp_inverse_inverse_rat,type,
inverse_inverse_rat: rat > rat ).
thf(tp_inverse_inverse_real,type,
inverse_inverse_real: real > real ).
thf(tp_lattic8265883725875713057ax_nat,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
thf(tp_linord1735203802627413978nt_int,type,
linord1735203802627413978nt_int: ( int > int ) > list_int > list_int ).
thf(tp_linord2614967742042102400et_nat,type,
linord2614967742042102400et_nat: set_nat > list_nat ).
thf(tp_linord738340561235409698at_nat,type,
linord738340561235409698at_nat: ( nat > nat ) > list_nat > list_nat ).
thf(tp_list_u1324408373059187874T_VEBT,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(tp_list_u6180841689913720943at_nat,type,
list_u6180841689913720943at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).
thf(tp_list_update_complex,type,
list_update_complex: list_complex > nat > complex > list_complex ).
thf(tp_list_update_int,type,
list_update_int: list_int > nat > int > list_int ).
thf(tp_list_update_nat,type,
list_update_nat: list_nat > nat > nat > list_nat ).
thf(tp_list_update_o,type,
list_update_o: list_o > nat > $o > list_o ).
thf(tp_list_update_real,type,
list_update_real: list_real > nat > real > list_real ).
thf(tp_ln_ln_real,type,
ln_ln_real: real > real ).
thf(tp_log,type,
log: real > real > real ).
thf(tp_m,type,
m: nat ).
thf(tp_ma,type,
ma: nat ).
thf(tp_map_fu898904425404107465nt_o_o,type,
map_fu898904425404107465nt_o_o: ( rat > product_prod_int_int ) > ( $o > $o ) > ( product_prod_int_int > $o ) > rat > $o ).
thf(tp_map_nat_nat,type,
map_nat_nat: ( nat > nat ) > list_nat > list_nat ).
thf(tp_map_option_num_num,type,
map_option_num_num: ( num > num ) > option_num > option_num ).
thf(tp_member8440522571783428010at_nat,type,
member8440522571783428010at_nat: product_prod_nat_nat > set_Pr1261947904930325089at_nat > $o ).
thf(tp_member_VEBT_VEBT,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(tp_member_complex,type,
member_complex: complex > set_complex > $o ).
thf(tp_member_int,type,
member_int: int > set_int > $o ).
thf(tp_member_list_nat,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(tp_member_nat,type,
member_nat: nat > set_nat > $o ).
thf(tp_member_num,type,
member_num: num > set_num > $o ).
thf(tp_member_o,type,
member_o: $o > set_o > $o ).
thf(tp_member_rat,type,
member_rat: rat > set_rat > $o ).
thf(tp_member_real,type,
member_real: real > set_real > $o ).
thf(tp_member_set_int,type,
member_set_int: set_int > set_set_int > $o ).
thf(tp_mi,type,
mi: nat ).
thf(tp_minus_1356011639430497352at_nat,type,
minus_1356011639430497352at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_minus_3235023915231533773d_enat,type,
minus_3235023915231533773d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_minus_811609699411566653omplex,type,
minus_811609699411566653omplex: set_complex > set_complex > set_complex ).
thf(tp_minus_8373710615458151222nteger,type,
minus_8373710615458151222nteger: code_integer > code_integer > code_integer ).
thf(tp_minus_minus_complex,type,
minus_minus_complex: complex > complex > complex ).
thf(tp_minus_minus_int,type,
minus_minus_int: int > int > int ).
thf(tp_minus_minus_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_minus_minus_rat,type,
minus_minus_rat: rat > rat > rat ).
thf(tp_minus_minus_real,type,
minus_minus_real: real > real > real ).
thf(tp_minus_minus_set_int,type,
minus_minus_set_int: set_int > set_int > set_int ).
thf(tp_minus_minus_set_nat,type,
minus_minus_set_nat: set_nat > set_nat > set_nat ).
thf(tp_minus_minus_set_real,type,
minus_minus_set_real: set_real > set_real > set_real ).
thf(tp_modulo364778990260209775nteger,type,
modulo364778990260209775nteger: code_integer > code_integer > code_integer ).
thf(tp_modulo_modulo_int,type,
modulo_modulo_int: int > int > int ).
thf(tp_modulo_modulo_nat,type,
modulo_modulo_nat: nat > nat > nat ).
thf(tp_na,type,
na: nat ).
thf(tp_nat2,type,
nat2: int > nat ).
thf(tp_nat_list_encode,type,
nat_list_encode: list_nat > nat ).
thf(tp_nat_list_encode_rel,type,
nat_list_encode_rel: list_nat > list_nat > $o ).
thf(tp_nat_pr5047031295181774490ux_rel,type,
nat_pr5047031295181774490ux_rel: product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(tp_nat_prod_decode_aux,type,
nat_prod_decode_aux: nat > nat > product_prod_nat_nat ).
thf(tp_nat_prod_encode,type,
nat_prod_encode: product_prod_nat_nat > nat ).
thf(tp_nat_set_decode,type,
nat_set_decode: nat > set_nat ).
thf(tp_nat_set_encode,type,
nat_set_encode: set_nat > nat ).
thf(tp_nat_triangle,type,
nat_triangle: nat > nat ).
thf(tp_neg_nu3179335615603231917ec_rat,type,
neg_nu3179335615603231917ec_rat: rat > rat ).
thf(tp_neg_nu3811975205180677377ec_int,type,
neg_nu3811975205180677377ec_int: int > int ).
thf(tp_neg_nu5219082963157363817nc_rat,type,
neg_nu5219082963157363817nc_rat: rat > rat ).
thf(tp_neg_nu5831290666863070958nteger,type,
neg_nu5831290666863070958nteger: code_integer > code_integer ).
thf(tp_neg_nu5851722552734809277nc_int,type,
neg_nu5851722552734809277nc_int: int > int ).
thf(tp_neg_nu6075765906172075777c_real,type,
neg_nu6075765906172075777c_real: real > real ).
thf(tp_neg_nu6511756317524482435omplex,type,
neg_nu6511756317524482435omplex: complex > complex ).
thf(tp_neg_nu7009210354673126013omplex,type,
neg_nu7009210354673126013omplex: complex > complex ).
thf(tp_neg_nu7757733837767384882nteger,type,
neg_nu7757733837767384882nteger: code_integer > code_integer ).
thf(tp_neg_nu8295874005876285629c_real,type,
neg_nu8295874005876285629c_real: real > real ).
thf(tp_neg_nu8557863876264182079omplex,type,
neg_nu8557863876264182079omplex: complex > complex ).
thf(tp_neg_nu8804712462038260780nteger,type,
neg_nu8804712462038260780nteger: code_integer > code_integer ).
thf(tp_neg_numeral_dbl_int,type,
neg_numeral_dbl_int: int > int ).
thf(tp_neg_numeral_dbl_rat,type,
neg_numeral_dbl_rat: rat > rat ).
thf(tp_neg_numeral_dbl_real,type,
neg_numeral_dbl_real: real > real ).
thf(tp_neg_numeral_sub_int,type,
neg_numeral_sub_int: num > num > int ).
thf(tp_nil_int,type,
nil_int: list_int ).
thf(tp_nil_nat,type,
nil_nat: list_nat ).
thf(tp_none_P5556105721700978146at_nat,type,
none_P5556105721700978146at_nat: option4927543243414619207at_nat ).
thf(tp_none_num,type,
none_num: option_num ).
thf(tp_normalize,type,
normalize: product_prod_int_int > product_prod_int_int ).
thf(tp_nth_Code_integer,type,
nth_Code_integer: list_Code_integer > nat > code_integer ).
thf(tp_nth_Pr1649062631805364268_o_int,type,
nth_Pr1649062631805364268_o_int: list_P3795440434834930179_o_int > nat > product_prod_o_int ).
thf(tp_nth_Pr1791586995822124652BT_nat,type,
nth_Pr1791586995822124652BT_nat: list_P7037539587688870467BT_nat > nat > produc9072475918466114483BT_nat ).
thf(tp_nth_Pr4606735188037164562VEBT_o,type,
nth_Pr4606735188037164562VEBT_o: list_P3126845725202233233VEBT_o > nat > produc334124729049499915VEBT_o ).
thf(tp_nth_Pr4953567300277697838T_VEBT,type,
nth_Pr4953567300277697838T_VEBT: list_P7413028617227757229T_VEBT > nat > produc8243902056947475879T_VEBT ).
thf(tp_nth_Pr5826913651314560976_o_nat,type,
nth_Pr5826913651314560976_o_nat: list_P6285523579766656935_o_nat > nat > product_prod_o_nat ).
thf(tp_nth_Pr6456567536196504476um_num,type,
nth_Pr6456567536196504476um_num: list_P3744719386663036955um_num > nat > product_prod_num_num ).
thf(tp_nth_Pr6777367263587873994T_VEBT,type,
nth_Pr6777367263587873994T_VEBT: list_P7495141550334521929T_VEBT > nat > produc2504756804600209347T_VEBT ).
thf(tp_nth_Pr6837108013167703752BT_int,type,
nth_Pr6837108013167703752BT_int: list_P4547456442757143711BT_int > nat > produc4894624898956917775BT_int ).
thf(tp_nth_Pr7617993195940197384at_nat,type,
nth_Pr7617993195940197384at_nat: list_P6011104703257516679at_nat > nat > product_prod_nat_nat ).
thf(tp_nth_Pr8522763379788166057eger_o,type,
nth_Pr8522763379788166057eger_o: list_P8526636022914148096eger_o > nat > produc6271795597528267376eger_o ).
thf(tp_nth_Product_prod_o_o,type,
nth_Product_prod_o_o: list_P4002435161011370285od_o_o > nat > product_prod_o_o ).
thf(tp_nth_VEBT_VEBT,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(tp_nth_complex,type,
nth_complex: list_complex > nat > complex ).
thf(tp_nth_int,type,
nth_int: list_int > nat > int ).
thf(tp_nth_nat,type,
nth_nat: list_nat > nat > nat ).
thf(tp_nth_num,type,
nth_num: list_num > nat > num ).
thf(tp_nth_o,type,
nth_o: list_o > nat > $o ).
thf(tp_nth_real,type,
nth_real: list_real > nat > real ).
thf(tp_num_of_nat,type,
num_of_nat: nat > num ).
thf(tp_numera1916890842035813515d_enat,type,
numera1916890842035813515d_enat: num > extended_enat ).
