%------------------------------------------------------------------------------
% File     : Satallax---3.5
% Problem  : ITP111^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s

% Computer : n020.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 00:29:09 EDT 2022

% Result   : Theorem 22.94s 22.95s
% Output   : Proof 22.94s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : ITP111^1 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12  % Command  : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.11/0.32  % Computer : n020.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Thu Jun  2 15:26:53 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 22.94/22.95  % SZS status Theorem
% 22.94/22.95  % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 22.94/22.95  % Inferences: 144
% 22.94/22.95  % SZS output start Proof
% 22.94/22.95  thf(ty_a, type, a : $tType).
% 22.94/22.95  thf(ty_extended_ereal, type, extended_ereal : $tType).
% 22.94/22.95  thf(ty_set_a, type, set_a : $tType).
% 22.94/22.95  thf(ty_eigen__14, type, eigen__14 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__6, type, eigen__6 : extended_ereal).
% 22.94/22.95  thf(ty_member_a, type, member_a : (a>set_a>$o)).
% 22.94/22.95  thf(ty_eigen__34, type, eigen__34 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__12, type, eigen__12 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__2, type, eigen__2 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__16, type, eigen__16 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__25, type, eigen__25 : extended_ereal).
% 22.94/22.95  thf(ty_ord_le2001149050_ereal, type, ord_le2001149050_ereal : (extended_ereal>extended_ereal>$o)).
% 22.94/22.95  thf(ty_eigen__7, type, eigen__7 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__30, type, eigen__30 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__24, type, eigen__24 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__15, type, eigen__15 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__1, type, eigen__1 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__0, type, eigen__0 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__32, type, eigen__32 : extended_ereal).
% 22.94/22.95  thf(ty_lower_191460856_ereal, type, lower_191460856_ereal : (a>(a>extended_ereal)>$o)).
% 22.94/22.95  thf(ty_eigen__21, type, eigen__21 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__26, type, eigen__26 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__4, type, eigen__4 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__33, type, eigen__33 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__27, type, eigen__27 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__5, type, eigen__5 : extended_ereal).
% 22.94/22.95  thf(ty_extend1289208545_ereal, type, extend1289208545_ereal : extended_ereal).
% 22.94/22.95  thf(ty_x0, type, x0 : a).
% 22.94/22.95  thf(ty_eigen__29, type, eigen__29 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__19, type, eigen__19 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__11, type, eigen__11 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__3, type, eigen__3 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__17, type, eigen__17 : extended_ereal).
% 22.94/22.95  thf(ty_topolo1276428101open_a, type, topolo1276428101open_a : (set_a>$o)).
% 22.94/22.95  thf(ty_eigen__10, type, eigen__10 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__8, type, eigen__8 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__13, type, eigen__13 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__20, type, eigen__20 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__9, type, eigen__9 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__28, type, eigen__28 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__18, type, eigen__18 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__22, type, eigen__22 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__23, type, eigen__23 : extended_ereal).
% 22.94/22.95  thf(ty_eigen__31, type, eigen__31 : extended_ereal).
% 22.94/22.95  thf(ty_uminus1208298309_ereal, type, uminus1208298309_ereal : (extended_ereal>extended_ereal)).
% 22.94/22.95  thf(ty_f, type, f : (a>extended_ereal)).
% 22.94/22.95  thf(sP1,plain,sP1 <=> ((f @ x0) = (uminus1208298309_ereal @ extend1289208545_ereal)),introduced(definition,[new_symbols(definition,[sP1])])).
% 22.94/22.95  thf(sP2,plain,sP2 <=> ((ord_le2001149050_ereal @ eigen__30) @ (f @ x0)),introduced(definition,[new_symbols(definition,[sP2])])).
% 22.94/22.95  thf(sP3,plain,sP3 <=> (sP2 => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__30) @ (f @ X2))))))))))),introduced(definition,[new_symbols(definition,[sP3])])).
