TSTP Solution File: ITP233^3 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP233^3 : 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 : n019.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 7.47s 7.67s
% Output : Proof 7.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ITP233^3 : TPTP v8.1.0. Released v8.1.0.
% 0.12/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n019.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 19:48:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.47/7.67 % SZS status Theorem
% 7.47/7.67 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 7.47/7.67 % Inferences: 52
% 7.47/7.67 % SZS output start Proof
% 7.47/7.67 thf(ty_vEBT_VEBT, type, vEBT_VEBT : $tType).
% 7.47/7.67 thf(ty_list_VEBT_VEBT, type, list_VEBT_VEBT : $tType).
% 7.47/7.67 thf(ty_nat, type, nat : $tType).
% 7.47/7.67 thf(ty_set_VEBT_VEBT, type, set_VEBT_VEBT : $tType).
% 7.47/7.67 thf(ty_num, type, num : $tType).
% 7.47/7.67 thf(ty_summary, type, summary : vEBT_VEBT).
% 7.47/7.67 thf(ty_nth_VEBT_VEBT, type, nth_VEBT_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT)).
% 7.47/7.67 thf(ty_vEBT_VEBT_high, type, vEBT_VEBT_high : (nat>nat>nat)).
% 7.47/7.67 thf(ty_vEBT_vebt_insert, type, vEBT_vebt_insert : (vEBT_VEBT>nat>vEBT_VEBT)).
% 7.47/7.67 thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)).
% 7.47/7.67 thf(ty_treeList, type, treeList : list_VEBT_VEBT).
% 7.47/7.67 thf(ty_bit0, type, bit0 : (num>num)).
% 7.47/7.67 thf(ty_mi, type, mi : nat).
% 7.47/7.67 thf(ty_na, type, na : nat).
% 7.47/7.67 thf(ty_ord_less_nat, type, ord_less_nat : (nat>nat>$o)).
% 7.47/7.67 thf(ty_set_VEBT_VEBT2, type, set_VEBT_VEBT2 : (list_VEBT_VEBT>set_VEBT_VEBT)).
% 7.47/7.67 thf(ty_xa, type, xa : nat).
% 7.47/7.67 thf(ty_vEBT_VEBT_low, type, vEBT_VEBT_low : (nat>nat>nat)).
% 7.47/7.67 thf(ty_one, type, one : num).
% 7.47/7.67 thf(ty_vEBT_V8194947554948674370ptions, type, vEBT_V8194947554948674370ptions : (vEBT_VEBT>nat>$o)).
% 7.47/7.67 thf(ty_member_VEBT_VEBT2, type, member_VEBT_VEBT2 : (vEBT_VEBT>set_VEBT_VEBT>$o)).
% 7.47/7.67 thf(ty_power_power_nat, type, power_power_nat : (nat>nat>nat)).
% 7.47/7.67 thf(ty_ord_less_eq_nat, type, ord_less_eq_nat : (nat>nat>$o)).
% 7.47/7.67 thf(ty_vEBT_VEBT_minNull, type, vEBT_VEBT_minNull : (vEBT_VEBT>$o)).
% 7.47/7.67 thf(ty_ma, type, ma : nat).
% 7.47/7.67 thf(ty_m, type, m : nat).
% 7.47/7.67 thf(sP1,plain,sP1 <=> (mi = ma),introduced(definition,[new_symbols(definition,[sP1])])).
% 7.47/7.67 thf(conj_0,conjecture,(~((![X1:nat]:(~(((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ (((list_u1324408373059187874T_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na)) @ ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na))) @ ((vEBT_VEBT_low @ xa) @ na)))) @ i)) @ X1))))))).
% 7.47/7.67 thf(h0,negated_conjecture,(![X1:nat]:(~(((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ (((list_u1324408373059187874T_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na)) @ ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na))) @ ((vEBT_VEBT_low @ xa) @ na)))) @ i)) @ X1)))),inference(assume_negation,[status(cth)],[conj_0])).
% 7.47/7.67 thf(h1,assumption,((ord_less_nat @ ((vEBT_VEBT_high @ xa) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)),introduced(assumption,[])).
% 7.47/7.67 thf(h2,assumption,((ord_less_nat @ ((vEBT_VEBT_low @ xa) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na)),introduced(assumption,[])).