thf(tp_numera6620942414471956472nteger,type,
numera6620942414471956472nteger: num > code_integer ).
thf(tp_numera6690914467698888265omplex,type,
numera6690914467698888265omplex: num > complex ).
thf(tp_numeral_numeral_int,type,
numeral_numeral_int: num > int ).
thf(tp_numeral_numeral_nat,type,
numeral_numeral_nat: num > nat ).
thf(tp_numeral_numeral_rat,type,
numeral_numeral_rat: num > rat ).
thf(tp_numeral_numeral_real,type,
numeral_numeral_real: num > real ).
thf(tp_of_int,type,
of_int: int > rat ).
thf(tp_one,type,
one: num ).
thf(tp_one_on7984719198319812577d_enat,type,
one_on7984719198319812577d_enat: extended_enat ).
thf(tp_one_one_Code_integer,type,
one_one_Code_integer: code_integer ).
thf(tp_one_one_complex,type,
one_one_complex: complex ).
thf(tp_one_one_int,type,
one_one_int: int ).
thf(tp_one_one_nat,type,
one_one_nat: nat ).
thf(tp_one_one_rat,type,
one_one_rat: rat ).
thf(tp_one_one_real,type,
one_one_real: real ).
thf(tp_ord_le1307284697595431911nteger,type,
ord_le1307284697595431911nteger: set_Code_integer > set_Code_integer > $o ).
thf(tp_ord_le211207098394363844omplex,type,
ord_le211207098394363844omplex: set_complex > set_complex > $o ).
thf(tp_ord_le2510731241096832064er_nat,type,
ord_le2510731241096832064er_nat: filter_nat > filter_nat > $o ).
thf(tp_ord_le2932123472753598470d_enat,type,
ord_le2932123472753598470d_enat: extended_enat > extended_enat > $o ).
thf(tp_ord_le3102999989581377725nteger,type,
ord_le3102999989581377725nteger: code_integer > code_integer > $o ).
thf(tp_ord_le3146513528884898305at_nat,type,
ord_le3146513528884898305at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(tp_ord_le4104064031414453916r_real,type,
ord_le4104064031414453916r_real: filter_real > filter_real > $o ).
thf(tp_ord_le4337996190870823476T_VEBT,type,
ord_le4337996190870823476T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).
thf(tp_ord_le4403425263959731960et_int,type,
ord_le4403425263959731960et_int: set_set_int > set_set_int > $o ).
thf(tp_ord_le4573692005234683329plex_o,type,
ord_le4573692005234683329plex_o: ( complex > $o ) > ( complex > $o ) > $o ).
thf(tp_ord_le6045566169113846134st_nat,type,
ord_le6045566169113846134st_nat: set_list_nat > set_list_nat > $o ).
thf(tp_ord_le6747313008572928689nteger,type,
ord_le6747313008572928689nteger: code_integer > code_integer > $o ).
thf(tp_ord_le704812498762024988_nat_o,type,
ord_le704812498762024988_nat_o: ( product_prod_nat_nat > $o ) > ( product_prod_nat_nat > $o ) > $o ).
thf(tp_ord_le7084787975880047091nteger,type,
ord_le7084787975880047091nteger: set_Code_integer > set_Code_integer > $o ).
thf(tp_ord_le72135733267957522d_enat,type,
ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).
thf(tp_ord_le7866589430770878221at_nat,type,
ord_le7866589430770878221at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > $o ).
thf(tp_ord_less_eq_int,type,
ord_less_eq_int: int > int > $o ).
thf(tp_ord_less_eq_int_o,type,
ord_less_eq_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(tp_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(tp_ord_less_eq_nat_o,type,
ord_less_eq_nat_o: ( nat > $o ) > ( nat > $o ) > $o ).
thf(tp_ord_less_eq_num,type,
ord_less_eq_num: num > num > $o ).
thf(tp_ord_less_eq_rat,type,
ord_less_eq_rat: rat > rat > $o ).
thf(tp_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(tp_ord_less_eq_real_o,type,
ord_less_eq_real_o: ( real > $o ) > ( real > $o ) > $o ).
thf(tp_ord_less_eq_set_int,type,
ord_less_eq_set_int: set_int > set_int > $o ).
thf(tp_ord_less_eq_set_nat,type,
ord_less_eq_set_nat: set_nat > set_nat > $o ).
thf(tp_ord_less_eq_set_num,type,
ord_less_eq_set_num: set_num > set_num > $o ).
thf(tp_ord_less_eq_set_rat,type,
ord_less_eq_set_rat: set_rat > set_rat > $o ).
thf(tp_ord_less_eq_set_real,type,
ord_less_eq_set_real: set_real > set_real > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_ord_less_num,type,
ord_less_num: num > num > $o ).
thf(tp_ord_less_rat,type,
ord_less_rat: rat > rat > $o ).
thf(tp_ord_less_real,type,
ord_less_real: real > real > $o ).
thf(tp_ord_less_set_complex,type,
ord_less_set_complex: set_complex > set_complex > $o ).
thf(tp_ord_less_set_int,type,
ord_less_set_int: set_int > set_int > $o ).
thf(tp_ord_less_set_nat,type,
ord_less_set_nat: set_nat > set_nat > $o ).
thf(tp_ord_less_set_num,type,
ord_less_set_num: set_num > set_num > $o ).
thf(tp_ord_less_set_rat,type,
ord_less_set_rat: set_rat > set_rat > $o ).
thf(tp_ord_less_set_real,type,
ord_less_set_real: set_real > set_real > $o ).
thf(tp_ord_less_set_set_int,type,
ord_less_set_set_int: set_set_int > set_set_int > $o ).
thf(tp_ord_ma741700101516333627d_enat,type,
ord_ma741700101516333627d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_ord_max_Code_integer,type,
ord_max_Code_integer: code_integer > code_integer > code_integer ).
thf(tp_ord_max_int,type,
ord_max_int: int > int > int ).
thf(tp_ord_max_nat,type,
ord_max_nat: nat > nat > nat ).
thf(tp_ord_max_num,type,
ord_max_num: num > num > num ).
thf(tp_ord_max_rat,type,
ord_max_rat: rat > rat > rat ).
thf(tp_ord_max_real,type,
ord_max_real: real > real > real ).
thf(tp_ord_max_set_int,type,
ord_max_set_int: set_int > set_int > set_int ).
thf(tp_ord_mi8085742599997312461d_enat,type,
ord_mi8085742599997312461d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_ord_min_nat,type,
ord_min_nat: nat > nat > nat ).
thf(tp_order_5726023648592871131at_nat,type,
order_5726023648592871131at_nat: ( nat > nat ) > $o ).
thf(tp_order_9091379641038594480t_real,type,
order_9091379641038594480t_real: ( nat > real ) > $o ).
thf(tp_order_Greatest_nat,type,
order_Greatest_nat: ( nat > $o ) > nat ).
thf(tp_order_mono_nat_nat,type,
order_mono_nat_nat: ( nat > nat ) > $o ).
thf(tp_order_mono_nat_real,type,
order_mono_nat_real: ( nat > real ) > $o ).
thf(tp_pi,type,
pi: real ).
thf(tp_plus_p3455044024723400733d_enat,type,
plus_p3455044024723400733d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_plus_p5714425477246183910nteger,type,
plus_p5714425477246183910nteger: code_integer > code_integer > code_integer ).
thf(tp_plus_plus_complex,type,
plus_plus_complex: complex > complex > complex ).
thf(tp_plus_plus_int,type,
plus_plus_int: int > int > int ).
thf(tp_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(tp_plus_plus_num,type,
plus_plus_num: num > num > num ).
thf(tp_plus_plus_rat,type,
plus_plus_rat: rat > rat > rat ).
thf(tp_plus_plus_real,type,
plus_plus_real: real > real > real ).
thf(tp_positive,type,
positive: rat > $o ).
thf(tp_pow,type,
pow: num > num > num ).
thf(tp_power_8256067586552552935nteger,type,
power_8256067586552552935nteger: code_integer > nat > code_integer ).
thf(tp_power_int_real,type,
power_int_real: real > int > real ).
thf(tp_power_power_complex,type,
power_power_complex: complex > nat > complex ).
thf(tp_power_power_int,type,
power_power_int: int > nat > int ).
thf(tp_power_power_nat,type,
power_power_nat: nat > nat > nat ).
thf(tp_power_power_rat,type,
power_power_rat: rat > nat > rat ).
thf(tp_power_power_real,type,
power_power_real: real > nat > real ).
thf(tp_powr_real,type,
powr_real: real > real > real ).
thf(tp_pred,type,
pred: nat > nat ).
thf(tp_pred_nat,type,
pred_nat: set_Pr1261947904930325089at_nat ).
thf(tp_pred_numeral,type,
pred_numeral: num > nat ).
thf(tp_produc1086072967326762835nteger,type,
produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
thf(tp_produc1195630363706982562at_num,type,
produc1195630363706982562at_num: nat > product_prod_nat_num > produc2963631642982155120at_num ).
thf(tp_produc1553301316500091796er_int,type,
produc1553301316500091796er_int: ( code_integer > code_integer > int ) > produc8923325533196201883nteger > int ).
thf(tp_produc1555791787009142072er_nat,type,
produc1555791787009142072er_nat: ( code_integer > code_integer > nat ) > produc8923325533196201883nteger > nat ).
thf(tp_produc1703576794950452218t_real,type,
produc1703576794950452218t_real: ( nat > nat > real ) > product_prod_nat_nat > real ).
thf(tp_produc1917071388513777916omplex,type,
produc1917071388513777916omplex: ( nat > nat > complex ) > product_prod_nat_nat > complex ).
thf(tp_produc2626176000494625587at_nat,type,
produc2626176000494625587at_nat: ( nat > nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat ).
thf(tp_produc27273713700761075at_nat,type,
produc27273713700761075at_nat: ( nat > nat > product_prod_nat_nat > product_prod_nat_nat ) > product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ).
thf(tp_produc2982872950893828659T_VEBT,type,
produc2982872950893828659T_VEBT: $o > vEBT_VEBT > produc2504756804600209347T_VEBT ).
thf(tp_produc3209952032786966637at_nat,type,
produc3209952032786966637at_nat: ( nat > nat > nat ) > produc7248412053542808358at_nat > produc4471711990508489141at_nat ).
thf(tp_produc3607205314601156340eger_o,type,
produc3607205314601156340eger_o: list_Code_integer > list_o > list_P8526636022914148096eger_o ).