% 22.94/22.95  thf(sP4,plain,sP4 <=> (![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__30) @ (f @ X2)))))))),introduced(definition,[new_symbols(definition,[sP4])])).
% 22.94/22.95  thf(sP5,plain,sP5 <=> (![X1:extended_ereal]:(((ord_le2001149050_ereal @ X1) @ (f @ x0)) => (~((![X2:set_a]:((~(((topolo1276428101open_a @ X2) => (~(((member_a @ x0) @ X2)))))) => (~((![X3:a]:(((member_a @ X3) @ X2) => ((ord_le2001149050_ereal @ X1) @ (f @ X3)))))))))))),introduced(definition,[new_symbols(definition,[sP5])])).
% 22.94/22.95  thf(sP6,plain,sP6 <=> ((f @ x0) = extend1289208545_ereal),introduced(definition,[new_symbols(definition,[sP6])])).
% 22.94/22.95  thf(sP7,plain,sP7 <=> ((lower_191460856_ereal @ x0) @ f),introduced(definition,[new_symbols(definition,[sP7])])).
% 22.94/22.95  thf(conj_0,conjecture,(~((sP7 = (~(sP5)))))).
% 22.94/22.95  thf(h0,negated_conjecture,(sP7 = (~(sP5))),inference(assume_negation,[status(cth)],[conj_0])).
% 22.94/22.95  thf(h1,assumption,sP7,introduced(assumption,[])).
% 22.94/22.95  thf(h2,assumption,(~(sP5)),introduced(assumption,[])).
% 22.94/22.95  thf(h3,assumption,(~(sP7)),introduced(assumption,[])).
% 22.94/22.95  thf(h4,assumption,sP5,introduced(assumption,[])).
% 22.94/22.95  thf(h5,assumption,(~((((ord_le2001149050_ereal @ eigen__0) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__0) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h6,assumption,((ord_le2001149050_ereal @ eigen__0) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h7,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__0) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h8,assumption,sP1,introduced(assumption,[])).
% 22.94/22.95  thf(h9,assumption,((~(sP6)) => (sP7 = sP5)),introduced(assumption,[])).
% 22.94/22.95  thf(h10,assumption,(~(sP1)),introduced(assumption,[])).
% 22.94/22.95  thf(h11,assumption,(sP7 = sP5),introduced(assumption,[])).
% 22.94/22.95  thf(h12,assumption,(~(sP6)),introduced(assumption,[])).
% 22.94/22.95  thf(1,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h10,h8,h6,h7,h5,h1,h2,h0])],[h8,h10])).
% 22.94/22.95  thf(2,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h10,h8,h6,h7,h5,h1,h2,h0])],[h8,h10])).
% 22.94/22.95  thf(h13,assumption,(~((((ord_le2001149050_ereal @ eigen__1) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__1) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h14,assumption,((ord_le2001149050_ereal @ eigen__1) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h15,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__1) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(3,plain,$false,inference(tab_conflict,[status(thm),assumptions([h14,h15,h13,h3,h2,h11,h10,h8,h6,h7,h5,h1,h2,h0])],[h8,h10])).
% 22.94/22.95  thf(4,plain,$false,inference(tab_negimp,[status(thm),assumptions([h13,h3,h2,h11,h10,h8,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h14,h15])],[h13,3,h14,h15])).
% 22.94/22.95  thf(5,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h8,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h13]),tab_negall(eigenvar,eigen__1)],[h2,4,h13])).
% 22.94/22.95  thf(6,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h8,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,2,5,h1,h4,h3,h2])).
% 22.94/22.95  thf(fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,(sP6 => (sP7 = sP5))).
% 22.94/22.95  thf(7,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h8,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,1,6,h12,h11])).
% 22.94/22.95  thf(pax2, axiom, (p2=>(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), file('<stdin>', pax2)).
% 22.94/22.95  thf(pax27, axiom, (p27=>![X5:extended_ereal]:~(ford_le2001149050_ereal @ X5 @ (fuminus1208298309_ereal @ fextend1289208545_ereal))), file('<stdin>', pax27)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax76, axiom, p2, file('<stdin>', ax76)).
