0.02/0.10	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.02/0.11	% Command  : lash -P picomus -M modes -p tstp -t %d %s
0.10/0.31	% Computer : n018.cluster.edu
0.10/0.31	% Model    : x86_64 x86_64
0.10/0.31	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	% Memory   : 8042.1875MB
0.10/0.31	% OS       : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit : 960
0.10/0.31	% WCLimit  : 120
0.10/0.31	% DateTime : Tue Aug  9 05:32:00 EDT 2022
0.10/0.31	% CPUTime  : 
0.88/1.15	% SZS status Theorem
0.88/1.15	% Mode: cade22grackle2x6978
0.88/1.15	% Steps: 0
0.88/1.15	% SZS output start Proof
0.88/1.15	thf(ty_real, type, real : $tType).
0.88/1.15	thf(ty_set_VEBT_VEBT, type, set_VEBT_VEBT : $tType).
0.88/1.15	thf(ty_num, type, num : $tType).
0.88/1.15	thf(ty_option_nat, type, option_nat : $tType).
0.88/1.15	thf(ty_vEBT_VEBT, type, vEBT_VEBT : $tType).
0.88/1.15	thf(ty_nat, type, nat : $tType).
0.88/1.15	thf(ty_list_VEBT_VEBT, type, list_VEBT_VEBT : $tType).
0.88/1.15	thf(ty_ord_less_eq_nat, type, ord_less_eq_nat : (nat>nat>$o)).
0.88/1.15	thf(ty_member_VEBT_VEBT, type, member_VEBT_VEBT : (vEBT_VEBT>set_VEBT_VEBT>$o)).
0.88/1.15	thf(ty_divide_divide_nat, type, divide_divide_nat : (nat>nat>nat)).
0.88/1.15	thf(ty_eigen__10, type, eigen__10 : nat).
0.88/1.15	thf(ty_eigen__4, type, eigen__4 : nat).
0.88/1.15	thf(ty_eigen__7, type, eigen__7 : nat).
0.88/1.15	thf(ty_lx, type, lx : nat).
0.88/1.15	thf(ty_eigen__0, type, eigen__0 : nat).
0.88/1.15	thf(ty_deg, type, deg : nat).
0.88/1.15	thf(ty_summin, type, summin : nat).
0.88/1.15	thf(ty_na, type, na : nat).
0.88/1.15	thf(ty_ord_less_nat, type, ord_less_nat : (nat>nat>$o)).
0.88/1.15	thf(ty_vEBT_VEBT_low, type, vEBT_VEBT_low : (nat>nat>nat)).
0.88/1.15	thf(ty_nth_VEBT_VEBT, type, nth_VEBT_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT)).
0.88/1.15	thf(ty_the_nat, type, the_nat : (option_nat>nat)).
0.88/1.15	thf(ty_ma, type, ma : nat).
0.88/1.15	thf(ty_eigen__8, type, eigen__8 : nat).
0.88/1.15	thf(ty_numeral_numeral_real, type, numeral_numeral_real : (num>real)).
0.88/1.15	thf(ty_plus_plus_nat, type, plus_plus_nat : (nat>nat>nat)).
0.88/1.15	thf(ty_eigen__3, type, eigen__3 : nat).
0.88/1.15	thf(ty_zero_zero_real, type, zero_zero_real : real).
0.88/1.15	thf(ty_eigen__11, type, eigen__11 : nat).
0.88/1.15	thf(ty_vEBT_vebt_maxt, type, vEBT_vebt_maxt : (vEBT_VEBT>option_nat)).
0.88/1.15	thf(ty_some_nat, type, some_nat : (nat>option_nat)).
0.88/1.15	thf(ty_mi, type, mi : nat).
0.88/1.15	thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)).
0.88/1.15	thf(ty_m, type, m : nat).
0.88/1.15	thf(ty_if_nat, type, if_nat : ($o>nat>nat>nat)).
0.88/1.15	thf(ty_eigen__1, type, eigen__1 : real).
0.88/1.15	thf(ty_summary, type, summary : vEBT_VEBT).
0.88/1.15	thf(ty_power_power_nat, type, power_power_nat : (nat>nat>nat)).
0.88/1.15	thf(ty_eigen__2, type, eigen__2 : nat).
0.88/1.15	thf(ty_eigen__6, type, eigen__6 : nat).
0.88/1.15	thf(ty_one, type, one : num).
0.88/1.15	thf(ty_cos_real, type, cos_real : (real>real)).
