TSTP Solution File: ITP221^1 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP221^1 : 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 : n018.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 00:29:41 EDT 2022
% Result : Theorem 258.79s 258.05s
% Output : Proof 258.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : ITP221^1 : TPTP v8.1.0. Released v8.1.0.
% 0.13/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.36 % Computer : n018.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Thu Jun 2 15:53:00 EDT 2022
% 0.14/0.36 % CPUTime :
% 258.79/258.05 % SZS status Theorem
% 258.79/258.05 % Mode: mode504:USE_SINE=true:SINE_TOLERANCE=2.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=0
% 258.79/258.05 % Inferences: 7051
% 258.79/258.05 % SZS output start Proof
% 258.79/258.05 thf(ty_vEBT_VEBT, type, vEBT_VEBT : $tType).
% 258.79/258.05 thf(ty_option4927543243414619207at_nat, type, option4927543243414619207at_nat : $tType).
% 258.79/258.05 thf(ty_list_VEBT_VEBT, type, list_VEBT_VEBT : $tType).
% 258.79/258.05 thf(ty_nat, type, nat : $tType).
% 258.79/258.05 thf(ty_num, type, num : $tType).
% 258.79/258.05 thf(ty_info, type, info : option4927543243414619207at_nat).
% 258.79/258.05 thf(ty_summary, type, summary : vEBT_VEBT).
% 258.79/258.05 thf(ty_nth_VEBT_VEBT, type, nth_VEBT_VEBT : (list_VEBT_VEBT>nat>vEBT_VEBT)).
% 258.79/258.05 thf(ty_vEBT_VEBT_high, type, vEBT_VEBT_high : (nat>nat>nat)).
% 258.79/258.05 thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)).
% 258.79/258.05 thf(ty_treeList, type, treeList : list_VEBT_VEBT).
% 258.79/258.05 thf(ty_vEBT_VEBT_membermima, type, vEBT_VEBT_membermima : (vEBT_VEBT>nat>$o)).
% 258.79/258.05 thf(ty_bit0, type, bit0 : (num>num)).
% 258.79/258.05 thf(ty_deg, type, deg : nat).
% 258.79/258.05 thf(ty_vEBT_VEBT_low, type, vEBT_VEBT_low : (nat>nat>nat)).
% 258.79/258.05 thf(ty_one, type, one : num).
% 258.79/258.05 thf(ty_vEBT_V8194947554948674370ptions, type, vEBT_V8194947554948674370ptions : (vEBT_VEBT>nat>$o)).
% 258.79/258.05 thf(ty_vEBT_V5719532721284313246member, type, vEBT_V5719532721284313246member : (vEBT_VEBT>nat>$o)).
% 258.79/258.05 thf(ty_vEBT_Node, type, vEBT_Node : (option4927543243414619207at_nat>nat>list_VEBT_VEBT>vEBT_VEBT>vEBT_VEBT)).
% 258.79/258.05 thf(ty_divide_divide_nat, type, divide_divide_nat : (nat>nat>nat)).
% 258.79/258.05 thf(ty_x, type, x : nat).
% 258.79/258.05 thf(sP1,plain,sP1 <=> ((vEBT_VEBT_membermima @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ x) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ x) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))),introduced(definition,[new_symbols(definition,[sP1])])).
% 258.79/258.05 thf(sP2,plain,sP2 <=> ((vEBT_V8194947554948674370ptions @ ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)) @ x),introduced(definition,[new_symbols(definition,[sP2])])).
% 258.79/258.05 thf(sP3,plain,sP3 <=> ((vEBT_V5719532721284313246member @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ x) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ x) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 258.79/258.05 thf(conj_0,conjecture,sP2).
% 258.79/258.05 thf(h0,negated_conjecture,(~(sP2)),inference(assume_negation,[status(cth)],[conj_0])).
% 258.79/258.05 thf(h1,assumption,sP1,introduced(assumption,[])).
% 258.79/258.05 thf(h2,assumption,sP3,introduced(assumption,[])).
% 258.79/258.05 thf(h3,assumption,(~(sP1)),introduced(assumption,[])).
% 258.79/258.05 thf(h4,assumption,((vEBT_VEBT_membermima @ ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)) @ x),introduced(assumption,[])).
