TSTP Solution File: ITP234^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP234^1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n017.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 : 600s
% DateTime : Sun Jul 17 00:29:52 EDT 2022
% Result : Theorem 6.05s 6.24s
% Output : Proof 6.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP234^1 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.12 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 13:19:13 EDT 2022
% 0.13/0.34 % CPUTime :
% 6.05/6.24 % SZS status Theorem
% 6.05/6.24 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 6.05/6.24 % Inferences: 60
% 6.05/6.24 % SZS output start Proof
% 6.05/6.24 thf(ty_vEBT_VEBT, type, vEBT_VEBT : $tType).
% 6.05/6.24 thf(ty_list_VEBT_VEBT, type, list_VEBT_VEBT : $tType).
% 6.05/6.24 thf(ty_nat, type, nat : $tType).
% 6.05/6.24 thf(ty_set_VEBT_VEBT, type, set_VEBT_VEBT : $tType).
% 6.05/6.24 thf(ty_num, type, num : $tType).
% 6.05/6.24 thf(ty_summary, type, summary : vEBT_VEBT).
% 6.05/6.24 thf(ty_nth_VEBT_VEBT, type, nth_VEBT_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT)).
% 6.05/6.24 thf(ty_vEBT_VEBT_high, type, vEBT_VEBT_high : (nat>nat>nat)).
% 6.05/6.24 thf(ty_vEBT_vebt_insert, type, vEBT_vebt_insert : (vEBT_VEBT>nat>vEBT_VEBT)).
% 6.05/6.24 thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)).
% 6.05/6.24 thf(ty_treeList, type, treeList : list_VEBT_VEBT).
% 6.05/6.24 thf(ty_bit0, type, bit0 : (num>num)).
% 6.05/6.24 thf(ty_deg, type, deg : nat).
% 6.05/6.24 thf(ty_member_VEBT_VEBT, type, member_VEBT_VEBT : (vEBT_VEBT>set_VEBT_VEBT>$o)).
% 6.05/6.24 thf(ty_mi, type, mi : nat).
% 6.05/6.24 thf(ty_na, type, na : nat).
% 6.05/6.24 thf(ty_ord_less_nat, type, ord_less_nat : (nat>nat>$o)).
% 6.05/6.24 thf(ty_set_VEBT_VEBT2, type, set_VEBT_VEBT2 : (list_VEBT_VEBT>set_VEBT_VEBT)).
% 6.05/6.24 thf(ty_vEBT_VEBT_low, type, vEBT_VEBT_low : (nat>nat>nat)).
% 6.05/6.24 thf(ty_one, type, one : num).
% 6.05/6.24 thf(ty_vEBT_V8194947554948674370ptions, type, vEBT_V8194947554948674370ptions : (vEBT_VEBT>nat>$o)).
% 6.05/6.24 thf(ty_power_power_nat, type, power_power_nat : (nat>nat>nat)).
% 6.05/6.24 thf(ty_ord_less_eq_nat, type, ord_less_eq_nat : (nat>nat>$o)).
% 6.05/6.24 thf(ty_vEBT_VEBT_minNull, type, vEBT_VEBT_minNull : (vEBT_VEBT>$o)).
% 6.05/6.24 thf(ty_ma, type, ma : nat).
% 6.05/6.24 thf(ty_m, type, m : nat).
% 6.05/6.24 thf(sP1,plain,sP1 <=> (mi = ma),introduced(definition,[new_symbols(definition,[sP1])])).
% 6.05/6.24 thf(conj_0,conjecture,(((nth_VEBT_VEBT @ (((list_u1324408373059187874T_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na)) @ ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))) @ ((vEBT_VEBT_low @ mi) @ na)))) @ i) = ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))) @ ((vEBT_VEBT_low @ mi) @ na)))).
% 6.05/6.24 thf(h0,negated_conjecture,(~((((nth_VEBT_VEBT @ (((list_u1324408373059187874T_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na)) @ ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))) @ ((vEBT_VEBT_low @ mi) @ na)))) @ i) = ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))) @ ((vEBT_VEBT_low @ mi) @ na))))),inference(assume_negation,[status(cth)],[conj_0])).
% 6.05/6.24 thf(h1,assumption,((ord_less_nat @ ((vEBT_VEBT_high @ mi) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)),introduced(assumption,[])).
% 6.05/6.24 thf(h2,assumption,((ord_less_nat @ ((vEBT_VEBT_low @ mi) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na)),introduced(assumption,[])).
% 6.05/6.24 thf(h3,assumption,((ord_less_eq_nat @ mi) @ ma),introduced(assumption,[])).
% 6.05/6.24 thf(h4,assumption,((ord_less_nat @ ma) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)),introduced(assumption,[])).
% 6.05/6.24 thf(h5,assumption,sP1,introduced(assumption,[])).
% 6.05/6.24 thf(h6,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,[])).
% 6.05/6.24 thf(h7,assumption,(~(sP1)),introduced(assumption,[])).
% 6.05/6.24 thf(h8,assumption,(![X1:vEBT_VEBT]:(((member_VEBT_VEBT @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))),introduced(assumption,[])).