% 7.47/7.67 thf(h3,assumption,sP1,introduced(assumption,[])).
% 7.47/7.67 thf(h4,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,[])).
% 7.47/7.67 thf(h5,assumption,(~((xa = mi))),introduced(assumption,[])).
% 7.47/7.67 thf(h6,assumption,(~((xa = ma))),introduced(assumption,[])).
% 7.47/7.67 thf(h7,assumption,(~(sP1)),introduced(assumption,[])).
% 7.47/7.67 thf(h8,assumption,(![X1:vEBT_VEBT]:(((member_VEBT_VEBT2 @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))),introduced(assumption,[])).
% 7.47/7.67 thf(h9,assumption,(vEBT_VEBT_minNull @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na))),introduced(assumption,[])).
% 7.47/7.67 thf(h10,assumption,(summary = ((vEBT_vebt_insert @ summary) @ ((vEBT_VEBT_high @ xa) @ na))),introduced(assumption,[])).
% 7.47/7.67 thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h9,h5,h6,h7,h5,h6,h3,h1,h2,h0])],[h3,h7])).
% 7.47/7.67 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h10,h5,h6,h7,h5,h6,h3,h1,h2,h0])],[h3,h7])).
% 7.47/7.67 thf(fact_19_nsprop,axiom,((~((vEBT_VEBT_minNull @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na))))) => (summary = ((vEBT_vebt_insert @ summary) @ ((vEBT_VEBT_high @ xa) @ na))))).
% 7.47/7.67 thf(3,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h7,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_19_nsprop,1,2,h9,h10])).
% 7.47/7.67 thf(fact_22_False,axiom,(~(((~((xa = mi))) => (xa = ma))))).
% 7.47/7.67 thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[fact_22_False,3,h5,h6])).
% 7.47/7.67 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fxa @ fna)), file('<stdin>', pax1)).
% 7.47/7.67 thf(pax117, axiom, (p117=>![X1:nat]:~(fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1)), file('<stdin>', pax117)).
% 7.47/7.67 thf(ax117, axiom, p1, file('<stdin>', ax117)).
% 7.47/7.67 thf(pax3, axiom, (p3=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), file('<stdin>', pax3)).
% 7.47/7.67 thf(pax2, axiom, (p2=>fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), file('<stdin>', pax2)).
% 7.47/7.67 thf(ax2, axiom, p117, file('<stdin>', ax2)).
% 7.47/7.67 thf(ax115, axiom, p3, file('<stdin>', ax115)).
% 7.47/7.67 thf(ax116, axiom, p2, file('<stdin>', ax116)).
% 7.47/7.67 thf(c_0_8, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 7.47/7.67 thf(c_0_9, plain, ![X97:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X97), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax117])])])])).
% 7.47/7.67 thf(c_0_10, plain, ((fi)=(fvEBT_VEBT_high @ fxa @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.47/7.67 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax117])).
% 7.47/7.67 thf(c_0_12, plain, (~p3|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.47/7.67 thf(c_0_13, plain, (~p2|fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax2])).
% 7.47/7.67 thf(c_0_14, plain, ![X1:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.47/7.67 thf(c_0_15, plain, p117, inference(split_conjunct,[status(thm)],[ax2])).
% 7.47/7.67 thf(c_0_16, plain, (fvEBT_VEBT_high @ fxa @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 7.47/7.67 thf(c_0_17, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 7.47/7.67 thf(c_0_18, plain, p3, inference(split_conjunct,[status(thm)],[ax115])).
% 7.47/7.67 thf(c_0_19, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 7.47/7.67 thf(c_0_20, plain, p2, inference(split_conjunct,[status(thm)],[ax116])).
% 7.47/7.67 thf(c_0_21, plain, ![X1:nat]:~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])])).
% 7.47/7.67 thf(c_0_22, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_16]), c_0_16]), c_0_18])])).
% 7.47/7.67 thf(c_0_23, plain, fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_20])])).
% 7.47/7.67 thf(c_0_24, plain, ![X1:nat]:~fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ X1, inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 7.47/7.67 thf(c_0_25, plain, ($false), inference(sr,[status(thm)],[c_0_23, c_0_24]), ['proof']).
% 7.47/7.67 thf(5,plain,$false,inference(eprover,[status(thm),assumptions([h9,h5,h6,h8,h5,h6,h3,h1,h2,h0])],[])).