0.88/1.15	thf(ty_vEBT_vebt_delete, type, vEBT_vebt_delete : (vEBT_VEBT>nat>vEBT_VEBT)).
0.88/1.15	thf(ty_treeList, type, treeList : list_VEBT_VEBT).
0.88/1.15	thf(ty_vEBT_VEBT_high, type, vEBT_VEBT_high : (nat>nat>nat)).
0.88/1.15	thf(ty_times_times_nat, type, times_times_nat : (nat>nat>nat)).
0.88/1.15	thf(ty_eigen__5, type, eigen__5 : nat).
0.88/1.15	thf(ty_xa, type, xa : nat).
0.88/1.15	thf(ty_bit0, type, bit0 : (num>num)).
0.88/1.15	thf(ty_vEBT_vebt_mint, type, vEBT_vebt_mint : (vEBT_VEBT>option_nat)).
0.88/1.15	thf(ty_vEBT_V8194947554948674370ptions, type, vEBT_V8194947554948674370ptions : (vEBT_VEBT>nat>$o)).
0.88/1.15	thf(ty_list_u1324408373059187874T_VEBT, type, list_u1324408373059187874T_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT>list_VEBT_VEBT)).
0.88/1.15	thf(ty_eigen__9, type, eigen__9 : nat).
0.88/1.15	thf(ty_ord_less_eq_real, type, ord_less_eq_real : (real>real>$o)).
0.88/1.15	thf(ty_set_VEBT_VEBT2, type, set_VEBT_VEBT2 : (list_VEBT_VEBT>set_VEBT_VEBT)).
0.88/1.15	thf(sP1,plain,sP1 <=> ((ord_less_nat @ (((if_nat @ (((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = ma)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((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,[sP1])])).
0.88/1.15	thf(sP2,plain,sP2 <=> (xa = mi),introduced(definition,[new_symbols(definition,[sP2])])).
0.88/1.15	thf(conj_0,conjecture,sP1).
0.88/1.15	thf(h0,negated_conjecture,(~(sP1)),inference(assume_negation,[status(cth)],[conj_0])).
0.88/1.15	thf(h1,assumption,((ord_less_nat @ xa) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)),introduced(assumption,[])).
0.88/1.15	thf(h2,assumption,(~((mi = ma))),introduced(assumption,[])).
0.88/1.15	thf(h3,assumption,(~(sP2)),introduced(assumption,[])).
0.88/1.15	thf(h4,assumption,(~((xa = ma))),introduced(assumption,[])).
0.88/1.15	thf(fact_194_xmi,axiom,sP2).
0.88/1.15	thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h3,h1,h2,h0])],[fact_194_xmi,h3])).
0.88/1.15	thf(h5,assumption,((vEBT_V8194947554948674370ptions @ ((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))) @ eigen__0),introduced(assumption,[])).
0.88/1.15	thf(h6,assumption,((ord_less_eq_nat @ mi) @ xa),introduced(assumption,[])).
0.88/1.15	thf(h7,assumption,((ord_less_eq_nat @ xa) @ ma),introduced(assumption,[])).
0.88/1.15	thf(h8,assumption,(~(((~(((~(((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1))) => (~(((cos_real @ eigen__1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ eigen__1)))))),introduced(assumption,[])).
0.88/1.15	thf(h9,assumption,(~(((~(((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1))) => (~(((cos_real @ eigen__1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one)))))))),introduced(assumption,[])).
0.88/1.15	thf(h10,assumption,((ord_less_eq_real @ zero_zero_real) @ eigen__1),introduced(assumption,[])).
0.88/1.15	thf(h11,assumption,(~(((![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1))) => (~(((cos_real @ eigen__1) = zero_zero_real)))))),introduced(assumption,[])).
0.88/1.15	thf(h12,assumption,((ord_less_eq_real @ eigen__1) @ (numeral_numeral_real @ (bit0 @ one))),introduced(assumption,[])).
0.88/1.15	thf(h13,assumption,(![X1:real]:((~(((~((((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))) => (X1 = eigen__1))),introduced(assumption,[])).
0.88/1.15	thf(h14,assumption,((cos_real @ eigen__1) = zero_zero_real),introduced(assumption,[])).
0.88/1.15	thf(h15,assumption,sP1,introduced(assumption,[])).
0.88/1.15	thf(h16,assumption,((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)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))) @ ma)),introduced(assumption,[])).
