%------------------------------------------------------------------------------
% File : Lash---1.13
% Problem : ITP268^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% Transfm : none
% Format : tptp:raw
% Command : lash -P picomus -M modes -p tstp -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Feb 28 09:30:07 AM UTC 2026
% Result : Theorem 159.50s 159.73s
% Output : Proof 141.86s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
thf(ty_list_VEBT_VEBT,type,
list_VEBT_VEBT: $tType ).
thf(ty_num,type,
num: $tType ).
thf(ty_option4927543243414619207at_nat,type,
option4927543243414619207at_nat: $tType ).
thf(ty_nat,type,
nat: $tType ).
thf(ty_product_prod_nat_nat,type,
product_prod_nat_nat: $tType ).
thf(ty_set_VEBT_VEBT,type,
set_VEBT_VEBT: $tType ).
thf(ty_option_nat,type,
option_nat: $tType ).
thf(ty_real,type,
real: $tType ).
thf(ty_vEBT_VEBT,type,
vEBT_VEBT: $tType ).
thf(ty_some_nat,type,
some_nat: nat > option_nat ).
thf(ty_eigen__28,type,
eigen__28: nat ).
thf(ty_eigen__41,type,
eigen__41: nat ).
thf(ty_eigen__19,type,
eigen__19: nat ).
thf(ty_xa,type,
xa: nat ).
thf(ty_eigen__8,type,
eigen__8: nat ).
thf(ty_eigen__43,type,
eigen__43: nat ).
thf(ty_eigen__0,type,
eigen__0: nat ).
thf(ty_eigen__21,type,
eigen__21: real ).
thf(ty_vEBT_vebt_mint,type,
vEBT_vebt_mint: vEBT_VEBT > option_nat ).
thf(ty_eigen__9,type,
eigen__9: real ).
thf(ty_none_nat,type,
none_nat: option_nat ).
thf(ty_eigen__14,type,
eigen__14: nat ).
thf(ty_eigen__30,type,
eigen__30: real ).
thf(ty_size_s6755466524823107622T_VEBT,type,
size_s6755466524823107622T_VEBT: list_VEBT_VEBT > nat ).
thf(ty_eigen__39,type,
eigen__39: real ).
thf(ty_eigen__11,type,
eigen__11: nat ).
thf(ty_if_nat,type,
if_nat: $o > nat > nat > nat ).
thf(ty_eigen__2,type,
eigen__2: nat ).
thf(ty_eigen__10,type,
eigen__10: nat ).
thf(ty_the_nat,type,
the_nat: option_nat > nat ).
thf(ty_vEBT_V8194947554948674370ptions,type,
vEBT_V8194947554948674370ptions: vEBT_VEBT > nat > $o ).
thf(ty_suc,type,
suc: nat > nat ).
thf(ty_eigen__5,type,
eigen__5: nat ).
thf(ty_eigen__32,type,
eigen__32: nat ).
thf(ty_zero_zero_real,type,
zero_zero_real: real ).
thf(ty_eigen__4,type,
eigen__4: nat ).
thf(ty_eigen__36,type,
eigen__36: real ).
thf(ty_ord_less_eq_nat,type,
ord_less_eq_nat: nat > nat > $o ).
thf(ty_lx,type,
lx: nat ).
thf(ty_eigen__44,type,
eigen__44: nat ).
thf(ty_ord_less_nat,type,
ord_less_nat: nat > nat > $o ).
thf(ty_vEBT_vebt_delete,type,
vEBT_vebt_delete: vEBT_VEBT > nat > vEBT_VEBT ).
thf(ty_eigen__24,type,
eigen__24: real ).
thf(ty_eigen__27,type,
eigen__27: real ).
thf(ty_eigen__7,type,
eigen__7: nat ).
thf(ty_na,type,
na: nat ).
thf(ty_eigen__17,type,
eigen__17: nat ).
thf(ty_vEBT_Node,type,
vEBT_Node: option4927543243414619207at_nat > nat > list_VEBT_VEBT > vEBT_VEBT > vEBT_VEBT ).
thf(ty_ord_less_eq_real,type,
ord_less_eq_real: real > real > $o ).
thf(ty_eigen__31,type,
eigen__31: nat ).
thf(ty_eigen__42,type,
eigen__42: real ).
thf(ty_eigen__3,type,
eigen__3: real ).
thf(ty_numeral_numeral_nat,type,
numeral_numeral_nat: num > nat ).
thf(ty_list_u1324408373059187874T_VEBT,type,
list_u1324408373059187874T_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT > list_VEBT_VEBT ).
thf(ty_times_times_nat,type,
times_times_nat: nat > nat > nat ).
thf(ty_mi,type,
mi: nat ).
thf(ty_eigen__37,type,
eigen__37: nat ).
thf(ty_numeral_numeral_real,type,
numeral_numeral_real: num > real ).
thf(ty_eigen__1,type,
eigen__1: nat ).
thf(ty_summary,type,
summary: vEBT_VEBT ).
thf(ty_summin,type,
summin: nat ).
thf(ty_member_VEBT_VEBT,type,
member_VEBT_VEBT: vEBT_VEBT > set_VEBT_VEBT > $o ).
thf(ty_eigen__34,type,
eigen__34: nat ).
thf(ty_deg,type,
deg: nat ).
thf(ty_vEBT_VEBT_high,type,
vEBT_VEBT_high: nat > nat > nat ).
thf(ty_eigen__12,type,
eigen__12: real ).
thf(ty_some_P7363390416028606310at_nat,type,
some_P7363390416028606310at_nat: product_prod_nat_nat > option4927543243414619207at_nat ).
thf(ty_eigen__26,type,
eigen__26: nat ).
thf(ty_eigen__6,type,
eigen__6: real ).
thf(ty_eigen__25,type,
eigen__25: nat ).
thf(ty_eigen__45,type,
eigen__45: real ).
thf(ty_one,type,
one: num ).
thf(ty_vEBT_invar_vebt,type,
vEBT_invar_vebt: vEBT_VEBT > nat > $o ).
thf(ty_eigen__38,type,
eigen__38: nat ).
thf(ty_ma,type,
ma: nat ).
thf(ty_cos_real,type,
cos_real: real > real ).
thf(ty_treeList,type,
treeList: list_VEBT_VEBT ).
thf(ty_set_VEBT_VEBT2,type,
set_VEBT_VEBT2: list_VEBT_VEBT > set_VEBT_VEBT ).
thf(ty_divide_divide_nat,type,
divide_divide_nat: nat > nat > nat ).
thf(ty_eigen__15,type,
eigen__15: real ).
thf(ty_product_Pair_nat_nat,type,
product_Pair_nat_nat: nat > nat > product_prod_nat_nat ).
thf(ty_eigen__22,type,
eigen__22: nat ).
thf(ty_vEBT_vebt_maxt,type,
vEBT_vebt_maxt: vEBT_VEBT > option_nat ).
thf(ty_eigen__35,type,
eigen__35: nat ).
thf(ty_m,type,
m: nat ).
thf(ty_eigen__18,type,
eigen__18: real ).
thf(ty_power_power_nat,type,
power_power_nat: nat > nat > nat ).
thf(ty_bit0,type,
bit0: num > num ).
thf(ty_eigen__16,type,
eigen__16: nat ).
thf(ty_eigen__33,type,
eigen__33: real ).
thf(ty_eigen__40,type,
eigen__40: nat ).
thf(ty_eigen__23,type,
eigen__23: nat ).
thf(ty_eigen__29,type,
eigen__29: nat ).