% 258.79/258.05 thf(h5,assumption,(~(sP3)),introduced(assumption,[])).
% 258.79/258.05 thf(h6,assumption,((vEBT_V5719532721284313246member @ ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)) @ x),introduced(assumption,[])).
% 258.79/258.05 thf(h7,assumption,(~((summary = ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)))),introduced(assumption,[])).
% 258.79/258.05 thf(h8,assumption,sP2,introduced(assumption,[])).
% 258.79/258.05 thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h7,h5,h3,h1,h0])],[h1,h3])).
% 258.79/258.05 thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h5,h3,h1,h0])],[h1,h3])).
% 258.79/258.05 thf(fact_3__C5_Ohyps_C_I3_J,axiom,((summary = ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)) => sP2)).
% 258.79/258.05 thf(3,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h3,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,1,2,h7,h8])).
% 258.79/258.05 thf(4,plain,$false,inference(tab_conflict,[status(thm),assumptions([h7,h6,h3,h1,h0])],[h1,h3])).
% 258.79/258.05 thf(5,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h6,h3,h1,h0])],[h1,h3])).
% 258.79/258.05 thf(6,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h3,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,4,5,h7,h8])).
% 258.79/258.05 thf(fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,axiom,(sP3 => ((vEBT_V5719532721284313246member @ ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)) @ x))).
% 258.79/258.05 thf(7,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,3,6,h5,h6])).
% 258.79/258.05 thf(ax2987, axiom, (~(p1)|p92), file('<stdin>', ax2987)).
% 258.79/258.05 thf(ax2986, axiom, (~(p92)|p93), file('<stdin>', ax2986)).
% 258.79/258.05 thf(ax3084, axiom, p1, file('<stdin>', ax3084)).
% 258.79/258.05 thf(ax1284, axiom, (~(p93)|p1338), file('<stdin>', ax1284)).
% 258.79/258.05 thf(ax564, axiom, (~(p1338)|p1941), file('<stdin>', ax564)).
% 258.79/258.05 thf(pax13, axiom, (p13=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', pax13)).
% 258.79/258.05 thf(nax11, axiom, (p11<=fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', nax11)).
% 258.79/258.05 thf(ax3057, axiom, ~(p11), file('<stdin>', ax3057)).
% 258.79/258.05 thf(pax1941, axiom, (p1941=>(fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx<=>(~(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx))), file('<stdin>', pax1941)).
% 258.79/258.05 thf(ax3076, axiom, p13, file('<stdin>', ax3076)).
% 258.79/258.05 thf(c_0_10, plain, (~p1|p92), inference(fof_simplification,[status(thm)],[ax2987])).
% 258.79/258.05 thf(c_0_11, plain, (~p92|p93), inference(fof_simplification,[status(thm)],[ax2986])).
% 258.79/258.05 thf(c_0_12, plain, (p92|~p1), inference(split_conjunct,[status(thm)],[c_0_10])).
% 258.79/258.05 thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax3084])).
% 258.79/258.05 thf(c_0_14, plain, (~p93|p1338), inference(fof_simplification,[status(thm)],[ax1284])).
% 258.79/258.05 thf(c_0_15, plain, (p93|~p92), inference(split_conjunct,[status(thm)],[c_0_11])).
% 258.79/258.05 thf(c_0_16, plain, p92, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 258.79/258.05 thf(c_0_17, plain, (~p1338|p1941), inference(fof_simplification,[status(thm)],[ax564])).
% 258.79/258.05 thf(c_0_18, plain, (p1338|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 258.79/258.05 thf(c_0_19, plain, p93, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 258.79/258.05 thf(c_0_20, plain, (~p13|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(fof_nnf,[status(thm)],[pax13])).
% 258.79/258.05 thf(c_0_21, plain, (~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 258.79/258.05 thf(c_0_22, plain, ~p11, inference(fof_simplification,[status(thm)],[ax3057])).
% 258.79/258.05 thf(c_0_23, plain, ((~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)|~p1941)&((~fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941)&(~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1941])])])).
% 258.79/258.05 thf(c_0_24, plain, (p1941|~p1338), inference(split_conjunct,[status(thm)],[c_0_17])).