0.88/1.15	thf(h17,assumption,(~((((((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) = ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((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(assumption,[])).
0.88/1.15	thf(h18,assumption,(![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)) @ ((vEBT_VEBT_low @ X2) @ na)) => (~((((vEBT_VEBT_high @ X2) @ na) = X1)))))) => (~((((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)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))) @ ma))))))))) => (~(((((vEBT_VEBT_high @ (((if_nat @ (((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = ma)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((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)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))) @ ma)) @ na)))))))))),introduced(assumption,[])).
0.88/1.15	thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h17,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(h19,assumption,(mi = ma),introduced(assumption,[])).
0.88/1.15	thf(h20,assumption,(![X1:nat]:(((ord_less_nat @ X1) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)) => (~(((![X2:nat]:((~((((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ X2) @ na)) => (~((((vEBT_VEBT_high @ X2) @ na) = X1)))))) => (~((((ord_less_nat @ mi) @ X2) => (~(((ord_less_eq_nat @ X2) @ ma)))))))) => (~(((((vEBT_VEBT_high @ ma) @ na) = X1) => ((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ ma) @ na)))))))))),introduced(assumption,[])).
0.88/1.15	thf(3,plain,$false,inference(tab_conflict,[status(thm),assumptions([h19,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(h21,assumption,((some_nat @ eigen__2) = (vEBT_vebt_mint @ summary)),introduced(assumption,[])).
0.88/1.15	thf(h22,assumption,(sP2 => (((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,[])).
0.88/1.15	thf(h23,assumption,((~(sP2)) => (((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = xa)),introduced(assumption,[])).
0.88/1.15	thf(h24,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,[])).
0.88/1.15	thf(4,plain,$false,inference(tab_conflict,[status(thm),assumptions([h3,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(h25,assumption,sP2,introduced(assumption,[])).
0.88/1.15	thf(h26,assumption,(((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = xa),introduced(assumption,[])).
0.88/1.15	thf(h27,assumption,((some_nat @ eigen__10) = (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ summin))),introduced(assumption,[])).
0.88/1.15	thf(h28,assumption,(![X1:vEBT_VEBT]:(((member_VEBT_VEBT @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))),introduced(assumption,[])).
0.88/1.15	thf(5,plain,$false,inference(tab_conflict,[status(thm),assumptions([h2,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(h29,assumption,((ord_less_nat @ ma) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)),introduced(assumption,[])).
0.88/1.15	thf(h30,assumption,((ord_less_eq_nat @ mi) @ ma),introduced(assumption,[])).
0.88/1.15	thf(h31,assumption,(((~((((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)) => (~(((((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) = ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))))))),introduced(assumption,[])).
0.88/1.15	thf(h32,assumption,(![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(assumption,[])).
0.88/1.15	thf(6,plain,$false,inference(tab_conflict,[status(thm),assumptions([h31,h29,h30,h28,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(h33,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__11),introduced(assumption,[])).
0.88/1.15	thf(h34,assumption,((ord_less_nat @ ((vEBT_VEBT_low @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na)),introduced(assumption,[])).
0.88/1.15	thf(h35,assumption,((ord_less_nat @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)),introduced(assumption,[])).
0.88/1.15	thf(7,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h33,h32,h29,h30,h28,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(fact_17_hlbound,axiom,(~((((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)) => (~(((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)))))))).
0.88/1.15	thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h33,h32,h29,h30,h28,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,7,h34,h35])).
0.88/1.15	thf(fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,axiom,(~((![X1:nat]:(~(((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ X1))))))).
0.88/1.15	thf(9,plain,$false,inference(tab_negall,[status(thm),assumptions([h32,h29,h30,h28,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h33]),tab_negall(eigenvar,eigen__11)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,8,h33])).
0.88/1.15	thf(fact_26__C112_C,axiom,((~((((~((((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)) => (~(((((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) = ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))))))))) => (![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)))))))).
0.88/1.15	thf(10,plain,$false,inference(tab_imp,[status(thm),assumptions([h29,h30,h28,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h31]),tab_imp(discharge,[h32])],[fact_26__C112_C,6,9,h31,h32])).
0.88/1.15	thf(fact_103__C6_C,axiom,(~((((ord_less_nat @ ma) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)) => (~(((ord_less_eq_nat @ mi) @ ma))))))).
0.88/1.15	thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h28,h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h29,h30])],[fact_103__C6_C,10,h29,h30])).