thf(ty_nth_VEBT_VEBT,type,
nth_VEBT_VEBT: list_VEBT_VEBT > nat > vEBT_VEBT ).
thf(ty_eigen__20,type,
eigen__20: nat ).
thf(ty_eigen__13,type,
eigen__13: nat ).
thf(ty_vEBT_VEBT_low,type,
vEBT_VEBT_low: nat > nat > nat ).
thf(ty_plus_plus_nat,type,
plus_plus_nat: nat > nat > nat ).
thf(sP1,plain,
( sP1
<=> ( ( ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
!= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma ) ) )
=> ! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ( ( ( vEBT_VEBT_high
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ na )
= X1 )
=> ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ X1 )
@ ( vEBT_VEBT_low
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ na ) ) )
=> ~ ! [X2: nat] :
( ~ ( ( ( vEBT_VEBT_high @ X2 @ na )
= X1 )
=> ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ X1 ) @ ( vEBT_VEBT_low @ X2 @ na ) ) )
=> ~ ( ( ord_less_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ X2 )
=> ~ ( ord_less_eq_nat @ X2
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP1])]) ).
thf(sP2,plain,
( sP2
<=> ( ( size_s6755466524823107622T_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) )
= ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) ) ),
introduced(definition,[new_symbols(definition,[sP2])]) ).
thf(sP3,plain,
( sP3
<=> ( ( ~ ( ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
!= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma ) ) )
=> ! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) )
=> ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ) )
=> ( ( ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) )
=> ( ( ord_less_nat
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) )
=> ( sP1
=> ( vEBT_invar_vebt
@ ( vEBT_Node
@ ( some_P7363390416028606310at_nat
@ ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) )
@ deg
@ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ deg ) ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP3])]) ).
thf(sP4,plain,
( sP4
<=> ( sP2
=> ( ( m
= ( suc @ na ) )
=> ( ( deg
= ( plus_plus_nat @ na @ m ) )
=> ( ! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ( ( ~ ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ X1 ) @ X2 ) )
= ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ X1 ) ) )
=> sP3 ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP4])]) ).
thf(sP5,plain,
( sP5
<=> ( ord_less_eq_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) ),
introduced(definition,[new_symbols(definition,[sP5])]) ).
thf(sP6,plain,
( sP6
<=> ! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) )
=> ( vEBT_invar_vebt @ X1 @ na ) ) ),
introduced(definition,[new_symbols(definition,[sP6])]) ).
thf(sP7,plain,
( sP7
<=> ( m
= ( suc @ na ) ) ),
introduced(definition,[new_symbols(definition,[sP7])]) ).
thf(sP8,plain,
( sP8
<=> ! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ( ( ~ ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ X1 ) @ X2 ) )
= ( vEBT_V8194947554948674370ptions @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ X1 ) ) ) ),
introduced(definition,[new_symbols(definition,[sP8])]) ).
thf(sP9,plain,
( sP9
<=> ( ( deg
= ( plus_plus_nat @ na @ m ) )
=> ( sP8
=> sP3 ) ) ),
introduced(definition,[new_symbols(definition,[sP9])]) ).
thf(sP10,plain,
( sP10
<=> ( sP6
=> ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ m )
=> sP4 ) ) ),
introduced(definition,[new_symbols(definition,[sP10])]) ).
thf(sP11,plain,
( sP11
<=> ! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) )
=> ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ) ),
introduced(definition,[new_symbols(definition,[sP11])]) ).
thf(sP12,plain,
( sP12
<=> ( ~ ( ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
!= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma ) ) )
=> sP11 ) ),
introduced(definition,[new_symbols(definition,[sP12])]) ).
thf(sP13,plain,
( sP13
<=> ( sP5
=> ( ( ord_less_nat
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) )
=> ( sP1
=> ( vEBT_invar_vebt
@ ( vEBT_Node
@ ( some_P7363390416028606310at_nat
@ ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) )
@ deg
@ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ deg ) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP13])]) ).
thf(sP14,plain,
( sP14
<=> ( ( ord_less_nat
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) )
=> ( sP1
=> ( vEBT_invar_vebt
@ ( vEBT_Node
@ ( some_P7363390416028606310at_nat
@ ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) )
@ deg
@ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ deg ) ) ) ),
introduced(definition,[new_symbols(definition,[sP14])]) ).
thf(sP15,plain,
( sP15
<=> ( vEBT_invar_vebt
@ ( vEBT_Node
@ ( some_P7363390416028606310at_nat
@ ( product_Pair_nat_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) )
@ deg
@ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
@ deg ) ),
introduced(definition,[new_symbols(definition,[sP15])]) ).
thf(sP16,plain,
( sP16
<=> ( sP1
=> sP15 ) ),
introduced(definition,[new_symbols(definition,[sP16])]) ).
thf(sP17,plain,
( sP17
<=> ( ( suc @ na )
= m ) ),
introduced(definition,[new_symbols(definition,[sP17])]) ).
thf(sP18,plain,
( sP18
<=> ( xa = mi ) ),
introduced(definition,[new_symbols(definition,[sP18])]) ).
thf(sP19,plain,
( sP19
<=> ( deg
= ( plus_plus_nat @ na @ m ) ) ),
introduced(definition,[new_symbols(definition,[sP19])]) ).
thf(sP20,plain,
( sP20
<=> ( ord_less_nat
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) ) ),
introduced(definition,[new_symbols(definition,[sP20])]) ).
thf(sP21,plain,
( sP21
<=> ( ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ m )
=> sP4 ) ),
introduced(definition,[new_symbols(definition,[sP21])]) ).
thf(sP22,plain,
( sP22
<=> ( vEBT_invar_vebt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ m ) ),
introduced(definition,[new_symbols(definition,[sP22])]) ).
thf(sP23,plain,
( sP23
<=> ( mi = ma ) ),
introduced(definition,[new_symbols(definition,[sP23])]) ).
thf(sP24,plain,
( sP24
<=> ( sP7
=> sP9 ) ),
introduced(definition,[new_symbols(definition,[sP24])]) ).
thf(sP25,plain,
( sP25
<=> ( sP8
=> sP3 ) ),
introduced(definition,[new_symbols(definition,[sP25])]) ).
thf(sP26,plain,
( sP26
<=> ( ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) ) ) )
=> ~ ( ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
!= ma )
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma ) ) ) ),
introduced(definition,[new_symbols(definition,[sP26])]) ).
thf(conj_0,conjecture,
sP15 ).
thf(h0,negated_conjecture,
~ sP15,
inference(assume_negation,[status(cth)],[conj_0]) ).
thf(h1,assumption,
vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ summin ) @ eigen__0,
introduced(assumption,[]) ).
thf(h2,assumption,
ord_less_nat @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ),
introduced(assumption,[]) ).
thf(h3,assumption,
ord_less_nat @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ),
introduced(assumption,[]) ).
thf(h4,assumption,
sP20,
introduced(assumption,[]) ).
thf(h5,assumption,
sP5,
introduced(assumption,[]) ).
thf(h6,assumption,
sP26,
introduced(assumption,[]) ).
thf(h7,assumption,
sP11,
introduced(assumption,[]) ).
thf(1,plain,
( ~ sP16
| ~ sP1
| sP15 ),
inference(prop_rule,[status(thm)],[]) ).
thf(2,plain,
( ~ sP14
| ~ sP20
| sP16 ),
inference(prop_rule,[status(thm)],[]) ).
thf(3,plain,
( ~ sP13
| ~ sP5
| sP14 ),
inference(prop_rule,[status(thm)],[]) ).
thf(4,plain,
( sP12
| ~ sP26 ),
inference(prop_rule,[status(thm)],[]) ).