% 22.94/22.95  thf(ax55, axiom, p27, file('<stdin>', ax55)).
% 22.94/22.95  thf(ax7, axiom, p75, file('<stdin>', ax7)).
% 22.94/22.95  thf(c_0_6, plain, (~p2|(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax2])).
% 22.94/22.95  thf(c_0_7, plain, ![X216:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X216 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax27])])])])).
% 22.94/22.95  thf(c_0_8, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_9, plain, ((ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)|~p2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_10, plain, p2, inference(split_conjunct,[status(thm)],[ax76])).
% 22.94/22.95  thf(c_0_11, plain, ![X1:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X1 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_12, plain, p27, inference(split_conjunct,[status(thm)],[ax55])).
% 22.94/22.95  thf(c_0_13, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_14, plain, (ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 22.94/22.95  thf(c_0_15, plain, p75, inference(split_conjunct,[status(thm)],[ax7])).
% 22.94/22.95  thf(c_0_16, plain, ![X1:extended_ereal]:~ford_le2001149050_ereal @ X1 @ (fuminus1208298309_ereal @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 22.94/22.95  thf(c_0_17, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), c_0_16]), ['proof']).
% 22.94/22.95  thf(8,plain,$false,inference(eprover,[status(thm),assumptions([h12,h1,h4,h11,h8,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(pax2, axiom, (p2=>(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), file('<stdin>', pax2)).
% 22.94/22.95  thf(pax27, axiom, (p27=>![X5:extended_ereal]:~(ford_le2001149050_ereal @ X5 @ (fuminus1208298309_ereal @ fextend1289208545_ereal))), file('<stdin>', pax27)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax86, axiom, p2, file('<stdin>', ax86)).
% 22.94/22.95  thf(ax65, axiom, p27, file('<stdin>', ax65)).
% 22.94/22.95  thf(ax17, axiom, p75, file('<stdin>', ax17)).
% 22.94/22.95  thf(c_0_6, plain, (~p2|(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax2])).
% 22.94/22.95  thf(c_0_7, plain, ![X256:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X256 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax27])])])])).
% 22.94/22.95  thf(c_0_8, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_9, plain, ((ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)|~p2), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_10, plain, p2, inference(split_conjunct,[status(thm)],[ax86])).
% 22.94/22.95  thf(c_0_11, plain, ![X1:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X1 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_12, plain, p27, inference(split_conjunct,[status(thm)],[ax65])).
% 22.94/22.95  thf(c_0_13, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_14, plain, (ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 22.94/22.95  thf(c_0_15, plain, p75, inference(split_conjunct,[status(thm)],[ax17])).
% 22.94/22.95  thf(c_0_16, plain, ![X1:extended_ereal]:~ford_le2001149050_ereal @ X1 @ (fuminus1208298309_ereal @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 22.94/22.95  thf(c_0_17, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15])]), c_0_16]), ['proof']).
% 22.94/22.95  thf(9,plain,$false,inference(eprover,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h8,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(h16,assumption,(~((((ord_le2001149050_ereal @ eigen__2) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__2) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h17,assumption,((ord_le2001149050_ereal @ eigen__2) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h18,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__2) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(10,plain,$false,inference(tab_conflict,[status(thm),assumptions([h17,h18,h16,h3,h2,h11,h1,h4,h11,h8,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(11,plain,$false,inference(tab_negimp,[status(thm),assumptions([h16,h3,h2,h11,h1,h4,h11,h8,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h17,h18])],[h16,10,h17,h18])).
% 22.94/22.95  thf(12,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h8,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h16]),tab_negall(eigenvar,eigen__2)],[h2,11,h16])).
% 22.94/22.95  thf(13,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h8,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,9,12,h1,h4,h3,h2])).
% 22.94/22.95  thf(14,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h8,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,8,13,h12,h11])).