thf(tp_produc4245557441103728435nt_int,type,
produc4245557441103728435nt_int: ( int > int > product_prod_int_int ) > product_prod_int_int > product_prod_int_int ).
thf(tp_produc457027306803732586at_nat,type,
produc457027306803732586at_nat: set_nat > ( nat > set_nat ) > set_Pr1261947904930325089at_nat ).
thf(tp_produc4743750530478302277T_VEBT,type,
produc4743750530478302277T_VEBT: list_VEBT_VEBT > list_VEBT_VEBT > list_P7413028617227757229T_VEBT ).
thf(tp_produc478579273971653890on_num,type,
produc478579273971653890on_num: ( nat > num > option_num ) > product_prod_nat_num > option_num ).
thf(tp_produc487386426758144856at_nat,type,
produc487386426758144856at_nat: nat > product_prod_nat_nat > produc7248412053542808358at_nat ).
thf(tp_produc4947309494688390418_int_o,type,
produc4947309494688390418_int_o: ( int > int > $o ) > product_prod_int_int > $o ).
thf(tp_produc537772716801021591T_VEBT,type,
produc537772716801021591T_VEBT: vEBT_VEBT > vEBT_VEBT > produc8243902056947475879T_VEBT ).
thf(tp_produc6081775807080527818_nat_o,type,
produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
thf(tp_produc6174133586879617921nteger,type,
produc6174133586879617921nteger: produc8923325533196201883nteger > code_integer ).
thf(tp_produc6207742614233964070at_rat,type,
produc6207742614233964070at_rat: ( nat > nat > rat ) > product_prod_nat_nat > rat ).
thf(tp_produc6499014454317279255nteger,type,
produc6499014454317279255nteger: ( code_integer > code_integer ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(tp_produc6677183202524767010eger_o,type,
produc6677183202524767010eger_o: code_integer > $o > produc6271795597528267376eger_o ).
thf(tp_produc6840382203811409530at_int,type,
produc6840382203811409530at_int: ( nat > nat > int ) > product_prod_nat_nat > int ).
thf(tp_produc6842872674320459806at_nat,type,
produc6842872674320459806at_nat: ( nat > nat > nat ) > product_prod_nat_nat > nat ).
thf(tp_produc6916734918728496179nteger,type,
produc6916734918728496179nteger: ( code_integer > code_integer > produc8923325533196201883nteger ) > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(tp_produc7156399406898700509T_VEBT,type,
produc7156399406898700509T_VEBT: list_nat > list_VEBT_VEBT > list_P5647936690300460905T_VEBT ).
thf(tp_produc7292646706713671643BT_int,type,
produc7292646706713671643BT_int: list_VEBT_VEBT > list_int > list_P4547456442757143711BT_int ).
thf(tp_produc7295137177222721919BT_nat,type,
produc7295137177222721919BT_nat: list_VEBT_VEBT > list_nat > list_P7037539587688870467BT_nat ).
thf(tp_produc7336495610019696514er_num,type,
produc7336495610019696514er_num: ( code_integer > code_integer > num ) > produc8923325533196201883nteger > num ).
thf(tp_produc736041933913180425BT_int,type,
produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).
thf(tp_produc738532404422230701BT_nat,type,
produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).
thf(tp_produc8211389475949308722nt_int,type,
produc8211389475949308722nt_int: ( int > int > int ) > product_prod_int_int > int ).
thf(tp_produc851828971589881931at_num,type,
produc851828971589881931at_num: ( nat > num > num ) > produc2963631642982155120at_num > produc3368934014287244435at_num ).
thf(tp_produc8721562602347293563VEBT_o,type,
produc8721562602347293563VEBT_o: vEBT_VEBT > $o > produc334124729049499915VEBT_o ).
thf(tp_produc8739625826339149834_nat_o,type,
produc8739625826339149834_nat_o: ( nat > nat > product_prod_nat_nat > $o ) > product_prod_nat_nat > product_prod_nat_nat > $o ).
thf(tp_produc9125791028180074456eger_o,type,
produc9125791028180074456eger_o: ( code_integer > code_integer > produc6271795597528267376eger_o ) > produc8923325533196201883nteger > produc6271795597528267376eger_o ).
thf(tp_product_Pair_int_int,type,
product_Pair_int_int: int > int > product_prod_int_int ).
thf(tp_product_Pair_nat_nat,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(tp_product_Pair_nat_num,type,
product_Pair_nat_num: nat > num > product_prod_nat_num ).
thf(tp_product_Pair_num_num,type,
product_Pair_num_num: num > num > product_prod_num_num ).
thf(tp_product_Pair_o_int,type,
product_Pair_o_int: $o > int > product_prod_o_int ).
thf(tp_product_Pair_o_nat,type,
product_Pair_o_nat: $o > nat > product_prod_o_nat ).
thf(tp_product_Pair_o_o,type,
product_Pair_o_o: $o > $o > product_prod_o_o ).
thf(tp_product_VEBT_VEBT_o,type,
product_VEBT_VEBT_o: list_VEBT_VEBT > list_o > list_P3126845725202233233VEBT_o ).
thf(tp_product_fst_int_int,type,
product_fst_int_int: product_prod_int_int > int ).
thf(tp_product_fst_nat_nat,type,
product_fst_nat_nat: product_prod_nat_nat > nat ).
thf(tp_product_nat_o,type,
product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).
thf(tp_product_num_num,type,
product_num_num: list_num > list_num > list_P3744719386663036955um_num ).
thf(tp_product_o_VEBT_VEBT,type,
product_o_VEBT_VEBT: list_o > list_VEBT_VEBT > list_P7495141550334521929T_VEBT ).
thf(tp_product_o_int,type,
product_o_int: list_o > list_int > list_P3795440434834930179_o_int ).
thf(tp_product_o_nat,type,
product_o_nat: list_o > list_nat > list_P6285523579766656935_o_nat ).
thf(tp_product_o_o,type,
product_o_o: list_o > list_o > list_P4002435161011370285od_o_o ).
thf(tp_product_snd_int_int,type,
product_snd_int_int: product_prod_int_int > int ).
thf(tp_product_snd_nat_nat,type,
product_snd_nat_nat: product_prod_nat_nat > nat ).
thf(tp_quotient_of,type,
quotient_of: rat > product_prod_int_int ).
thf(tp_re,type,
re: complex > real ).
thf(tp_real_V1022390504157884413omplex,type,
real_V1022390504157884413omplex: complex > real ).
thf(tp_real_V1485227260804924795R_real,type,
real_V1485227260804924795R_real: real > real > real ).
thf(tp_real_V2046097035970521341omplex,type,
real_V2046097035970521341omplex: real > complex > complex ).
thf(tp_real_V2521375963428798218omplex,type,
real_V2521375963428798218omplex: set_complex ).
thf(tp_real_V4546457046886955230omplex,type,
real_V4546457046886955230omplex: real > complex ).
thf(tp_real_V5970128139526366754l_real,type,
real_V5970128139526366754l_real: ( real > real ) > $o ).
thf(tp_real_V7735802525324610683m_real,type,
real_V7735802525324610683m_real: real > real ).
thf(tp_remdups_nat,type,
remdups_nat: list_nat > list_nat ).
thf(tp_rep_Integ,type,
rep_Integ: int > product_prod_nat_nat ).
thf(tp_rep_Rat,type,
rep_Rat: rat > product_prod_int_int ).
thf(tp_replic4235873036481779905at_nat,type,
replic4235873036481779905at_nat: nat > product_prod_nat_nat > list_P6011104703257516679at_nat ).
thf(tp_replicate_VEBT_VEBT,type,
replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(tp_replicate_complex,type,
replicate_complex: nat > complex > list_complex ).
thf(tp_replicate_int,type,
replicate_int: nat > int > list_int ).
thf(tp_replicate_nat,type,
replicate_nat: nat > nat > list_nat ).
thf(tp_replicate_o,type,
replicate_o: nat > $o > list_o ).
thf(tp_replicate_real,type,
replicate_real: nat > real > list_real ).
thf(tp_ring_17405671764205052669omplex,type,
ring_17405671764205052669omplex: int > complex ).
thf(tp_ring_18347121197199848620nteger,type,
ring_18347121197199848620nteger: int > code_integer ).
thf(tp_ring_1_Ints_real,type,
ring_1_Ints_real: set_real ).
thf(tp_ring_1_of_int_int,type,
ring_1_of_int_int: int > int ).
thf(tp_ring_1_of_int_rat,type,
ring_1_of_int_rat: int > rat ).
thf(tp_ring_1_of_int_real,type,
ring_1_of_int_real: int > real ).
thf(tp_root,type,
root: nat > real > real ).
thf(tp_semila1623282765462674594er_nat,type,
semila1623282765462674594er_nat: ( nat > nat > nat ) > nat > ( nat > nat > $o ) > ( nat > nat > $o ) > $o ).
thf(tp_semiri1314217659103216013at_int,type,
semiri1314217659103216013at_int: nat > int ).
thf(tp_semiri1316708129612266289at_nat,type,
semiri1316708129612266289at_nat: nat > nat ).
thf(tp_semiri1406184849735516958ct_int,type,
semiri1406184849735516958ct_int: nat > int ).
thf(tp_semiri1408675320244567234ct_nat,type,
semiri1408675320244567234ct_nat: nat > nat ).
thf(tp_semiri2265585572941072030t_real,type,
semiri2265585572941072030t_real: nat > real ).
thf(tp_semiri2816024913162550771omplex,type,
semiri2816024913162550771omplex: ( complex > complex ) > nat > complex > complex ).
thf(tp_semiri3624122377584611663nteger,type,
semiri3624122377584611663nteger: nat > code_integer ).
thf(tp_semiri4216267220026989637d_enat,type,
semiri4216267220026989637d_enat: nat > extended_enat ).
thf(tp_semiri4939895301339042750nteger,type,
semiri4939895301339042750nteger: nat > code_integer ).
thf(tp_semiri5044797733671781792omplex,type,
semiri5044797733671781792omplex: nat > complex ).
thf(tp_semiri5074537144036343181t_real,type,
semiri5074537144036343181t_real: nat > real ).
thf(tp_semiri681578069525770553at_rat,type,
semiri681578069525770553at_rat: nat > rat ).
thf(tp_semiri7260567687927622513x_real,type,
semiri7260567687927622513x_real: ( real > real ) > nat > real > real ).
thf(tp_semiri773545260158071498ct_rat,type,
semiri773545260158071498ct_rat: nat > rat ).