thf(5,plain,
( ~ sP3
| ~ sP12
| sP13 ),
inference(prop_rule,[status(thm)],[]) ).
thf(6,plain,
( ~ sP25
| ~ sP8
| sP3 ),
inference(prop_rule,[status(thm)],[]) ).
thf(7,plain,
( ~ sP9
| ~ sP19
| sP25 ),
inference(prop_rule,[status(thm)],[]) ).
thf(8,plain,
( ~ sP17
| sP7 ),
inference(symeq,[status(thm)],[]) ).
thf(9,plain,
( ~ sP24
| ~ sP7
| sP9 ),
inference(prop_rule,[status(thm)],[]) ).
thf(10,plain,
( ~ sP4
| ~ sP2
| sP24 ),
inference(prop_rule,[status(thm)],[]) ).
thf(11,plain,
( ~ sP21
| ~ sP22
| sP4 ),
inference(prop_rule,[status(thm)],[]) ).
thf(12,plain,
( ~ sP10
| ~ sP6
| sP21 ),
inference(prop_rule,[status(thm)],[]) ).
thf(fact_3__C3_C,axiom,
sP19 ).
thf(fact_24__C8_C,axiom,
sP17 ).
thf(fact_30_newsummvalid,axiom,
sP22 ).
thf(fact_32_allvalidinlist,axiom,
sP6 ).
thf(fact_44_newlistlength,axiom,
sP2 ).
thf(fact_66__C115_C,axiom,
sP1 ).
thf(fact_65__C111_C,axiom,
sP8 ).
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$false,
inference(prop_unsat,[status(thm),assumptions([h6,h4,h5,h2,h3,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,fact_3__C3_C,fact_24__C8_C,fact_30_newsummvalid,fact_32_allvalidinlist,h5,h4,fact_44_newlistlength,fact_66__C115_C,fact_65__C111_C,fact_64__092_060open_062_092_060lbrakk_062_092_060forall_062t_092_060in_062set_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_O_Ainvar__vebt_At_An_059_Ainvar__vebt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Am_059_Alength_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_A_061_A2_A_094_Am_059_Am_A_061_ASuc_An_059_Adeg_A_061_An_A_L_Am_059_A_092_060forall_062i_0602_A_094_Am_O_A_I_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Ai_J_Ax_J_A_061_Aboth__member__options_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ai_059_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_A_092_060longrightarrow_062_A_I_092_060forall_062t_092_060in_062set_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_O_A_092_060nexists_062x_O_Aboth__member__options_At_Ax_J_059_Asummin_A_K_A2_A_094_An_A_L_Alx_A_092_060le_062_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_059_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_A_060_A2_A_094_Adeg_059_Asummin_A_K_A2_A_094_An_A_L_Alx_A_092_060noteq_062_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_A_092_060longrightarrow_062_A_I_092_060forall_062i_0602_A_094_Am_O_A_Ihigh_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_An_A_061_Ai_A_092_060longrightarrow_062_Aboth__member__options_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Ai_J_A_Ilow_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_An_J_J_A_092_060and_062_A_I_092_060forall_062x_O_Ahigh_Ax_An_A_061_Ai_A_092_060and_062_Aboth__member__options_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Ai_J_A_Ilow_Ax_An_J_A_092_060longrightarrow_062_Asummin_A_K_A2_A_094_An_A_L_Alx_A_060_Ax_A_092_060and_062_Ax_A_092_060le_062_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_J_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Ainvar__vebt_A_INode_A_ISome_A_Isummin_A_K_A2_A_094_An_A_L_Alx_M_Aif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_J_Adeg_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_Adeg_092_060close_062,h6,h0]) ).
thf(h8,assumption,
~ sP6,
introduced(assumption,[]) ).
thf(h9,assumption,
sP21,
introduced(assumption,[]) ).
thf(14,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h8,h7,h4,h5,h2,h3,h1,h0])],[fact_32_allvalidinlist,h8]) ).
thf(h10,assumption,
~ sP22,
introduced(assumption,[]) ).
thf(h11,assumption,
sP4,
introduced(assumption,[]) ).
thf(15,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h10,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_30_newsummvalid,h10]) ).
thf(h12,assumption,
~ sP2,
introduced(assumption,[]) ).
thf(h13,assumption,
sP24,
introduced(assumption,[]) ).
thf(16,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h12,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_44_newlistlength,h12]) ).
thf(h14,assumption,
~ sP7,
introduced(assumption,[]) ).
thf(h15,assumption,
sP9,
introduced(assumption,[]) ).
thf(17,plain,
( ~ sP17
| sP7 ),
inference(symeq,[status(thm)],[]) ).
thf(18,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h14,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[17,fact_24__C8_C,h14]) ).
thf(h16,assumption,
~ sP19,
introduced(assumption,[]) ).
thf(h17,assumption,
sP25,
introduced(assumption,[]) ).
thf(19,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h16,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_3__C3_C,h16]) ).
thf(h18,assumption,
~ sP8,
introduced(assumption,[]) ).
thf(h19,assumption,
sP3,
introduced(assumption,[]) ).
thf(20,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h18,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_65__C111_C,h18]) ).
thf(h20,assumption,
~ sP12,
introduced(assumption,[]) ).
thf(h21,assumption,
sP13,
introduced(assumption,[]) ).
thf(21,plain,
( sP12
| ~ sP11 ),
inference(prop_rule,[status(thm)],[]) ).
thf(22,plain,
$false,
inference(prop_unsat,[status(thm),assumptions([h20,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[21,h7,h20]) ).
thf(h22,assumption,
~ sP5,
introduced(assumption,[]) ).
thf(h23,assumption,
sP14,
introduced(assumption,[]) ).
thf(23,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h22,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h5,h22]) ).
thf(h24,assumption,
~ sP20,
introduced(assumption,[]) ).
thf(h25,assumption,
sP16,
introduced(assumption,[]) ).
thf(24,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h24,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h4,h24]) ).
thf(h26,assumption,
~ sP1,
introduced(assumption,[]) ).
thf(h27,assumption,
sP15,
introduced(assumption,[]) ).
thf(25,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h26,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_66__C115_C,h26]) ).
thf(h28,assumption,
~ sP26,
introduced(assumption,[]) ).
thf(h29,assumption,
! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ( ( ( vEBT_VEBT_high
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ na )
= X1 )
=> ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ X1 )
@ ( vEBT_VEBT_low
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma )
@ na ) ) )
=> ~ ! [X2: nat] :
( ~ ( ( ( vEBT_VEBT_high @ X2 @ na )
= X1 )
=> ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ X1 ) @ ( vEBT_VEBT_low @ X2 @ na ) ) )
=> ~ ( ( ord_less_nat @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ X2 )
=> ~ ( ord_less_eq_nat @ X2
@ ( if_nat
@ ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ma )
@ ( if_nat
@ ( ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) )
= none_nat )
@ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
@ ( plus_plus_nat @ ( times_times_nat @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( nth_VEBT_VEBT @ ( list_u1324408373059187874T_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( vEBT_vebt_delete @ ( nth_VEBT_VEBT @ treeList @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) @ ( the_nat @ ( vEBT_vebt_maxt @ ( vEBT_vebt_delete @ summary @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) ) ) ) ) ) ) ) )
@ ma ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(26,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h28,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h27,h0]) ).
thf(h30,assumption,
~ sP23,
introduced(assumption,[]) ).
thf(h31,assumption,
! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ),
introduced(assumption,[]) ).
thf(27,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h30,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h27,h0]) ).
thf(h32,assumption,
~ sP18,
introduced(assumption,[]) ).
thf(h33,assumption,
xa != ma,
introduced(assumption,[]) ).
