%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : ITP232^3 : 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 : n010.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 10:25:03 AM UTC 2026
% Result : Theorem 87.21s 14.80s
% Output : CNFRefutation 14.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 343 ( 40 unt; 0 typ; 0 def)
% Number of atoms : 3494 (1241 equ; 0 cnn)
% Maximal formula atoms : 4 ( 10 avg)
% Number of connectives : 1678 ( 500 ~; 955 |; 0 &; 217 @)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Number of types : 79 ( 78 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of symbols : 873 ( 870 usr; 62 con; 0-5 aty)
% Number of variables : 183 ( 0 ^; 175 !; 8 ?; 183 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_code_integer,type,
code_integer: $tType ).
thf(tp_complex,type,
complex: $tType ).
thf(tp_extended_enat,type,
extended_enat: $tType ).
thf(tp_filter1242075044329608583at_nat,type,
filter1242075044329608583at_nat: $tType ).
thf(tp_filter2146258269922977983l_real,type,
filter2146258269922977983l_real: $tType ).
thf(tp_filter6041513312241820739omplex,type,
filter6041513312241820739omplex: $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_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_P5578671422887162913nteger,type,
list_P5578671422887162913nteger: $tType ).
thf(tp_list_P5647936690300460905T_VEBT,type,
list_P5647936690300460905T_VEBT: $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_o,type,
list_o: $tType ).
thf(tp_list_real,type,
list_real: $tType ).
thf(tp_list_set_nat,type,
list_set_nat: $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_produc2422161461964618553l_real,type,
produc2422161461964618553l_real: $tType ).
thf(tp_produc2504756804600209347T_VEBT,type,
produc2504756804600209347T_VEBT: $tType ).
thf(tp_produc334124729049499915VEBT_o,type,
produc334124729049499915VEBT_o: $tType ).
thf(tp_produc4411394909380815293omplex,type,
produc4411394909380815293omplex: $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_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_Pr1261947904930325089at_nat,type,
set_Pr1261947904930325089at_nat: $tType ).
thf(tp_set_Pr448751882837621926eger_o,type,
set_Pr448751882837621926eger_o: $tType ).
thf(tp_set_Pr4811707699266497531nteger,type,
set_Pr4811707699266497531nteger: $tType ).
thf(tp_set_Pr5085853215250843933omplex,type,
set_Pr5085853215250843933omplex: $tType ).
thf(tp_set_Pr6218003697084177305l_real,type,
set_Pr6218003697084177305l_real: $tType ).
thf(tp_set_Pr7556676689462069481BT_nat,type,
set_Pr7556676689462069481BT_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_complex,type,
set_complex: $tType ).
thf(tp_set_fi4554929511873752355omplex,type,
set_fi4554929511873752355omplex: $tType ).
thf(tp_set_fi7789364187291644575l_real,type,
set_fi7789364187291644575l_real: $tType ).
thf(tp_set_int,type,
set_int: $tType ).
thf(tp_set_list_VEBT_VEBT,type,
set_list_VEBT_VEBT: $tType ).
thf(tp_set_list_complex,type,
set_list_complex: $tType ).
thf(tp_set_list_int,type,
set_list_int: $tType ).
thf(tp_set_list_nat,type,
set_list_nat: $tType ).
thf(tp_set_list_o,type,
set_list_o: $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_complex,type,
set_set_complex: $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_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_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_at_bot_real,type,
at_bot_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_bNF_Ca8459412986667044542atLess,type,
bNF_Ca8459412986667044542atLess: set_Pr1261947904930325089at_nat ).
thf(tp_bNF_Ca8665028551170535155natLeq,type,
bNF_Ca8665028551170535155natLeq: set_Pr1261947904930325089at_nat ).
thf(tp_bezw,type,
bezw: nat > nat > product_prod_int_int ).
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_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_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_take_bit_num,type,
bit_take_bit_num: nat > num > option_num ).
thf(tp_bot_bo1565574316222977092_nat_o,type,
bot_bo1565574316222977092_nat_o: vEBT_VEBT > nat > $o ).
thf(tp_bot_bo1642239108664514429BT_nat,type,
bot_bo1642239108664514429BT_nat: set_Pr7556676689462069481BT_nat ).
thf(tp_bot_bo1796632182523588997nt_int,type,
bot_bo1796632182523588997nt_int: set_Pr958786334691620121nt_int ).
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_bo4276436098303576167nteger,type,
bot_bo4276436098303576167nteger: set_Pr4811707699266497531nteger ).
thf(tp_bot_bo4731626569425807221er_o_o,type,
bot_bo4731626569425807221er_o_o: code_integer > $o > $o ).
thf(tp_bot_bo5379713665208646970eger_o,type,
bot_bo5379713665208646970eger_o: set_Pr448751882837621926eger_o ).
thf(tp_bot_bo8134993004553108152eger_o,type,
bot_bo8134993004553108152eger_o: code_integer > code_integer > $o ).
thf(tp_bot_bo8194388402131092736T_VEBT,type,
bot_bo8194388402131092736T_VEBT: set_VEBT_VEBT ).
thf(tp_bot_bot_VEBT_VEBT_o,type,
bot_bot_VEBT_VEBT_o: vEBT_VEBT > $o ).
thf(tp_bot_bot_filter_nat,type,
bot_bot_filter_nat: filter_nat ).
thf(tp_bot_bot_int_int_o,type,
bot_bot_int_int_o: int > int > $o ).
thf(tp_bot_bot_int_o,type,
bot_bot_int_o: int > $o ).
thf(tp_bot_bot_list_nat_o,type,
bot_bot_list_nat_o: list_nat > $o ).
thf(tp_bot_bot_nat,type,
bot_bot_nat: nat ).
thf(tp_bot_bot_nat_nat_o,type,
bot_bot_nat_nat_o: nat > nat > $o ).
thf(tp_bot_bot_nat_o,type,
bot_bot_nat_o: nat > $o ).
thf(tp_bot_bot_real_o,type,
bot_bot_real_o: real > $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_list_nat,type,
bot_bot_set_list_nat: set_list_nat ).
thf(tp_bot_bot_set_nat,type,
bot_bot_set_nat: set_nat ).
thf(tp_bot_bot_set_nat_o,type,
bot_bot_set_nat_o: set_nat > $o ).
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_bot_bot_set_set_nat,type,
bot_bot_set_set_nat: set_set_nat ).
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_o184042715313410164at_nat,type,
case_o184042715313410164at_nat: $o > ( product_prod_nat_nat > $o ) > option4927543243414619207at_nat > $o ).
thf(tp_cauchy,type,
cauchy: ( nat > rat ) > $o ).
thf(tp_cis,type,
cis: real > complex ).
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_nat_of_integer,type,
code_nat_of_integer: code_integer > nat ).
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_collec3799799289383736868l_real,type,
collec3799799289383736868l_real: ( produc2422161461964618553l_real > $o ) > set_Pr6218003697084177305l_real ).
thf(tp_collec5608196760682091941T_VEBT,type,
collec5608196760682091941T_VEBT: ( list_VEBT_VEBT > $o ) > set_list_VEBT_VEBT ).
thf(tp_collec8663557070575231912omplex,type,
collec8663557070575231912omplex: ( produc4411394909380815293omplex > $o ) > set_Pr5085853215250843933omplex ).
thf(tp_collect_VEBT_VEBT,type,
collect_VEBT_VEBT: ( vEBT_VEBT > $o ) > set_VEBT_VEBT ).
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_complex,type,
collect_list_complex: ( list_complex > $o ) > set_list_complex ).
thf(tp_collect_list_int,type,
collect_list_int: ( list_int > $o ) > set_list_int ).
thf(tp_collect_list_nat,type,
collect_list_nat: ( list_nat > $o ) > set_list_nat ).
thf(tp_collect_list_o,type,
collect_list_o: ( list_o > $o ) > set_list_o ).