% 7.47/7.67 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fxa @ fna)), file('<stdin>', pax1)).
% 7.47/7.67 thf(pax117, axiom, (p117=>![X1:nat]:~(fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1)), file('<stdin>', pax117)).
% 7.47/7.67 thf(ax127, axiom, p1, file('<stdin>', ax127)).
% 7.47/7.67 thf(pax3, axiom, (p3=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), file('<stdin>', pax3)).
% 7.47/7.67 thf(pax2, axiom, (p2=>fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), file('<stdin>', pax2)).
% 7.47/7.67 thf(ax11, axiom, p117, file('<stdin>', ax11)).
% 7.47/7.67 thf(ax125, axiom, p3, file('<stdin>', ax125)).
% 7.47/7.67 thf(ax126, axiom, p2, file('<stdin>', ax126)).
% 7.47/7.67 thf(c_0_8, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 7.47/7.67 thf(c_0_9, plain, ![X97:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X97), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax117])])])])).
% 7.47/7.67 thf(c_0_10, plain, ((fi)=(fvEBT_VEBT_high @ fxa @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.47/7.67 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax127])).
% 7.47/7.67 thf(c_0_12, plain, (~p3|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.47/7.67 thf(c_0_13, plain, (~p2|fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax2])).
% 7.47/7.67 thf(c_0_14, plain, ![X1:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.47/7.67 thf(c_0_15, plain, p117, inference(split_conjunct,[status(thm)],[ax11])).
% 7.47/7.67 thf(c_0_16, plain, (fvEBT_VEBT_high @ fxa @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 7.47/7.67 thf(c_0_17, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 7.47/7.67 thf(c_0_18, plain, p3, inference(split_conjunct,[status(thm)],[ax125])).
% 7.47/7.67 thf(c_0_19, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 7.47/7.67 thf(c_0_20, plain, p2, inference(split_conjunct,[status(thm)],[ax126])).
% 7.47/7.67 thf(c_0_21, plain, ![X1:nat]:~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])])).
% 7.47/7.67 thf(c_0_22, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_16]), c_0_16]), c_0_18])])).
% 7.47/7.67 thf(c_0_23, plain, fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_20])])).
% 7.47/7.67 thf(c_0_24, plain, ![X1:nat]:~fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ X1, inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 7.47/7.67 thf(c_0_25, plain, ($false), inference(sr,[status(thm)],[c_0_23, c_0_24]), ['proof']).
% 7.47/7.67 thf(6,plain,$false,inference(eprover,[status(thm),assumptions([h10,h5,h6,h8,h5,h6,h3,h1,h2,h0])],[])).
% 7.47/7.67 thf(7,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h8,h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_19_nsprop,5,6,h9,h10])).
% 7.47/7.67 thf(8,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h5,h6,h3,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[fact_22_False,7,h5,h6])).
% 7.47/7.67 thf(fact_26__C5_C,axiom,(sP1 => (![X1:vEBT_VEBT]:(((member_VEBT_VEBT2 @ X1) @ (set_VEBT_VEBT2 @ treeList)) => (![X2:nat]:(~(((vEBT_V8194947554948674370ptions @ X1) @ X2)))))))).
% 7.47/7.67 thf(9,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h3,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_26__C5_C,4,8,h7,h8])).
% 7.47/7.67 thf(10,plain,$false,inference(tab_negimp,[status(thm),assumptions([h3,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[fact_22_False,9,h5,h6])).
% 7.47/7.67 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fxa @ fna)), file('<stdin>', pax1)).
% 7.47/7.67 thf(pax117, axiom, (p117=>![X1:nat]:~(fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1)), file('<stdin>', pax117)).
% 7.47/7.67 thf(ax136, axiom, p1, file('<stdin>', ax136)).
% 7.47/7.67 thf(pax3, axiom, (p3=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), file('<stdin>', pax3)).
% 7.47/7.67 thf(pax2, axiom, (p2=>fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), file('<stdin>', pax2)).
% 7.47/7.67 thf(ax21, axiom, p117, file('<stdin>', ax21)).
% 7.47/7.67 thf(ax134, axiom, p3, file('<stdin>', ax134)).
% 7.47/7.67 thf(ax135, axiom, p2, file('<stdin>', ax135)).