thf(h34,assumption,
ord_less_eq_nat @ mi @ xa,
introduced(assumption,[]) ).
thf(h35,assumption,
ord_less_eq_nat @ xa @ ma,
introduced(assumption,[]) ).
thf(h36,assumption,
sP23,
introduced(assumption,[]) ).
thf(h37,assumption,
! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ( ( ( vEBT_VEBT_high @ ma @ na )
= X1 )
=> ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ ma @ na ) ) )
=> ~ ! [X2: nat] :
( ~ ( ( ( vEBT_VEBT_high @ X2 @ na )
= X1 )
=> ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ X2 @ na ) ) )
=> ~ ( ( ord_less_nat @ mi @ X2 )
=> ~ ( ord_less_eq_nat @ X2 @ ma ) ) ) ) ),
introduced(assumption,[]) ).
thf(h38,assumption,
ord_less_eq_nat @ mi @ ma,
introduced(assumption,[]) ).
thf(h39,assumption,
ord_less_nat @ ma @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ),
introduced(assumption,[]) ).
thf(h40,assumption,
ord_less_nat @ xa @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ),
introduced(assumption,[]) ).
thf(h41,assumption,
( sP18
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h42,assumption,
( ~ sP18
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= xa ) ),
introduced(assumption,[]) ).
thf(h43,assumption,
( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ),
introduced(assumption,[]) ).
thf(h44,assumption,
sP18,
introduced(assumption,[]) ).
thf(h45,assumption,
( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= xa ),
introduced(assumption,[]) ).
thf(28,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h44,h32]) ).
thf(h46,assumption,
( ( some_nat @ eigen__43 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h47,assumption,
( ( some_nat @ eigen__44 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h48,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__45 )
=> ~ ( ord_less_eq_real @ eigen__45 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__45 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__45 ) ) ),
introduced(assumption,[]) ).
thf(h49,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__45 )
=> ~ ( ord_less_eq_real @ eigen__45 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__45 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h50,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__45 ) ),
introduced(assumption,[]) ).
thf(h51,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__45 )
=> ~ ( ord_less_eq_real @ eigen__45 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h52,assumption,
( ( cos_real @ eigen__45 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h53,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__45,
introduced(assumption,[]) ).
thf(h54,assumption,
ord_less_eq_real @ eigen__45 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(29,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h53,h54,h51,h52,h49,h50,h48,h47,h46,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h36,h30]) ).
thf(30,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h51,h52,h49,h50,h48,h47,h46,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h53,h54])],[h51,29,h53,h54]) ).
thf(31,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h49,h50,h48,h47,h46,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h51,h52])],[h49,30,h51,h52]) ).
thf(32,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h48,h47,h46,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h49,h50])],[h48,31,h49,h50]) ).
thf(fact_8025_cos__is__zero,axiom,
~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ~ ! [X2: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X2 )
=> ~ ( ord_less_eq_real @ X2 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X2 )
!= zero_zero_real ) )
=> ( X2 = X1 ) ) ) ).
thf(33,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h47,h46,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h48]),tab_negall(eigenvar,eigen__45)],[fact_8025_cos__is__zero,32,h48]) ).
thf(fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
~ ! [X1: nat] :
( ( some_nat @ X1 )
!= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ) ).
thf(34,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h46,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h47]),tab_negall(eigenvar,eigen__44)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,33,h47]) ).
thf(fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,
~ ! [X1: nat] :
( ( some_nat @ X1 )
!= ( vEBT_vebt_mint @ summary ) ) ).
thf(35,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h46]),tab_negall(eigenvar,eigen__43)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,34,h46]) ).
thf(36,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,28,35,h44,h45]) ).
thf(h55,assumption,
( ( some_nat @ eigen__40 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h56,assumption,
( ( some_nat @ eigen__41 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h57,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__42 )
=> ~ ( ord_less_eq_real @ eigen__42 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__42 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__42 ) ) ),
introduced(assumption,[]) ).
thf(h58,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__42 )
=> ~ ( ord_less_eq_real @ eigen__42 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__42 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h59,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__42 ) ),
introduced(assumption,[]) ).
thf(h60,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__42 )
=> ~ ( ord_less_eq_real @ eigen__42 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h61,assumption,
( ( cos_real @ eigen__42 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h62,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__42,
introduced(assumption,[]) ).
thf(h63,assumption,
ord_less_eq_real @ eigen__42 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(37,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h62,h63,h60,h61,h58,h59,h57,h56,h55,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h36,h30]) ).
thf(38,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h60,h61,h58,h59,h57,h56,h55,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h62,h63])],[h60,37,h62,h63]) ).
thf(39,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h58,h59,h57,h56,h55,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h60,h61])],[h58,38,h60,h61]) ).
thf(40,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h57,h56,h55,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h58,h59])],[h57,39,h58,h59]) ).
thf(41,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h56,h55,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h57]),tab_negall(eigenvar,eigen__42)],[fact_8025_cos__is__zero,40,h57]) ).
thf(42,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h55,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h56]),tab_negall(eigenvar,eigen__41)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,41,h56]) ).
thf(43,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h55]),tab_negall(eigenvar,eigen__40)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,42,h55]) ).
thf(h64,assumption,
( ( some_nat @ eigen__37 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h65,assumption,
( ( some_nat @ eigen__38 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h66,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__39 )
=> ~ ( ord_less_eq_real @ eigen__39 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__39 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__39 ) ) ),
introduced(assumption,[]) ).
thf(h67,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__39 )
=> ~ ( ord_less_eq_real @ eigen__39 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__39 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h68,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__39 ) ),
introduced(assumption,[]) ).
thf(h69,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__39 )
=> ~ ( ord_less_eq_real @ eigen__39 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h70,assumption,
( ( cos_real @ eigen__39 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h71,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__39,
introduced(assumption,[]) ).
thf(h72,assumption,
ord_less_eq_real @ eigen__39 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(44,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h71,h72,h69,h70,h67,h68,h66,h65,h64,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h36,h30]) ).
thf(45,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h69,h70,h67,h68,h66,h65,h64,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h71,h72])],[h69,44,h71,h72]) ).
thf(46,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h67,h68,h66,h65,h64,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h69,h70])],[h67,45,h69,h70]) ).
thf(47,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h66,h65,h64,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h67,h68])],[h66,46,h67,h68]) ).
thf(48,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h65,h64,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h66]),tab_negall(eigenvar,eigen__39)],[fact_8025_cos__is__zero,47,h66]) ).
thf(49,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h64,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h65]),tab_negall(eigenvar,eigen__38)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,48,h65]) ).
thf(50,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h64]),tab_negall(eigenvar,eigen__37)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,49,h64]) ).
thf(51,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,43,50,h44,h45]) ).
thf(52,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h41,h42,h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h32]),tab_imp(discharge,[h43])],[h41,36,51,h32,h43]) ).
thf(fact_352__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Ax_A_061_Ami_Athen_Athe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_Aelse_Ax_J_092_060close_062,axiom,
~ ( ( sP18
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= ( plus_plus_nat @ ( times_times_nat @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ ( divide_divide_nat @ deg @ ( numeral_numeral_nat @ ( bit0 @ one ) ) ) ) ) @ ( the_nat @ ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ ( the_nat @ ( vEBT_vebt_mint @ summary ) ) ) ) ) ) ) )
=> ~ ( ~ sP18
=> ( ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx )
= xa ) ) ) ).
thf(53,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h40,h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h41,h42])],[fact_352__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Ax_A_061_Ami_Athen_Athe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_Aelse_Ax_J_092_060close_062,52,h41,h42]) ).
