TSTP Solution File: LCL952^12 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : LCL952^12 : 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 : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 14:12:09 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL952^12 : 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
% 0.12/0.33 % Computer : n013.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 3 03:41:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 % Mode: mode213
% 0.19/0.41 % Inferences: 11
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 thf(ty_mworld, type, mworld : $tType).
% 0.19/0.41 thf(ty_eigen__6, type, eigen__6 : $i).
% 0.19/0.41 thf(ty_singleton, type, singleton : ($i>$i)).
% 0.19/0.41 thf(ty_eiw_di, type, eiw_di : ($i>mworld>$o)).
% 0.19/0.41 thf(ty_eigen__2, type, eigen__2 : mworld).
% 0.19/0.41 thf(ty_eigen__7, type, eigen__7 : $i).
% 0.19/0.41 thf(ty_eigen__1, type, eigen__1 : $i).
% 0.19/0.41 thf(ty_eigen__0, type, eigen__0 : mworld).
% 0.19/0.41 thf(ty_eigen__4, type, eigen__4 : mworld).
% 0.19/0.41 thf(ty_eigen__5, type, eigen__5 : mworld).
% 0.19/0.41 thf(ty_mrel, type, mrel : (mworld>mworld>$o)).
% 0.19/0.41 thf(ty_eigen__3, type, eigen__3 : $i).
% 0.19/0.41 thf(ty_empty, type, empty : ($i>mworld>$o)).
% 0.19/0.41 thf(ty_set_intersection2, type, set_intersection2 : ($i>$i>$i)).
% 0.19/0.41 thf(ty_mactual, type, mactual : mworld).
% 0.19/0.41 thf(ty_qmltpeq, type, qmltpeq : ($i>$i>mworld>$o)).
% 0.19/0.41 thf(ty_in, type, in : ($i>$i>mworld>$o)).
% 0.19/0.41 thf(sP1,plain,sP1 <=> ((mrel @ eigen__4) @ eigen__5),introduced(definition,[new_symbols(definition,[sP1])])).
% 0.19/0.41 thf(sP2,plain,sP2 <=> ((eiw_di @ eigen__1) @ eigen__0),introduced(definition,[new_symbols(definition,[sP2])])).
% 0.19/0.42 thf(sP3,plain,sP3 <=> (((mrel @ eigen__0) @ eigen__2) => (![X1:$i]:(((eiw_di @ X1) @ eigen__2) => (![X2:mworld]:(((mrel @ eigen__2) @ X2) => ((![X3:mworld]:(((mrel @ X2) @ X3) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ X1))) @ (singleton @ X1)) @ X3))) => (![X3:mworld]:(((mrel @ X2) @ X3) => (((in @ X1) @ eigen__1) @ X3))))))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 0.19/0.42 thf(sP4,plain,sP4 <=> (sP2 => (![X1:mworld]:(((mrel @ eigen__0) @ X1) => (![X2:$i]:(((eiw_di @ X2) @ X1) => (![X3:mworld]:(((mrel @ X1) @ X3) => ((![X4:mworld]:(((mrel @ X3) @ X4) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ X2))) @ (singleton @ X2)) @ X4))) => (![X4:mworld]:(((mrel @ X3) @ X4) => (((in @ X2) @ eigen__1) @ X4))))))))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 0.19/0.42 thf(sP5,plain,sP5 <=> ((eiw_di @ eigen__3) @ eigen__2),introduced(definition,[new_symbols(definition,[sP5])])).
% 0.19/0.42 thf(sP6,plain,sP6 <=> ((mrel @ eigen__0) @ eigen__2),introduced(definition,[new_symbols(definition,[sP6])])).
% 0.19/0.42 thf(sP7,plain,sP7 <=> (sP1 => (((in @ eigen__3) @ eigen__1) @ eigen__5)),introduced(definition,[new_symbols(definition,[sP7])])).
% 0.19/0.42 thf(sP8,plain,sP8 <=> (![X1:mworld]:(((mrel @ eigen__4) @ X1) => (((in @ eigen__3) @ eigen__1) @ X1))),introduced(definition,[new_symbols(definition,[sP8])])).