% 6.05/6.24 thf(h9,assumption,(vEBT_VEBT_minNull @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))),introduced(assumption,[])).
% 6.05/6.24 thf(h10,assumption,(summary = ((vEBT_vebt_insert @ summary) @ ((vEBT_VEBT_high @ mi) @ na))),introduced(assumption,[])).
% 6.05/6.24 thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h7,h5,h3,h4,h1,h2,h0])],[h5,h7])).
% 6.05/6.24 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h10,h7,h5,h3,h4,h1,h2,h0])],[h5,h7])).
% 6.05/6.24 thf(fact_15_nsprop,axiom,((~((vEBT_VEBT_minNull @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))))) => (summary = ((vEBT_vebt_insert @ summary) @ ((vEBT_VEBT_high @ mi) @ na))))).
% 6.05/6.24 thf(3,plain,$false,inference(tab_imp,[status(thm),assumptions([h7,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_15_nsprop,1,2,h9,h10])).
% 6.05/6.24 thf(ax116, axiom, (~(p93)|p96), file('<stdin>', ax116)).
% 6.05/6.24 thf(ax115, axiom, (~(p96)|p97), file('<stdin>', ax115)).
% 6.05/6.24 thf(ax120, axiom, p93, file('<stdin>', ax120)).
% 6.05/6.24 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fmi @ fna)), file('<stdin>', pax1)).
% 6.05/6.24 thf(ax114, axiom, (~(p97)|~(p92)|p91), file('<stdin>', ax114)).
% 6.05/6.24 thf(ax121, axiom, ~(p91), file('<stdin>', ax121)).
% 6.05/6.24 thf(pax43, axiom, (p43=>(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax43)).
% 6.05/6.24 thf(nax92, axiom, (p92<=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), file('<stdin>', nax92)).
% 6.05/6.24 thf(ax210, axiom, p1, file('<stdin>', ax210)).
% 6.05/6.24 thf(pax23, axiom, (p23=>![X52:nat, X45:list_VEBT_VEBT, X53:vEBT_VEBT]:(ford_less_nat @ X52 @ (fsize_s6755466524823107622T_VEBT @ X45)=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X45 @ X52 @ X53) @ X52)=(X53))), file('<stdin>', pax23)).
% 6.05/6.24 thf(pax44, axiom, (p44=>ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax44)).
% 6.05/6.24 thf(ax169, axiom, p43, file('<stdin>', ax169)).
% 6.05/6.24 thf(ax188, axiom, p23, file('<stdin>', ax188)).
% 6.05/6.24 thf(ax168, axiom, p44, file('<stdin>', ax168)).
% 6.05/6.24 thf(c_0_14, plain, (~p93|p96), inference(fof_simplification,[status(thm)],[ax116])).
% 6.05/6.24 thf(c_0_15, plain, (~p96|p97), inference(fof_simplification,[status(thm)],[ax115])).
% 6.05/6.24 thf(c_0_16, plain, (p96|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 6.05/6.24 thf(c_0_17, plain, p93, inference(split_conjunct,[status(thm)],[ax120])).
% 6.05/6.24 thf(c_0_18, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fmi @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 6.05/6.24 thf(c_0_19, plain, (~p97|~p92|p91), inference(fof_simplification,[status(thm)],[ax114])).
% 6.05/6.24 thf(c_0_20, plain, (p97|~p96), inference(split_conjunct,[status(thm)],[c_0_15])).
% 6.05/6.24 thf(c_0_21, plain, p96, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 6.05/6.24 thf(c_0_22, plain, ~p91, inference(fof_simplification,[status(thm)],[ax121])).
% 6.05/6.24 thf(c_0_23, plain, (~p43|(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax43])).
% 6.05/6.24 thf(c_0_24, plain, ((fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)|p92), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax92])])).
% 6.05/6.24 thf(c_0_25, plain, ((fi)=(fvEBT_VEBT_high @ fmi @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 6.05/6.24 thf(c_0_26, plain, p1, inference(split_conjunct,[status(thm)],[ax210])).
% 6.05/6.24 thf(c_0_27, plain, (p91|~p97|~p92), inference(split_conjunct,[status(thm)],[c_0_19])).
% 6.05/6.24 thf(c_0_28, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 6.05/6.24 thf(c_0_29, plain, ~p91, inference(split_conjunct,[status(thm)],[c_0_22])).
% 6.05/6.24 thf(c_0_30, plain, ![X303:nat, X304:list_VEBT_VEBT, X305:vEBT_VEBT]:(~p23|(~ford_less_nat @ X303 @ (fsize_s6755466524823107622T_VEBT @ X304)|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X304 @ X303 @ X305) @ X303)=(X305))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 6.05/6.24 thf(c_0_31, plain, (~p44|ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax44])).
% 6.05/6.24 thf(c_0_32, plain, ((fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p43), inference(split_conjunct,[status(thm)],[c_0_23])).
% 6.05/6.24 thf(c_0_33, plain, p43, inference(split_conjunct,[status(thm)],[ax169])).
% 6.05/6.24 thf(c_0_34, plain, (p92|(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 6.05/6.24 thf(c_0_35, plain, (fvEBT_VEBT_high @ fmi @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 6.05/6.24 thf(c_0_36, plain, ~p92, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), c_0_29])).