0.88/1.15	thf(fact_40__C5_C,axiom,((mi = ma) => (![X1:vEBT_VEBT]:(((member_VEBT_VEBT @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))))).
0.88/1.15	thf(12,plain,$false,inference(tab_imp,[status(thm),assumptions([h27,h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h28])],[fact_40__C5_C,5,11,h2,h28])).
0.88/1.15	thf(fact_532__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062lx_O_ASome_Alx_A_061_Avebt__mint_A_ItreeList_A_B_Asummin_J_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,(~((![X1:nat]:(~(((some_nat @ X1) = (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ summin))))))))).
0.88/1.15	thf(13,plain,$false,inference(tab_negall,[status(thm),assumptions([h25,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h27]),tab_negall(eigenvar,eigen__10)],[fact_532__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_062,12,h27])).
0.88/1.15	thf(h36,assumption,((some_nat @ eigen__3) = (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ summin))),introduced(assumption,[])).
0.88/1.15	thf(h37,assumption,(~(((~((((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(assumption,[])).
0.88/1.15	thf(h38,assumption,(~(((((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) = ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na))))))))),introduced(assumption,[])).
0.88/1.15	thf(h39,assumption,(~((((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = ma))),introduced(assumption,[])).
0.88/1.15	thf(h40,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__9),introduced(assumption,[])).
0.88/1.15	thf(14,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h40,h39,h39,h37,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(15,plain,$false,inference(tab_negimp,[status(thm),assumptions([h40,h39,h39,h37,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,14,h34,h35])).
0.88/1.15	thf(16,plain,$false,inference(tab_negall,[status(thm),assumptions([h39,h39,h37,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h40]),tab_negall(eigenvar,eigen__9)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,15,h40])).
0.88/1.15	thf(17,plain,$false,inference(tab_negimp,[status(thm),assumptions([h37,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h39,h39])],[h37,16,h39,h39])).
0.88/1.15	thf(h41,assumption,(((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = ma),introduced(assumption,[])).
0.88/1.15	thf(h42,assumption,(~((((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))))),introduced(assumption,[])).
0.88/1.15	thf(h43,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__8),introduced(assumption,[])).
0.88/1.15	thf(18,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h43,h41,h42,h38,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(19,plain,$false,inference(tab_negimp,[status(thm),assumptions([h43,h41,h42,h38,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,18,h34,h35])).
0.88/1.15	thf(20,plain,$false,inference(tab_negall,[status(thm),assumptions([h41,h42,h38,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h43]),tab_negall(eigenvar,eigen__8)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,19,h43])).
0.88/1.15	thf(21,plain,$false,inference(tab_negimp,[status(thm),assumptions([h38,h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h41,h42])],[h38,20,h41,h42])).
0.88/1.15	thf(22,plain,$false,inference(tab_imp,[status(thm),assumptions([h31,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h37]),tab_imp(discharge,[h38])],[h31,17,21,h37,h38])).
0.88/1.15	thf(h44,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__7),introduced(assumption,[])).
0.88/1.15	thf(23,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h44,h32,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(24,plain,$false,inference(tab_negimp,[status(thm),assumptions([h44,h32,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,23,h34,h35])).
0.88/1.15	thf(25,plain,$false,inference(tab_negall,[status(thm),assumptions([h32,h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h44]),tab_negall(eigenvar,eigen__7)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,24,h44])).
0.88/1.15	thf(26,plain,$false,inference(tab_imp,[status(thm),assumptions([h29,h30,h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h31]),tab_imp(discharge,[h32])],[fact_26__C112_C,22,25,h31,h32])).
0.88/1.15	thf(27,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h29,h30])],[fact_103__C6_C,26,h29,h30])).
0.88/1.15	thf(h45,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__6),introduced(assumption,[])).
0.88/1.15	thf(28,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h45,h39,h39,h37,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h45,h39,h39,h37,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,28,h34,h35])).
0.88/1.15	thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h39,h39,h37,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h45]),tab_negall(eigenvar,eigen__6)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,29,h45])).
0.88/1.15	thf(31,plain,$false,inference(tab_negimp,[status(thm),assumptions([h37,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h39,h39])],[h37,30,h39,h39])).
0.88/1.15	thf(h46,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__5),introduced(assumption,[])).
0.88/1.15	thf(32,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h46,h41,h42,h38,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(33,plain,$false,inference(tab_negimp,[status(thm),assumptions([h46,h41,h42,h38,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,32,h34,h35])).