% 0.19/0.42 thf(sP9,plain,sP9 <=> (![X1:$i]:(((eiw_di @ X1) @ eigen__2) => (![X2:mworld]:(((mrel @ eigen__2) @ X2) => ((![X3:mworld]:(((mrel @ X2) @ X3) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ X1))) @ (singleton @ X1)) @ X3))) => (![X3:mworld]:(((mrel @ X2) @ X3) => (((in @ X1) @ eigen__1) @ X3)))))))),introduced(definition,[new_symbols(definition,[sP9])])).
% 0.19/0.42 thf(sP10,plain,sP10 <=> (![X1:mworld]:(((mrel @ eigen__0) @ X1) => (![X2:$i]:(((eiw_di @ X2) @ X1) => (![X3:mworld]:(((mrel @ X1) @ X3) => ((![X4:mworld]:(((mrel @ X3) @ X4) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ X2))) @ (singleton @ X2)) @ X4))) => (![X4:mworld]:(((mrel @ X3) @ X4) => (((in @ X2) @ eigen__1) @ X4)))))))))),introduced(definition,[new_symbols(definition,[sP10])])).
% 0.19/0.42 thf(sP11,plain,sP11 <=> (sP5 => (![X1:mworld]:(((mrel @ eigen__2) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ eigen__3))) @ (singleton @ eigen__3)) @ X2))) => (![X2:mworld]:(((mrel @ X1) @ X2) => (((in @ eigen__3) @ eigen__1) @ X2))))))),introduced(definition,[new_symbols(definition,[sP11])])).
% 0.19/0.42 thf(sP12,plain,sP12 <=> (![X1:mworld]:(((mrel @ mactual) @ X1) => (![X2:$i]:(((eiw_di @ X2) @ X1) => (![X3:mworld]:(((mrel @ X1) @ X3) => (![X4:$i]:(((eiw_di @ X4) @ X3) => (![X5:mworld]:(((mrel @ X3) @ X5) => ((![X6:mworld]:(((mrel @ X5) @ X6) => (((qmltpeq @ ((set_intersection2 @ X2) @ (singleton @ X4))) @ (singleton @ X4)) @ X6))) => (![X6:mworld]:(((mrel @ X5) @ X6) => (((in @ X4) @ X2) @ X6)))))))))))))),introduced(definition,[new_symbols(definition,[sP12])])).
% 0.19/0.42 thf(sP13,plain,sP13 <=> ((![X1:mworld]:(((mrel @ eigen__4) @ X1) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ eigen__3))) @ (singleton @ eigen__3)) @ X1))) => sP8),introduced(definition,[new_symbols(definition,[sP13])])).
% 0.19/0.42 thf(sP14,plain,sP14 <=> (![X1:mworld]:(((mrel @ eigen__4) @ X1) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ eigen__3))) @ (singleton @ eigen__3)) @ X1))),introduced(definition,[new_symbols(definition,[sP14])])).
% 0.19/0.42 thf(sP15,plain,sP15 <=> (((mrel @ eigen__2) @ eigen__4) => sP13),introduced(definition,[new_symbols(definition,[sP15])])).
% 0.19/0.42 thf(sP16,plain,sP16 <=> (((in @ eigen__3) @ eigen__1) @ eigen__5),introduced(definition,[new_symbols(definition,[sP16])])).
% 0.19/0.42 thf(sP17,plain,sP17 <=> ((mrel @ mactual) @ eigen__0),introduced(definition,[new_symbols(definition,[sP17])])).
% 0.19/0.42 thf(sP18,plain,sP18 <=> (sP17 => (![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (![X2:mworld]:(((mrel @ eigen__0) @ X2) => (![X3:$i]:(((eiw_di @ X3) @ X2) => (![X4:mworld]:(((mrel @ X2) @ X4) => ((![X5:mworld]:(((mrel @ X4) @ X5) => (((qmltpeq @ ((set_intersection2 @ X1) @ (singleton @ X3))) @ (singleton @ X3)) @ X5))) => (![X5:mworld]:(((mrel @ X4) @ X5) => (((in @ X3) @ X1) @ X5))))))))))))),introduced(definition,[new_symbols(definition,[sP18])])).
% 0.19/0.42 thf(sP19,plain,sP19 <=> (![X1:$i]:(((eiw_di @ X1) @ eigen__0) => (![X2:mworld]:(((mrel @ eigen__0) @ X2) => (![X3:$i]:(((eiw_di @ X3) @ X2) => (![X4:mworld]:(((mrel @ X2) @ X4) => ((![X5:mworld]:(((mrel @ X4) @ X5) => (((qmltpeq @ ((set_intersection2 @ X1) @ (singleton @ X3))) @ (singleton @ X3)) @ X5))) => (![X5:mworld]:(((mrel @ X4) @ X5) => (((in @ X3) @ X1) @ X5)))))))))))),introduced(definition,[new_symbols(definition,[sP19])])).