% 258.79/258.05 thf(c_0_25, plain, p1338, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 258.79/258.05 thf(c_0_26, plain, (fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p13), inference(split_conjunct,[status(thm)],[c_0_20])).
% 258.79/258.05 thf(c_0_27, plain, p13, inference(split_conjunct,[status(thm)],[ax3076])).
% 258.79/258.05 thf(c_0_28, plain, (p11|~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(split_conjunct,[status(thm)],[c_0_21])).
% 258.79/258.05 thf(c_0_29, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_22])).
% 258.79/258.05 thf(c_0_30, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941), inference(split_conjunct,[status(thm)],[c_0_23])).
% 258.79/258.05 thf(c_0_31, plain, p1941, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 258.79/258.05 thf(c_0_32, plain, fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 258.79/258.05 thf(c_0_33, plain, ~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx, inference(sr,[status(thm)],[c_0_28, c_0_29])).
% 258.79/258.05 thf(c_0_34, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31]), c_0_32])]), c_0_33]), ['proof']).
% 258.79/258.05 thf(8,plain,$false,inference(eprover,[status(thm),assumptions([h7,h5,h4,h1,h0])],[])).
% 258.79/258.05 thf(9,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h5,h4,h1,h0])],[h8,h0])).
% 258.79/258.05 thf(10,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h4,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,8,9,h7,h8])).
% 258.79/258.05 thf(ax2512, axiom, (~(p1)|p92), file('<stdin>', ax2512)).
% 258.79/258.05 thf(ax2511, axiom, (~(p92)|p93), file('<stdin>', ax2511)).
% 258.79/258.05 thf(ax2675, axiom, p1, file('<stdin>', ax2675)).
% 258.79/258.05 thf(ax1096, axiom, (~(p93)|p1338), file('<stdin>', ax1096)).
% 258.79/258.05 thf(nax11, axiom, (p11<=fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', nax11)).
% 258.79/258.05 thf(ax2648, axiom, ~(p11), file('<stdin>', ax2648)).
% 258.79/258.05 thf(pax13, axiom, (p13=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', pax13)).
% 258.79/258.05 thf(ax238, axiom, (~(p1338)|p1941), file('<stdin>', ax238)).
% 258.79/258.05 thf(pax1941, axiom, (p1941=>(fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx<=>(~(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx))), file('<stdin>', pax1941)).
% 258.79/258.05 thf(ax2667, axiom, p13, file('<stdin>', ax2667)).
% 258.79/258.05 thf(c_0_10, plain, (~p1|p92), inference(fof_simplification,[status(thm)],[ax2512])).
% 258.79/258.05 thf(c_0_11, plain, (~p92|p93), inference(fof_simplification,[status(thm)],[ax2511])).
% 258.79/258.05 thf(c_0_12, plain, (p92|~p1), inference(split_conjunct,[status(thm)],[c_0_10])).
% 258.79/258.05 thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax2675])).
% 258.79/258.05 thf(c_0_14, plain, (~p93|p1338), inference(fof_simplification,[status(thm)],[ax1096])).
% 258.79/258.05 thf(c_0_15, plain, (p93|~p92), inference(split_conjunct,[status(thm)],[c_0_11])).
% 258.79/258.05 thf(c_0_16, plain, p92, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 258.79/258.05 thf(c_0_17, plain, (~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 258.79/258.05 thf(c_0_18, plain, ~p11, inference(fof_simplification,[status(thm)],[ax2648])).
% 258.79/258.05 thf(c_0_19, plain, (~p13|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(fof_nnf,[status(thm)],[pax13])).
% 258.79/258.05 thf(c_0_20, plain, (~p1338|p1941), inference(fof_simplification,[status(thm)],[ax238])).
% 258.79/258.05 thf(c_0_21, plain, (p1338|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 258.79/258.05 thf(c_0_22, plain, p93, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 258.79/258.05 thf(c_0_23, plain, ((~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)|~p1941)&((~fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941)&(~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1941])])])).
% 258.79/258.05 thf(c_0_24, plain, (p11|~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(split_conjunct,[status(thm)],[c_0_17])).
% 258.79/258.05 thf(c_0_25, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_18])).
% 258.79/258.05 thf(c_0_26, plain, (fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p13), inference(split_conjunct,[status(thm)],[c_0_19])).