0.88/1.15	thf(34,plain,$false,inference(tab_negall,[status(thm),assumptions([h41,h42,h38,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h46]),tab_negall(eigenvar,eigen__5)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,33,h46])).
0.88/1.15	thf(35,plain,$false,inference(tab_negimp,[status(thm),assumptions([h38,h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h41,h42])],[h38,34,h41,h42])).
0.88/1.15	thf(36,plain,$false,inference(tab_imp,[status(thm),assumptions([h31,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h37]),tab_imp(discharge,[h38])],[h31,31,35,h37,h38])).
0.88/1.15	thf(h47,assumption,((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ summin)) @ eigen__4),introduced(assumption,[])).
0.88/1.15	thf(37,plain,$false,inference(tab_conflict,[status(thm),assumptions([h34,h35,h47,h32,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0])],[h15,h0])).
0.88/1.15	thf(38,plain,$false,inference(tab_negimp,[status(thm),assumptions([h47,h32,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h34,h35])],[fact_17_hlbound,37,h34,h35])).
0.88/1.15	thf(39,plain,$false,inference(tab_negall,[status(thm),assumptions([h32,h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h47]),tab_negall(eigenvar,eigen__4)],[fact_10__092_060open_062_092_060exists_062z_O_Aboth__member__options_A_ItreeList_A_B_Asummin_J_Az_092_060close_062,38,h47])).
0.88/1.15	thf(40,plain,$false,inference(tab_imp,[status(thm),assumptions([h29,h30,h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h31]),tab_imp(discharge,[h32])],[fact_26__C112_C,36,39,h31,h32])).
0.88/1.15	thf(41,plain,$false,inference(tab_negimp,[status(thm),assumptions([h28,h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h29,h30])],[fact_103__C6_C,40,h29,h30])).
0.88/1.15	thf(42,plain,$false,inference(tab_imp,[status(thm),assumptions([h36,h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h2]),tab_imp(discharge,[h28])],[fact_40__C5_C,27,41,h2,h28])).
0.88/1.15	thf(43,plain,$false,inference(tab_negall,[status(thm),assumptions([h26,h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h36]),tab_negall(eigenvar,eigen__3)],[fact_532__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_062,42,h36])).
0.88/1.15	thf(44,plain,$false,inference(tab_imp,[status(thm),assumptions([h24,h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h25]),tab_imp(discharge,[h26])],[h23,13,43,h25,h26])).
0.88/1.15	thf(45,plain,$false,inference(tab_imp,[status(thm),assumptions([h22,h23,h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h24])],[h22,4,44,h3,h24])).
0.88/1.15	thf(fact_456__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,(~(((sP2 => (((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)))))))) => (~(((~(sP2)) => (((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = xa)))))))).
0.88/1.15	thf(46,plain,$false,inference(tab_negimp,[status(thm),assumptions([h21,h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h22,h23])],[fact_456__092_060open_062summin_A_K_A2_A_094_An_A_L_Alx_A_061_A_Iif_Ax_A_061_Ami_Athen_Athe_A_Ivebt__mint_Asummary_J_A_K_A2_A_094_A_Ideg_Adiv_A2_J_A_L_Athe_A_Ivebt__mint_A_ItreeList_A_B_Athe_A_Ivebt__mint_Asummary_J_J_J_Aelse_Ax_J_092_060close_062,45,h22,h23])).
0.88/1.15	thf(fact_523__092_060open_062_092_060And_062thesis_O_A_I_092_060And_062summin_O_ASome_Asummin_A_061_Avebt__mint_Asummary_A_092_060Longrightarrow_062_Athesis_J_A_092_060Longrightarrow_062_Athesis_092_060close_062,axiom,(~((![X1:nat]:(~(((some_nat @ X1) = (vEBT_vebt_mint @ summary)))))))).
0.88/1.15	thf(47,plain,$false,inference(tab_negall,[status(thm),assumptions([h20,h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h21]),tab_negall(eigenvar,eigen__2)],[fact_523__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_062,46,h21])).
0.88/1.15	thf(fact_33__C7_C,axiom,((~((mi = ma))) => (![X1:nat]:(((ord_less_nat @ X1) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)) => (~(((![X2:nat]:((~((((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ X2) @ na)) => (~((((vEBT_VEBT_high @ X2) @ na) = X1)))))) => (~((((ord_less_nat @ mi) @ X2) => (~(((ord_less_eq_nat @ X2) @ ma)))))))) => (~(((((vEBT_VEBT_high @ ma) @ na) = X1) => ((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ treeList) @ X1)) @ ((vEBT_VEBT_low @ ma) @ na)))))))))))).