thf(tp_semiri7787848453975740701ux_rat,type,
semiri7787848453975740701ux_rat: ( rat > rat ) > nat > rat > rat ).
thf(tp_semiri8010041392384452111omplex,type,
semiri8010041392384452111omplex: nat > complex ).
thf(tp_semiri8420488043553186161ux_int,type,
semiri8420488043553186161ux_int: ( int > int ) > nat > int > int ).
thf(tp_semiri8422978514062236437ux_nat,type,
semiri8422978514062236437ux_nat: ( nat > nat ) > nat > nat > nat ).
thf(tp_set_Pr5648618587558075414at_nat,type,
set_Pr5648618587558075414at_nat: list_P6011104703257516679at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_set_VEBT_VEBT2,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(tp_set_complex2,type,
set_complex2: list_complex > set_complex ).
thf(tp_set_fo1517530859248394432omplex,type,
set_fo1517530859248394432omplex: ( nat > complex > complex ) > nat > nat > complex > complex ).
thf(tp_set_fo1949268297981939178at_rat,type,
set_fo1949268297981939178at_rat: ( nat > rat > rat ) > nat > nat > rat > rat ).
thf(tp_set_fo2581907887559384638at_int,type,
set_fo2581907887559384638at_int: ( nat > int > int ) > nat > nat > int > int ).
thf(tp_set_fo2584398358068434914at_nat,type,
set_fo2584398358068434914at_nat: ( nat > nat > nat ) > nat > nat > nat > nat ).
thf(tp_set_fo3111899725591712190t_real,type,
set_fo3111899725591712190t_real: ( nat > real > real ) > nat > nat > real > real ).
thf(tp_set_int2,type,
set_int2: list_int > set_int ).
thf(tp_set_nat2,type,
set_nat2: list_nat > set_nat ).
thf(tp_set_o2,type,
set_o2: list_o > set_o ).
thf(tp_set_or1210151606488870762an_nat,type,
set_or1210151606488870762an_nat: nat > set_nat ).
thf(tp_set_or1222579329274155063t_real,type,
set_or1222579329274155063t_real: real > real > set_real ).
thf(tp_set_or1266510415728281911st_int,type,
set_or1266510415728281911st_int: int > int > set_int ).
thf(tp_set_or1269000886237332187st_nat,type,
set_or1269000886237332187st_nat: nat > nat > set_nat ).
thf(tp_set_or1633881224788618240n_real,type,
set_or1633881224788618240n_real: real > real > set_real ).
thf(tp_set_or370866239135849197et_int,type,
set_or370866239135849197et_int: set_int > set_int > set_set_int ).
thf(tp_set_or4662586982721622107an_int,type,
set_or4662586982721622107an_int: int > int > set_int ).
thf(tp_set_or4665077453230672383an_nat,type,
set_or4665077453230672383an_nat: nat > nat > set_nat ).
thf(tp_set_or5832277885323065728an_int,type,
set_or5832277885323065728an_int: int > int > set_int ).
thf(tp_set_or5834768355832116004an_nat,type,
set_or5834768355832116004an_nat: nat > nat > set_nat ).
thf(tp_set_or5849166863359141190n_real,type,
set_or5849166863359141190n_real: real > set_real ).
thf(tp_set_or58775011639299419et_int,type,
set_or58775011639299419et_int: set_int > set_set_int ).
thf(tp_set_or5984915006950818249n_real,type,
set_or5984915006950818249n_real: real > set_real ).
thf(tp_set_or633870826150836451st_rat,type,
set_or633870826150836451st_rat: rat > rat > set_rat ).
thf(tp_set_or6656581121297822940st_int,type,
set_or6656581121297822940st_int: int > int > set_int ).
thf(tp_set_or6659071591806873216st_nat,type,
set_or6659071591806873216st_nat: nat > nat > set_nat ).
thf(tp_set_or7049704709247886629st_num,type,
set_or7049704709247886629st_num: num > num > set_num ).
thf(tp_set_or8419480210114673929d_enat,type,
set_or8419480210114673929d_enat: extended_enat > set_Extended_enat ).
thf(tp_set_ord_atLeast_nat,type,
set_ord_atLeast_nat: nat > set_nat ).
thf(tp_set_ord_atLeast_real,type,
set_ord_atLeast_real: real > set_real ).
thf(tp_set_ord_atMost_int,type,
set_ord_atMost_int: int > set_int ).
thf(tp_set_ord_atMost_nat,type,
set_ord_atMost_nat: nat > set_nat ).
thf(tp_set_ord_atMost_num,type,
set_ord_atMost_num: num > set_num ).
thf(tp_set_ord_atMost_rat,type,
set_ord_atMost_rat: rat > set_rat ).
thf(tp_set_ord_atMost_real,type,
set_ord_atMost_real: real > set_real ).
thf(tp_set_ord_lessThan_int,type,
set_ord_lessThan_int: int > set_int ).
thf(tp_set_ord_lessThan_nat,type,
set_ord_lessThan_nat: nat > set_nat ).
thf(tp_set_ord_lessThan_num,type,
set_ord_lessThan_num: num > set_num ).
thf(tp_set_ord_lessThan_rat,type,
set_ord_lessThan_rat: rat > set_rat ).
thf(tp_set_real2,type,
set_real2: list_real > set_real ).
thf(tp_sgn_sgn_Code_integer,type,
sgn_sgn_Code_integer: code_integer > code_integer ).
thf(tp_sgn_sgn_complex,type,
sgn_sgn_complex: complex > complex ).
thf(tp_sgn_sgn_int,type,
sgn_sgn_int: int > int ).
thf(tp_sgn_sgn_rat,type,
sgn_sgn_rat: rat > rat ).
thf(tp_sgn_sgn_real,type,
sgn_sgn_real: real > real ).
thf(tp_sin_coeff,type,
sin_coeff: nat > real ).
thf(tp_sin_complex,type,
sin_complex: complex > complex ).
thf(tp_sin_real,type,
sin_real: real > real ).
thf(tp_sinh_real,type,
sinh_real: real > real ).
thf(tp_size_list_VEBT_VEBT,type,
size_list_VEBT_VEBT: ( vEBT_VEBT > nat ) > list_VEBT_VEBT > nat ).
thf(tp_size_num,type,
size_num: num > nat ).
thf(tp_size_o8335143837870341156at_nat,type,
size_o8335143837870341156at_nat: ( product_prod_nat_nat > nat ) > option4927543243414619207at_nat > nat ).
thf(tp_size_option_num,type,
size_option_num: ( num > nat ) > option_num > nat ).
thf(tp_size_s1515746228057227161od_o_o,type,
size_s1515746228057227161od_o_o: list_P4002435161011370285od_o_o > nat ).
thf(tp_size_s170228958280169651at_nat,type,
size_s170228958280169651at_nat: option4927543243414619207at_nat > nat ).
thf(tp_size_s2953683556165314199_o_int,type,
size_s2953683556165314199_o_int: list_P3795440434834930179_o_int > nat ).
thf(tp_size_s3445333598471063425nteger,type,
size_s3445333598471063425nteger: list_Code_integer > nat ).
thf(tp_size_s3451745648224563538omplex,type,
size_s3451745648224563538omplex: list_complex > nat ).
thf(tp_size_s3661962791536183091BT_int,type,
size_s3661962791536183091BT_int: list_P4547456442757143711BT_int > nat ).
thf(tp_size_s4313452262239582901T_VEBT,type,
size_s4313452262239582901T_VEBT: list_P7495141550334521929T_VEBT > nat ).
thf(tp_size_s4762443039079500285T_VEBT,type,
size_s4762443039079500285T_VEBT: list_P5647936690300460905T_VEBT > nat ).
thf(tp_size_s5443766701097040955_o_nat,type,
size_s5443766701097040955_o_nat: list_P6285523579766656935_o_nat > nat ).
thf(tp_size_s5460976970255530739at_nat,type,
size_s5460976970255530739at_nat: list_P6011104703257516679at_nat > nat ).
thf(tp_size_s6152045936467909847BT_nat,type,
size_s6152045936467909847BT_nat: list_P7037539587688870467BT_nat > nat ).
thf(tp_size_s6491369823275344609_nat_o,type,
size_s6491369823275344609_nat_o: list_P7333126701944960589_nat_o > nat ).
thf(tp_size_s6755466524823107622T_VEBT,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(tp_size_s7466405169056248089T_VEBT,type,
size_s7466405169056248089T_VEBT: list_P7413028617227757229T_VEBT > nat ).
thf(tp_size_s9168528473962070013VEBT_o,type,
size_s9168528473962070013VEBT_o: list_P3126845725202233233VEBT_o > nat ).
thf(tp_size_size_VEBT_VEBT,type,
size_size_VEBT_VEBT: vEBT_VEBT > nat ).
thf(tp_size_size_list_int,type,
size_size_list_int: list_int > nat ).
thf(tp_size_size_list_nat,type,
size_size_list_nat: list_nat > nat ).
thf(tp_size_size_list_num,type,
size_size_list_num: list_num > nat ).
thf(tp_size_size_list_o,type,
size_size_list_o: list_o > nat ).
thf(tp_size_size_list_real,type,
size_size_list_real: list_real > nat ).
thf(tp_size_size_num,type,
size_size_num: num > nat ).
thf(tp_size_size_option_num,type,
size_size_option_num: option_num > nat ).
thf(tp_some_P7363390416028606310at_nat,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
thf(tp_some_num,type,
some_num: num > option_num ).
thf(tp_sorted_wrt_int,type,
sorted_wrt_int: ( int > int > $o ) > list_int > $o ).
thf(tp_sorted_wrt_nat,type,
sorted_wrt_nat: ( nat > nat > $o ) > list_nat > $o ).
thf(tp_sqr,type,
sqr: num > num ).
thf(tp_sqrt,type,
sqrt: real > real ).
thf(tp_strict1292158309912662752at_nat,type,
strict1292158309912662752at_nat: ( nat > nat ) > set_nat > $o ).
thf(tp_suc,type,
suc: nat > nat ).
thf(tp_suminf_complex,type,
suminf_complex: ( nat > complex ) > complex ).
thf(tp_suminf_int,type,
suminf_int: ( nat > int ) > int ).
thf(tp_suminf_nat,type,
suminf_nat: ( nat > nat ) > nat ).
thf(tp_suminf_real,type,
suminf_real: ( nat > real ) > real ).