thf(fact_169__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,axiom,
~ ( ~ sP23
=> ~ ( ord_less_nat @ xa @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) ) ) ).
thf(54,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h30,h40])],[fact_169__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,53,h30,h40]) ).
thf(fact_157__C6_C,axiom,
~ ( ( ord_less_eq_nat @ mi @ ma )
=> ~ ( ord_less_nat @ ma @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ deg ) ) ) ).
thf(55,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h36,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h38,h39])],[fact_157__C6_C,54,h38,h39]) ).
thf(h73,assumption,
( ( some_nat @ eigen__34 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h74,assumption,
( ( some_nat @ eigen__35 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h75,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__36 )
=> ~ ( ord_less_eq_real @ eigen__36 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__36 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__36 ) ) ),
introduced(assumption,[]) ).
thf(h76,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__36 )
=> ~ ( ord_less_eq_real @ eigen__36 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__36 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h77,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__36 ) ),
introduced(assumption,[]) ).
thf(h78,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__36 )
=> ~ ( ord_less_eq_real @ eigen__36 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h79,assumption,
( ( cos_real @ eigen__36 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h80,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__36,
introduced(assumption,[]) ).
thf(h81,assumption,
ord_less_eq_real @ eigen__36 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(56,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h80,h81,h78,h79,h76,h77,h75,h74,h73,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h44,h32]) ).
thf(57,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h78,h79,h76,h77,h75,h74,h73,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h80,h81])],[h78,56,h80,h81]) ).
thf(58,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h76,h77,h75,h74,h73,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h78,h79])],[h76,57,h78,h79]) ).
thf(59,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h75,h74,h73,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h76,h77])],[h75,58,h76,h77]) ).
thf(60,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h74,h73,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h75]),tab_negall(eigenvar,eigen__36)],[fact_8025_cos__is__zero,59,h75]) ).
thf(61,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h73,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h74]),tab_negall(eigenvar,eigen__35)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,60,h74]) ).
thf(62,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h73]),tab_negall(eigenvar,eigen__34)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,61,h73]) ).
thf(h82,assumption,
( ( some_nat @ eigen__31 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h83,assumption,
( ( some_nat @ eigen__32 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h84,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__33 )
=> ~ ( ord_less_eq_real @ eigen__33 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__33 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__33 ) ) ),
introduced(assumption,[]) ).
thf(h85,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__33 )
=> ~ ( ord_less_eq_real @ eigen__33 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__33 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h86,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__33 ) ),
introduced(assumption,[]) ).
thf(h87,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__33 )
=> ~ ( ord_less_eq_real @ eigen__33 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h88,assumption,
( ( cos_real @ eigen__33 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h89,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__33,
introduced(assumption,[]) ).
thf(h90,assumption,
ord_less_eq_real @ eigen__33 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(fact_90_False,axiom,
sP18 ).
thf(63,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h89,h90,h87,h88,h85,h86,h84,h83,h82,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_90_False,h32]) ).
thf(64,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h87,h88,h85,h86,h84,h83,h82,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h89,h90])],[h87,63,h89,h90]) ).
thf(65,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h85,h86,h84,h83,h82,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h87,h88])],[h85,64,h87,h88]) ).
thf(66,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h84,h83,h82,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h85,h86])],[h84,65,h85,h86]) ).
thf(67,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h83,h82,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h84]),tab_negall(eigenvar,eigen__33)],[fact_8025_cos__is__zero,66,h84]) ).
thf(68,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h82,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h83]),tab_negall(eigenvar,eigen__32)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,67,h83]) ).
thf(69,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h82]),tab_negall(eigenvar,eigen__31)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,68,h82]) ).
thf(70,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,62,69,h44,h45]) ).
thf(h91,assumption,
( ( some_nat @ eigen__28 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h92,assumption,
( ( some_nat @ eigen__29 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h93,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__30 )
=> ~ ( ord_less_eq_real @ eigen__30 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__30 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__30 ) ) ),
introduced(assumption,[]) ).
thf(h94,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__30 )
=> ~ ( ord_less_eq_real @ eigen__30 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__30 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h95,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__30 ) ),
introduced(assumption,[]) ).
thf(h96,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__30 )
=> ~ ( ord_less_eq_real @ eigen__30 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h97,assumption,
( ( cos_real @ eigen__30 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h98,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__30,
introduced(assumption,[]) ).
thf(h99,assumption,
ord_less_eq_real @ eigen__30 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(71,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h98,h99,h96,h97,h94,h95,h93,h92,h91,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h44,h32]) ).
thf(72,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h96,h97,h94,h95,h93,h92,h91,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h98,h99])],[h96,71,h98,h99]) ).
thf(73,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h94,h95,h93,h92,h91,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h96,h97])],[h94,72,h96,h97]) ).
thf(74,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h93,h92,h91,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h94,h95])],[h93,73,h94,h95]) ).
thf(75,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h92,h91,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h93]),tab_negall(eigenvar,eigen__30)],[fact_8025_cos__is__zero,74,h93]) ).
thf(76,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h91,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h92]),tab_negall(eigenvar,eigen__29)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,75,h92]) ).
thf(77,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h91]),tab_negall(eigenvar,eigen__28)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,76,h91]) ).
thf(h100,assumption,
( ( some_nat @ eigen__25 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h101,assumption,
( ( some_nat @ eigen__26 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h102,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__27 )
=> ~ ( ord_less_eq_real @ eigen__27 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__27 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__27 ) ) ),
introduced(assumption,[]) ).
thf(h103,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__27 )
=> ~ ( ord_less_eq_real @ eigen__27 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__27 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h104,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__27 ) ),
introduced(assumption,[]) ).
thf(h105,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__27 )
=> ~ ( ord_less_eq_real @ eigen__27 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h106,assumption,
( ( cos_real @ eigen__27 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h107,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__27,
introduced(assumption,[]) ).
thf(h108,assumption,
ord_less_eq_real @ eigen__27 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(78,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h107,h108,h105,h106,h103,h104,h102,h101,h100,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_90_False,h32]) ).
thf(79,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h105,h106,h103,h104,h102,h101,h100,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h107,h108])],[h105,78,h107,h108]) ).
thf(80,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h103,h104,h102,h101,h100,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h105,h106])],[h103,79,h105,h106]) ).
thf(81,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h102,h101,h100,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h103,h104])],[h102,80,h103,h104]) ).
thf(82,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h101,h100,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h102]),tab_negall(eigenvar,eigen__27)],[fact_8025_cos__is__zero,81,h102]) ).
thf(83,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h100,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h101]),tab_negall(eigenvar,eigen__26)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,82,h101]) ).
thf(84,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h100]),tab_negall(eigenvar,eigen__25)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,83,h100]) ).
thf(85,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,77,84,h44,h45]) ).
thf(86,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h41,h42,h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h32]),tab_imp(discharge,[h43])],[h41,70,85,h32,h43]) ).
thf(87,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h40,h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h41,h42])],[fact_352__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Ax_A_061_Ami_Athen_Athe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_Aelse_Ax_J_092_060close_062,86,h41,h42]) ).
thf(88,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h30,h40])],[fact_169__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,87,h30,h40]) ).
thf(89,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h37,h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h38,h39])],[fact_157__C6_C,88,h38,h39]) ).