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_complex,type,
collect_set_complex: ( set_complex > $o ) > set_set_complex ).
thf(tp_collect_set_int,type,
collect_set_int: ( set_int > $o ) > set_set_int ).
thf(tp_collect_set_nat,type,
collect_set_nat: ( set_nat > $o ) > set_set_nat ).
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_s7457072308508201937r_real,type,
comm_s7457072308508201937r_real: real > nat > real ).
thf(tp_comm_s8582702949713902594nteger,type,
comm_s8582702949713902594nteger: code_integer > nat > code_integer ).
thf(tp_comp_int_nat_int,type,
comp_int_nat_int: ( int > nat ) > ( int > int ) > int > nat ).
thf(tp_comp_nat_nat_nat,type,
comp_nat_nat_nat: ( nat > nat ) > ( nat > nat ) > nat > nat ).
thf(tp_comple2936214249959783750l_real,type,
comple2936214249959783750l_real: set_fi7789364187291644575l_real > filter2146258269922977983l_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_comple8358262395181532106omplex,type,
comple8358262395181532106omplex: set_fi4554929511873752355omplex > filter6041513312241820739omplex ).
thf(tp_complete_Inf_Inf_nat,type,
complete_Inf_Inf_nat: set_nat > nat ).
thf(tp_complete_Sup_Sup_nat,type,
complete_Sup_Sup_nat: set_nat > nat ).
thf(tp_complex2,type,
complex2: real > real > complex ).
thf(tp_compow_nat_nat,type,
compow_nat_nat: nat > ( nat > nat ) > nat > nat ).
thf(tp_condit2214826472909112428ve_nat,type,
condit2214826472909112428ve_nat: set_nat > $o ).
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_real,type,
cos_real: real > real ).
thf(tp_cosh_real,type,
cosh_real: real > real ).
thf(tp_cot_complex,type,
cot_complex: complex > complex ).
thf(tp_cot_real,type,
cot_real: real > real ).
thf(tp_count_list_VEBT_VEBT,type,
count_list_VEBT_VEBT: list_VEBT_VEBT > vEBT_VEBT > nat ).
thf(tp_count_list_complex,type,
count_list_complex: list_complex > complex > nat ).
thf(tp_count_list_int,type,
count_list_int: list_int > int > nat ).
thf(tp_count_list_nat,type,
count_list_nat: list_nat > nat > nat ).
thf(tp_count_list_o,type,
count_list_o: list_o > $o > nat ).
thf(tp_count_list_real,type,
count_list_real: list_real > real > nat ).
thf(tp_count_list_set_nat,type,
count_list_set_nat: list_set_nat > set_nat > nat ).
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_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_eventu1038000079068216329at_nat,type,
eventu1038000079068216329at_nat: ( product_prod_nat_nat > $o ) > filter1242075044329608583at_nat > $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_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_field_nat,type,
field_nat: set_Pr1261947904930325089at_nat > set_nat ).
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_finite1152437895449049373et_nat,type,
finite1152437895449049373et_nat: set_set_nat > $o ).
thf(tp_finite3004134309566078307T_VEBT,type,
finite3004134309566078307T_VEBT: set_list_VEBT_VEBT > $o ).
thf(tp_finite3207457112153483333omplex,type,
finite3207457112153483333omplex: set_complex > $o ).
thf(tp_finite3922522038869484883st_int,type,
finite3922522038869484883st_int: set_list_int > $o ).
thf(tp_finite410649719033368117t_unit,type,
finite410649719033368117t_unit: set_Product_unit > nat ).
thf(tp_finite5795047828879050333T_VEBT,type,
finite5795047828879050333T_VEBT: set_VEBT_VEBT > $o ).
thf(tp_finite6197958912794628473et_int,type,
finite6197958912794628473et_int: set_set_int > $o ).
thf(tp_finite6551019134538273531omplex,type,
finite6551019134538273531omplex: set_set_complex > $o ).
thf(tp_finite8100373058378681591st_nat,type,
finite8100373058378681591st_nat: set_list_nat > $o ).
thf(tp_finite8712137658972009173omplex,type,
finite8712137658972009173omplex: set_list_complex > $o ).
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_set_nat,type,
finite_card_set_nat: set_set_nat > nat ).
thf(tp_finite_finite_int,type,
finite_finite_int: set_int > $o ).
thf(tp_finite_finite_list_o,type,
finite_finite_list_o: set_list_o > $o ).
thf(tp_finite_finite_nat,type,
finite_finite_nat: set_nat > $o ).
thf(tp_finite_finite_num,type,
finite_finite_num: set_num > $o ).
thf(tp_finite_finite_o,type,
finite_finite_o: set_o > $o ).
thf(tp_finite_finite_rat,type,
finite_finite_rat: set_rat > $o ).
thf(tp_finite_finite_real,type,
finite_finite_real: set_real > $o ).
thf(tp_fract,type,
fract: int > int > rat ).
thf(tp_fun_is_measure_int,type,
fun_is_measure_int: ( int > nat ) > $o ).
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_groups1072433553688619179nt_rat,type,
groups1072433553688619179nt_rat: ( int > rat ) > set_int > rat ).
thf(tp_groups127312072573709053omplex,type,
groups127312072573709053omplex: ( vEBT_VEBT > complex ) > set_VEBT_VEBT > complex ).
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_groups136491112297645522BT_rat,type,
groups136491112297645522BT_rat: ( vEBT_VEBT > rat ) > set_VEBT_VEBT > 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_groups1794756597179926696omplex,type,
groups1794756597179926696omplex: ( vEBT_VEBT > complex ) > set_VEBT_VEBT > complex ).
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_groups2240296850493347238T_real,type,
groups2240296850493347238T_real: ( vEBT_VEBT > real ) > set_VEBT_VEBT > real ).
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_groups2703838992350267259T_real,type,
groups2703838992350267259T_real: ( vEBT_VEBT > real ) > set_VEBT_VEBT > 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_groups3455450783089532116nteger,type,
groups3455450783089532116nteger: ( nat > code_integer ) > set_nat > code_integer ).
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_groups3619160379726066777t_real,type,
groups3619160379726066777t_real: ( set_nat > real ) > set_set_nat > real ).
thf(tp_groups3708469109370488835omplex,type,
groups3708469109370488835omplex: ( complex > complex ) > set_complex > complex ).
thf(tp_groups3827104343326376752nteger,type,
groups3827104343326376752nteger: ( int > code_integer ) > set_int > code_integer ).
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_groups4694064378042380927al_int,type,
groups4694064378042380927al_int: ( real > int ) > set_real > int ).
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_groups5107569545109728110t_real,type,
groups5107569545109728110t_real: ( set_nat > real ) > set_set_nat > real ).
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_groups5726676334696518183BT_rat,type,
groups5726676334696518183BT_rat: ( vEBT_VEBT > rat ) > set_VEBT_VEBT > rat ).
thf(tp_groups5748017345553531991nteger,type,
groups5748017345553531991nteger: ( vEBT_VEBT > code_integer ) > set_VEBT_VEBT > code_integer ).
thf(tp_groups5754745047067104278omplex,type,
groups5754745047067104278omplex: ( real > complex ) > set_real > complex ).
thf(tp_groups5808333547571424918x_real,type,
groups5808333547571424918x_real: ( complex > real ) > set_complex > real ).
thf(tp_groups6359315924273963643BT_int,type,
groups6359315924273963643BT_int: ( vEBT_VEBT > int ) > set_VEBT_VEBT > int ).
thf(tp_groups6361806394783013919BT_nat,type,
groups6361806394783013919BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).
thf(tp_groups6464643781859351333omplex,type,
groups6464643781859351333omplex: ( nat > complex ) > set_nat > complex ).
thf(tp_groups6591440286371151544t_real,type,
groups6591440286371151544t_real: ( nat > real ) > set_nat > real ).