thf(tp_summable_complex,type,
summable_complex: ( nat > complex ) > $o ).
thf(tp_summable_int,type,
summable_int: ( nat > int ) > $o ).
thf(tp_summable_nat,type,
summable_nat: ( nat > nat ) > $o ).
thf(tp_summable_real,type,
summable_real: ( nat > real ) > $o ).
thf(tp_summary,type,
summary: vEBT_VEBT ).
thf(tp_sums_complex,type,
sums_complex: ( nat > complex ) > complex > $o ).
thf(tp_sums_int,type,
sums_int: ( nat > int ) > int > $o ).
thf(tp_sums_nat,type,
sums_nat: ( nat > nat ) > nat > $o ).
thf(tp_sums_real,type,
sums_real: ( nat > real ) > real > $o ).
thf(tp_sup_su3973961784419623482d_enat,type,
sup_su3973961784419623482d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_sup_sup_nat,type,
sup_sup_nat: nat > nat > nat ).
thf(tp_sup_sup_set_nat,type,
sup_sup_set_nat: set_nat > set_nat > set_nat ).
thf(tp_take_nat,type,
take_nat: nat > list_nat > list_nat ).
thf(tp_tan_complex,type,
tan_complex: complex > complex ).
thf(tp_tan_real,type,
tan_real: real > real ).
thf(tp_tanh_real,type,
tanh_real: real > real ).
thf(tp_the_in5290026491893676941l_real,type,
the_in5290026491893676941l_real: set_real > ( real > real ) > real > real ).
thf(tp_the_int,type,
the_int: ( int > $o ) > int ).
thf(tp_the_real,type,
the_real: ( real > $o ) > real ).
thf(tp_times_3573771949741848930nteger,type,
times_3573771949741848930nteger: code_integer > code_integer > code_integer ).
thf(tp_times_7803423173614009249d_enat,type,
times_7803423173614009249d_enat: extended_enat > extended_enat > extended_enat ).
thf(tp_times_times_complex,type,
times_times_complex: complex > complex > complex ).
thf(tp_times_times_int,type,
times_times_int: int > int > int ).
thf(tp_times_times_nat,type,
times_times_nat: nat > nat > nat ).
thf(tp_times_times_num,type,
times_times_num: num > num > num ).
thf(tp_times_times_rat,type,
times_times_rat: rat > rat > rat ).
thf(tp_times_times_real,type,
times_times_real: real > real > real ).
thf(tp_tl_nat,type,
tl_nat: list_nat > list_nat ).
thf(tp_top_to1996260823553986621t_unit,type,
top_to1996260823553986621t_unit: set_Product_unit ).
thf(tp_top_top_set_char,type,
top_top_set_char: set_char ).
thf(tp_top_top_set_nat,type,
top_top_set_nat: set_nat ).
thf(tp_top_top_set_o,type,
top_top_set_o: set_o ).
thf(tp_top_top_set_real,type,
top_top_set_real: set_real ).
thf(tp_topolo1459490580787246023eq_num,type,
topolo1459490580787246023eq_num: ( nat > num ) > $o ).
thf(tp_topolo2177554685111907308n_real,type,
topolo2177554685111907308n_real: real > set_real > filter_real ).
thf(tp_topolo2815343760600316023s_real,type,
topolo2815343760600316023s_real: real > filter_real ).
thf(tp_topolo3100542954746470799et_int,type,
topolo3100542954746470799et_int: ( nat > set_int ) > $o ).
thf(tp_topolo4055970368930404560y_real,type,
topolo4055970368930404560y_real: ( nat > real ) > $o ).
thf(tp_topolo4267028734544971653eq_rat,type,
topolo4267028734544971653eq_rat: ( nat > rat ) > $o ).
thf(tp_topolo4422821103128117721l_real,type,
topolo4422821103128117721l_real: filter_real > ( real > real ) > $o ).
thf(tp_topolo4899668324122417113eq_int,type,
topolo4899668324122417113eq_int: ( nat > int ) > $o ).
thf(tp_topolo4902158794631467389eq_nat,type,
topolo4902158794631467389eq_nat: ( nat > nat ) > $o ).
thf(tp_topolo5044208981011980120l_real,type,
topolo5044208981011980120l_real: set_real > ( real > real ) > $o ).
thf(tp_topolo6980174941875973593q_real,type,
topolo6980174941875973593q_real: ( nat > real ) > $o ).
thf(tp_transi2905341329935302413cl_nat,type,
transi2905341329935302413cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_transi6264000038957366511cl_nat,type,
transi6264000038957366511cl_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_treeList,type,
treeList: list_VEBT_VEBT ).
thf(tp_uminus1351360451143612070nteger,type,
uminus1351360451143612070nteger: code_integer > code_integer ).
thf(tp_uminus1482373934393186551omplex,type,
uminus1482373934393186551omplex: complex > complex ).
thf(tp_uminus1532241313380277803et_int,type,
uminus1532241313380277803et_int: set_int > set_int ).
thf(tp_uminus5710092332889474511et_nat,type,
uminus5710092332889474511et_nat: set_nat > set_nat ).
thf(tp_uminus612125837232591019t_real,type,
uminus612125837232591019t_real: set_real > set_real ).
thf(tp_uminus6524753893492686040at_nat,type,
uminus6524753893492686040at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_uminus8566677241136511917omplex,type,
uminus8566677241136511917omplex: set_complex > set_complex ).
thf(tp_uminus_uminus_int,type,
uminus_uminus_int: int > int ).
thf(tp_uminus_uminus_rat,type,
uminus_uminus_rat: rat > rat ).
thf(tp_uminus_uminus_real,type,
uminus_uminus_real: real > real ).
thf(tp_unique3096191561947761185of_nat,type,
unique3096191561947761185of_nat: nat > char ).
thf(tp_unique3479559517661332726nteger,type,
unique3479559517661332726nteger: num > num > produc8923325533196201883nteger ).
thf(tp_unique4921790084139445826nteger,type,
unique4921790084139445826nteger: num > produc8923325533196201883nteger > produc8923325533196201883nteger ).
thf(tp_unique5024387138958732305ep_int,type,
unique5024387138958732305ep_int: num > product_prod_int_int > product_prod_int_int ).
thf(tp_unique5026877609467782581ep_nat,type,
unique5026877609467782581ep_nat: num > product_prod_nat_nat > product_prod_nat_nat ).
thf(tp_unique5052692396658037445od_int,type,
unique5052692396658037445od_int: num > num > product_prod_int_int ).
thf(tp_unique5055182867167087721od_nat,type,
unique5055182867167087721od_nat: num > num > product_prod_nat_nat ).
thf(tp_unique5706413561485394159nteger,type,
unique5706413561485394159nteger: produc8923325533196201883nteger > $o ).
thf(tp_unique6319869463603278526ux_int,type,
unique6319869463603278526ux_int: product_prod_int_int > $o ).
thf(tp_unique6322359934112328802ux_nat,type,
unique6322359934112328802ux_nat: product_prod_nat_nat > $o ).
thf(tp_upt,type,
upt: nat > nat > list_nat ).
thf(tp_upto,type,
upto: int > int > list_int ).
thf(tp_upto_aux,type,
upto_aux: int > int > list_int > list_int ).
thf(tp_upto_rel,type,
upto_rel: product_prod_int_int > product_prod_int_int > $o ).
thf(tp_vEBT_Leaf,type,
vEBT_Leaf: $o > $o > vEBT_VEBT ).
thf(tp_vEBT_Node,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(tp_vEBT_V4351362008482014158ma_rel,type,
vEBT_V4351362008482014158ma_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(tp_vEBT_V5719532721284313246member,type,
vEBT_V5719532721284313246member: vEBT_VEBT > nat > $o ).
thf(tp_vEBT_V5765760719290551771er_rel,type,
vEBT_V5765760719290551771er_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(tp_vEBT_V5917875025757280293ildren,type,
vEBT_V5917875025757280293ildren: nat > list_VEBT_VEBT > nat > $o ).
thf(tp_vEBT_V6963167321098673237ll_rel,type,
vEBT_V6963167321098673237ll_rel: vEBT_VEBT > vEBT_VEBT > $o ).
thf(tp_vEBT_V8194947554948674370ptions,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(tp_vEBT_VEBT_bit_concat,type,
vEBT_VEBT_bit_concat: nat > nat > nat > nat ).
thf(tp_vEBT_VEBT_high,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(tp_vEBT_VEBT_low,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(tp_vEBT_VEBT_membermima,type,
vEBT_VEBT_membermima: vEBT_VEBT > nat > $o ).
thf(tp_vEBT_VEBT_minNull,type,
vEBT_VEBT_minNull: vEBT_VEBT > $o ).
thf(tp_vEBT_VEBT_set_vebt,type,
vEBT_VEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(tp_vEBT_VEBT_valid,type,
vEBT_VEBT_valid: vEBT_VEBT > nat > $o ).
thf(tp_vEBT_VEBT_valid_rel,type,
vEBT_VEBT_valid_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(tp_vEBT_invar_vebt,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(tp_vEBT_set_vebt,type,
vEBT_set_vebt: vEBT_VEBT > set_nat ).
thf(tp_vEBT_size_VEBT,type,
vEBT_size_VEBT: vEBT_VEBT > nat ).
thf(tp_vEBT_v4011308405150292612up_rel,type,
vEBT_v4011308405150292612up_rel: nat > nat > $o ).
thf(tp_vEBT_vebt_buildup,type,
vEBT_vebt_buildup: nat > vEBT_VEBT ).
thf(tp_vEBT_vebt_insert,type,
vEBT_vebt_insert: vEBT_VEBT > nat > vEBT_VEBT ).
thf(tp_vEBT_vebt_insert_rel,type,
vEBT_vebt_insert_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(tp_vEBT_vebt_member,type,
vEBT_vebt_member: vEBT_VEBT > nat > $o ).
thf(tp_vEBT_vebt_member_rel,type,
vEBT_vebt_member_rel: produc9072475918466114483BT_nat > produc9072475918466114483BT_nat > $o ).
thf(tp_xa,type,
xa: nat ).
thf(tp_zero_n1201886186963655149omplex,type,
zero_n1201886186963655149omplex: $o > complex ).
thf(tp_zero_n2052037380579107095ol_rat,type,
zero_n2052037380579107095ol_rat: $o > rat ).
thf(tp_zero_n2684676970156552555ol_int,type,
zero_n2684676970156552555ol_int: $o > int ).