% 0.19/0.42 thf(sP20,plain,sP20 <=> ((mrel @ eigen__2) @ eigen__4),introduced(definition,[new_symbols(definition,[sP20])])).
% 0.19/0.42 thf(sP21,plain,sP21 <=> (![X1:mworld]:(((mrel @ eigen__2) @ X1) => ((![X2:mworld]:(((mrel @ X1) @ X2) => (((qmltpeq @ ((set_intersection2 @ eigen__1) @ (singleton @ eigen__3))) @ (singleton @ eigen__3)) @ X2))) => (![X2:mworld]:(((mrel @ X1) @ X2) => (((in @ eigen__3) @ eigen__1) @ X2)))))),introduced(definition,[new_symbols(definition,[sP21])])).
% 0.19/0.42 thf(def_mlocal,definition,(mlocal = (^[X1:mworld>$o]:(X1 @ mactual)))).
% 0.19/0.42 thf(def_mnot,definition,(mnot = (^[X1:mworld>$o]:(^[X2:mworld]:(~((X1 @ X2))))))).
% 0.19/0.42 thf(def_mand,definition,(mand = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:(~(((X1 @ X3) => (~((X2 @ X3))))))))))).
% 0.19/0.42 thf(def_mor,definition,(mor = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((~((X1 @ X3))) => (X2 @ X3))))))).
% 0.19/0.42 thf(def_mimplies,definition,(mimplies = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) => (X2 @ X3))))))).
% 0.19/0.42 thf(def_mequiv,definition,(mequiv = (^[X1:mworld>$o]:(^[X2:mworld>$o]:(^[X3:mworld]:((X1 @ X3) = (X2 @ X3))))))).
% 0.19/0.42 thf(def_mbox,definition,(mbox = (^[X1:mworld>$o]:(^[X2:mworld]:(![X3:mworld]:(((mrel @ X2) @ X3) => (X1 @ X3))))))).
% 0.19/0.42 thf(def_mdia,definition,(mdia = (^[X1:mworld>$o]:(^[X2:mworld]:(~((![X3:mworld]:(((mrel @ X2) @ X3) => (~((X1 @ X3))))))))))).
% 0.19/0.42 thf(def_mforall_di,definition,(mforall_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(![X3:$i]:(((eiw_di @ X3) @ X2) => ((X1 @ X3) @ X2))))))).
% 0.19/0.42 thf(def_mexists_di,definition,(mexists_di = (^[X1:$i>mworld>$o]:(^[X2:mworld]:(~((![X3:$i]:(((eiw_di @ X3) @ X2) => (~(((X1 @ X3) @ X2))))))))))).
% 0.19/0.42 thf(t51_zfmisc_1,conjecture,sP12).
% 0.19/0.42 thf(h0,negated_conjecture,(~(sP12)),inference(assume_negation,[status(cth)],[t51_zfmisc_1])).
% 0.19/0.42 thf(h1,assumption,(~(sP18)),introduced(assumption,[])).
% 0.19/0.42 thf(h2,assumption,sP17,introduced(assumption,[])).
% 0.19/0.42 thf(h3,assumption,(~(sP19)),introduced(assumption,[])).
% 0.19/0.42 thf(h4,assumption,(~(sP4)),introduced(assumption,[])).
% 0.19/0.42 thf(h5,assumption,sP2,introduced(assumption,[])).
% 0.19/0.42 thf(h6,assumption,(~(sP10)),introduced(assumption,[])).
% 0.19/0.42 thf(h7,assumption,(~(sP3)),introduced(assumption,[])).
% 0.19/0.42 thf(h8,assumption,sP6,introduced(assumption,[])).
% 0.19/0.42 thf(h9,assumption,(~(sP9)),introduced(assumption,[])).
% 0.19/0.42 thf(h10,assumption,(~(sP11)),introduced(assumption,[])).
% 0.19/0.42 thf(h11,assumption,sP5,introduced(assumption,[])).
% 0.19/0.42 thf(h12,assumption,(~(sP21)),introduced(assumption,[])).