thf(fact_155__C7_C,axiom,
( ~ sP23
=> ! [X1: nat] :
( ( ord_less_nat @ X1 @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ( ( ( vEBT_VEBT_high @ ma @ na )
= X1 )
=> ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ ma @ na ) ) )
=> ~ ! [X2: nat] :
( ~ ( ( ( vEBT_VEBT_high @ X2 @ na )
= X1 )
=> ~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ X1 ) @ ( vEBT_VEBT_low @ X2 @ na ) ) )
=> ~ ( ( ord_less_nat @ mi @ X2 )
=> ~ ( ord_less_eq_nat @ X2 @ ma ) ) ) ) ) ) ).
thf(90,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h34,h35,h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h36]),tab_imp(discharge,[h37])],[fact_155__C7_C,55,89,h36,h37]) ).
thf(fact_114_inrg,axiom,
~ ( ( ord_less_eq_nat @ mi @ xa )
=> ~ ( ord_less_eq_nat @ xa @ ma ) ) ).
thf(91,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h32,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h34,h35])],[fact_114_inrg,90,h34,h35]) ).
thf(h109,assumption,
( ( some_nat @ eigen__22 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h110,assumption,
( ( some_nat @ eigen__23 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h111,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__24 )
=> ~ ( ord_less_eq_real @ eigen__24 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__24 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__24 ) ) ),
introduced(assumption,[]) ).
thf(h112,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__24 )
=> ~ ( ord_less_eq_real @ eigen__24 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__24 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h113,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__24 ) ),
introduced(assumption,[]) ).
thf(h114,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__24 )
=> ~ ( ord_less_eq_real @ eigen__24 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h115,assumption,
( ( cos_real @ eigen__24 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h116,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__24,
introduced(assumption,[]) ).
thf(h117,assumption,
ord_less_eq_real @ eigen__24 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(92,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h116,h117,h114,h115,h112,h113,h111,h110,h109,h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h44,h32]) ).
thf(93,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h114,h115,h112,h113,h111,h110,h109,h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h116,h117])],[h114,92,h116,h117]) ).
thf(94,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h112,h113,h111,h110,h109,h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h114,h115])],[h112,93,h114,h115]) ).
thf(95,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h111,h110,h109,h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h112,h113])],[h111,94,h112,h113]) ).
thf(96,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h110,h109,h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h111]),tab_negall(eigenvar,eigen__24)],[fact_8025_cos__is__zero,95,h111]) ).
thf(97,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h109,h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h110]),tab_negall(eigenvar,eigen__23)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,96,h110]) ).
thf(98,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h109]),tab_negall(eigenvar,eigen__22)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,97,h109]) ).
thf(h118,assumption,
( ( some_nat @ eigen__19 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h119,assumption,
( ( some_nat @ eigen__20 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h120,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__21 )
=> ~ ( ord_less_eq_real @ eigen__21 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__21 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__21 ) ) ),
introduced(assumption,[]) ).
thf(h121,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__21 )
=> ~ ( ord_less_eq_real @ eigen__21 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__21 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h122,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__21 ) ),
introduced(assumption,[]) ).
thf(h123,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__21 )
=> ~ ( ord_less_eq_real @ eigen__21 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h124,assumption,
( ( cos_real @ eigen__21 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h125,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__21,
introduced(assumption,[]) ).
thf(h126,assumption,
ord_less_eq_real @ eigen__21 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(99,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h125,h126,h123,h124,h121,h122,h120,h119,h118,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h36,h30]) ).
thf(100,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h123,h124,h121,h122,h120,h119,h118,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h125,h126])],[h123,99,h125,h126]) ).
thf(101,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h121,h122,h120,h119,h118,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h123,h124])],[h121,100,h123,h124]) ).
thf(102,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h120,h119,h118,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h121,h122])],[h120,101,h121,h122]) ).
thf(103,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h119,h118,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h120]),tab_negall(eigenvar,eigen__21)],[fact_8025_cos__is__zero,102,h120]) ).
thf(104,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h118,h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h119]),tab_negall(eigenvar,eigen__20)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,103,h119]) ).
thf(105,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h118]),tab_negall(eigenvar,eigen__19)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,104,h118]) ).
thf(106,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h32,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,98,105,h44,h45]) ).
thf(h127,assumption,
( ( some_nat @ eigen__16 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h128,assumption,
( ( some_nat @ eigen__17 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h129,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__18 )
=> ~ ( ord_less_eq_real @ eigen__18 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__18 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__18 ) ) ),
introduced(assumption,[]) ).
thf(h130,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__18 )
=> ~ ( ord_less_eq_real @ eigen__18 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__18 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h131,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__18 ) ),
introduced(assumption,[]) ).
thf(h132,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__18 )
=> ~ ( ord_less_eq_real @ eigen__18 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h133,assumption,
( ( cos_real @ eigen__18 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h134,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__18,
introduced(assumption,[]) ).
thf(h135,assumption,
ord_less_eq_real @ eigen__18 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(107,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h134,h135,h132,h133,h130,h131,h129,h128,h127,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h36,h30]) ).
thf(108,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h132,h133,h130,h131,h129,h128,h127,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h134,h135])],[h132,107,h134,h135]) ).
thf(109,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h130,h131,h129,h128,h127,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h132,h133])],[h130,108,h132,h133]) ).
thf(110,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h129,h128,h127,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h130,h131])],[h129,109,h130,h131]) ).
thf(111,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h128,h127,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h129]),tab_negall(eigenvar,eigen__18)],[fact_8025_cos__is__zero,110,h129]) ).
thf(112,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h127,h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h128]),tab_negall(eigenvar,eigen__17)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,111,h128]) ).
thf(113,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h127]),tab_negall(eigenvar,eigen__16)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,112,h127]) ).
thf(h136,assumption,
( ( some_nat @ eigen__13 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h137,assumption,
( ( some_nat @ eigen__14 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h138,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__15 )
=> ~ ( ord_less_eq_real @ eigen__15 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__15 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__15 ) ) ),
introduced(assumption,[]) ).
thf(h139,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__15 )
=> ~ ( ord_less_eq_real @ eigen__15 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__15 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h140,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__15 ) ),
introduced(assumption,[]) ).
thf(h141,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__15 )
=> ~ ( ord_less_eq_real @ eigen__15 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h142,assumption,
( ( cos_real @ eigen__15 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h143,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__15,
introduced(assumption,[]) ).
thf(h144,assumption,
ord_less_eq_real @ eigen__15 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(114,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h143,h144,h141,h142,h139,h140,h138,h137,h136,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h36,h30]) ).
thf(115,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h141,h142,h139,h140,h138,h137,h136,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h143,h144])],[h141,114,h143,h144]) ).
thf(116,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h139,h140,h138,h137,h136,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h141,h142])],[h139,115,h141,h142]) ).
thf(117,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h138,h137,h136,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h139,h140])],[h138,116,h139,h140]) ).
thf(118,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h137,h136,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h138]),tab_negall(eigenvar,eigen__15)],[fact_8025_cos__is__zero,117,h138]) ).
thf(119,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h136,h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h137]),tab_negall(eigenvar,eigen__14)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,118,h137]) ).
thf(120,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h136]),tab_negall(eigenvar,eigen__13)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,119,h136]) ).
thf(121,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h43,h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,113,120,h44,h45]) ).
thf(122,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h41,h42,h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h32]),tab_imp(discharge,[h43])],[h41,106,121,h32,h43]) ).
thf(123,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h40,h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h41,h42])],[fact_352__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Ax_A_061_Ami_Athen_Athe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_Aelse_Ax_J_092_060close_062,122,h41,h42]) ).
thf(124,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h30,h40])],[fact_169__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,123,h30,h40]) ).
thf(125,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h36,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h38,h39])],[fact_157__C6_C,124,h38,h39]) ).