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_groups7108830773950497114d_enat,type,
groups7108830773950497114d_enat: ( nat > extended_enat ) > set_nat > extended_enat ).
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_groups769130701875090982BT_int,type,
groups769130701875090982BT_int: ( vEBT_VEBT > int ) > set_VEBT_VEBT > int ).
thf(tp_groups7713935264441627589nteger,type,
groups7713935264441627589nteger: ( real > code_integer ) > set_real > code_integer ).
thf(tp_groups771621172384141258BT_nat,type,
groups771621172384141258BT_nat: ( vEBT_VEBT > nat ) > set_VEBT_VEBT > nat ).
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_groups8294997508430121362at_nat,type,
groups8294997508430121362at_nat: ( set_nat > nat ) > set_set_nat > nat ).
thf(tp_groups8507830703676809646_o_nat,type,
groups8507830703676809646_o_nat: ( $o > nat ) > set_o > nat ).
thf(tp_groups858564598930262913ex_int,type,
groups858564598930262913ex_int: ( complex > int ) > set_complex > int ).
thf(tp_groups861055069439313189ex_nat,type,
groups861055069439313189ex_nat: ( complex > nat ) > set_complex > nat ).
thf(tp_groups8682486955453173170nteger,type,
groups8682486955453173170nteger: ( complex > code_integer ) > set_complex > code_integer ).
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_de1759254742604945161l_real,type,
has_de1759254742604945161l_real: ( real > real ) > ( real > real ) > filter_real > $o ).
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_i,type,
i: 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_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_image_2178119161166701260l_real,type,
image_2178119161166701260l_real: ( real > filter2146258269922977983l_real ) > set_real > set_fi7789364187291644575l_real ).
thf(tp_image_5971271580939081552omplex,type,
image_5971271580939081552omplex: ( real > filter6041513312241820739omplex ) > set_real > set_fi4554929511873752355omplex ).
thf(tp_image_int_int,type,
image_int_int: ( int > int ) > set_int > set_int ).
thf(tp_image_int_nat,type,
image_int_nat: ( int > nat ) > set_int > set_nat ).
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_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_inc,type,
inc: num > num ).
thf(tp_inf_in2572325071724192079at_nat,type,
inf_in2572325071724192079at_nat: set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat > set_Pr1261947904930325089at_nat ).
thf(tp_inf_inf_int,type,
inf_inf_int: int > int > int ).
thf(tp_inf_inf_nat,type,
inf_inf_nat: nat > nat > nat ).
thf(tp_infini8530281810654367211te_nat,type,
infini8530281810654367211te_nat: set_nat > nat > nat ).
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_inj_on_set_nat_nat,type,
inj_on_set_nat_nat: ( set_nat > nat ) > set_set_nat > $o ).
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_list_nat,type,
insert_list_nat: list_nat > set_list_nat > set_list_nat ).
thf(tp_insert_nat,type,
insert_nat: nat > set_nat > set_nat ).
thf(tp_insert_num,type,
insert_num: num > set_num > set_num ).
thf(tp_insert_rat,type,
insert_rat: rat > set_rat > set_rat ).
thf(tp_insert_real,type,
insert_real: real > set_real > set_real ).
thf(tp_insert_set_nat,type,
insert_set_nat: set_nat > set_set_nat > set_set_nat ).
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_inverse_inverse_real,type,
inverse_inverse_real: real > real ).
thf(tp_last_nat,type,
last_nat: list_nat > nat ).
thf(tp_lattic1613168225601753569al_num,type,
lattic1613168225601753569al_num: ( real > num ) > set_real > real ).
thf(tp_lattic1922116423962787043ex_num,type,
lattic1922116423962787043ex_num: ( complex > num ) > set_complex > complex ).
thf(tp_lattic2675449441010098035t_real,type,
lattic2675449441010098035t_real: ( int > real ) > set_int > int ).
thf(tp_lattic3331990488459210229BT_num,type,
lattic3331990488459210229BT_num: ( vEBT_VEBT > num ) > set_VEBT_VEBT > vEBT_VEBT ).
thf(tp_lattic4004264746738138117at_num,type,
lattic4004264746738138117at_num: ( nat > num ) > set_nat > nat ).
thf(tp_lattic4420706379359479199al_rat,type,
lattic4420706379359479199al_rat: ( real > rat ) > set_real > real ).
thf(tp_lattic4729654577720512673ex_rat,type,
lattic4729654577720512673ex_rat: ( complex > rat ) > set_complex > complex ).
thf(tp_lattic488527866317076247t_real,type,
lattic488527866317076247t_real: ( nat > real ) > set_nat > nat ).
thf(tp_lattic5003618458639192673nt_num,type,
lattic5003618458639192673nt_num: ( int > num ) > set_int > int ).
thf(tp_lattic6139528642216935859BT_rat,type,
lattic6139528642216935859BT_rat: ( vEBT_VEBT > rat ) > set_VEBT_VEBT > vEBT_VEBT ).
thf(tp_lattic6811802900495863747at_rat,type,
lattic6811802900495863747at_rat: ( nat > rat ) > set_nat > nat ).
thf(tp_lattic7811156612396918303nt_rat,type,
lattic7811156612396918303nt_rat: ( int > rat ) > set_int > int ).
thf(tp_lattic8263393255366662781ax_int,type,
lattic8263393255366662781ax_int: set_int > int ).
thf(tp_lattic8265883725875713057ax_nat,type,
lattic8265883725875713057ax_nat: set_nat > nat ).
thf(tp_lattic8440615504127631091l_real,type,
lattic8440615504127631091l_real: ( real > real ) > set_real > real ).
thf(tp_lattic8794016678065449205x_real,type,
lattic8794016678065449205x_real: ( complex > real ) > set_complex > complex ).
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_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_list_update_set_nat,type,
list_update_set_nat: list_set_nat > nat > set_nat > list_set_nat ).
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_fu1856342031159181835at_o_o,type,
map_fu1856342031159181835at_o_o: ( real > nat > rat ) > ( $o > $o ) > ( ( nat > rat ) > $o ) > real > $o ).
thf(tp_map_fu2345160673673942751at_nat,type,
map_fu2345160673673942751at_nat: ( int > product_prod_nat_nat ) > ( nat > nat ) > ( product_prod_nat_nat > nat ) > int > nat ).
thf(tp_map_fu3667384564859982768at_int,type,
map_fu3667384564859982768at_int: ( int > product_prod_nat_nat ) > ( product_prod_nat_nat > int ) > ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ).
thf(tp_map_fu434086159418415080_int_o,type,
map_fu434086159418415080_int_o: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > $o ) > int > $o ) > ( product_prod_nat_nat > product_prod_nat_nat > $o ) > int > int > $o ).
thf(tp_map_fu4826362097070443709at_o_o,type,
map_fu4826362097070443709at_o_o: ( int > product_prod_nat_nat ) > ( $o > $o ) > ( product_prod_nat_nat > $o ) > int > $o ).
thf(tp_map_fu4960017516451851995nt_int,type,
map_fu4960017516451851995nt_int: ( int > product_prod_nat_nat ) > ( ( product_prod_nat_nat > product_prod_nat_nat ) > int > int ) > ( product_prod_nat_nat > product_prod_nat_nat > product_prod_nat_nat ) > int > int > int ).
thf(tp_map_nat_nat,type,
map_nat_nat: ( nat > nat ) > list_nat > list_nat ).
thf(tp_member1379723562493234055eger_o,type,
member1379723562493234055eger_o: produc6271795597528267376eger_o > set_Pr448751882837621926eger_o > $o ).
thf(tp_member157494554546826820nteger,type,
member157494554546826820nteger: produc8923325533196201883nteger > set_Pr4811707699266497531nteger > $o ).
thf(tp_member2936631157270082147T_VEBT,type,
member2936631157270082147T_VEBT: list_VEBT_VEBT > set_list_VEBT_VEBT > $o ).
thf(tp_member373505688050248522BT_nat,type,
member373505688050248522BT_nat: produc9072475918466114483BT_nat > set_Pr7556676689462069481BT_nat > $o ).
thf(tp_member5262025264175285858nt_int,type,
member5262025264175285858nt_int: product_prod_int_int > set_Pr958786334691620121nt_int > $o ).