thf(tp_zero_n2687167440665602831ol_nat,type,
zero_n2687167440665602831ol_nat: $o > nat ).
thf(tp_zero_n3304061248610475627l_real,type,
zero_n3304061248610475627l_real: $o > real ).
thf(tp_zero_n356916108424825756nteger,type,
zero_n356916108424825756nteger: $o > code_integer ).
thf(tp_zero_z3403309356797280102nteger,type,
zero_z3403309356797280102nteger: code_integer ).
thf(tp_zero_z5237406670263579293d_enat,type,
zero_z5237406670263579293d_enat: extended_enat ).
thf(tp_zero_zero_complex,type,
zero_zero_complex: complex ).
thf(tp_zero_zero_int,type,
zero_zero_int: int ).
thf(tp_zero_zero_nat,type,
zero_zero_nat: nat ).
thf(tp_zero_zero_rat,type,
zero_zero_rat: rat ).
thf(tp_zero_zero_real,type,
zero_zero_real: real ).
thf(3,axiom,
! [P: $o] :
( ( P = $true )
| ( P = $false ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_If_3_1_If_001t__Product____Type__Oprod_It__Code____Numeral__Ointeger_Mt__Code____Numeral__Ointeger_J_T) ).
thf(10253,axiom,
ord_less_eq_nat @ mi @ ma,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1__C5_Ohyps_C_I7_J) ).
thf(10254,axiom,
~ ( ( xa = mi )
| ( xa = ma ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_False) ).
thf(10255,conjecture,
( ( xa != mi )
& ( xa != ma ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(10256,negated_conjecture,
( ( ( xa != mi )
& ( xa != ma ) )
= $false ),
inference(negate_conjecture,[status(cth)],[10255]) ).
thf(10257,plain,
( ( ( xa != mi )
& ( xa != ma ) )
= $false ),
inference(unfold_def,[status(thm)],[10256]) ).
thf(10258,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(10259,plain,
( ( ord_less_eq_nat @ mi @ ma )
= $true ),
inference(unfold_def,[status(thm)],[10253]) ).
thf(10260,plain,
( ( ~ ( ( xa = mi )
| ( xa = ma ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10254]) ).
thf(10261,plain,
( ( xa != mi )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[10257]) ).
thf(10262,plain,
( ( xa != ma )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[10257]) ).
thf(10263,plain,
( ( ~ ( ( xa != mi ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10261]) ).
thf(10264,plain,
( ( ~ ( ( xa != ma ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[10262]) ).
thf(10265,plain,
( ( ~ ( ( xa = mi )
| ( xa = ma ) ) )
= $true ),
inference(copy,[status(thm)],[10260]) ).
thf(10266,plain,
( ( ord_less_eq_nat @ mi @ ma )
= $true ),
inference(copy,[status(thm)],[10259]) ).
thf(10267,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[10258]) ).
thf(10268,plain,
( ( ~ ( ( xa != mi ) ) )
= $true ),
inference(copy,[status(thm)],[10263]) ).
thf(10269,plain,
( ( ~ ( ( xa != mi ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10268]) ).
thf(10270,plain,
( ( ( xa = mi )
| ( xa = ma ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10265]) ).
thf(10271,plain,
! [SV1: $o] :
( ( ( SV1 = $true )
| ( SV1 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[10267]) ).
thf(10272,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[10267]) ).
thf(10273,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[10267]) ).
thf(10274,plain,
( ( xa != mi )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10269]) ).
thf(10275,plain,
( ( xa = mi )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10270]) ).
thf(10276,plain,
( ( xa = ma )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10270]) ).
thf(10277,plain,
! [SV1: $o] :
( ( ( SV1 = $true )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10271]) ).
thf(10278,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10272]) ).
thf(10279,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10273]) ).
thf(10280,plain,
( ( xa = mi )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10274]) ).
thf(10281,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $true )
| ~ ( ~ SV1
| ~ $true ) )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10277]) ).
thf(10282,plain,
! [SV1: $o] :
( ( ( SV1 = $true )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10277]) ).
thf(10283,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10278]) ).
thf(10284,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10278]) ).
thf(10285,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10279]) ).
thf(10286,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10279]) ).
thf(10287,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $true ) )
= $true )
| ( ( ~ ( ~ SV1
| ~ $true ) )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10281]) ).
thf(10288,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false )
| ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10282]) ).
thf(10289,plain,
! [SV1: $o] :
( ( ( SV1 = $false )
= $true )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10282]) ).
thf(10290,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10283]) ).
thf(10291,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10284]) ).
thf(10292,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10284]) ).
thf(10293,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10285]) ).
thf(10294,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10286]) ).
thf(10295,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10286]) ).
thf(10296,plain,
! [SV1: $o] :
( ( ( SV1
| $true )
= $false )
| ( ( ~ ( ~ SV1
| ~ $true ) )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10287]) ).
thf(10297,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false ) )
= $true )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10288]) ).
thf(10298,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10290]) ).
thf(10299,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10291]) ).
thf(10300,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10293]) ).
thf(10301,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10294]) ).
thf(10302,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ( ~ SV1
| ~ $true ) )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10296]) ).
thf(10303,plain,
! [SV1: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV1
| ~ $true ) )
= $true )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10296]) ).
thf(10304,plain,
! [SV1: $o] :
( ( ( SV1
| $false )
= $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10297]) ).
thf(10305,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10298]) ).
thf(10306,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10298]) ).
thf(10307,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10299]) ).
thf(10308,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10300]) ).
thf(10309,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10300]) ).
thf(10310,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10301]) ).
thf(10311,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $true )
= $false )
| ( SV1 = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10302]) ).
thf(10312,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10303]) ).
thf(10313,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10304]) ).
thf(10314,plain,
! [SV1: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10304]) ).
thf(10315,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10305]) ).
thf(10316,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10306]) ).
thf(10317,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10307]) ).
thf(10318,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10307]) ).
thf(10319,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10308]) ).
thf(10320,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10309]) ).
thf(10321,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10310]) ).
thf(10322,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10310]) ).
thf(10323,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( SV1 = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10311]) ).
thf(10324,plain,
! [SV1: $o] :
( ( ( ~ $true ) = $false )
| ( SV1 = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10311]) ).
thf(10325,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( $true = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10312]) ).
thf(10326,plain,
! [SV1: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10312]) ).
thf(10327,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( SV1 = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10313]) ).
thf(10328,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10314]) ).
thf(10329,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10315]) ).
thf(10330,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10315]) ).
thf(10331,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10316]) ).
thf(10332,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10316]) ).
thf(10333,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10317]) ).
thf(10334,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10318]) ).
thf(10335,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10319]) ).
thf(10336,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10319]) ).
thf(10337,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10320]) ).
thf(10338,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10320]) ).
thf(10339,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10321]) ).
thf(10340,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10322]) ).
thf(10341,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( SV1 = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10323]) ).
thf(10342,plain,
! [SV1: $o] :
( ( $true = $true )
| ( SV1 = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10324]) ).
thf(10343,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( $true = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10325]) ).
thf(10344,plain,
! [SV1: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV1 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10326]) ).
thf(10345,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( SV1 = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10327]) ).
thf(10346,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( SV1 = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10327]) ).
thf(10347,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( $false = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10328]) ).
thf(10348,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10328]) ).
thf(10349,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10329]) ).
thf(10350,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10330]) ).
thf(10351,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10331]) ).
thf(10352,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10332]) ).
thf(10353,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10333]) ).
thf(10354,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10333]) ).
thf(10355,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10334]) ).
thf(10356,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10334]) ).
thf(10357,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10335]) ).
thf(10358,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10336]) ).
thf(10359,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10337]) ).
thf(10360,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10338]) ).
thf(10361,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10339]) ).
thf(10362,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10339]) ).
thf(10363,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10340]) ).
thf(10364,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10340]) ).
thf(10365,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false )
| ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10341]) ).
thf(10366,plain,
! [SV1: $o] :
( ( ( SV1 = $false )
= $true )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10341]) ).
thf(10367,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false )
| ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10342]) ).
thf(10368,plain,
! [SV1: $o] :
( ( ( SV1 = $false )
= $true )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10342]) ).
thf(10369,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false )
| ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10343]) ).
thf(10370,plain,
! [SV1: $o] :
( ( ( SV1 = $false )
= $true )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10343]) ).
thf(10371,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false )
| ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10344]) ).
thf(10372,plain,
! [SV1: $o] :
( ( ( SV1 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10344]) ).
thf(10373,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( SV1 = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10345]) ).
thf(10374,plain,
! [SV1: $o] :
( ( $false = $true )
| ( SV1 = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10346]) ).
thf(10375,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( $false = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10347]) ).
thf(10376,plain,
! [SV1: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV1 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10348]) ).
thf(10377,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10349]) ).
thf(10378,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10349]) ).
thf(10379,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10350]) ).
thf(10380,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10350]) ).
thf(10381,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10351]) ).
thf(10382,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10351]) ).
thf(10383,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10352]) ).
thf(10384,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10352]) ).
thf(10385,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10353]) ).
thf(10386,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10354]) ).
thf(10387,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10355]) ).
thf(10388,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10356]) ).
thf(10389,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10357]) ).
thf(10390,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10357]) ).
thf(10391,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10358]) ).
thf(10392,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10358]) ).
thf(10393,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10359]) ).
thf(10394,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10359]) ).
thf(10395,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10360]) ).
thf(10396,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10360]) ).
thf(10397,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10361]) ).
thf(10398,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10362]) ).
thf(10399,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10363]) ).
thf(10400,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10364]) ).
thf(10401,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false ) )
= $true )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10365]) ).
thf(10402,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false ) )
= $true )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10367]) ).
thf(10403,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false ) )
= $true )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10369]) ).
thf(10404,plain,
! [SV1: $o] :
( ( ( ~ ( SV1
| $false ) )
= $true )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10371]) ).
thf(10405,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10377]) ).
thf(10406,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10379]) ).
thf(10407,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10381]) ).
thf(10408,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10383]) ).
thf(10409,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10389]) ).
thf(10410,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10391]) ).
thf(10411,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10393]) ).
thf(10412,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10395]) ).
thf(10413,plain,
! [SV1: $o] :
( ( ( SV1
| $false )
= $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10401]) ).
thf(10414,plain,
! [SV1: $o] :
( ( ( SV1
| $false )
= $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10402]) ).
thf(10415,plain,
! [SV1: $o] :
( ( ( SV1
| $false )
= $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10403]) ).