% 258.79/258.05 thf(c_0_27, plain, p13, inference(split_conjunct,[status(thm)],[ax2667])).
% 258.79/258.05 thf(c_0_28, plain, (p1941|~p1338), inference(split_conjunct,[status(thm)],[c_0_20])).
% 258.79/258.05 thf(c_0_29, plain, p1338, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])).
% 258.79/258.05 thf(c_0_30, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941), inference(split_conjunct,[status(thm)],[c_0_23])).
% 258.79/258.05 thf(c_0_31, plain, ~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx, inference(sr,[status(thm)],[c_0_24, c_0_25])).
% 258.79/258.05 thf(c_0_32, plain, fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 258.79/258.05 thf(c_0_33, plain, p1941, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 258.79/258.05 thf(c_0_34, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_30, c_0_31, c_0_32, c_0_33]), ['proof']).
% 258.79/258.05 thf(11,plain,$false,inference(eprover,[status(thm),assumptions([h7,h6,h4,h1,h0])],[])).
% 258.79/258.05 thf(12,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h6,h4,h1,h0])],[h8,h0])).
% 258.79/258.05 thf(13,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h4,h1,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,11,12,h7,h8])).
% 258.79/258.05 thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h4,h1,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,10,13,h5,h6])).
% 258.79/258.05 thf(fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,axiom,(sP1 => ((vEBT_VEBT_membermima @ ((((vEBT_Node @ info) @ deg) @ treeList) @ summary)) @ x))).
% 258.79/258.05 thf(15,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,7,14,h3,h4])).
% 258.79/258.05 thf(16,plain,$false,inference(tab_conflict,[status(thm),assumptions([h7,h5,h3,h2,h0])],[h2,h5])).
% 258.79/258.05 thf(17,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h5,h3,h2,h0])],[h2,h5])).
% 258.79/258.05 thf(18,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h3,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,16,17,h7,h8])).
% 258.79/258.05 thf(ax2919, axiom, (~(p1)|p92), file('<stdin>', ax2919)).
% 258.79/258.05 thf(ax2918, axiom, (~(p92)|p93), file('<stdin>', ax2918)).
% 258.79/258.05 thf(ax3102, axiom, p1, file('<stdin>', ax3102)).
% 258.79/258.05 thf(ax1455, axiom, (~(p93)|p1338), file('<stdin>', ax1455)).
% 258.79/258.05 thf(nax11, axiom, (p11<=fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', nax11)).
% 258.79/258.05 thf(ax3075, axiom, ~(p11), file('<stdin>', ax3075)).
% 258.79/258.05 thf(ax457, axiom, (~(p1338)|p1941), file('<stdin>', ax457)).
% 258.79/258.05 thf(pax1941, axiom, (p1941=>(fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx<=>(~(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx))), file('<stdin>', pax1941)).
% 258.79/258.05 thf(pax12, axiom, (p12=>fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', pax12)).
% 258.79/258.05 thf(ax3095, axiom, p12, file('<stdin>', ax3095)).
% 258.79/258.05 thf(c_0_10, plain, (~p1|p92), inference(fof_simplification,[status(thm)],[ax2919])).
% 258.79/258.05 thf(c_0_11, plain, (~p92|p93), inference(fof_simplification,[status(thm)],[ax2918])).
% 258.79/258.05 thf(c_0_12, plain, (p92|~p1), inference(split_conjunct,[status(thm)],[c_0_10])).
% 258.79/258.05 thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax3102])).
% 258.79/258.05 thf(c_0_14, plain, (~p93|p1338), inference(fof_simplification,[status(thm)],[ax1455])).
% 258.79/258.05 thf(c_0_15, plain, (p93|~p92), inference(split_conjunct,[status(thm)],[c_0_11])).
% 258.79/258.05 thf(c_0_16, plain, p92, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 258.79/258.05 thf(c_0_17, plain, (~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 258.79/258.05 thf(c_0_18, plain, ~p11, inference(fof_simplification,[status(thm)],[ax3075])).
% 258.79/258.05 thf(c_0_19, plain, (~p1338|p1941), inference(fof_simplification,[status(thm)],[ax457])).