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_int,type,
member_list_int: list_int > set_list_int > $o ).
thf(tp_member_list_nat,type,
member_list_nat: list_nat > set_list_nat > $o ).
thf(tp_member_list_o,type,
member_list_o: list_o > set_list_o > $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_member_set_nat,type,
member_set_nat: set_nat > set_set_nat > $o ).
thf(tp_mi,type,
mi: nat ).
thf(tp_minus_1139252259498527702_nat_o,type,
minus_1139252259498527702_nat_o: ( list_nat > $o ) > ( list_nat > $o ) > list_nat > $o ).
thf(tp_minus_2163939370556025621et_nat,type,
minus_2163939370556025621et_nat: set_set_nat > set_set_nat > set_set_nat ).
thf(tp_minus_2794559001203777698VEBT_o,type,
minus_2794559001203777698VEBT_o: ( vEBT_VEBT > $o ) > ( vEBT_VEBT > $o ) > vEBT_VEBT > $o ).
thf(tp_minus_5127226145743854075T_VEBT,type,
minus_5127226145743854075T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > set_VEBT_VEBT ).
thf(tp_minus_6910147592129066416_nat_o,type,
minus_6910147592129066416_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > set_nat > $o ).
thf(tp_minus_7954133019191499631st_nat,type,
minus_7954133019191499631st_nat: set_list_nat > set_list_nat > set_list_nat ).
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_int_o,type,
minus_minus_int_o: ( int > $o ) > ( int > $o ) > int > $o ).
thf(tp_minus_minus_nat,type,
minus_minus_nat: nat > nat > nat ).
thf(tp_minus_minus_nat_o,type,
minus_minus_nat_o: ( nat > $o ) > ( nat > $o ) > nat > $o ).
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_real_o,type,
minus_minus_real_o: ( real > $o ) > ( real > $o ) > real > $o ).
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_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_Pr2304437835452373666nteger,type,
nth_Pr2304437835452373666nteger: list_P5578671422887162913nteger > nat > produc8923325533196201883nteger ).
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_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_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_int,type,
nth_int: list_int > nat > int ).
thf(tp_nth_nat,type,
nth_nat: list_nat > nat > nat ).
thf(tp_nth_o,type,
nth_o: list_o > nat > $o ).
thf(tp_nth_real,type,
nth_real: list_real > nat > real ).
thf(tp_nth_set_nat,type,
nth_set_nat: list_set_nat > nat > set_nat ).
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_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_Least_nat,type,
ord_Least_nat: ( nat > $o ) > nat ).
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_le3480810397992357184T_VEBT,type,
ord_le3480810397992357184T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT > $o ).
thf(tp_ord_le3964352015994296041_nat_o,type,
ord_le3964352015994296041_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $o ).
thf(tp_ord_le418104280809901481VEBT_o,type,
ord_le418104280809901481VEBT_o: ( vEBT_VEBT > $o ) > ( vEBT_VEBT > $o ) > $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_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_le6893508408891458716et_nat,type,
ord_le6893508408891458716et_nat: set_set_nat > set_set_nat > $o ).
thf(tp_ord_le72135733267957522d_enat,type,
ord_le72135733267957522d_enat: extended_enat > extended_enat > $o ).
thf(tp_ord_less_VEBT_VEBT_o,type,
ord_less_VEBT_VEBT_o: ( vEBT_VEBT > $o ) > ( vEBT_VEBT > $o ) > $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_o,type,
ord_less_eq_set_o: set_o > set_o > $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_filter_nat,type,
ord_less_filter_nat: filter_nat > filter_nat > $o ).
thf(tp_ord_less_int,type,
ord_less_int: int > int > $o ).
thf(tp_ord_less_int_o,type,
ord_less_int_o: ( int > $o ) > ( int > $o ) > $o ).
thf(tp_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(tp_ord_less_nat_o,type,
ord_less_nat_o: ( nat > $o ) > ( nat > $o ) > $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_real_o,type,
ord_less_real_o: ( real > $o ) > ( real > $o ) > $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_nat_o,type,
ord_less_set_nat_o: ( set_nat > $o ) > ( set_nat > $o ) > $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_less_set_set_nat,type,
ord_less_set_set_nat: set_set_nat > set_set_nat > $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_filter_nat,type,
ord_max_filter_nat: filter_nat > filter_nat > filter_nat ).
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_max_set_nat,type,
ord_max_set_nat: set_nat > set_nat > set_nat ).
thf(tp_ord_max_set_real,type,
ord_max_set_real: set_real > set_real > set_real ).
thf(tp_ord_min_int,type,
ord_min_int: int > int > int ).
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_7092887310737990675l_real,type,
order_7092887310737990675l_real: ( real > 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_underS_nat,type,
order_underS_nat: set_Pr1261947904930325089at_nat > nat > set_nat ).
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_positive2,type,
positive2: real > $o ).
thf(tp_pow,type,
pow: num > num > num ).
thf(tp_pow_nat,type,
pow_nat: set_nat > set_set_nat ).
thf(tp_power_8040749407984259932d_enat,type,
power_8040749407984259932d_enat: extended_enat > nat > extended_enat ).
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_numeral,type,
pred_numeral: num > nat ).
thf(tp_princi3496590319149328850omplex,type,
princi3496590319149328850omplex: set_Pr5085853215250843933omplex > filter6041513312241820739omplex ).
thf(tp_princi6114159922880469582l_real,type,
princi6114159922880469582l_real: set_Pr6218003697084177305l_real > filter2146258269922977983l_real ).
thf(tp_prod_filter_nat_nat,type,
prod_filter_nat_nat: filter_nat > filter_nat > filter1242075044329608583at_nat ).
thf(tp_produc1086072967326762835nteger,type,
produc1086072967326762835nteger: code_integer > code_integer > produc8923325533196201883nteger ).
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_produc1830744345554046123nteger,type,
produc1830744345554046123nteger: ( nat > nat > code_integer ) > product_prod_nat_nat > code_integer ).
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_produc2676513652042109336d_enat,type,
produc2676513652042109336d_enat: ( nat > nat > extended_enat ) > product_prod_nat_nat > extended_enat ).
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_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_produc5414030515140494994real_o,type,
produc5414030515140494994real_o: ( real > real > $o ) > produc2422161461964618553l_real > $o ).
thf(tp_produc6081775807080527818_nat_o,type,
produc6081775807080527818_nat_o: ( nat > nat > $o ) > product_prod_nat_nat > $o ).
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_produc6771430404735790350plex_o,type,
produc6771430404735790350plex_o: ( complex > complex > $o ) > produc4411394909380815293omplex > $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_produc736041933913180425BT_int,type,
produc736041933913180425BT_int: vEBT_VEBT > int > produc4894624898956917775BT_int ).
thf(tp_produc738532404422230701BT_nat,type,
produc738532404422230701BT_nat: vEBT_VEBT > nat > produc9072475918466114483BT_nat ).
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_produc8792966785426426881nteger,type,
produc8792966785426426881nteger: list_Code_integer > list_Code_integer > list_P5578671422887162913nteger ).
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_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_nat_o,type,
product_nat_o: list_nat > list_o > list_P7333126701944960589_nat_o ).