% 7.47/7.67 thf(c_0_8, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 7.47/7.67 thf(c_0_9, plain, ![X102:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X102), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax117])])])])).
% 7.47/7.67 thf(c_0_10, plain, ((fi)=(fvEBT_VEBT_high @ fxa @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.47/7.67 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax136])).
% 7.47/7.67 thf(c_0_12, plain, (~p3|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.47/7.67 thf(c_0_13, plain, (~p2|fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax2])).
% 7.47/7.67 thf(c_0_14, plain, ![X1:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.47/7.67 thf(c_0_15, plain, p117, inference(split_conjunct,[status(thm)],[ax21])).
% 7.47/7.67 thf(c_0_16, plain, (fvEBT_VEBT_high @ fxa @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 7.47/7.67 thf(c_0_17, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 7.47/7.67 thf(c_0_18, plain, p3, inference(split_conjunct,[status(thm)],[ax134])).
% 7.47/7.67 thf(c_0_19, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 7.47/7.67 thf(c_0_20, plain, p2, inference(split_conjunct,[status(thm)],[ax135])).
% 7.47/7.67 thf(c_0_21, plain, ![X1:nat]:~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X1, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])])).
% 7.47/7.67 thf(c_0_22, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_16]), c_0_16]), c_0_18])])).
% 7.47/7.67 thf(c_0_23, plain, fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_20])])).
% 7.47/7.67 thf(c_0_24, plain, ![X1:nat]:~fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ X1, inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 7.47/7.67 thf(c_0_25, plain, ($false), inference(sr,[status(thm)],[c_0_23, c_0_24]), ['proof']).
% 7.47/7.67 thf(11,plain,$false,inference(eprover,[status(thm),assumptions([h9,h5,h6,h7,h5,h6,h4,h1,h2,h0])],[])).
% 7.47/7.67 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fxa @ fna)), file('<stdin>', pax1)).
% 7.47/7.67 thf(pax117, axiom, (p117=>![X6:nat]:~(fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X6)), file('<stdin>', pax117)).
% 7.47/7.67 thf(ax232, axiom, p1, file('<stdin>', ax232)).
% 7.47/7.67 thf(pax3, axiom, (p3=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), file('<stdin>', pax3)).
% 7.47/7.67 thf(pax2, axiom, (p2=>fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), file('<stdin>', pax2)).
% 7.47/7.67 thf(ax116, axiom, p117, file('<stdin>', ax116)).
% 7.47/7.67 thf(ax230, axiom, p3, file('<stdin>', ax230)).
% 7.47/7.67 thf(ax231, axiom, p2, file('<stdin>', ax231)).
% 7.47/7.67 thf(c_0_8, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 7.47/7.67 thf(c_0_9, plain, ![X134:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X134), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax117])])])])).
% 7.47/7.67 thf(c_0_10, plain, ((fi)=(fvEBT_VEBT_high @ fxa @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.47/7.67 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax232])).
% 7.47/7.67 thf(c_0_12, plain, (~p3|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.47/7.67 thf(c_0_13, plain, (~p2|fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax2])).
% 7.47/7.67 thf(c_0_14, plain, ![X2:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X2), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.47/7.67 thf(c_0_15, plain, p117, inference(split_conjunct,[status(thm)],[ax116])).
% 7.47/7.67 thf(c_0_16, plain, (fvEBT_VEBT_high @ fxa @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 7.47/7.67 thf(c_0_17, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 7.47/7.67 thf(c_0_18, plain, p3, inference(split_conjunct,[status(thm)],[ax230])).
% 7.47/7.67 thf(c_0_19, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 7.47/7.67 thf(c_0_20, plain, p2, inference(split_conjunct,[status(thm)],[ax231])).
% 7.47/7.67 thf(c_0_21, plain, ![X2:nat]:~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])])).
% 7.47/7.67 thf(c_0_22, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_16]), c_0_16]), c_0_18])])).
% 7.47/7.67 thf(c_0_23, plain, fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_20])])).
% 7.47/7.67 thf(c_0_24, plain, ![X2:nat]:~fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ X2, inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 7.47/7.67 thf(c_0_25, plain, ($false), inference(sr,[status(thm)],[c_0_23, c_0_24]), ['proof']).