% 22.94/22.95  thf(h19,assumption,(~((((ord_le2001149050_ereal @ eigen__3) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__3) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h20,assumption,((ord_le2001149050_ereal @ eigen__3) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h21,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__3) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(15,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(16,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(h22,assumption,(~((((ord_le2001149050_ereal @ eigen__4) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__4) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h23,assumption,((ord_le2001149050_ereal @ eigen__4) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h24,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__4) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(17,plain,$false,inference(tab_conflict,[status(thm),assumptions([h23,h24,h22,h3,h2,h11,h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(18,plain,$false,inference(tab_negimp,[status(thm),assumptions([h22,h3,h2,h11,h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h23,h24])],[h22,17,h23,h24])).
% 22.94/22.95  thf(19,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h22]),tab_negall(eigenvar,eigen__4)],[h2,18,h22])).
% 22.94/22.95  thf(20,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,16,19,h1,h4,h3,h2])).
% 22.94/22.95  thf(21,plain,$false,inference(tab_imp,[status(thm),assumptions([h20,h21,h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,15,20,h12,h11])).
% 22.94/22.95  thf(22,plain,$false,inference(tab_negimp,[status(thm),assumptions([h19,h3,h2,h11,h8,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h20,h21])],[h19,21,h20,h21])).
% 22.94/22.95  thf(23,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h8,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h19]),tab_negall(eigenvar,eigen__3)],[h2,22,h19])).
% 22.94/22.95  thf(24,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h8,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,14,23,h1,h4,h3,h2])).
% 22.94/22.95  thf(fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,(sP1 => (sP7 = sP5))).
% 22.94/22.95  thf(25,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,7,24,h10,h11])).
% 22.94/22.95  thf(h25,assumption,sP6,introduced(assumption,[])).
% 22.94/22.95  thf(26,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h10,h25,h9,h6,h7,h5,h1,h2,h0])],[h25,h12])).
% 22.94/22.95  thf(pax1, axiom, (p1=>(ff @ fx0)=(fextend1289208545_ereal)), file('<stdin>', pax1)).
% 22.94/22.95  thf(pax3, axiom, (p3=>![X28:extended_ereal]:(ford_le2001149050_ereal @ X28 @ (ff @ fx0)=>~(![X29:set_a]:(~((ftopolo1276428101open_a @ X29=>~(fmember_a @ fx0 @ X29)))=>~(![X30:a]:(fmember_a @ X30 @ X29=>ford_le2001149050_ereal @ X28 @ (ff @ X30))))))), file('<stdin>', pax3)).
% 22.94/22.95  thf(ax96, axiom, p1, file('<stdin>', ax96)).
% 22.94/22.95  thf(pax74, axiom, (p74=>![X8:set_a]:(~((ftopolo1276428101open_a @ X8=>~(fmember_a @ fx0 @ X8)))=>~(![X9:a]:(fmember_a @ X9 @ X8=>ford_le2001149050_ereal @ f__0 @ (ff @ X9))))), file('<stdin>', pax74)).
% 22.94/22.95  thf(ax99, axiom, p3, file('<stdin>', ax99)).
% 22.94/22.95  thf(ax28, axiom, p74, file('<stdin>', ax28)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax27, axiom, p75, file('<stdin>', ax27)).
% 22.94/22.95  thf(c_0_8, plain, (~p1|(ff @ fx0)=(fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax1])).
% 22.94/22.95  thf(c_0_9, plain, ![X370:extended_ereal, X372:a]:(((ftopolo1276428101open_a @ (esk171_1 @ X370)|~ford_le2001149050_ereal @ X370 @ (ff @ fx0)|~p3)&(fmember_a @ fx0 @ (esk171_1 @ X370)|~ford_le2001149050_ereal @ X370 @ (ff @ fx0)|~p3))&(~fmember_a @ X372 @ (esk171_1 @ X370)|ford_le2001149050_ereal @ X370 @ (ff @ X372)|~ford_le2001149050_ereal @ X370 @ (ff @ fx0)|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])])).