% 6.05/6.24 thf(c_0_37, plain, ![X5:nat, X3:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X5 @ X3) @ X5)=(X3)|~p23|~ford_less_nat @ X5 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 6.05/6.24 thf(c_0_38, plain, p23, inference(split_conjunct,[status(thm)],[ax188])).
% 6.05/6.24 thf(c_0_39, plain, (ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p44), inference(split_conjunct,[status(thm)],[c_0_31])).
% 6.05/6.24 thf(c_0_40, plain, (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)=(fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 6.05/6.24 thf(c_0_41, plain, p44, inference(split_conjunct,[status(thm)],[ax168])).
% 6.05/6.24 thf(c_0_42, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_35]), c_0_35]), c_0_36])).
% 6.05/6.24 thf(c_0_43, plain, ![X5:nat, X3:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X5 @ X3) @ X5)=(X3)|~ford_less_nat @ X5 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 6.05/6.24 thf(c_0_44, plain, ford_less_nat @ fi @ (fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
% 6.05/6.24 thf(c_0_45, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), ['proof']).
% 6.05/6.24 thf(4,plain,$false,inference(eprover,[status(thm),assumptions([h9,h8,h5,h3,h4,h1,h2,h0])],[])).
% 6.05/6.24 thf(ax126, axiom, (~(p93)|p96), file('<stdin>', ax126)).
% 6.05/6.24 thf(ax125, axiom, (~(p96)|p97), file('<stdin>', ax125)).
% 6.05/6.24 thf(ax130, axiom, p93, file('<stdin>', ax130)).
% 6.05/6.24 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fmi @ fna)), file('<stdin>', pax1)).
% 6.05/6.24 thf(ax124, axiom, (~(p97)|~(p92)|p91), file('<stdin>', ax124)).
% 6.05/6.24 thf(ax131, axiom, ~(p91), file('<stdin>', ax131)).
% 6.05/6.24 thf(pax43, axiom, (p43=>(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax43)).
% 6.05/6.24 thf(nax92, axiom, (p92<=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), file('<stdin>', nax92)).
% 6.05/6.24 thf(ax221, axiom, p1, file('<stdin>', ax221)).
% 6.05/6.24 thf(pax23, axiom, (p23=>![X52:nat, X45:list_VEBT_VEBT, X53:vEBT_VEBT]:(ford_less_nat @ X52 @ (fsize_s6755466524823107622T_VEBT @ X45)=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X45 @ X52 @ X53) @ X52)=(X53))), file('<stdin>', pax23)).
% 6.05/6.24 thf(pax44, axiom, (p44=>ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax44)).
% 6.05/6.24 thf(ax179, axiom, p43, file('<stdin>', ax179)).
% 6.05/6.24 thf(ax198, axiom, p23, file('<stdin>', ax198)).
% 6.05/6.24 thf(ax178, axiom, p44, file('<stdin>', ax178)).
% 6.05/6.24 thf(c_0_14, plain, (~p93|p96), inference(fof_simplification,[status(thm)],[ax126])).
% 6.05/6.24 thf(c_0_15, plain, (~p96|p97), inference(fof_simplification,[status(thm)],[ax125])).
% 6.05/6.24 thf(c_0_16, plain, (p96|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 6.05/6.24 thf(c_0_17, plain, p93, inference(split_conjunct,[status(thm)],[ax130])).
% 6.05/6.24 thf(c_0_18, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fmi @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 6.05/6.24 thf(c_0_19, plain, (~p97|~p92|p91), inference(fof_simplification,[status(thm)],[ax124])).
% 6.05/6.24 thf(c_0_20, plain, (p97|~p96), inference(split_conjunct,[status(thm)],[c_0_15])).
% 6.05/6.24 thf(c_0_21, plain, p96, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 6.05/6.24 thf(c_0_22, plain, ~p91, inference(fof_simplification,[status(thm)],[ax131])).
% 6.05/6.24 thf(c_0_23, plain, (~p43|(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax43])).
% 6.05/6.24 thf(c_0_24, plain, ((fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)|p92), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax92])])).
% 6.05/6.24 thf(c_0_25, plain, ((fi)=(fvEBT_VEBT_high @ fmi @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 6.05/6.24 thf(c_0_26, plain, p1, inference(split_conjunct,[status(thm)],[ax221])).
% 6.05/6.24 thf(c_0_27, plain, (p91|~p97|~p92), inference(split_conjunct,[status(thm)],[c_0_19])).
% 6.05/6.24 thf(c_0_28, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 6.05/6.24 thf(c_0_29, plain, ~p91, inference(split_conjunct,[status(thm)],[c_0_22])).
% 6.05/6.24 thf(c_0_30, plain, ![X343:nat, X344:list_VEBT_VEBT, X345:vEBT_VEBT]:(~p23|(~ford_less_nat @ X343 @ (fsize_s6755466524823107622T_VEBT @ X344)|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X344 @ X343 @ X345) @ X343)=(X345))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 6.05/6.24 thf(c_0_31, plain, (~p44|ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax44])).