% 0.19/0.42 thf(h13,assumption,(~(sP15)),introduced(assumption,[])).
% 0.19/0.42 thf(h14,assumption,sP20,introduced(assumption,[])).
% 0.19/0.42 thf(h15,assumption,(~(sP13)),introduced(assumption,[])).
% 0.19/0.42 thf(h16,assumption,sP14,introduced(assumption,[])).
% 0.19/0.42 thf(h17,assumption,(~(sP8)),introduced(assumption,[])).
% 0.19/0.42 thf(h18,assumption,(~(sP7)),introduced(assumption,[])).
% 0.19/0.42 thf(h19,assumption,sP1,introduced(assumption,[])).
% 0.19/0.42 thf(h20,assumption,(~(sP16)),introduced(assumption,[])).
% 0.19/0.42 thf(h21,assumption,(~((((eiw_di @ eigen__6) @ mactual) => (~((![X1:mworld]:(((mrel @ mactual) @ X1) => ((empty @ eigen__6) @ X1)))))))),introduced(assumption,[])).
% 0.19/0.42 thf(h22,assumption,((eiw_di @ eigen__6) @ mactual),introduced(assumption,[])).
% 0.19/0.42 thf(h23,assumption,(![X1:mworld]:(((mrel @ mactual) @ X1) => ((empty @ eigen__6) @ X1))),introduced(assumption,[])).
% 0.19/0.42 thf(h24,assumption,(~((((eiw_di @ eigen__7) @ mactual) => (~((![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:mworld]:(((mrel @ X1) @ X2) => ((empty @ eigen__7) @ X2)))))))))))),introduced(assumption,[])).
% 0.19/0.42 thf(h25,assumption,((eiw_di @ eigen__7) @ mactual),introduced(assumption,[])).
% 0.19/0.42 thf(h26,assumption,(![X1:mworld]:(((mrel @ mactual) @ X1) => (~((![X2:mworld]:(((mrel @ X1) @ X2) => ((empty @ eigen__7) @ X2))))))),introduced(assumption,[])).
% 0.19/0.42 thf(1,plain,(~(sP8) | sP7),inference(all_rule,[status(thm)],[])).
% 0.19/0.42 thf(2,plain,((~(sP7) | ~(sP1)) | sP16),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(3,plain,(~(sP21) | sP15),inference(all_rule,[status(thm)],[])).
% 0.19/0.42 thf(4,plain,((~(sP15) | ~(sP20)) | sP13),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(5,plain,((~(sP13) | ~(sP14)) | sP8),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(6,plain,(~(sP9) | sP11),inference(all_rule,[status(thm)],[])).
% 0.19/0.42 thf(7,plain,((~(sP11) | ~(sP5)) | sP21),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(8,plain,(~(sP10) | sP3),inference(all_rule,[status(thm)],[])).
% 0.19/0.42 thf(9,plain,((~(sP3) | ~(sP6)) | sP9),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(10,plain,(~(sP19) | sP4),inference(all_rule,[status(thm)],[])).
% 0.19/0.42 thf(11,plain,((~(sP4) | ~(sP2)) | sP10),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(12,plain,(~(sP12) | sP18),inference(all_rule,[status(thm)],[])).
% 0.19/0.42 thf(13,plain,((~(sP18) | ~(sP17)) | sP19),inference(prop_rule,[status(thm)],[])).
% 0.19/0.42 thf(l30_zfmisc_1,axiom,(mlocal @ (mbox @ (mforall_di @ (^[X1:$i]:(mbox @ (mforall_di @ (^[X2:$i]:(mbox @ ((mimplies @ (mbox @ ((qmltpeq @ ((set_intersection2 @ X1) @ (singleton @ X2))) @ (singleton @ X2)))) @ (mbox @ ((in @ X2) @ X1)))))))))))).
% 0.19/0.42 thf(14,plain,sP12,inference(preprocess,[status(thm)],[l30_zfmisc_1]).
% 0.19/0.42 thf(15,plain,$false,inference(prop_unsat,[status(thm),assumptions([h25,h26,h24,h22,h23,h21,h19,h20,h18,h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0])],[1,2,3,4,5,6,7,8,9,10,11,12,13,14,h2,h5,h8,h11,h14,h16,h19,h20])).