thf(10416,plain,
! [SV1: $o] :
( ( ( SV1
| $false )
= $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10404]) ).
thf(10417,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10405]) ).
thf(10418,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10406]) ).
thf(10419,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10407]) ).
thf(10420,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10408]) ).
thf(10421,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10409]) ).
thf(10422,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10410]) ).
thf(10423,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10411]) ).
thf(10424,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10412]) ).
thf(10425,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10413]) ).
thf(10426,plain,
! [SV1: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10413]) ).
thf(10427,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10414]) ).
thf(10428,plain,
! [SV1: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10414]) ).
thf(10429,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10415]) ).
thf(10430,plain,
! [SV1: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10415]) ).
thf(10431,plain,
! [SV1: $o] :
( ( SV1 = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10416]) ).
thf(10432,plain,
! [SV1: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV1
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10416]) ).
thf(10433,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10417]) ).
thf(10434,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10417]) ).
thf(10435,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10418]) ).
thf(10436,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10418]) ).
thf(10437,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10419]) ).
thf(10438,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10419]) ).
thf(10439,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10420]) ).
thf(10440,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10420]) ).
thf(10441,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10421]) ).
thf(10442,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10421]) ).
thf(10443,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10422]) ).
thf(10444,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10422]) ).
thf(10445,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10423]) ).
thf(10446,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10423]) ).
thf(10447,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10424]) ).
thf(10448,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10424]) ).
thf(10449,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( SV1 = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10425]) ).
thf(10450,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( $false = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10426]) ).
thf(10451,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( SV1 = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10427]) ).
thf(10452,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( $false = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10428]) ).
thf(10453,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( SV1 = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10429]) ).
thf(10454,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10430]) ).
thf(10455,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( SV1 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10431]) ).
thf(10456,plain,
! [SV1: $o] :
( ( ( ~ SV1
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10432]) ).
thf(10457,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10433]) ).
thf(10458,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10434]) ).
thf(10459,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10435]) ).
thf(10460,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10436]) ).
thf(10461,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10437]) ).
thf(10462,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10438]) ).
thf(10463,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10439]) ).
thf(10464,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10440]) ).
thf(10465,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10441]) ).
thf(10466,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10442]) ).
thf(10467,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10443]) ).
thf(10468,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10444]) ).
thf(10469,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10445]) ).
thf(10470,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10446]) ).
thf(10471,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10447]) ).
thf(10472,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10448]) ).
thf(10473,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( SV1 = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10449]) ).
thf(10474,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( SV1 = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10449]) ).
thf(10475,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( $false = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10450]) ).
thf(10476,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10450]) ).
thf(10477,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( SV1 = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10451]) ).
thf(10478,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( SV1 = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10451]) ).
thf(10479,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( $false = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10452]) ).
thf(10480,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10452]) ).
thf(10481,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( SV1 = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10453]) ).
thf(10482,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( SV1 = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10453]) ).
thf(10483,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10454]) ).
thf(10484,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10454]) ).
thf(10485,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( SV1 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10455]) ).
thf(10486,plain,
! [SV1: $o] :
( ( ( ~ $false ) = $false )
| ( SV1 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10455]) ).
thf(10487,plain,
! [SV1: $o] :
( ( ( ~ SV1 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10456]) ).
thf(10488,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10456]) ).
thf(10489,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10457]) ).
thf(10490,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10457]) ).
thf(10491,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10458]) ).
thf(10492,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10458]) ).
thf(10493,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10459]) ).
thf(10494,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10459]) ).
thf(10495,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10460]) ).
thf(10496,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10460]) ).
thf(10497,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10461]) ).
thf(10498,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10461]) ).
thf(10499,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10462]) ).
thf(10500,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10462]) ).
thf(10501,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10463]) ).
thf(10502,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10463]) ).
thf(10503,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10464]) ).
thf(10504,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10464]) ).
thf(10505,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10465]) ).
thf(10506,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10465]) ).
thf(10507,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10466]) ).
thf(10508,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10466]) ).
thf(10509,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10467]) ).
thf(10510,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10467]) ).
thf(10511,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10468]) ).
thf(10512,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10468]) ).
thf(10513,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10469]) ).
thf(10514,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10469]) ).
thf(10515,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10470]) ).
thf(10516,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10470]) ).
thf(10517,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10471]) ).
thf(10518,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10471]) ).
thf(10519,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10472]) ).
thf(10520,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10472]) ).
thf(10521,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( SV1 = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10473]) ).
thf(10522,plain,
! [SV1: $o] :
( ( $false = $true )
| ( SV1 = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10474]) ).
thf(10523,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( $false = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10475]) ).
thf(10524,plain,
! [SV1: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV1 = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10476]) ).
thf(10525,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( SV1 = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10477]) ).
thf(10526,plain,
! [SV1: $o] :
( ( $false = $true )
| ( SV1 = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10478]) ).
thf(10527,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( $false = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10479]) ).
thf(10528,plain,
! [SV1: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV1 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10480]) ).
thf(10529,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( SV1 = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10481]) ).
thf(10530,plain,
! [SV1: $o] :
( ( $false = $true )
| ( SV1 = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10482]) ).
thf(10531,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10483]) ).
thf(10532,plain,
! [SV1: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV1 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10484]) ).
thf(10533,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( SV1 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10485]) ).
thf(10534,plain,
! [SV1: $o] :
( ( $false = $true )
| ( SV1 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10486]) ).
thf(10535,plain,
! [SV1: $o] :
( ( SV1 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10487]) ).
thf(10536,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10488]) ).
thf(10537,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10489]) ).
thf(10538,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10490]) ).
thf(10539,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10491]) ).
thf(10540,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10492]) ).
thf(10541,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10493]) ).
thf(10542,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10494]) ).
thf(10543,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10495]) ).
thf(10544,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10496]) ).
thf(10545,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10497]) ).
thf(10546,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10498]) ).
thf(10547,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10499]) ).
thf(10548,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10500]) ).
thf(10549,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10501]) ).
thf(10550,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10502]) ).
thf(10551,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10503]) ).
thf(10552,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10504]) ).
thf(10553,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10505]) ).
thf(10554,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10506]) ).
thf(10555,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10507]) ).
thf(10556,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10508]) ).
thf(10557,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10509]) ).
thf(10558,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10510]) ).
thf(10559,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10511]) ).
thf(10560,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10512]) ).
thf(10561,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10513]) ).
thf(10562,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10514]) ).
thf(10563,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10515]) ).
thf(10564,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10516]) ).
thf(10565,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10517]) ).
thf(10566,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10518]) ).
thf(10567,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10519]) ).
thf(10568,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10520]) ).
thf(10569,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10266,10568,10567,10566,10565,10564,10563,10562,10561,10560,10559,10558,10557,10556,10555,10554,10553,10552,10551,10550,10549,10548,10547,10546,10545,10544,10543,10542,10541,10540,10539,10538,10537,10536,10535,10534,10533,10532,10531,10530,10529,10528,10527,10526,10525,10524,10523,10522,10521,10400,10399,10398,10397,10396,10394,10392,10390,10388,10387,10386,10385,10384,10382,10380,10378,10376,10375,10374,10373,10372,10370,10368,10366,10295,10292,10289,10280,10276,10275]) ).
thf(10570,plain,
( ( ~ ( ( xa = mi )
| ( xa = ma ) ) )
= $true ),
inference(copy,[status(thm)],[10260]) ).
thf(10571,plain,
( ( ord_less_eq_nat @ mi @ ma )
= $true ),
inference(copy,[status(thm)],[10259]) ).
thf(10572,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[10258]) ).
thf(10573,plain,
( ( ~ ( ( xa != ma ) ) )
= $true ),
inference(copy,[status(thm)],[10264]) ).
thf(10574,plain,
( ( ~ ( ( xa != ma ) ) )
= $true ),
inference(unfold_def,[status(thm)],[10573]) ).
thf(10575,plain,
( ( ( xa = mi )
| ( xa = ma ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10570]) ).
thf(10576,plain,
! [SV2: $o] :
( ( ( SV2 = $true )
| ( SV2 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[10572]) ).
thf(10577,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[10572]) ).
thf(10578,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[10572]) ).
thf(10579,plain,
( ( xa != ma )
= $false ),
inference(extcnf_not_pos,[status(thm)],[10574]) ).
thf(10580,plain,
( ( xa = mi )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10575]) ).
thf(10581,plain,
( ( xa = ma )
= $false ),
inference(extcnf_or_neg,[status(thm)],[10575]) ).
thf(10582,plain,
! [SV2: $o] :
( ( ( SV2 = $true )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10576]) ).
thf(10583,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10577]) ).
thf(10584,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10578]) ).
thf(10585,plain,
( ( xa = ma )
= $true ),
inference(extcnf_not_neg,[status(thm)],[10579]) ).
thf(10586,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $true )
| ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10582]) ).
thf(10587,plain,
! [SV2: $o] :
( ( ( SV2 = $true )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10582]) ).
thf(10588,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10583]) ).
thf(10589,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10583]) ).
thf(10590,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10584]) ).
thf(10591,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10584]) ).
thf(10592,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $true ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10586]) ).
thf(10593,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10587]) ).
thf(10594,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10587]) ).
thf(10595,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10588]) ).
thf(10596,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10589]) ).
thf(10597,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10589]) ).
thf(10598,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10590]) ).
thf(10599,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10591]) ).
thf(10600,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10591]) ).
thf(10601,plain,
! [SV2: $o] :
( ( ( SV2
| $true )
= $false )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10592]) ).
thf(10602,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10593]) ).
thf(10603,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10595]) ).
thf(10604,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10596]) ).
thf(10605,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10598]) ).
thf(10606,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[10599]) ).
thf(10607,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10601]) ).
thf(10608,plain,
! [SV2: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10601]) ).
thf(10609,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10602]) ).
thf(10610,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10603]) ).
thf(10611,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10603]) ).
thf(10612,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10604]) ).
thf(10613,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10605]) ).
thf(10614,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10605]) ).
thf(10615,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10606]) ).
thf(10616,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $true )
= $false )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10607]) ).
thf(10617,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10608]) ).
thf(10618,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10609]) ).
thf(10619,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10609]) ).
thf(10620,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10610]) ).
thf(10621,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10611]) ).
thf(10622,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10612]) ).
thf(10623,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10612]) ).
thf(10624,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10613]) ).
thf(10625,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10614]) ).
thf(10626,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10615]) ).
thf(10627,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10615]) ).
thf(10628,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10616]) ).