% 7.47/7.67 thf(12,plain,$false,inference(eprover,[status(thm),assumptions([h10,h5,h6,h7,h5,h6,h4,h1,h2,h0])],[])).
% 7.47/7.67 thf(13,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h7,h5,h6,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_19_nsprop,11,12,h9,h10])).
% 7.47/7.67 thf(14,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[fact_22_False,13,h5,h6])).
% 7.47/7.67 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fxa @ fna)), file('<stdin>', pax1)).
% 7.47/7.67 thf(pax117, axiom, (p117=>![X6:nat]:~(fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X6)), file('<stdin>', pax117)).
% 7.47/7.67 thf(ax238, axiom, p1, file('<stdin>', ax238)).
% 7.47/7.67 thf(pax3, axiom, (p3=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), file('<stdin>', pax3)).
% 7.47/7.67 thf(pax2, axiom, (p2=>fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), file('<stdin>', pax2)).
% 7.47/7.67 thf(ax123, axiom, p117, file('<stdin>', ax123)).
% 7.47/7.67 thf(ax236, axiom, p3, file('<stdin>', ax236)).
% 7.47/7.67 thf(ax237, axiom, p2, file('<stdin>', ax237)).
% 7.47/7.67 thf(c_0_8, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 7.47/7.67 thf(c_0_9, plain, ![X154:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X154), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax117])])])])).
% 7.47/7.67 thf(c_0_10, plain, ((fi)=(fvEBT_VEBT_high @ fxa @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.47/7.67 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax238])).
% 7.47/7.67 thf(c_0_12, plain, (~p3|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.47/7.67 thf(c_0_13, plain, (~p2|fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax2])).
% 7.47/7.67 thf(c_0_14, plain, ![X2:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X2), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.47/7.67 thf(c_0_15, plain, p117, inference(split_conjunct,[status(thm)],[ax123])).
% 7.47/7.67 thf(c_0_16, plain, (fvEBT_VEBT_high @ fxa @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 7.47/7.67 thf(c_0_17, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 7.47/7.67 thf(c_0_18, plain, p3, inference(split_conjunct,[status(thm)],[ax236])).
% 7.47/7.67 thf(c_0_19, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 7.47/7.67 thf(c_0_20, plain, p2, inference(split_conjunct,[status(thm)],[ax237])).
% 7.47/7.67 thf(c_0_21, plain, ![X2:nat]:~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X2, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])])).
% 7.47/7.67 thf(c_0_22, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_16]), c_0_16]), c_0_18])])).
% 7.47/7.67 thf(c_0_23, plain, fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_20])])).
% 7.47/7.67 thf(c_0_24, plain, ![X2:nat]:~fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ X2, inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 7.47/7.67 thf(c_0_25, plain, ($false), inference(sr,[status(thm)],[c_0_23, c_0_24]), ['proof']).
% 7.47/7.67 thf(15,plain,$false,inference(eprover,[status(thm),assumptions([h9,h5,h6,h8,h5,h6,h4,h1,h2,h0])],[])).
% 7.47/7.67 thf(pax1, axiom, (p1=>(fi)=(fvEBT_VEBT_high @ fxa @ fna)), file('<stdin>', pax1)).
% 7.47/7.67 thf(pax117, axiom, (p117=>![X7:nat]:~(fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X7)), file('<stdin>', pax117)).
% 7.47/7.67 thf(ax394, axiom, p1, file('<stdin>', ax394)).
% 7.47/7.67 thf(pax3, axiom, (p3=>(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), file('<stdin>', pax3)).
% 7.47/7.67 thf(pax2, axiom, (p2=>fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), file('<stdin>', pax2)).
% 7.47/7.67 thf(ax278, axiom, p117, file('<stdin>', ax278)).
% 7.47/7.67 thf(ax392, axiom, p3, file('<stdin>', ax392)).
% 7.47/7.67 thf(ax393, axiom, p2, file('<stdin>', ax393)).
% 7.47/7.67 thf(c_0_8, plain, (~p1|(fi)=(fvEBT_VEBT_high @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax1])).
% 7.47/7.67 thf(c_0_9, plain, ![X190:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X190), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax117])])])])).
% 7.47/7.67 thf(c_0_10, plain, ((fi)=(fvEBT_VEBT_high @ fxa @ fna)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 7.47/7.67 thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax394])).