% 258.79/258.05 thf(c_0_20, plain, (p1338|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 258.79/258.05 thf(c_0_21, plain, p93, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 258.79/258.05 thf(c_0_22, plain, ((~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)|~p1941)&((~fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941)&(~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1941])])])).
% 258.79/258.05 thf(c_0_23, plain, (~p12|fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(fof_nnf,[status(thm)],[pax12])).
% 258.79/258.05 thf(c_0_24, plain, (p11|~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(split_conjunct,[status(thm)],[c_0_17])).
% 258.79/258.05 thf(c_0_25, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_18])).
% 258.79/258.05 thf(c_0_26, plain, (p1941|~p1338), inference(split_conjunct,[status(thm)],[c_0_19])).
% 258.79/258.05 thf(c_0_27, plain, p1338, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 258.79/258.05 thf(c_0_28, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941), inference(split_conjunct,[status(thm)],[c_0_22])).
% 258.79/258.05 thf(c_0_29, plain, (fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p12), inference(split_conjunct,[status(thm)],[c_0_23])).
% 258.79/258.05 thf(c_0_30, plain, ~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx, inference(sr,[status(thm)],[c_0_24, c_0_25])).
% 258.79/258.05 thf(c_0_31, plain, p1941, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 258.79/258.05 thf(c_0_32, plain, p12, inference(split_conjunct,[status(thm)],[ax3095])).
% 258.79/258.05 thf(c_0_33, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_28, c_0_29, c_0_30, c_0_31, c_0_32]), ['proof']).
% 258.79/258.05 thf(19,plain,$false,inference(eprover,[status(thm),assumptions([h7,h6,h3,h2,h0])],[])).
% 258.79/258.05 thf(20,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h6,h3,h2,h0])],[h8,h0])).
% 258.79/258.05 thf(21,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h3,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,19,20,h7,h8])).
% 258.79/258.05 thf(22,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,18,21,h5,h6])).
% 258.79/258.05 thf(23,plain,$false,inference(tab_conflict,[status(thm),assumptions([h7,h5,h4,h2,h0])],[h2,h5])).
% 258.79/258.05 thf(24,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h5,h4,h2,h0])],[h2,h5])).
% 258.79/258.05 thf(25,plain,$false,inference(tab_imp,[status(thm),assumptions([h5,h4,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,23,24,h7,h8])).
% 258.79/258.05 thf(ax3390, axiom, (~(p1)|p92), file('<stdin>', ax3390)).
% 258.79/258.05 thf(ax3389, axiom, (~(p92)|p93), file('<stdin>', ax3389)).
% 258.79/258.05 thf(ax3589, axiom, p1, file('<stdin>', ax3589)).
% 258.79/258.05 thf(ax2008, axiom, (~(p93)|p1338), file('<stdin>', ax2008)).
% 258.79/258.05 thf(nax11, axiom, (p11<=fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', nax11)).
% 258.79/258.05 thf(ax3562, axiom, ~(p11), file('<stdin>', ax3562)).
% 258.79/258.05 thf(ax791, axiom, (~(p1338)|p1941), file('<stdin>', ax791)).
% 258.79/258.05 thf(pax1941, axiom, (p1941=>(fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx<=>(~(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx))), file('<stdin>', pax1941)).
% 258.79/258.05 thf(pax13, axiom, (p13=>fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), file('<stdin>', pax13)).
% 258.79/258.05 thf(ax3581, axiom, p13, file('<stdin>', ax3581)).
% 258.79/258.05 thf(c_0_10, plain, (~p1|p92), inference(fof_simplification,[status(thm)],[ax3390])).
% 258.79/258.05 thf(c_0_11, plain, (~p92|p93), inference(fof_simplification,[status(thm)],[ax3389])).
% 258.79/258.05 thf(c_0_12, plain, (p92|~p1), inference(split_conjunct,[status(thm)],[c_0_10])).
% 258.79/258.05 thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax3589])).
% 258.79/258.05 thf(c_0_14, plain, (~p93|p1338), inference(fof_simplification,[status(thm)],[ax2008])).
% 258.79/258.05 thf(c_0_15, plain, (p93|~p92), inference(split_conjunct,[status(thm)],[c_0_11])).
% 258.79/258.05 thf(c_0_16, plain, p92, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 258.79/258.05 thf(c_0_17, plain, (~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|p11), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax11])])).