thf(h145,assumption,
( ( some_nat @ eigen__10 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h146,assumption,
( ( some_nat @ eigen__11 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h147,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__12 )
=> ~ ( ord_less_eq_real @ eigen__12 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__12 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__12 ) ) ),
introduced(assumption,[]) ).
thf(h148,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__12 )
=> ~ ( ord_less_eq_real @ eigen__12 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__12 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h149,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__12 ) ),
introduced(assumption,[]) ).
thf(h150,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__12 )
=> ~ ( ord_less_eq_real @ eigen__12 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h151,assumption,
( ( cos_real @ eigen__12 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h152,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__12,
introduced(assumption,[]) ).
thf(h153,assumption,
ord_less_eq_real @ eigen__12 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(126,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h152,h153,h150,h151,h148,h149,h147,h146,h145,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h44,h32]) ).
thf(127,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h150,h151,h148,h149,h147,h146,h145,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h152,h153])],[h150,126,h152,h153]) ).
thf(128,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h148,h149,h147,h146,h145,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h150,h151])],[h148,127,h150,h151]) ).
thf(129,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h147,h146,h145,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h148,h149])],[h147,128,h148,h149]) ).
thf(130,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h146,h145,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h147]),tab_negall(eigenvar,eigen__12)],[fact_8025_cos__is__zero,129,h147]) ).
thf(131,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h145,h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h146]),tab_negall(eigenvar,eigen__11)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,130,h146]) ).
thf(132,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h145]),tab_negall(eigenvar,eigen__10)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,131,h145]) ).
thf(h154,assumption,
( ( some_nat @ eigen__7 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h155,assumption,
( ( some_nat @ eigen__8 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h156,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__9 )
=> ~ ( ord_less_eq_real @ eigen__9 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__9 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__9 ) ) ),
introduced(assumption,[]) ).
thf(h157,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__9 )
=> ~ ( ord_less_eq_real @ eigen__9 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__9 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h158,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__9 ) ),
introduced(assumption,[]) ).
thf(h159,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__9 )
=> ~ ( ord_less_eq_real @ eigen__9 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h160,assumption,
( ( cos_real @ eigen__9 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h161,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__9,
introduced(assumption,[]) ).
thf(h162,assumption,
ord_less_eq_real @ eigen__9 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(133,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h161,h162,h159,h160,h157,h158,h156,h155,h154,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[fact_90_False,h32]) ).
thf(134,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h159,h160,h157,h158,h156,h155,h154,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h161,h162])],[h159,133,h161,h162]) ).
thf(135,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h157,h158,h156,h155,h154,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h159,h160])],[h157,134,h159,h160]) ).
thf(136,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h156,h155,h154,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h157,h158])],[h156,135,h157,h158]) ).
thf(137,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h155,h154,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h156]),tab_negall(eigenvar,eigen__9)],[fact_8025_cos__is__zero,136,h156]) ).
thf(138,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h154,h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h155]),tab_negall(eigenvar,eigen__8)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,137,h155]) ).
thf(139,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h154]),tab_negall(eigenvar,eigen__7)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,138,h154]) ).
thf(140,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h32,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,132,139,h44,h45]) ).
thf(h163,assumption,
( ( some_nat @ eigen__4 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h164,assumption,
( ( some_nat @ eigen__5 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h165,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__6 )
=> ~ ( ord_less_eq_real @ eigen__6 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__6 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__6 ) ) ),
introduced(assumption,[]) ).
thf(h166,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__6 )
=> ~ ( ord_less_eq_real @ eigen__6 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__6 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h167,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__6 ) ),
introduced(assumption,[]) ).
thf(h168,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__6 )
=> ~ ( ord_less_eq_real @ eigen__6 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h169,assumption,
( ( cos_real @ eigen__6 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h170,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__6,
introduced(assumption,[]) ).
thf(h171,assumption,
ord_less_eq_real @ eigen__6 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(141,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h170,h171,h168,h169,h166,h167,h165,h164,h163,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h27,h0]) ).
thf(142,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h168,h169,h166,h167,h165,h164,h163,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h170,h171])],[h168,141,h170,h171]) ).
thf(143,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h166,h167,h165,h164,h163,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h168,h169])],[h166,142,h168,h169]) ).
thf(144,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h165,h164,h163,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h166,h167])],[h165,143,h166,h167]) ).
thf(145,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h164,h163,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h165]),tab_negall(eigenvar,eigen__6)],[fact_8025_cos__is__zero,144,h165]) ).
thf(146,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h163,h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h164]),tab_negall(eigenvar,eigen__5)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,145,h164]) ).
thf(147,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h44,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h163]),tab_negall(eigenvar,eigen__4)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,146,h163]) ).
thf(h172,assumption,
( ( some_nat @ eigen__1 )
= ( vEBT_vebt_mint @ summary ) ),
introduced(assumption,[]) ).
thf(h173,assumption,
( ( some_nat @ eigen__2 )
= ( vEBT_vebt_mint @ ( nth_VEBT_VEBT @ treeList @ summin ) ) ),
introduced(assumption,[]) ).
thf(h174,assumption,
~ ( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__3 )
=> ~ ( ord_less_eq_real @ eigen__3 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__3 )
!= zero_zero_real ) )
=> ~ ! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__3 ) ) ),
introduced(assumption,[]) ).
thf(h175,assumption,
~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__3 )
=> ~ ( ord_less_eq_real @ eigen__3 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ eigen__3 )
!= zero_zero_real ) ),
introduced(assumption,[]) ).
thf(h176,assumption,
! [X1: real] :
( ~ ( ~ ( ( ord_less_eq_real @ zero_zero_real @ X1 )
=> ~ ( ord_less_eq_real @ X1 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) )
=> ( ( cos_real @ X1 )
!= zero_zero_real ) )
=> ( X1 = eigen__3 ) ),
introduced(assumption,[]) ).
thf(h177,assumption,
~ ( ( ord_less_eq_real @ zero_zero_real @ eigen__3 )
=> ~ ( ord_less_eq_real @ eigen__3 @ ( numeral_numeral_real @ ( bit0 @ one ) ) ) ),
introduced(assumption,[]) ).
thf(h178,assumption,
( ( cos_real @ eigen__3 )
= zero_zero_real ),
introduced(assumption,[]) ).
thf(h179,assumption,
ord_less_eq_real @ zero_zero_real @ eigen__3,
introduced(assumption,[]) ).
thf(h180,assumption,
ord_less_eq_real @ eigen__3 @ ( numeral_numeral_real @ ( bit0 @ one ) ),
introduced(assumption,[]) ).
thf(148,plain,
$false,
inference(tab_conflict,[status(thm),assumptions([h179,h180,h177,h178,h175,h176,h174,h173,h172,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0])],[h27,h0]) ).
thf(149,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h177,h178,h175,h176,h174,h173,h172,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h179,h180])],[h177,148,h179,h180]) ).
thf(150,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h175,h176,h174,h173,h172,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h177,h178])],[h175,149,h177,h178]) ).
thf(151,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h174,h173,h172,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h175,h176])],[h174,150,h175,h176]) ).
thf(152,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h173,h172,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h174]),tab_negall(eigenvar,eigen__3)],[fact_8025_cos__is__zero,151,h174]) ).
thf(153,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h172,h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h173]),tab_negall(eigenvar,eigen__2)],[fact_358__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,152,h173]) ).
thf(154,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h45,h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negall(discharge,[h172]),tab_negall(eigenvar,eigen__1)],[fact_356__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,153,h172]) ).
thf(155,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h43,h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h44]),tab_imp(discharge,[h45])],[h42,147,154,h44,h45]) ).
thf(156,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h41,h42,h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h32]),tab_imp(discharge,[h43])],[h41,140,155,h32,h43]) ).