% 22.94/22.95  thf(c_0_10, plain, ((ff @ fx0)=(fextend1289208545_ereal)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax96])).
% 22.94/22.95  thf(c_0_12, plain, ![X157:set_a]:((fmember_a @ (esk64_1 @ X157) @ X157|(~ftopolo1276428101open_a @ X157|~fmember_a @ fx0 @ X157)|~p74)&(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk64_1 @ X157))|(~ftopolo1276428101open_a @ X157|~fmember_a @ fx0 @ X157)|~p74)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax74])])])])])])).
% 22.94/22.95  thf(c_0_13, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk171_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_14, plain, p3, inference(split_conjunct,[status(thm)],[ax99])).
% 22.94/22.95  thf(c_0_15, plain, (ff @ fx0)=(fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_16, plain, ![X4:set_a]:(fmember_a @ (esk64_1 @ X4) @ X4|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_12])).
% 22.94/22.95  thf(c_0_17, plain, p74, inference(split_conjunct,[status(thm)],[ax28])).
% 22.94/22.95  thf(c_0_18, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk171_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_19, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk171_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_20, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_21, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk64_1 @ X4))|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_12])).
% 22.94/22.95  thf(c_0_22, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk171_1 @ X1)|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15])])).
% 22.94/22.95  thf(c_0_23, plain, ![X4:set_a]:(fmember_a @ (esk64_1 @ X4) @ X4|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 22.94/22.95  thf(c_0_24, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk171_1 @ X1)|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_14]), c_0_15])])).
% 22.94/22.95  thf(c_0_25, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk171_1 @ X1)|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_14]), c_0_15])])).
% 22.94/22.95  thf(c_0_26, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_20])).
% 22.94/22.95  thf(c_0_27, plain, p75, inference(split_conjunct,[status(thm)],[ax27])).
% 22.94/22.95  thf(c_0_28, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk64_1 @ X4))|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_17])])).
% 22.94/22.95  thf(c_0_29, plain, ![X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ (esk64_1 @ (esk171_1 @ X1)))|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25])).
% 22.94/22.95  thf(c_0_30, plain, ford_le2001149050_ereal @ f__0 @ fextend1289208545_ereal, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_15]), c_0_27])])).
% 22.94/22.95  thf(c_0_31, plain, (~fmember_a @ fx0 @ (esk171_1 @ f__0)|~ftopolo1276428101open_a @ (esk171_1 @ f__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
% 22.94/22.95  thf(c_0_32, plain, ~fmember_a @ fx0 @ (esk171_1 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_24]), c_0_30])])).
% 22.94/22.95  thf(c_0_33, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_25]), c_0_30])]), ['proof']).
% 22.94/22.95  thf(27,plain,$false,inference(eprover,[status(thm),assumptions([h1,h4,h11,h10,h25,h9,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(h26,assumption,(~((((ord_le2001149050_ereal @ eigen__5) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__5) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h27,assumption,((ord_le2001149050_ereal @ eigen__5) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h28,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__5) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(28,plain,$false,inference(tab_conflict,[status(thm),assumptions([h27,h28,h26,h3,h2,h11,h10,h25,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(29,plain,$false,inference(tab_negimp,[status(thm),assumptions([h26,h3,h2,h11,h10,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h27,h28])],[h26,28,h27,h28])).
% 22.94/22.95  thf(30,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h26]),tab_negall(eigenvar,eigen__5)],[h2,29,h26])).
% 22.94/22.95  thf(31,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h25,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,27,30,h1,h4,h3,h2])).
% 22.94/22.95  thf(32,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h25,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,26,31,h12,h11])).
% 22.94/22.95  thf(33,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0])],[h25,h12])).
% 22.94/22.95  thf(pax1, axiom, (p1=>(ff @ fx0)=(fextend1289208545_ereal)), file('<stdin>', pax1)).