thf(10629,plain,
! [SV2: $o] :
( ( ( ~ $true ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10616]) ).
thf(10630,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10617]) ).
thf(10631,plain,
! [SV2: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10617]) ).
thf(10632,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10618]) ).
thf(10633,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10619]) ).
thf(10634,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10620]) ).
thf(10635,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10620]) ).
thf(10636,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10621]) ).
thf(10637,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10621]) ).
thf(10638,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10622]) ).
thf(10639,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10623]) ).
thf(10640,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10624]) ).
thf(10641,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10624]) ).
thf(10642,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10625]) ).
thf(10643,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10625]) ).
thf(10644,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10626]) ).
thf(10645,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[10627]) ).
thf(10646,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10628]) ).
thf(10647,plain,
! [SV2: $o] :
( ( $true = $true )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10629]) ).
thf(10648,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10630]) ).
thf(10649,plain,
! [SV2: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10631]) ).
thf(10650,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10632]) ).
thf(10651,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10632]) ).
thf(10652,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10633]) ).
thf(10653,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10633]) ).
thf(10654,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10634]) ).
thf(10655,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10635]) ).
thf(10656,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10636]) ).
thf(10657,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10637]) ).
thf(10658,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10638]) ).
thf(10659,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10638]) ).
thf(10660,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10639]) ).
thf(10661,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10639]) ).
thf(10662,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10640]) ).
thf(10663,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10641]) ).
thf(10664,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10642]) ).
thf(10665,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10643]) ).
thf(10666,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10644]) ).
thf(10667,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10644]) ).
thf(10668,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10645]) ).
thf(10669,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[10645]) ).
thf(10670,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10646]) ).
thf(10671,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10646]) ).
thf(10672,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10647]) ).
thf(10673,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10647]) ).
thf(10674,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10648]) ).
thf(10675,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10648]) ).
thf(10676,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10649]) ).
thf(10677,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10649]) ).
thf(10678,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10650]) ).
thf(10679,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10651]) ).
thf(10680,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10652]) ).
thf(10681,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10653]) ).
thf(10682,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10654]) ).
thf(10683,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10654]) ).
thf(10684,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10655]) ).
thf(10685,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10655]) ).
thf(10686,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10656]) ).
thf(10687,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10656]) ).
thf(10688,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10657]) ).
thf(10689,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10657]) ).
thf(10690,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10658]) ).
thf(10691,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10659]) ).
thf(10692,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10660]) ).
thf(10693,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10661]) ).
thf(10694,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10662]) ).
thf(10695,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10662]) ).
thf(10696,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10663]) ).
thf(10697,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10663]) ).
thf(10698,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10664]) ).
thf(10699,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10664]) ).
thf(10700,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10665]) ).
thf(10701,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[10665]) ).
thf(10702,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10666]) ).
thf(10703,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10667]) ).
thf(10704,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10668]) ).
thf(10705,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[10669]) ).
thf(10706,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10670]) ).
thf(10707,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10672]) ).
thf(10708,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10674]) ).
thf(10709,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10676]) ).
thf(10710,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10682]) ).
thf(10711,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10684]) ).
thf(10712,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10686]) ).
thf(10713,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10688]) ).
thf(10714,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10694]) ).
thf(10715,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10696]) ).
thf(10716,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10698]) ).
thf(10717,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[10700]) ).
thf(10718,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10706]) ).
thf(10719,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10707]) ).
thf(10720,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10708]) ).
thf(10721,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10709]) ).
thf(10722,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10710]) ).
thf(10723,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10711]) ).
thf(10724,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10712]) ).
thf(10725,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10713]) ).
thf(10726,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10714]) ).
thf(10727,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10715]) ).
thf(10728,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10716]) ).
thf(10729,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10717]) ).
thf(10730,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10718]) ).
thf(10731,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10718]) ).
thf(10732,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10719]) ).
thf(10733,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10719]) ).
thf(10734,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10720]) ).
thf(10735,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10720]) ).
thf(10736,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10721]) ).
thf(10737,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10721]) ).
thf(10738,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10722]) ).
thf(10739,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10722]) ).
thf(10740,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10723]) ).
thf(10741,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10723]) ).
thf(10742,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10724]) ).
thf(10743,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10724]) ).
thf(10744,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10725]) ).
thf(10745,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10725]) ).
thf(10746,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10726]) ).
thf(10747,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10726]) ).
thf(10748,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10727]) ).
thf(10749,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10727]) ).
thf(10750,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10728]) ).
thf(10751,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10728]) ).
thf(10752,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10729]) ).
thf(10753,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10729]) ).
thf(10754,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10730]) ).
thf(10755,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10731]) ).
thf(10756,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10732]) ).
thf(10757,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10733]) ).
thf(10758,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10734]) ).
thf(10759,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10735]) ).
thf(10760,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10736]) ).
thf(10761,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10737]) ).
thf(10762,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10738]) ).
thf(10763,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10739]) ).
thf(10764,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10740]) ).
thf(10765,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10741]) ).
thf(10766,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10742]) ).
thf(10767,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10743]) ).
thf(10768,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10744]) ).
thf(10769,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10745]) ).
thf(10770,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10746]) ).
thf(10771,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10747]) ).
thf(10772,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10748]) ).
thf(10773,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10749]) ).
thf(10774,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10750]) ).
thf(10775,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10751]) ).
thf(10776,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10752]) ).
thf(10777,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[10753]) ).
thf(10778,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10754]) ).
thf(10779,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10754]) ).
thf(10780,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10755]) ).
thf(10781,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10755]) ).
thf(10782,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10756]) ).
thf(10783,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10756]) ).
thf(10784,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10757]) ).
thf(10785,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10757]) ).
thf(10786,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10758]) ).
thf(10787,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10758]) ).
thf(10788,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10759]) ).
thf(10789,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10759]) ).
thf(10790,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10760]) ).
thf(10791,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10760]) ).
thf(10792,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10761]) ).
thf(10793,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10761]) ).
thf(10794,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10762]) ).
thf(10795,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10762]) ).
thf(10796,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10763]) ).
thf(10797,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10763]) ).
thf(10798,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10764]) ).
thf(10799,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10764]) ).
thf(10800,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10765]) ).
thf(10801,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10765]) ).
thf(10802,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10766]) ).
thf(10803,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10766]) ).
thf(10804,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10767]) ).
thf(10805,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10767]) ).
thf(10806,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10768]) ).
thf(10807,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10768]) ).
thf(10808,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10769]) ).
thf(10809,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10769]) ).
thf(10810,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10770]) ).
thf(10811,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10770]) ).
thf(10812,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10771]) ).
thf(10813,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10771]) ).
thf(10814,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10772]) ).
thf(10815,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10772]) ).
thf(10816,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10773]) ).
thf(10817,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10773]) ).
thf(10818,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10774]) ).
thf(10819,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10774]) ).
thf(10820,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10775]) ).
thf(10821,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10775]) ).
thf(10822,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10776]) ).
thf(10823,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10776]) ).
thf(10824,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10777]) ).
thf(10825,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[10777]) ).
thf(10826,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10778]) ).
thf(10827,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10779]) ).
thf(10828,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10780]) ).
thf(10829,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10781]) ).
thf(10830,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10782]) ).
thf(10831,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10783]) ).
thf(10832,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10784]) ).
thf(10833,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10785]) ).
thf(10834,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10786]) ).
thf(10835,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10787]) ).
thf(10836,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10788]) ).
thf(10837,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10789]) ).
thf(10838,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10790]) ).
thf(10839,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10791]) ).
thf(10840,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10792]) ).
thf(10841,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10793]) ).
thf(10842,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10794]) ).
thf(10843,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10795]) ).
thf(10844,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10796]) ).
thf(10845,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10797]) ).
thf(10846,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10798]) ).
thf(10847,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10799]) ).
thf(10848,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10800]) ).
thf(10849,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10801]) ).
thf(10850,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10802]) ).
thf(10851,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10803]) ).
thf(10852,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10804]) ).
thf(10853,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10805]) ).
thf(10854,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10806]) ).
thf(10855,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10807]) ).
thf(10856,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10808]) ).
thf(10857,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10809]) ).
thf(10858,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10810]) ).
thf(10859,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10811]) ).
thf(10860,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10812]) ).
thf(10861,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10813]) ).
thf(10862,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10814]) ).
thf(10863,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10815]) ).
thf(10864,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10816]) ).
thf(10865,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10817]) ).
thf(10866,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10818]) ).
thf(10867,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10819]) ).
thf(10868,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10820]) ).
thf(10869,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10821]) ).
thf(10870,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10822]) ).
thf(10871,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10823]) ).
thf(10872,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10824]) ).
thf(10873,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[10825]) ).
thf(10874,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[10571,10873,10872,10871,10870,10869,10868,10867,10866,10865,10864,10863,10862,10861,10860,10859,10858,10857,10856,10855,10854,10853,10852,10851,10850,10849,10848,10847,10846,10845,10844,10843,10842,10841,10840,10839,10838,10837,10836,10835,10834,10833,10832,10831,10830,10829,10828,10827,10826,10705,10704,10703,10702,10701,10699,10697,10695,10693,10692,10691,10690,10689,10687,10685,10683,10681,10680,10679,10678,10677,10675,10673,10671,10600,10597,10594,10585,10581,10580]) ).
thf(10875,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[10874,10569]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP227^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.21 % Computer : n002.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Tue Oct 6 11:24:27 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.66/8.14 .........................................................................
% 39.66/8.14
% 39.66/8.14 No.of.Axioms: 3
% 39.66/8.14
% 39.66/8.14 Length.of.Defs: 0
% 39.66/8.14
% 39.66/8.14 Contains.Choice.Funs: true
% 39.66/8.14 .............................................................................
% 39.66/8.14
% 39.66/8.14 ********************************
% 39.66/8.14 * All subproblems solved! *
% 39.66/8.14 ********************************
% 39.66/8.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:10874,loop_count:0,foatp_calls:1,translation:fof_full)
% 39.66/8.14
% 39.66/8.14 %**** Beginning of derivation protocol ****
% 39.66/8.14 % SZS output start CNFRefutation
% See solution above
% 39.66/8.15
% 39.66/8.15 %**** End of derivation protocol ****
% 39.66/8.15 %**** no. of clauses in derivation: 624 ****
% 39.66/8.15 %**** clause counter: 10874 ****
% 39.66/8.15
% 39.66/8.15 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:3,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:25,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:10874,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------