% 6.05/6.24 thf(c_0_32, plain, ((fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p43), inference(split_conjunct,[status(thm)],[c_0_23])).
% 6.05/6.24 thf(c_0_33, plain, p43, inference(split_conjunct,[status(thm)],[ax179])).
% 6.05/6.24 thf(c_0_34, plain, (p92|(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 6.05/6.24 thf(c_0_35, plain, (fvEBT_VEBT_high @ fmi @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 6.05/6.24 thf(c_0_36, plain, ~p92, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), c_0_29])).
% 6.05/6.24 thf(c_0_37, plain, ![X5:nat, X3:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X5 @ X3) @ X5)=(X3)|~p23|~ford_less_nat @ X5 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 6.05/6.24 thf(c_0_38, plain, p23, inference(split_conjunct,[status(thm)],[ax198])).
% 6.05/6.24 thf(c_0_39, plain, (ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p44), inference(split_conjunct,[status(thm)],[c_0_31])).
% 6.05/6.24 thf(c_0_40, plain, (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)=(fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 6.05/6.24 thf(c_0_41, plain, p44, inference(split_conjunct,[status(thm)],[ax178])).
% 6.05/6.24 thf(c_0_42, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_35]), c_0_35]), c_0_36])).
% 6.05/6.24 thf(c_0_43, plain, ![X5:nat, X3:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X5 @ X3) @ X5)=(X3)|~ford_less_nat @ X5 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 6.05/6.24 thf(c_0_44, plain, ford_less_nat @ fi @ (fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
% 6.05/6.24 thf(c_0_45, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), ['proof']).
% 6.05/6.24 thf(5,plain,$false,inference(eprover,[status(thm),assumptions([h10,h8,h5,h3,h4,h1,h2,h0])],[])).
% 6.05/6.24 thf(6,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_15_nsprop,4,5,h9,h10])).
% 6.05/6.24 thf(fact_29__C5_C,axiom,(sP1 => (![X1:vEBT_VEBT]:(((member_VEBT_VEBT @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))))).
% 6.05/6.24 thf(7,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_29__C5_C,3,6,h7,h8])).
% 6.05/6.24 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fmi @ fna)), file('<stdin>', pax1)).
% 6.05/6.24 thf(pax43, axiom, (p43=>(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax43)).
% 6.05/6.24 thf(nax91, axiom, (p91<=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))), file('<stdin>', nax91)).
% 6.05/6.24 thf(ax98, axiom, p1, file('<stdin>', ax98)).
% 6.05/6.24 thf(ax9, axiom, ~(p91), file('<stdin>', ax9)).
% 6.05/6.24 thf(pax23, axiom, (p23=>![X57:nat, X50:list_VEBT_VEBT, X58:vEBT_VEBT]:(ford_less_nat @ X57 @ (fsize_s6755466524823107622T_VEBT @ X50)=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X50 @ X57 @ X58) @ X57)=(X58))), file('<stdin>', pax23)).
% 6.05/6.24 thf(pax44, axiom, (p44=>ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax44)).
% 6.05/6.24 thf(ax57, axiom, p43, file('<stdin>', ax57)).
% 6.05/6.24 thf(ax76, axiom, p23, file('<stdin>', ax76)).
% 6.05/6.24 thf(ax56, axiom, p44, file('<stdin>', ax56)).
% 6.05/6.24 thf(c_0_10, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fmi @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 6.05/6.24 thf(c_0_11, plain, (~p43|(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax43])).
% 6.05/6.24 thf(c_0_12, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))|p91), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax91])])).
% 6.05/6.24 thf(c_0_13, plain, ((fi)=(fvEBT_VEBT_high @ fmi @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_10])).
% 6.05/6.24 thf(c_0_14, plain, p1, inference(split_conjunct,[status(thm)],[ax98])).
% 6.05/6.24 thf(c_0_15, plain, ~p91, inference(fof_simplification,[status(thm)],[ax9])).
% 6.05/6.24 thf(c_0_16, plain, ![X378:nat, X379:list_VEBT_VEBT, X380:vEBT_VEBT]:(~p23|(~ford_less_nat @ X378 @ (fsize_s6755466524823107622T_VEBT @ X379)|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X379 @ X378 @ X380) @ X378)=(X380))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 6.05/6.24 thf(c_0_17, plain, (~p44|ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax44])).
% 6.05/6.24 thf(c_0_18, plain, ((fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p43), inference(split_conjunct,[status(thm)],[c_0_11])).
% 6.05/6.24 thf(c_0_19, plain, p43, inference(split_conjunct,[status(thm)],[ax57])).
% 6.05/6.24 thf(c_0_20, plain, (p91|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))), inference(split_conjunct,[status(thm)],[c_0_12])).
% 6.05/6.24 thf(c_0_21, plain, (fvEBT_VEBT_high @ fmi @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 6.05/6.24 thf(c_0_22, plain, ~p91, inference(split_conjunct,[status(thm)],[c_0_15])).
% 6.05/6.24 thf(c_0_23, plain, ![X3:nat, X2:vEBT_VEBT, X1:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X1 @ X3 @ X2) @ X3)=(X2)|~p23|~ford_less_nat @ X3 @ (fsize_s6755466524823107622T_VEBT @ X1)), inference(split_conjunct,[status(thm)],[c_0_16])).