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_quotient_of,type,
quotient_of: rat > product_prod_int_int ).
thf(tp_real2,type,
real2: ( nat > rat ) > real ).
thf(tp_real_V1022390504157884413omplex,type,
real_V1022390504157884413omplex: complex > real ).
thf(tp_real_V3694042436643373181omplex,type,
real_V3694042436643373181omplex: complex > complex > real ).
thf(tp_real_V4546457046886955230omplex,type,
real_V4546457046886955230omplex: real > complex ).
thf(tp_real_V7735802525324610683m_real,type,
real_V7735802525324610683m_real: real > real ).
thf(tp_real_V975177566351809787t_real,type,
real_V975177566351809787t_real: 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_real,type,
rep_real: real > nat > rat ).
thf(tp_replicate_VEBT_VEBT,type,
replicate_VEBT_VEBT: nat > vEBT_VEBT > list_VEBT_VEBT ).
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_replicate_set_nat,type,
replicate_set_nat: nat > set_nat > list_set_nat ).
thf(tp_ring_17405671764205052669omplex,type,
ring_17405671764205052669omplex: int > complex ).
thf(tp_ring_18347121197199848620nteger,type,
ring_18347121197199848620nteger: int > code_integer ).
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_sK1_SY11,type,
sK1_SY11: vEBT_VEBT > nat ).
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_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_semiring_1_Nats_int,type,
semiring_1_Nats_int: set_int ).
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_or4236626031148496127et_nat,type,
set_or4236626031148496127et_nat: set_nat > set_set_nat ).
thf(tp_set_or4548717258645045905et_nat,type,
set_or4548717258645045905et_nat: set_nat > set_nat > set_set_nat ).
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_or890127255671739683et_nat,type,
set_or890127255671739683et_nat: set_nat > set_set_nat ).
thf(tp_set_ord_atLeast_nat,type,
set_ord_atLeast_nat: nat > set_nat ).
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_set_set_nat2,type,
set_set_nat2: list_set_nat > set_set_nat ).
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_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_s3254054031482475050et_nat,type,
size_s3254054031482475050et_nat: list_set_nat > 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_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_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_sup_int,type,
sup_sup_int: int > int > int ).
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_real,type,
tan_real: real > real ).
thf(tp_tanh_complex,type,
tanh_complex: complex > complex ).
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_int,type,
top_top_set_int: set_int ).
thf(tp_top_top_set_nat,type,
top_top_set_nat: set_nat ).
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_topolo1511823702728130853y_real,type,
topolo1511823702728130853y_real: filter2146258269922977983l_real ).
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_topolo896644834953643431omplex,type,
topolo896644834953643431omplex: filter6041513312241820739omplex ).
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_uminus2746543603091002386VEBT_o,type,
uminus2746543603091002386VEBT_o: ( vEBT_VEBT > $o ) > vEBT_VEBT > $o ).
thf(tp_uminus3195874150345416415st_nat,type,
uminus3195874150345416415st_nat: set_list_nat > set_list_nat ).
thf(tp_uminus5710092332889474511et_nat,type,
uminus5710092332889474511et_nat: set_nat > set_nat ).
thf(tp_uminus5770388063884162150_nat_o,type,
uminus5770388063884162150_nat_o: ( list_nat > $o ) > list_nat > $o ).
thf(tp_uminus612125837232591019t_real,type,
uminus612125837232591019t_real: set_real > set_real ).
thf(tp_uminus613421341184616069et_nat,type,
uminus613421341184616069et_nat: set_set_nat > set_set_nat ).
thf(tp_uminus6401447641752708672_nat_o,type,
uminus6401447641752708672_nat_o: ( set_nat > $o ) > set_nat > $o ).
thf(tp_uminus8041839845116263051T_VEBT,type,
uminus8041839845116263051T_VEBT: set_VEBT_VEBT > set_VEBT_VEBT ).
thf(tp_uminus_uminus_int,type,
uminus_uminus_int: int > int ).
thf(tp_uminus_uminus_int_o,type,
uminus_uminus_int_o: ( int > $o ) > int > $o ).
thf(tp_uminus_uminus_nat_o,type,
uminus_uminus_nat_o: ( nat > $o ) > nat > $o ).
thf(tp_uminus_uminus_rat,type,
uminus_uminus_rat: rat > rat ).
thf(tp_uminus_uminus_real,type,
uminus_uminus_real: real > real ).
thf(tp_uminus_uminus_real_o,type,
uminus_uminus_real_o: ( real > $o ) > real > $o ).
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_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_vanishes,type,
vanishes: ( nat > rat ) > $o ).
thf(tp_vimage_nat_nat,type,
vimage_nat_nat: ( nat > nat ) > set_nat > set_nat ).
thf(tp_wf_int,type,
wf_int: set_Pr958786334691620121nt_int > $o ).
thf(tp_wf_nat,type,
wf_nat: set_Pr1261947904930325089at_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(9581,axiom,
! [Xs: list_VEBT_VEBT,I: nat] :
( ( list_u1324408373059187874T_VEBT @ Xs @ I @ ( nth_VEBT_VEBT @ Xs @ I ) )
= Xs ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_21_list__update__id) ).
thf(9584,axiom,
! [I: nat,J: nat,Xs: list_VEBT_VEBT,X3: vEBT_VEBT] :
( ( I != J )
=> ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs @ I @ X3 ) @ J )
= ( nth_VEBT_VEBT @ Xs @ J ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_18_nth__list__update__neq) ).
thf(9599,axiom,
na = m,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_3__C8_C) ).
thf(9601,axiom,
~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_1_False) ).
thf(9602,axiom,
! [T: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ T )
=> ? [X_1: nat] : ( vEBT_V8194947554948674370ptions @ T @ X_1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0_not__min__Null__member) ).
thf(9603,conjecture,
? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
thf(9604,negated_conjecture,
( ( ? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ) )
= $false ),
inference(negate_conjecture,[status(cth)],[9603]) ).
thf(9605,plain,
( ( ? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ) )
= $false ),
inference(unfold_def,[status(thm)],[9604]) ).
thf(9606,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(unfold_def,[status(thm)],[3]) ).
thf(9607,plain,
( ( ! [Xs: list_VEBT_VEBT,I: nat] :
( ( list_u1324408373059187874T_VEBT @ Xs @ I @ ( nth_VEBT_VEBT @ Xs @ I ) )
= Xs ) )
= $true ),
inference(unfold_def,[status(thm)],[9581]) ).
thf(9608,plain,
( ( ! [I: nat,J: nat,Xs: list_VEBT_VEBT,X3: vEBT_VEBT] :
( ( I != J )
=> ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs @ I @ X3 ) @ J )
= ( nth_VEBT_VEBT @ Xs @ J ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9584]) ).
thf(9609,plain,
( ( na = m )
= $true ),
inference(unfold_def,[status(thm)],[9599]) ).
thf(9610,plain,
( ( ~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9601]) ).
thf(9611,plain,
( ( ! [T: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ T )
=> ? [X_1: nat] : ( vEBT_V8194947554948674370ptions @ T @ X_1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9602]) ).
thf(9612,plain,
( ( ~ ? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ) )
= $true ),
inference(polarity_switch,[status(thm)],[9605]) ).
thf(9613,plain,
( ( ! [T: vEBT_VEBT] :
( ~ ( vEBT_VEBT_minNull @ T )
=> ? [X_1: nat] : ( vEBT_V8194947554948674370ptions @ T @ X_1 ) ) )
= $true ),
inference(copy,[status(thm)],[9611]) ).
thf(9614,plain,
( ( ~ ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) ) )
= $true ),
inference(copy,[status(thm)],[9610]) ).
thf(9615,plain,
( ( na = m )
= $true ),
inference(copy,[status(thm)],[9609]) ).
thf(9616,plain,
( ( ! [I: nat,J: nat,Xs: list_VEBT_VEBT,X3: vEBT_VEBT] :
( ( I != J )
=> ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ Xs @ I @ X3 ) @ J )
= ( nth_VEBT_VEBT @ Xs @ J ) ) ) )
= $true ),
inference(copy,[status(thm)],[9608]) ).