% 7.47/7.67 thf(c_0_12, plain, (~p3|(fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))), inference(fof_nnf,[status(thm)],[pax3])).
% 7.47/7.67 thf(c_0_13, plain, (~p2|fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(fof_nnf,[status(thm)],[pax2])).
% 7.47/7.67 thf(c_0_14, plain, ![X3:nat]:(~p117|~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 7.47/7.67 thf(c_0_15, plain, p117, inference(split_conjunct,[status(thm)],[ax278])).
% 7.47/7.67 thf(c_0_16, plain, (fvEBT_VEBT_high @ fxa @ fna)=(fi), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 7.47/7.67 thf(c_0_17, plain, ((fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna))|~p3), inference(split_conjunct,[status(thm)],[c_0_12])).
% 7.47/7.67 thf(c_0_18, plain, p3, inference(split_conjunct,[status(thm)],[ax392])).
% 7.47/7.67 thf(c_0_19, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna)|~p2), inference(split_conjunct,[status(thm)],[c_0_13])).
% 7.47/7.67 thf(c_0_20, plain, p2, inference(split_conjunct,[status(thm)],[ax393])).
% 7.47/7.67 thf(c_0_21, plain, ![X3:nat]:~fvEBT_V8194947554948674370ptions @ (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi) @ X3, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15]), c_0_16]), c_0_16])])).
% 7.47/7.67 thf(c_0_22, plain, (fnth_VEBT_VEBT @ (flist_u1324408373059187874T_VEBT @ ftreeList @ fi @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna))) @ fi)=(fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_16]), c_0_16]), c_0_18])])).
% 7.47/7.67 thf(c_0_23, plain, fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ (fvEBT_VEBT_low @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_16]), c_0_20])])).
% 7.47/7.67 thf(c_0_24, plain, ![X3:nat]:~fvEBT_V8194947554948674370ptions @ (fvEBT_vebt_insert @ (fnth_VEBT_VEBT @ ftreeList @ fi) @ (fvEBT_VEBT_low @ fxa @ fna)) @ X3, inference(rw,[status(thm)],[c_0_21, c_0_22])).
% 7.47/7.67 thf(c_0_25, plain, ($false), inference(sr,[status(thm)],[c_0_23, c_0_24]), ['proof']).
% 7.47/7.67 thf(16,plain,$false,inference(eprover,[status(thm),assumptions([h10,h5,h6,h8,h5,h6,h4,h1,h2,h0])],[])).
% 7.47/7.67 thf(17,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h8,h5,h6,h4,h1,h2,h0]),tab_imp(discharge,[h9]),tab_imp(discharge,[h10])],[fact_19_nsprop,15,16,h9,h10])).
% 7.47/7.67 thf(18,plain,$false,inference(tab_negimp,[status(thm),assumptions([h8,h5,h6,h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[fact_22_False,17,h5,h6])).
% 7.47/7.67 thf(19,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h6,h4,h1,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_26__C5_C,14,18,h7,h8])).
% 7.47/7.67 thf(20,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h1,h2,h0]),tab_negimp(discharge,[h5,h6])],[fact_22_False,19,h5,h6])).
% 7.47/7.67 thf(fact_1768__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))))))))))))))))).
% 7.47/7.67 thf(21,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_1768__C7_C,10,20,h3,h4])).
% 7.47/7.67 thf(fact_1849_highlowprop,axiom,(~((((ord_less_nat @ ((vEBT_VEBT_high @ xa) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ m)) => (~(((ord_less_nat @ ((vEBT_VEBT_low @ xa) @ na)) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ na)))))))).
% 7.47/7.67 thf(22,plain,$false,inference(tab_negimp,[status(thm),assumptions([h0]),tab_negimp(discharge,[h1,h2])],[fact_1849_highlowprop,21,h1,h2])).
% 7.47/7.67 thf(0,theorem,(~((![X1:nat]:(~(((vEBT_V8194947554948674370ptions @ ((nth_VEBT_VEBT @ (((list_u1324408373059187874T_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na)) @ ((vEBT_vebt_insert @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ xa) @ na))) @ ((vEBT_VEBT_low @ xa) @ na)))) @ i)) @ X1)))))),inference(contra,[status(thm),contra(discharge,[h0])],[22,h0])).
% 7.47/7.67 % SZS output end Proof
%------------------------------------------------------------------------------