0.88/1.15	thf(48,plain,$false,inference(tab_imp,[status(thm),assumptions([h18,h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h19]),tab_imp(discharge,[h20])],[fact_33__C7_C,3,47,h19,h20])).
0.88/1.15	thf(fact_15__C115_C,axiom,((((((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) = ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((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)) => (~(((![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)) @ ((vEBT_VEBT_low @ X2) @ na)) => (~((((vEBT_VEBT_high @ X2) @ na) = X1)))))) => (~((((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)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))) @ ma))))))))) => (~(((((vEBT_VEBT_high @ (((if_nat @ (((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx) = ma)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((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)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))) @ ma)) @ na)))))))))))).
0.88/1.15	thf(49,plain,$false,inference(tab_imp,[status(thm),assumptions([h15,h16,h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_imp(discharge,[h17]),tab_imp(discharge,[h18])],[fact_15__C115_C,2,48,h17,h18])).
0.88/1.15	thf(fact_21__C114_C,axiom,(~((sP1 => (~(((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)) @ ((plus_plus_nat @ ((times_times_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))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (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)))) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ summin) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na))) @ lx)) @ na)))))) @ ma)))))))).
0.88/1.15	thf(50,plain,$false,inference(tab_negimp,[status(thm),assumptions([h13,h14,h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h15,h16])],[fact_21__C114_C,49,h15,h16])).
0.88/1.15	thf(51,plain,$false,inference(tab_negimp,[status(thm),assumptions([h11,h12,h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h13,h14])],[h11,50,h13,h14])).
0.88/1.15	thf(52,plain,$false,inference(tab_negimp,[status(thm),assumptions([h9,h10,h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h11,h12])],[h9,51,h11,h12])).
0.88/1.15	thf(53,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h6,h7,h5,h4,h1,h2,h0]),tab_negimp(discharge,[h9,h10])],[h8,52,h9,h10])).
0.88/1.15	thf(fact_7146_cos__is__zero,axiom,(~((![X1:real]:((~(((~(((![X2:real]:((~(((~((((ord_less_eq_real @ X2) @ (numeral_numeral_real @ (bit0 @ one))) => (~(((cos_real @ X2) = zero_zero_real)))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X2)))))) => (X2 = X1))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))))).
0.88/1.15	thf(54,plain,$false,inference(tab_negall,[status(thm),assumptions([h6,h7,h5,h4,h1,h2,h0]),tab_negall(discharge,[h8]),tab_negall(eigenvar,eigen__1)],[fact_7146_cos__is__zero,53,h8])).
0.88/1.15	thf(fact_191_inrg,axiom,(~((((ord_less_eq_nat @ mi) @ xa) => (~(((ord_less_eq_nat @ xa) @ ma))))))).
0.88/1.15	thf(55,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h4,h1,h2,h0]),tab_negimp(discharge,[h6,h7])],[fact_191_inrg,54,h6,h7])).
0.88/1.15	thf(fact_18_notemp,axiom,(~((![X1:nat]:(~(((vEBT_V8194947554948674370ptions @ ((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))))))).
0.88/1.15	thf(56,plain,$false,inference(tab_negall,[status(thm),assumptions([h4,h1,h2,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[fact_18_notemp,55,h5])).
0.88/1.15	thf(fact_196__092_060open_062x_A_092_060noteq_062_Ami_A_092_060or_062_Ax_A_092_060noteq_062_Ama_092_060close_062,axiom,(sP2 => (~((xa = ma))))).
0.88/1.15	thf(57,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_196__092_060open_062x_A_092_060noteq_062_Ami_A_092_060or_062_Ax_A_092_060noteq_062_Ama_092_060close_062,1,56,h3,h4])).
0.88/1.15	thf(fact_168__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,axiom,(~((((ord_less_nat @ xa) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)) => (mi = ma))))).
0.88/1.15	thf(58,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[fact_168__092_060open_062mi_A_092_060noteq_062_Ama_A_092_060and_062_Ax_A_060_A2_A_094_Adeg_092_060close_062,57,h1,h2])).
0.88/1.15	thf(0,theorem,sP1,inference(contra,[status(thm),contra(discharge,[h0])],[58,h0])).
0.88/1.15	% SZS output end Proof
0.88/1.15	EOF