% 258.79/258.05 thf(c_0_18, plain, ~p11, inference(fof_simplification,[status(thm)],[ax3562])).
% 258.79/258.05 thf(c_0_19, plain, (~p1338|p1941), inference(fof_simplification,[status(thm)],[ax791])).
% 258.79/258.05 thf(c_0_20, plain, (p1338|~p93), inference(split_conjunct,[status(thm)],[c_0_14])).
% 258.79/258.05 thf(c_0_21, plain, p93, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 258.79/258.05 thf(c_0_22, plain, ((~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|(fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx)|~p1941)&((~fvEBT_V5719532721284313246member @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941)&(~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941))), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1941])])])).
% 258.79/258.05 thf(c_0_23, plain, (~p13|fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(fof_nnf,[status(thm)],[pax13])).
% 258.79/258.05 thf(c_0_24, plain, (p11|~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx), inference(split_conjunct,[status(thm)],[c_0_17])).
% 258.79/258.05 thf(c_0_25, plain, ~p11, inference(split_conjunct,[status(thm)],[c_0_18])).
% 258.79/258.05 thf(c_0_26, plain, (p1941|~p1338), inference(split_conjunct,[status(thm)],[c_0_19])).
% 258.79/258.05 thf(c_0_27, plain, p1338, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 258.79/258.05 thf(c_0_28, plain, (fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p1941), inference(split_conjunct,[status(thm)],[c_0_22])).
% 258.79/258.05 thf(c_0_29, plain, (fvEBT_VEBT_membermima @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx|~p13), inference(split_conjunct,[status(thm)],[c_0_23])).
% 258.79/258.05 thf(c_0_30, plain, ~fvEBT_V8194947554948674370ptions @ (fvEBT_Node @ finfo @ fdeg @ ftreeList @ fsummary) @ fx, inference(sr,[status(thm)],[c_0_24, c_0_25])).
% 258.79/258.05 thf(c_0_31, plain, p1941, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 258.79/258.05 thf(c_0_32, plain, p13, inference(split_conjunct,[status(thm)],[ax3581])).
% 258.79/258.05 thf(c_0_33, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_28, c_0_29, c_0_30, c_0_31, c_0_32]), ['proof']).
% 258.79/258.05 thf(26,plain,$false,inference(eprover,[status(thm),assumptions([h7,h6,h4,h2,h0])],[])).
% 258.79/258.05 thf(27,plain,$false,inference(tab_conflict,[status(thm),assumptions([h8,h6,h4,h2,h0])],[h8,h0])).
% 258.79/258.05 thf(28,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h4,h2,h0]),tab_imp(discharge,[h7]),tab_imp(discharge,[h8])],[fact_3__C5_Ohyps_C_I3_J,26,27,h7,h8])).
% 258.79/258.05 thf(29,plain,$false,inference(tab_imp,[status(thm),assumptions([h4,h2,h0]),tab_imp(discharge,[h5]),tab_imp(discharge,[h6])],[fact_7__092_060open_062naive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Anaive__member_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,25,28,h5,h6])).
% 258.79/258.05 thf(30,plain,$false,inference(tab_imp,[status(thm),assumptions([h2,h0]),tab_imp(discharge,[h3]),tab_imp(discharge,[h4])],[fact_8__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060Longrightarrow_062_Amembermima_A_INode_Ainfo_Adeg_AtreeList_Asummary_J_Ax_092_060close_062,22,29,h3,h4])).
% 258.79/258.05 thf(fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062,axiom,((~(sP1)) => sP3)).
% 258.79/258.05 thf(31,plain,$false,inference(tab_imp,[status(thm),assumptions([h0]),tab_imp(discharge,[h1]),tab_imp(discharge,[h2])],[fact_10__092_060open_062membermima_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_A_092_060or_062_Anaive__member_A_ItreeList_A_B_Ahigh_Ax_A_Ideg_Adiv_A2_J_J_A_Ilow_Ax_A_Ideg_Adiv_A2_J_J_092_060close_062,15,30,h1,h2])).
% 258.79/258.05 thf(0,theorem,sP2,inference(contra,[status(thm),contra(discharge,[h0])],[31,h0])).
% 258.79/258.05 % SZS output end Proof
%------------------------------------------------------------------------------