% 0.19/0.42 thf(16,plain,$false,inference(tab_negimp,[status(thm),assumptions([h24,h22,h23,h21,h19,h20,h18,h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h25,h26])],[h24,15,h25,h26])).
% 0.19/0.42 thf(rc2_xboole_0,axiom,(mlocal @ (mexists_di @ (^[X1:$i]:(mbox @ (mnot @ (mbox @ (empty @ X1)))))))).
% 0.19/0.42 thf(17,plain,(~((![X1:$i]:(((eiw_di @ X1) @ mactual) => (~((![X2:mworld]:(((mrel @ mactual) @ X2) => (~((![X3:mworld]:(((mrel @ X2) @ X3) => ((empty @ X1) @ X3))))))))))))),inference(preprocess,[status(thm)],[rc2_xboole_0]).
% 0.19/0.42 thf(18,plain,$false,inference(tab_negall,[status(thm),assumptions([h22,h23,h21,h19,h20,h18,h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negall(discharge,[h24]),tab_negall(eigenvar,eigen__7)],[17,16,h24])).
% 0.19/0.42 thf(19,plain,$false,inference(tab_negimp,[status(thm),assumptions([h21,h19,h20,h18,h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h22,h23])],[h21,18,h22,h23])).
% 0.19/0.42 thf(rc1_xboole_0,axiom,(mlocal @ (mexists_di @ (^[X1:$i]:(mbox @ (empty @ X1)))))).
% 0.19/0.42 thf(20,plain,(~((![X1:$i]:(((eiw_di @ X1) @ mactual) => (~((![X2:mworld]:(((mrel @ mactual) @ X2) => ((empty @ X1) @ X2))))))))),inference(preprocess,[status(thm)],[rc1_xboole_0]).
% 0.19/0.42 thf(21,plain,$false,inference(tab_negall,[status(thm),assumptions([h19,h20,h18,h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negall(discharge,[h21]),tab_negall(eigenvar,eigen__6)],[20,19,h21])).
% 0.19/0.42 thf(22,plain,$false,inference(tab_negimp,[status(thm),assumptions([h18,h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h19,h20])],[h18,21,h19,h20])).
% 0.19/0.42 thf(23,plain,$false,inference(tab_negall,[status(thm),assumptions([h16,h17,h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negall(discharge,[h18]),tab_negall(eigenvar,eigen__5)],[h17,22,h18])).
% 0.19/0.42 thf(24,plain,$false,inference(tab_negimp,[status(thm),assumptions([h14,h15,h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h16,h17])],[h15,23,h16,h17])).
% 0.19/0.42 thf(25,plain,$false,inference(tab_negimp,[status(thm),assumptions([h13,h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h14,h15])],[h13,24,h14,h15])).
% 0.19/0.42 thf(26,plain,$false,inference(tab_negall,[status(thm),assumptions([h11,h12,h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__4)],[h12,25,h13])).
% 0.19/0.42 thf(27,plain,$false,inference(tab_negimp,[status(thm),assumptions([h10,h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h11,h12])],[h10,26,h11,h12])).
% 0.19/0.42 thf(28,plain,$false,inference(tab_negall,[status(thm),assumptions([h8,h9,h7,h5,h6,h4,h2,h3,h1,h0]),tab_negall(discharge,[h10]),tab_negall(eigenvar,eigen__3)],[h9,27,h10])).
% 0.19/0.42 thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h7,h5,h6,h4,h2,h3,h1,h0]),tab_negimp(discharge,[h8,h9])],[h7,28,h8,h9])).
% 0.19/0.42 thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h5,h6,h4,h2,h3,h1,h0]),tab_negall(discharge,[h7]),tab_negall(eigenvar,eigen__2)],[h6,29,h7])).
% 0.19/0.42 thf(31,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h2,h3,h1,h0]),tab_negimp(discharge,[h5,h6])],[h4,30,h5,h6])).
% 0.19/0.42 thf(32,plain,$false,inference(tab_negall,[status(thm),assumptions([h2,h3,h1,h0]),tab_negall(discharge,[h4]),tab_negall(eigenvar,eigen__1)],[h3,31,h4])).
% 0.19/0.42 thf(33,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,32,h2,h3])).
% 0.19/0.42 thf(34,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[h0,33,h1])).
% 0.19/0.42 thf(0,theorem,sP12,inference(contra,[status(thm),contra(discharge,[h0])],[34,h0])).
% 0.19/0.42 % SZS output end Proof
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