thf(9617,plain,
( ( ! [Xs: list_VEBT_VEBT,I: nat] :
( ( list_u1324408373059187874T_VEBT @ Xs @ I @ ( nth_VEBT_VEBT @ Xs @ I ) )
= Xs ) )
= $true ),
inference(copy,[status(thm)],[9607]) ).
thf(9618,plain,
( ( ! [P: $o] :
( ( P = $true )
| ( P = $false ) ) )
= $true ),
inference(copy,[status(thm)],[9606]) ).
thf(9619,plain,
( ( ~ ? [Y3: nat] : ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ Y3 ) )
= $true ),
inference(copy,[status(thm)],[9612]) ).
thf(9620,plain,
( ( ! [SX0: vEBT_VEBT] :
( ~ ~ ( vEBT_VEBT_minNull @ SX0 )
| ~ ! [SX1: nat] :
~ ( vEBT_V8194947554948674370ptions @ SX0 @ SX1 ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9613]) ).
thf(9621,plain,
( ( ! [SX0: nat,SX1: nat,SX2: list_VEBT_VEBT,SX3: vEBT_VEBT] :
( ~ ( ( SX0 != SX1 ) )
| ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SX2 @ SX0 @ SX3 ) @ SX1 )
= ( nth_VEBT_VEBT @ SX2 @ SX1 ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[9616]) ).
thf(9622,plain,
( ( ~ ~ ! [SX0: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ SX0 ) )
= $true ),
inference(unfold_def,[status(thm)],[9619]) ).
thf(9623,plain,
( ( vEBT_VEBT_minNull @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9614]) ).
thf(9624,plain,
! [SV1: list_VEBT_VEBT] :
( ( ! [SY10: nat] :
( ( list_u1324408373059187874T_VEBT @ SV1 @ SY10 @ ( nth_VEBT_VEBT @ SV1 @ SY10 ) )
= SV1 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9617]) ).
thf(9625,plain,
! [SV2: $o] :
( ( ( SV2 = $true )
| ( SV2 = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[9618]) ).
thf(9626,plain,
( ( ( $true = $true )
| ( $true = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[9618]) ).
thf(9627,plain,
( ( ( $false = $true )
| ( $false = $false ) )
= $true ),
inference(extcnf_forall_special_pos,[status(thm)],[9618]) ).
thf(9628,plain,
! [SV3: vEBT_VEBT] :
( ( ~ ~ ( vEBT_VEBT_minNull @ SV3 )
| ~ ! [SY11: nat] :
~ ( vEBT_V8194947554948674370ptions @ SV3 @ SY11 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9620]) ).
thf(9629,plain,
! [SV4: nat] :
( ( ! [SY12: nat,SY13: list_VEBT_VEBT,SY14: vEBT_VEBT] :
( ~ ( ( SV4 != SY12 ) )
| ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SY13 @ SV4 @ SY14 ) @ SY12 )
= ( nth_VEBT_VEBT @ SY13 @ SY12 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9621]) ).
thf(9630,plain,
( ( ~ ! [SX0: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ SX0 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9622]) ).
thf(9631,plain,
! [SV5: nat,SV1: list_VEBT_VEBT] :
( ( ( list_u1324408373059187874T_VEBT @ SV1 @ SV5 @ ( nth_VEBT_VEBT @ SV1 @ SV5 ) )
= SV1 )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9624]) ).
thf(9632,plain,
! [SV2: $o] :
( ( ( SV2 = $true )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9625]) ).
thf(9633,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9626]) ).
thf(9634,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9627]) ).
thf(9635,plain,
! [SV3: vEBT_VEBT] :
( ( ( ~ ~ ( vEBT_VEBT_minNull @ SV3 ) )
= $true )
| ( ( ~ ! [SY11: nat] :
~ ( vEBT_V8194947554948674370ptions @ SV3 @ SY11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9628]) ).
thf(9636,plain,
! [SV6: nat,SV4: nat] :
( ( ! [SY15: list_VEBT_VEBT,SY16: vEBT_VEBT] :
( ~ ( ( SV4 != SV6 ) )
| ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SY15 @ SV4 @ SY16 ) @ SV6 )
= ( nth_VEBT_VEBT @ SY15 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9629]) ).
thf(9637,plain,
( ( ! [SX0: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ SX0 ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[9630]) ).
thf(9638,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $true )
| ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9632]) ).
thf(9639,plain,
! [SV2: $o] :
( ( ( SV2 = $true )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9632]) ).
thf(9640,plain,
( ( ( ~ ( $true
| $true )
| ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9633]) ).
thf(9641,plain,
( ( ( $true = $true )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9633]) ).
thf(9642,plain,
( ( ( ~ ( $false
| $true )
| ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9634]) ).
thf(9643,plain,
( ( ( $false = $true )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9634]) ).
thf(9644,plain,
! [SV3: vEBT_VEBT] :
( ( ( ~ ( vEBT_VEBT_minNull @ SV3 ) )
= $false )
| ( ( ~ ! [SY11: nat] :
~ ( vEBT_V8194947554948674370ptions @ SV3 @ SY11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9635]) ).
thf(9645,plain,
! [SV7: list_VEBT_VEBT,SV6: nat,SV4: nat] :
( ( ! [SY17: vEBT_VEBT] :
( ~ ( ( SV4 != SV6 ) )
| ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV7 @ SV4 @ SY17 ) @ SV6 )
= ( nth_VEBT_VEBT @ SV7 @ SV6 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9636]) ).
thf(9646,plain,
! [SV8: nat] :
( ( ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9637]) ).
thf(9647,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $true ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9638]) ).
thf(9648,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9639]) ).
thf(9649,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9639]) ).
thf(9650,plain,
( ( ( ~ ( $true
| $true ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9640]) ).
thf(9651,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9641]) ).
thf(9652,plain,
( ( ( $true = $false )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9641]) ).
thf(9653,plain,
( ( ( ~ ( $false
| $true ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9642]) ).
thf(9654,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9643]) ).
thf(9655,plain,
( ( ( $false = $false )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9643]) ).
thf(9656,plain,
! [SV3: vEBT_VEBT] :
( ( ( vEBT_VEBT_minNull @ SV3 )
= $true )
| ( ( ~ ! [SY11: nat] :
~ ( vEBT_V8194947554948674370ptions @ SV3 @ SY11 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9644]) ).
thf(9657,plain,
! [SV9: vEBT_VEBT,SV7: list_VEBT_VEBT,SV6: nat,SV4: nat] :
( ( ~ ( ( SV4 != SV6 ) )
| ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV7 @ SV4 @ SV9 ) @ SV6 )
= ( nth_VEBT_VEBT @ SV7 @ SV6 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[9645]) ).
thf(9658,plain,
! [SV8: nat] :
( ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ mi @ na ) ) @ SV8 )
= $false ),
inference(extcnf_not_pos,[status(thm)],[9646]) ).
thf(9659,plain,
! [SV2: $o] :
( ( ( SV2
| $true )
= $false )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9647]) ).
thf(9660,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9648]) ).
thf(9661,plain,
( ( ( $true
| $true )
= $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9650]) ).
thf(9662,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9651]) ).
thf(9663,plain,
( ( ( $false
| $true )
= $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9653]) ).
thf(9664,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9654]) ).
thf(9665,plain,
! [SV3: vEBT_VEBT] :
( ( ( ! [SY11: nat] :
~ ( vEBT_V8194947554948674370ptions @ SV3 @ SY11 ) )
= $false )
| ( ( vEBT_VEBT_minNull @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9656]) ).
thf(9666,plain,
! [SV9: vEBT_VEBT,SV7: list_VEBT_VEBT,SV6: nat,SV4: nat] :
( ( ( ~ ( ( SV4 != SV6 ) ) )
= $true )
| ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV7 @ SV4 @ SV9 ) @ SV6 )
= ( nth_VEBT_VEBT @ SV7 @ SV6 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[9657]) ).