thf(157,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h30,h40,h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h41,h42])],[fact_352__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Ax_A_061_Ami_Athen_Athe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_Aelse_Ax_J_092_060close_062,156,h41,h42]) ).
thf(158,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h38,h39,h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h30,h40])],[fact_169__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,157,h30,h40]) ).
thf(159,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h37,h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h38,h39])],[fact_157__C6_C,158,h38,h39]) ).
thf(160,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h34,h35,h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h36]),tab_imp(discharge,[h37])],[fact_155__C7_C,125,159,h36,h37]) ).
thf(161,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h33,h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h34,h35])],[fact_114_inrg,160,h34,h35]) ).
thf(fact_113__092_060open_062x_A_092_060noteq_062_Ami_A_092_060or_062_Ax_A_092_060noteq_062_Ama_092_060close_062,axiom,
( sP18
=> ( xa != ma ) ) ).
thf(162,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h31,h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h32]),tab_imp(discharge,[h33])],[fact_113__092_060open_062x_A_092_060noteq_062_Ami_A_092_060or_062_Ax_A_092_060noteq_062_Ama_092_060close_062,91,161,h32,h33]) ).
thf(fact_96__C5_C,axiom,
( sP23
=> ! [X1: vEBT_VEBT] :
( ( member_VEBT_VEBT @ X1 @ ( set_VEBT_VEBT2 @ treeList ) )
=> ! [X2: nat] :
~ ( vEBT_V8194947554948674370ptions @ X1 @ X2 ) ) ) ).
thf(163,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h29,h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h30]),tab_imp(discharge,[h31])],[fact_96__C5_C,27,162,h30,h31]) ).
thf(164,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h27,h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h28]),tab_imp(discharge,[h29])],[fact_66__C115_C,26,163,h28,h29]) ).
thf(165,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h25,h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h26]),tab_imp(discharge,[h27])],[h25,25,164,h26,h27]) ).
thf(166,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h23,h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h24]),tab_imp(discharge,[h25])],[h23,24,165,h24,h25]) ).
thf(167,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h21,h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h22]),tab_imp(discharge,[h23])],[h21,23,166,h22,h23]) ).
thf(168,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h19,h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h20]),tab_imp(discharge,[h21])],[h19,22,167,h20,h21]) ).
thf(169,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h17,h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h18]),tab_imp(discharge,[h19])],[h17,20,168,h18,h19]) ).
thf(170,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h15,h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h16]),tab_imp(discharge,[h17])],[h15,19,169,h16,h17]) ).
thf(171,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h13,h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h14]),tab_imp(discharge,[h15])],[h13,18,170,h14,h15]) ).
thf(172,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h11,h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h13])],[h11,16,171,h12,h13]) ).
thf(173,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h9,h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[h9,15,172,h10,h11]) ).
thf(174,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h7,h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[fact_64__092_060open_062_092_060lbrakk_062_092_060forall_062t_092_060in_062set_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_O_Ainvar__vebt_At_An_059_Ainvar__vebt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Am_059_Alength_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_A_061_A2_A_094_Am_059_Am_A_061_ASuc_An_059_Adeg_A_061_An_A_L_Am_059_A_092_060forall_062i_0602_A_094_Am_O_A_I_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Ai_J_Ax_J_A_061_Aboth__member__options_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ai_059_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_A_092_060longrightarrow_062_A_I_092_060forall_062t_092_060in_062set_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_O_A_092_060nexists_062x_O_Aboth__member__options_At_Ax_J_059_Asummin_A_K_A2_A_094_An_A_L_Alx_A_092_060le_062_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_059_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_A_060_A2_A_094_Adeg_059_Asummin_A_K_A2_A_094_An_A_L_Alx_A_092_060noteq_062_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_A_092_060longrightarrow_062_A_I_092_060forall_062i_0602_A_094_Am_O_A_Ihigh_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_An_A_061_Ai_A_092_060longrightarrow_062_Aboth__member__options_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Ai_J_A_Ilow_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_An_J_J_A_092_060and_062_A_I_092_060forall_062x_O_Ahigh_Ax_An_A_061_Ai_A_092_060and_062_Aboth__member__options_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Ai_J_A_Ilow_Ax_An_J_A_092_060longrightarrow_062_Asummin_A_K_A2_A_094_An_A_L_Alx_A_060_Ax_A_092_060and_062_Ax_A_092_060le_062_A_Iif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_J_J_092_060rbrakk_062_A_092_060Longrightarrow_062_Ainvar__vebt_A_INode_A_ISome_A_Isummin_A_K_A2_A_094_An_A_L_Alx_M_Aif_Asummin_A_K_A2_A_094_An_A_L_Alx_A_061_Ama_Athen_Alet_Amaxs_A_061_Avebt__maxt_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_Ain_Aif_Amaxs_A_061_ANone_Athen_Asummin_A_K_A2_A_094_An_A_L_Alx_Aelse_A2_A_094_A_Ideg_Adiv_A2_J_A_K_Athe_Amaxs_A_L_Athe_A_Ivebt__maxt_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_A_B_Athe_Amaxs_J_J_Aelse_Ama_J_J_Adeg_A_ItreeList_A_091high_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_A_058_061_Avebt__delete_A_ItreeList_A_B_Ahigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_A_Ilow_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_093_J_A_Ivebt__delete_Asummary_A_Ihigh_A_Isummin_A_K_A2_A_094_An_A_L_Alx_J_An_J_J_J_Adeg_092_060close_062,14,173,h8,h9]) ).
thf(fact_63__C112_C,axiom,
sP12 ).
thf(175,plain,
$false,
inference(tab_imp,[status(thm),assumptions([h4,h5,h2,h3,h1,h0]),tab_imp(discharge,[h6]),tab_imp(discharge,[h7])],[fact_63__C112_C,13,174,h6,h7]) ).
thf(fact_62__C114_C,axiom,
~ ( sP20
=> ~ sP5 ) ).
thf(176,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h2,h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[fact_62__C114_C,175,h4,h5]) ).
thf(fact_42_hlbound,axiom,
~ ( ( ord_less_nat @ ( vEBT_VEBT_high @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ m ) )
=> ~ ( ord_less_nat @ ( vEBT_VEBT_low @ ( plus_plus_nat @ ( times_times_nat @ summin @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) @ lx ) @ na ) @ ( power_power_nat @ ( numeral_numeral_nat @ ( bit0 @ one ) ) @ na ) ) ) ).
thf(177,plain,
$false,
inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[fact_42_hlbound,176,h2,h3]) ).
thf(fact_17__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,axiom,
~ ! [X1: nat] :
~ ( vEBT_V8194947554948674370ptions @ ( nth_VEBT_VEBT @ treeList @ summin ) @ X1 ) ).
thf(178,plain,
$false,
inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_17__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,177,h1]) ).
thf(0,theorem,
sP15,
inference(contra,[status(thm),contra(discharge,[h0])],[178,h0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : ITP268^3 : TPTP v9.2.1. Bugfixed v9.2.1.
% 0.00/0.10 % Command : lash -P picomus -M modes -p tstp -t %d %s
% 0.13/0.31 % Computer : n013.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 300
% 0.13/0.31 % DateTime : Fri Feb 27 09:40:38 EST 2026
% 0.13/0.31 % CPUTime :
% 159.50/159.73 % SZS status Theorem
% 159.50/159.73 % Mode: cade22sinegrackle2x080b
% 159.50/159.73 % Steps: 26480
% 159.50/159.73 % SZS output start Proof
% See solution above
%------------------------------------------------------------------------------