% 6.05/6.24 thf(c_0_24, plain, p23, inference(split_conjunct,[status(thm)],[ax76])).
% 6.05/6.24 thf(c_0_25, plain, (ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p44), inference(split_conjunct,[status(thm)],[c_0_17])).
% 6.05/6.24 thf(c_0_26, plain, (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)=(fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 6.05/6.24 thf(c_0_27, plain, p44, inference(split_conjunct,[status(thm)],[ax56])).
% 6.05/6.24 thf(c_0_28, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_21]), c_0_21]), c_0_22])).
% 6.05/6.24 thf(c_0_29, plain, ![X3:nat, X2:vEBT_VEBT, X1:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X1 @ X3 @ X2) @ X3)=(X2)|~ford_less_nat @ X3 @ (fsize_s6755466524823107622T_VEBT @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])])).
% 6.05/6.24 thf(c_0_30, plain, ford_less_nat @ fi @ (fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26]), c_0_27])])).
% 6.05/6.24 thf(c_0_31, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])]), ['proof']).
% 6.05/6.24 thf(8,plain,$false,inference(eprover,[status(thm),assumptions([h9,h7,h6,h3,h4,h1,h2,h0])],[])).
% 6.05/6.24 thf(ax140, axiom, (~(p93)|p96), file('<stdin>', ax140)).
% 6.05/6.24 thf(ax139, axiom, (~(p96)|p97), file('<stdin>', ax139)).
% 6.05/6.24 thf(ax144, axiom, p93, file('<stdin>', ax144)).
% 6.05/6.24 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fmi @ fna)), file('<stdin>', pax1)).
% 6.05/6.24 thf(ax138, axiom, (~(p97)|~(p92)|p91), file('<stdin>', ax138)).
% 6.05/6.24 thf(ax145, axiom, ~(p91), file('<stdin>', ax145)).
% 6.05/6.24 thf(pax43, axiom, (p43=>(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax43)).
% 6.05/6.24 thf(nax92, axiom, (p92<=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), file('<stdin>', nax92)).
% 6.05/6.24 thf(ax235, axiom, p1, file('<stdin>', ax235)).
% 6.05/6.24 thf(pax23, axiom, (p23=>![X59:nat, X52:list_VEBT_VEBT, X60:vEBT_VEBT]:(ford_less_nat @ X59 @ (fsize_s6755466524823107622T_VEBT @ X52)=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X52 @ X59 @ X60) @ X59)=(X60))), file('<stdin>', pax23)).
% 6.05/6.24 thf(pax44, axiom, (p44=>ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax44)).
% 6.05/6.24 thf(ax193, axiom, p43, file('<stdin>', ax193)).
% 6.05/6.24 thf(ax212, axiom, p23, file('<stdin>', ax212)).
% 6.05/6.24 thf(ax192, axiom, p44, file('<stdin>', ax192)).
% 6.05/6.24 thf(c_0_14, plain, (~p93|p96), inference(fof_simplification,[status(thm)],[ax140])).
% 6.05/6.24 thf(c_0_15, plain, (~p96|p97), inference(fof_simplification,[status(thm)],[ax139])).
% 6.05/6.24 thf(c_0_16, plain, (p96|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 6.05/6.24 thf(c_0_17, plain, p93, inference(split_conjunct,[status(thm)],[ax144])).
% 6.05/6.24 thf(c_0_18, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fmi @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 6.05/6.24 thf(c_0_19, plain, (~p97|~p92|p91), inference(fof_simplification,[status(thm)],[ax138])).
% 6.05/6.24 thf(c_0_20, plain, (p97|~p96), inference(split_conjunct,[status(thm)],[c_0_15])).
% 6.05/6.24 thf(c_0_21, plain, p96, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 6.05/6.24 thf(c_0_22, plain, ~p91, inference(fof_simplification,[status(thm)],[ax145])).
% 6.05/6.24 thf(c_0_23, plain, (~p43|(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax43])).
% 6.05/6.24 thf(c_0_24, plain, ((fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)|p92), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax92])])).
% 6.05/6.24 thf(c_0_25, plain, ((fi)=(fvEBT_VEBT_high @ fmi @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 6.05/6.24 thf(c_0_26, plain, p1, inference(split_conjunct,[status(thm)],[ax235])).
% 6.05/6.24 thf(c_0_27, plain, (p91|~p97|~p92), inference(split_conjunct,[status(thm)],[c_0_19])).
% 6.05/6.24 thf(c_0_28, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 6.05/6.24 thf(c_0_29, plain, ~p91, inference(split_conjunct,[status(thm)],[c_0_22])).
% 6.05/6.24 thf(c_0_30, plain, ![X420:nat, X421:list_VEBT_VEBT, X422:vEBT_VEBT]:(~p23|(~ford_less_nat @ X420 @ (fsize_s6755466524823107622T_VEBT @ X421)|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X421 @ X420 @ X422) @ X420)=(X422))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 6.05/6.24 thf(c_0_31, plain, (~p44|ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax44])).