thf(9667,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9659]) ).
thf(9668,plain,
! [SV2: $o] :
( ( $true = $false )
| ( ( ~ ( ~ SV2
| ~ $true ) )
= $true )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9659]) ).
thf(9669,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9660]) ).
thf(9670,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9661]) ).
thf(9671,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $true ) )
= $true )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9661]) ).
thf(9672,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9662]) ).
thf(9673,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9663]) ).
thf(9674,plain,
( ( $true = $false )
| ( ( ~ ( ~ $false
| ~ $true ) )
= $true )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9663]) ).
thf(9675,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9664]) ).
thf(9676,plain,
! [SV3: vEBT_VEBT] :
( ( ( ~ ( vEBT_V8194947554948674370ptions @ SV3 @ ( sK1_SY11 @ SV3 ) ) )
= $false )
| ( ( vEBT_VEBT_minNull @ SV3 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[9665]) ).
thf(9677,plain,
! [SV9: vEBT_VEBT,SV7: list_VEBT_VEBT,SV6: nat,SV4: nat] :
( ( ( SV4 != SV6 )
= $false )
| ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV7 @ SV4 @ SV9 ) @ SV6 )
= ( nth_VEBT_VEBT @ SV7 @ SV6 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9666]) ).
thf(9678,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $true )
= $false )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9667]) ).
thf(9679,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $true )
= $false )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9668]) ).
thf(9680,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9669]) ).
thf(9681,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9669]) ).
thf(9682,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9670]) ).
thf(9683,plain,
( ( ( ~ $true
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9671]) ).
thf(9684,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9672]) ).
thf(9685,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9672]) ).
thf(9686,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9673]) ).
thf(9687,plain,
( ( ( ~ $false
| ~ $true )
= $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9674]) ).
thf(9688,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9675]) ).
thf(9689,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9675]) ).
thf(9690,plain,
! [SV3: vEBT_VEBT] :
( ( ( vEBT_V8194947554948674370ptions @ SV3 @ ( sK1_SY11 @ SV3 ) )
= $true )
| ( ( vEBT_VEBT_minNull @ SV3 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9676]) ).
thf(9691,plain,
! [SV9: vEBT_VEBT,SV7: list_VEBT_VEBT,SV6: nat,SV4: nat] :
( ( ( SV4 = SV6 )
= $true )
| ( ( ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ SV7 @ SV4 @ SV9 ) @ SV6 )
= ( nth_VEBT_VEBT @ SV7 @ SV6 ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9677]) ).
thf(9692,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9678]) ).
thf(9693,plain,
! [SV2: $o] :
( ( ( ~ $true ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9678]) ).
thf(9694,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9679]) ).
thf(9695,plain,
! [SV2: $o] :
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9679]) ).
thf(9696,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9680]) ).
thf(9697,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9681]) ).
thf(9698,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9682]) ).
thf(9699,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9682]) ).
thf(9700,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9683]) ).
thf(9701,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9683]) ).
thf(9702,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9684]) ).
thf(9703,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9685]) ).
thf(9704,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9686]) ).
thf(9705,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9686]) ).
thf(9706,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9687]) ).
thf(9707,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9687]) ).
thf(9708,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9688]) ).
thf(9709,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[9689]) ).
thf(9710,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9692]) ).
thf(9711,plain,
! [SV2: $o] :
( ( $true = $true )
| ( SV2 = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9693]) ).
thf(9712,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9694]) ).
thf(9713,plain,
! [SV2: $o] :
( ( $true = $true )
| ( $true = $false )
| ( ( SV2 = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9695]) ).
thf(9714,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9696]) ).
thf(9715,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9696]) ).
thf(9716,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9697]) ).
thf(9717,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9697]) ).
thf(9718,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9698]) ).
thf(9719,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9699]) ).
thf(9720,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9700]) ).
thf(9721,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9701]) ).
thf(9722,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9702]) ).
thf(9723,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9702]) ).
thf(9724,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9703]) ).
thf(9725,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9703]) ).
thf(9726,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9704]) ).
thf(9727,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9705]) ).
thf(9728,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9706]) ).
thf(9729,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $false = $false )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9707]) ).
thf(9730,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9708]) ).
thf(9731,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9708]) ).
thf(9732,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9709]) ).
thf(9733,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[9709]) ).
thf(9734,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9710]) ).
thf(9735,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9710]) ).
thf(9736,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9711]) ).
thf(9737,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9711]) ).
thf(9738,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9712]) ).
thf(9739,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9712]) ).
thf(9740,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false )
| ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9713]) ).
thf(9741,plain,
! [SV2: $o] :
( ( ( SV2 = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9713]) ).
thf(9742,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9714]) ).
thf(9743,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9715]) ).
thf(9744,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9716]) ).
thf(9745,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( ( SV2 = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9717]) ).
thf(9746,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9718]) ).
thf(9747,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9718]) ).
thf(9748,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9719]) ).
thf(9749,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9719]) ).
thf(9750,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9720]) ).
thf(9751,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9720]) ).
thf(9752,plain,
( ( ( ~ ( $true
| $false )
| ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9721]) ).
thf(9753,plain,
( ( ( $true = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9721]) ).
thf(9754,plain,
( ( $true = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9722]) ).
thf(9755,plain,
( ( $false = $true )
| ( $true = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9723]) ).
thf(9756,plain,
( ( $true = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9724]) ).
thf(9757,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $true = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9725]) ).
thf(9758,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9726]) ).
thf(9759,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9726]) ).
thf(9760,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9727]) ).
thf(9761,plain,
( ( ( $false = $false )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9727]) ).
thf(9762,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9728]) ).
thf(9763,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9728]) ).
thf(9764,plain,
( ( ( ~ ( $false
| $false )
| ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9729]) ).
thf(9765,plain,
( ( ( $false = $false )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_equal_pos,[status(thm)],[9729]) ).
thf(9766,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9730]) ).
thf(9767,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9731]) ).
thf(9768,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9732]) ).
thf(9769,plain,
( ( $false = $true )
| ( $false = $false )
| ( ( $false = $true )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[9733]) ).
thf(9770,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9734]) ).
thf(9771,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9736]) ).
thf(9772,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9738]) ).
thf(9773,plain,
! [SV2: $o] :
( ( ( ~ ( SV2
| $false ) )
= $true )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9740]) ).
thf(9774,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9746]) ).
thf(9775,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9748]) ).
thf(9776,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9750]) ).
thf(9777,plain,
( ( ( ~ ( $true
| $false ) )
= $true )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9752]) ).
thf(9778,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9758]) ).
thf(9779,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9760]) ).
thf(9780,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9762]) ).
thf(9781,plain,
( ( ( ~ ( $false
| $false ) )
= $true )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_pos,[status(thm)],[9764]) ).
thf(9782,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9770]) ).
thf(9783,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9771]) ).
thf(9784,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9772]) ).
thf(9785,plain,
! [SV2: $o] :
( ( ( SV2
| $false )
= $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9773]) ).
thf(9786,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9774]) ).
thf(9787,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9775]) ).
thf(9788,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9776]) ).
thf(9789,plain,
( ( ( $true
| $false )
= $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9777]) ).
thf(9790,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9778]) ).
thf(9791,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9779]) ).
thf(9792,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9780]) ).
thf(9793,plain,
( ( ( $false
| $false )
= $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9781]) ).
thf(9794,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9782]) ).
thf(9795,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9782]) ).
thf(9796,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9783]) ).
thf(9797,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9783]) ).
thf(9798,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9784]) ).
thf(9799,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9784]) ).
thf(9800,plain,
! [SV2: $o] :
( ( SV2 = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9785]) ).
thf(9801,plain,
! [SV2: $o] :
( ( $false = $false )
| ( ( ~ ( ~ SV2
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9785]) ).
thf(9802,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9786]) ).
thf(9803,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9786]) ).
thf(9804,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9787]) ).
thf(9805,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9787]) ).
thf(9806,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9788]) ).
thf(9807,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9788]) ).
thf(9808,plain,
( ( $true = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9789]) ).
thf(9809,plain,
( ( $false = $false )
| ( ( ~ ( ~ $true
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9789]) ).
thf(9810,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9790]) ).
thf(9811,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9790]) ).
thf(9812,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9791]) ).
thf(9813,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9791]) ).
thf(9814,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9792]) ).
thf(9815,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9792]) ).
thf(9816,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9793]) ).
thf(9817,plain,
( ( $false = $false )
| ( ( ~ ( ~ $false
| ~ $false ) )
= $true )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9793]) ).
thf(9818,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9794]) ).
thf(9819,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9795]) ).
thf(9820,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9796]) ).
thf(9821,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9797]) ).
thf(9822,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9798]) ).
thf(9823,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9799]) ).
thf(9824,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9800]) ).
thf(9825,plain,
! [SV2: $o] :
( ( ( ~ SV2
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9801]) ).
thf(9826,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9802]) ).
thf(9827,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9803]) ).
thf(9828,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9804]) ).
thf(9829,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9805]) ).
thf(9830,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9806]) ).
thf(9831,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9807]) ).
thf(9832,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9808]) ).
thf(9833,plain,
( ( ( ~ $true
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9809]) ).
thf(9834,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9810]) ).
thf(9835,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9811]) ).
thf(9836,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9812]) ).
thf(9837,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9813]) ).
thf(9838,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9814]) ).
thf(9839,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9815]) ).
thf(9840,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9816]) ).
thf(9841,plain,
( ( ( ~ $false
| ~ $false )
= $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_pos,[status(thm)],[9817]) ).
thf(9842,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9818]) ).
thf(9843,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9818]) ).
thf(9844,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9819]) ).
thf(9845,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9819]) ).
thf(9846,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9820]) ).
thf(9847,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9820]) ).
thf(9848,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9821]) ).
thf(9849,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9821]) ).
thf(9850,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9822]) ).
thf(9851,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9822]) ).
thf(9852,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9823]) ).
thf(9853,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9823]) ).
thf(9854,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9824]) ).
thf(9855,plain,
! [SV2: $o] :
( ( ( ~ $false ) = $false )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9824]) ).
thf(9856,plain,
! [SV2: $o] :
( ( ( ~ SV2 ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9825]) ).
thf(9857,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9825]) ).
thf(9858,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9826]) ).
thf(9859,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9826]) ).
thf(9860,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9827]) ).
thf(9861,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9827]) ).
thf(9862,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9828]) ).
thf(9863,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9828]) ).
thf(9864,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9829]) ).
thf(9865,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9829]) ).
thf(9866,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9830]) ).
thf(9867,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9830]) ).
thf(9868,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9831]) ).
thf(9869,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9831]) ).
thf(9870,plain,
( ( ( ~ $true ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9832]) ).
thf(9871,plain,
( ( ( ~ $false ) = $false )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9832]) ).
thf(9872,plain,
( ( ( ~ $true ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9833]) ).
thf(9873,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9833]) ).
thf(9874,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9834]) ).
thf(9875,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9834]) ).
thf(9876,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9835]) ).
thf(9877,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9835]) ).
thf(9878,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9836]) ).
thf(9879,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9836]) ).
thf(9880,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9837]) ).
thf(9881,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9837]) ).
thf(9882,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9838]) ).
thf(9883,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9838]) ).
thf(9884,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9839]) ).
thf(9885,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9839]) ).
thf(9886,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9840]) ).
thf(9887,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9840]) ).
thf(9888,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9841]) ).
thf(9889,plain,
( ( ( ~ $false ) = $false )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_or_neg,[status(thm)],[9841]) ).
thf(9890,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9842]) ).
thf(9891,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9843]) ).
thf(9892,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9844]) ).
thf(9893,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9845]) ).
thf(9894,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9846]) ).
thf(9895,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9847]) ).
thf(9896,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9848]) ).
thf(9897,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( SV2 = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9849]) ).
thf(9898,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9850]) ).
thf(9899,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9851]) ).
thf(9900,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9852]) ).
thf(9901,plain,
! [SV2: $o] :
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( SV2 = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9853]) ).
thf(9902,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9854]) ).
thf(9903,plain,
! [SV2: $o] :
( ( $false = $true )
| ( SV2 = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9855]) ).
thf(9904,plain,
! [SV2: $o] :
( ( SV2 = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9856]) ).
thf(9905,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9857]) ).
thf(9906,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9858]) ).
thf(9907,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9859]) ).
thf(9908,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9860]) ).
thf(9909,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9861]) ).
thf(9910,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9862]) ).
thf(9911,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9863]) ).
thf(9912,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9864]) ).
thf(9913,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9865]) ).
thf(9914,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9866]) ).
thf(9915,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9867]) ).
thf(9916,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9868]) ).
thf(9917,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9869]) ).
thf(9918,plain,
( ( $true = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9870]) ).
thf(9919,plain,
( ( $false = $true )
| ( $true = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9871]) ).
thf(9920,plain,
( ( $true = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9872]) ).
thf(9921,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9873]) ).
thf(9922,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9874]) ).
thf(9923,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9875]) ).
thf(9924,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9876]) ).
thf(9925,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9877]) ).
thf(9926,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9878]) ).
thf(9927,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9879]) ).
thf(9928,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9880]) ).
thf(9929,plain,
( ( $false = $true )
| ( $false = $false )
| ( $false = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9881]) ).
thf(9930,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9882]) ).
thf(9931,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9883]) ).
thf(9932,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9884]) ).
thf(9933,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $false = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9885]) ).
thf(9934,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9886]) ).
thf(9935,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9887]) ).
thf(9936,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9888]) ).
thf(9937,plain,
( ( $false = $true )
| ( $false = $false )
| ( $true = $false )
| ( $true = $true ) ),
inference(extcnf_not_neg,[status(thm)],[9889]) ).
thf(9938,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[9615,9937,9936,9935,9934,9933,9932,9931,9930,9929,9928,9927,9926,9925,9924,9923,9922,9921,9920,9919,9918,9917,9916,9915,9914,9913,9912,9911,9910,9909,9908,9907,9906,9905,9904,9903,9902,9901,9900,9899,9898,9897,9896,9895,9894,9893,9892,9891,9890,9769,9768,9767,9766,9765,9763,9761,9759,9757,9756,9755,9754,9753,9751,9749,9747,9745,9744,9743,9742,9741,9739,9737,9735,9691,9690,9658,9655,9652,9649,9631,9623]) ).
thf(9939,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[9938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ITP232^3 : TPTP v9.3.1. Bugfixed v9.2.1.
% 0.00/0.05 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.16 % Computer : n010.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Tue Oct 6 11:23:40 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.21/14.80 ........................................................................
% 87.21/14.80
% 87.21/14.80 No.of.Axioms: 6
% 87.21/14.80
% 87.21/14.80 Length.of.Defs: 0
% 87.21/14.80
% 87.21/14.80 Contains.Choice.Funs: true
% 87.21/14.80 ...........................................................................
% 87.21/14.80
% 87.21/14.80 ********************************
% 87.21/14.80 * All subproblems solved! *
% 87.21/14.80 ********************************
% 87.21/14.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:6,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:9938,loop_count:0,foatp_calls:1,translation:fof_full)
% 87.21/14.80
% 87.21/14.80 %**** Beginning of derivation protocol ****
% 87.21/14.80 % SZS output start CNFRefutation
% See solution above
% 14.77/14.80
% 14.77/14.80 %**** End of derivation protocol ****
% 14.77/14.80 %**** no. of clauses in derivation: 343 ****
% 14.77/14.80 %**** clause counter: 9938 ****
% 14.77/14.80
% 14.77/14.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:1,axioms:6,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:9938,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------