% 6.05/6.24 thf(c_0_32, plain, ((fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p43), inference(split_conjunct,[status(thm)],[c_0_23])).
% 6.05/6.24 thf(c_0_33, plain, p43, inference(split_conjunct,[status(thm)],[ax193])).
% 6.05/6.24 thf(c_0_34, plain, (p92|(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 6.05/6.24 thf(c_0_35, plain, (fvEBT_VEBT_high @ fmi @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 6.05/6.24 thf(c_0_36, plain, ~p92, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), c_0_29])).
% 6.05/6.24 thf(c_0_37, plain, ![X5:nat, X4:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X5 @ X4) @ X5)=(X4)|~p23|~ford_less_nat @ X5 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 6.05/6.24 thf(c_0_38, plain, p23, inference(split_conjunct,[status(thm)],[ax212])).
% 6.05/6.24 thf(c_0_39, plain, (ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p44), inference(split_conjunct,[status(thm)],[c_0_31])).
% 6.05/6.24 thf(c_0_40, plain, (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)=(fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 6.05/6.24 thf(c_0_41, plain, p44, inference(split_conjunct,[status(thm)],[ax192])).
% 6.05/6.24 thf(c_0_42, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_35]), c_0_35]), c_0_36])).
% 6.05/6.24 thf(c_0_43, plain, ![X5:nat, X4:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X5 @ X4) @ X5)=(X4)|~ford_less_nat @ X5 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 6.05/6.24 thf(c_0_44, plain, ford_less_nat @ fi @ (fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
% 6.05/6.24 thf(c_0_45, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), ['proof']).
% 6.05/6.24 thf(9,plain,$false,inference(eprover,[status(thm),assumptions([h10,h7,h6,h3,h4,h1,h2,h0])],[])).
% 6.05/6.24 thf(10,plain,$false,inference(tab_imp,[status(thm),assumptions([h7,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_15_nsprop,8,9,h9,h10])).
% 6.05/6.24 thf(ax150, axiom, (~(p93)|p96), file('<stdin>', ax150)).
% 6.05/6.24 thf(ax149, axiom, (~(p96)|p97), file('<stdin>', ax149)).
% 6.05/6.24 thf(ax154, axiom, p93, file('<stdin>', ax154)).
% 6.05/6.24 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fmi @ fna)), file('<stdin>', pax1)).
% 6.05/6.24 thf(ax148, axiom, (~(p97)|~(p92)|p91), file('<stdin>', ax148)).
% 6.05/6.24 thf(ax155, axiom, ~(p91), file('<stdin>', ax155)).
% 6.05/6.24 thf(pax43, axiom, (p43=>(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax43)).
% 6.05/6.24 thf(nax92, axiom, (p92<=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), file('<stdin>', nax92)).
% 6.05/6.24 thf(ax244, axiom, p1, file('<stdin>', ax244)).
% 6.05/6.24 thf(pax23, axiom, (p23=>![X60:nat, X53:list_VEBT_VEBT, X61:vEBT_VEBT]:(ford_less_nat @ X60 @ (fsize_s6755466524823107622T_VEBT @ X53)=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X53 @ X60 @ X61) @ X60)=(X61))), file('<stdin>', pax23)).
% 6.05/6.24 thf(pax44, axiom, (p44=>ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax44)).
% 6.05/6.24 thf(ax203, axiom, p43, file('<stdin>', ax203)).
% 6.05/6.24 thf(ax222, axiom, p23, file('<stdin>', ax222)).
% 6.05/6.24 thf(ax202, axiom, p44, file('<stdin>', ax202)).
% 6.05/6.24 thf(c_0_14, plain, (~p93|p96), inference(fof_simplification,[status(thm)],[ax150])).
% 6.05/6.24 thf(c_0_15, plain, (~p96|p97), inference(fof_simplification,[status(thm)],[ax149])).
% 6.05/6.24 thf(c_0_16, plain, (p96|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 6.05/6.24 thf(c_0_17, plain, p93, inference(split_conjunct,[status(thm)],[ax154])).
% 6.05/6.24 thf(c_0_18, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fmi @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 6.05/6.24 thf(c_0_19, plain, (~p97|~p92|p91), inference(fof_simplification,[status(thm)],[ax148])).
% 6.05/6.24 thf(c_0_20, plain, (p97|~p96), inference(split_conjunct,[status(thm)],[c_0_15])).
% 6.05/6.24 thf(c_0_21, plain, p96, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 6.05/6.24 thf(c_0_22, plain, ~p91, inference(fof_simplification,[status(thm)],[ax155])).
% 6.05/6.24 thf(c_0_23, plain, (~p43|(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax43])).
% 6.05/6.24 thf(c_0_24, plain, ((fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)|p92), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax92])])).
% 6.05/6.24 thf(c_0_25, plain, ((fi)=(fvEBT_VEBT_high @ fmi @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 6.05/6.24 thf(c_0_26, plain, p1, inference(split_conjunct,[status(thm)],[ax244])).
% 6.05/6.24 thf(c_0_27, plain, (p91|~p97|~p92), inference(split_conjunct,[status(thm)],[c_0_19])).
% 6.05/6.24 thf(c_0_28, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 6.05/6.24 thf(c_0_29, plain, ~p91, inference(split_conjunct,[status(thm)],[c_0_22])).
% 6.05/6.24 thf(c_0_30, plain, ![X461:nat, X462:list_VEBT_VEBT, X463:vEBT_VEBT]:(~p23|(~ford_less_nat @ X461 @ (fsize_s6755466524823107622T_VEBT @ X462)|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X462 @ X461 @ X463) @ X461)=(X463))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 6.05/6.24 thf(c_0_31, plain, (~p44|ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax44])).
% 6.05/6.24 thf(c_0_32, plain, ((fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p43), inference(split_conjunct,[status(thm)],[c_0_23])).
% 6.05/6.24 thf(c_0_33, plain, p43, inference(split_conjunct,[status(thm)],[ax203])).
% 6.05/6.24 thf(c_0_34, plain, (p92|(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 6.05/6.24 thf(c_0_35, plain, (fvEBT_VEBT_high @ fmi @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 6.05/6.24 thf(c_0_36, plain, ~p92, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), c_0_29])).
% 6.05/6.24 thf(c_0_37, plain, ![X6:nat, X5:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X6 @ X5) @ X6)=(X5)|~p23|~ford_less_nat @ X6 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 6.05/6.24 thf(c_0_38, plain, p23, inference(split_conjunct,[status(thm)],[ax222])).
% 6.05/6.24 thf(c_0_39, plain, (ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p44), inference(split_conjunct,[status(thm)],[c_0_31])).
% 6.05/6.24 thf(c_0_40, plain, (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)=(fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 6.05/6.24 thf(c_0_41, plain, p44, inference(split_conjunct,[status(thm)],[ax202])).
% 6.05/6.24 thf(c_0_42, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_35]), c_0_35]), c_0_36])).
% 6.05/6.24 thf(c_0_43, plain, ![X6:nat, X5:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X6 @ X5) @ X6)=(X5)|~ford_less_nat @ X6 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 6.05/6.24 thf(c_0_44, plain, ford_less_nat @ fi @ (fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
% 6.05/6.24 thf(c_0_45, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), ['proof']).
% 6.05/6.24 thf(11,plain,$false,inference(eprover,[status(thm),assumptions([h9,h8,h6,h3,h4,h1,h2,h0])],[])).
% 6.05/6.24 thf(ax155, axiom, (~(p93)|p96), file('<stdin>', ax155)).
% 6.05/6.24 thf(ax154, axiom, (~(p96)|p97), file('<stdin>', ax154)).
% 6.05/6.24 thf(ax159, axiom, p93, file('<stdin>', ax159)).
% 6.05/6.24 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fmi @ fna)), file('<stdin>', pax1)).
% 6.05/6.24 thf(ax153, axiom, (~(p97)|~(p92)|p91), file('<stdin>', ax153)).
% 6.05/6.24 thf(ax160, axiom, ~(p91), file('<stdin>', ax160)).
% 6.05/6.24 thf(pax43, axiom, (p43=>(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax43)).
% 6.05/6.24 thf(nax92, axiom, (p92<=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), file('<stdin>', nax92)).
% 6.05/6.24 thf(ax250, axiom, p1, file('<stdin>', ax250)).
% 6.05/6.24 thf(pax23, axiom, (p23=>![X60:nat, X53:list_VEBT_VEBT, X61:vEBT_VEBT]:(ford_less_nat @ X60 @ (fsize_s6755466524823107622T_VEBT @ X53)=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X53 @ X60 @ X61) @ X60)=(X61))), file('<stdin>', pax23)).
% 6.05/6.24 thf(pax44, axiom, (p44=>ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), file('<stdin>', pax44)).
% 6.05/6.24 thf(ax208, axiom, p43, file('<stdin>', ax208)).
% 6.05/6.24 thf(ax227, axiom, p23, file('<stdin>', ax227)).
% 6.05/6.24 thf(ax207, axiom, p44, file('<stdin>', ax207)).
% 6.05/6.24 thf(c_0_14, plain, (~p93|p96), inference(fof_simplification,[status(thm)],[ax155])).
% 6.05/6.24 thf(c_0_15, plain, (~p96|p97), inference(fof_simplification,[status(thm)],[ax154])).
% 6.05/6.24 thf(c_0_16, plain, (p96|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 6.05/6.24 thf(c_0_17, plain, p93, inference(split_conjunct,[status(thm)],[ax159])).
% 6.05/6.24 thf(c_0_18, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fmi @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 6.05/6.24 thf(c_0_19, plain, (~p97|~p92|p91), inference(fof_simplification,[status(thm)],[ax153])).
% 6.05/6.24 thf(c_0_20, plain, (p97|~p96), inference(split_conjunct,[status(thm)],[c_0_15])).
% 6.05/6.24 thf(c_0_21, plain, p96, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 6.05/6.24 thf(c_0_22, plain, ~p91, inference(fof_simplification,[status(thm)],[ax160])).
% 6.05/6.24 thf(c_0_23, plain, (~p43|(fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax43])).
% 6.05/6.24 thf(c_0_24, plain, ((fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)|p92), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax92])])).
% 6.05/6.24 thf(c_0_25, plain, ((fi)=(fvEBT_VEBT_high @ fmi @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_18])).
% 6.05/6.24 thf(c_0_26, plain, p1, inference(split_conjunct,[status(thm)],[ax250])).
% 6.05/6.24 thf(c_0_27, plain, (p91|~p97|~p92), inference(split_conjunct,[status(thm)],[c_0_19])).
% 6.05/6.24 thf(c_0_28, plain, p97, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 6.05/6.24 thf(c_0_29, plain, ~p91, inference(split_conjunct,[status(thm)],[c_0_22])).
% 6.05/6.24 thf(c_0_30, plain, ![X501:nat, X502:list_VEBT_VEBT, X503:vEBT_VEBT]:(~p23|(~ford_less_nat @ X501 @ (fsize_s6755466524823107622T_VEBT @ X502)|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X502 @ X501 @ X503) @ X501)=(X503))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax23])])])).
% 6.05/6.24 thf(c_0_31, plain, (~p44|ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)), inference(fof_nnf,[status(thm)],[pax44])).
% 6.05/6.24 thf(c_0_32, plain, ((fsize_s6755466524823107622T_VEBT @ ftreeList)=(fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p43), inference(split_conjunct,[status(thm)],[c_0_23])).
% 6.05/6.24 thf(c_0_33, plain, p43, inference(split_conjunct,[status(thm)],[ax208])).
% 6.05/6.24 thf(c_0_34, plain, (p92|(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))!=(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fmi @ fna)) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)), inference(split_conjunct,[status(thm)],[c_0_24])).
% 6.05/6.24 thf(c_0_35, plain, (fvEBT_VEBT_high @ fmi @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 6.05/6.24 thf(c_0_36, plain, ~p92, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_28])]), c_0_29])).
% 6.05/6.24 thf(c_0_37, plain, ![X6:nat, X5:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X6 @ X5) @ X6)=(X5)|~p23|~ford_less_nat @ X6 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(split_conjunct,[status(thm)],[c_0_30])).
% 6.05/6.24 thf(c_0_38, plain, p23, inference(split_conjunct,[status(thm)],[ax227])).
% 6.05/6.24 thf(c_0_39, plain, (ford_less_nat @ fi @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)|~p44), inference(split_conjunct,[status(thm)],[c_0_31])).
% 6.05/6.24 thf(c_0_40, plain, (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fm)=(fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_32, c_0_33])])).
% 6.05/6.24 thf(c_0_41, plain, p44, inference(split_conjunct,[status(thm)],[ax207])).
% 6.05/6.24 thf(c_0_42, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna))) @ fi)!=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fmi @ fna)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35]), c_0_35]), c_0_35]), c_0_36])).
% 6.05/6.24 thf(c_0_43, plain, ![X6:nat, X5:vEBT_VEBT, X2:list_VEBT_VEBT]:((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ X2 @ X6 @ X5) @ X6)=(X5)|~ford_less_nat @ X6 @ (fsize_s6755466524823107622T_VEBT @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37, c_0_38])])).
% 6.05/6.24 thf(c_0_44, plain, ford_less_nat @ fi @ (fsize_s6755466524823107622T_VEBT @ ftreeList), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_39, c_0_40]), c_0_41])])).
% 6.05/6.24 thf(c_0_45, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_42, c_0_43]), c_0_44])]), ['proof']).
% 6.05/6.24 thf(12,plain,$false,inference(eprover,[status(thm),assumptions([h10,h8,h6,h3,h4,h1,h2,h0])],[])).
% 6.05/6.24 thf(13,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_15_nsprop,11,12,h9,h10])).
% 6.05/6.24 thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h3,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_29__C5_C,10,13,h7,h8])).
% 6.05/6.24 thf(fact_1664__C7_C,axiom,((~(sP1)) => (![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))))))))))))))))).
% 6.05/6.24 thf(15,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h4,h1,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_1664__C7_C,7,14,h5,h6])).
% 6.05/6.24 thf(fact_1728__C6_C,axiom,(~((((ord_less_eq_nat @ mi) @ ma) => (~(((ord_less_nat @ ma) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)))))))).
% 6.05/6.24 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h2,h0]),tab_negimp(discharge,[h3,h4])],[fact_1728__C6_C,15,h3,h4])).
% 6.05/6.24 thf(fact_1745_highlowprop,axiom,(~((((ord_less_nat @ ((vEBT_VEBT_high @ mi) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)) => (~(((ord_less_nat @ ((vEBT_VEBT_low @ mi) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na)))))))).
% 6.05/6.24 thf(17,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[fact_1745_highlowprop,16,h1,h2])).
% 6.05/6.24 thf(0,theorem,(((nth_VEBT_VEBT @ (((list_u1324408373059187874T_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na)) @ ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))) @ ((vEBT_VEBT_low @ mi) @ na)))) @ i) = ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ mi) @ na))) @ ((vEBT_VEBT_low @ mi) @ na))),inference(contra,[status(thm),contra(discharge,[h0])],[17,h0])).
% 6.05/6.24 % SZS output end Proof
%------------------------------------------------------------------------------