% 22.94/22.95  thf(pax3, axiom, (p3=>![X32:extended_ereal]:(ford_le2001149050_ereal @ X32 @ (ff @ fx0)=>~(![X33:set_a]:(~((ftopolo1276428101open_a @ X33=>~(fmember_a @ fx0 @ X33)))=>~(![X34:a]:(fmember_a @ X34 @ X33=>ford_le2001149050_ereal @ X32 @ (ff @ X34))))))), file('<stdin>', pax3)).
% 22.94/22.95  thf(ax106, axiom, p1, file('<stdin>', ax106)).
% 22.94/22.95  thf(pax74, axiom, (p74=>![X12:set_a]:(~((ftopolo1276428101open_a @ X12=>~(fmember_a @ fx0 @ X12)))=>~(![X13:a]:(fmember_a @ X13 @ X12=>ford_le2001149050_ereal @ f__0 @ (ff @ X13))))), file('<stdin>', pax74)).
% 22.94/22.95  thf(ax108, axiom, p3, file('<stdin>', ax108)).
% 22.94/22.95  thf(ax38, axiom, p74, file('<stdin>', ax38)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax37, axiom, p75, file('<stdin>', ax37)).
% 22.94/22.95  thf(c_0_8, plain, (~p1|(ff @ fx0)=(fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax1])).
% 22.94/22.95  thf(c_0_9, plain, ![X432:extended_ereal, X434:a]:(((ftopolo1276428101open_a @ (esk200_1 @ X432)|~ford_le2001149050_ereal @ X432 @ (ff @ fx0)|~p3)&(fmember_a @ fx0 @ (esk200_1 @ X432)|~ford_le2001149050_ereal @ X432 @ (ff @ fx0)|~p3))&(~fmember_a @ X434 @ (esk200_1 @ X432)|ford_le2001149050_ereal @ X432 @ (ff @ X434)|~ford_le2001149050_ereal @ X432 @ (ff @ fx0)|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])])).
% 22.94/22.95  thf(c_0_10, plain, ((ff @ fx0)=(fextend1289208545_ereal)|~p1), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_11, plain, p1, inference(split_conjunct,[status(thm)],[ax106])).
% 22.94/22.95  thf(c_0_12, plain, ![X219:set_a]:((fmember_a @ (esk93_1 @ X219) @ X219|(~ftopolo1276428101open_a @ X219|~fmember_a @ fx0 @ X219)|~p74)&(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk93_1 @ X219))|(~ftopolo1276428101open_a @ X219|~fmember_a @ fx0 @ X219)|~p74)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax74])])])])])])).
% 22.94/22.95  thf(c_0_13, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk200_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_14, plain, p3, inference(split_conjunct,[status(thm)],[ax108])).
% 22.94/22.95  thf(c_0_15, plain, (ff @ fx0)=(fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_16, plain, ![X4:set_a]:(fmember_a @ (esk93_1 @ X4) @ X4|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_12])).
% 22.94/22.95  thf(c_0_17, plain, p74, inference(split_conjunct,[status(thm)],[ax38])).
% 22.94/22.95  thf(c_0_18, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk200_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_19, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk200_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_20, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_21, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk93_1 @ X4))|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_12])).
% 22.94/22.95  thf(c_0_22, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk200_1 @ X1)|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14]), c_0_15])])).
% 22.94/22.95  thf(c_0_23, plain, ![X4:set_a]:(fmember_a @ (esk93_1 @ X4) @ X4|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 22.94/22.95  thf(c_0_24, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk200_1 @ X1)|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_14]), c_0_15])])).
% 22.94/22.95  thf(c_0_25, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk200_1 @ X1)|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_14]), c_0_15])])).
% 22.94/22.95  thf(c_0_26, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_20])).
% 22.94/22.95  thf(c_0_27, plain, p75, inference(split_conjunct,[status(thm)],[ax37])).
% 22.94/22.95  thf(c_0_28, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk93_1 @ X4))|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_17])])).
% 22.94/22.95  thf(c_0_29, plain, ![X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ (esk93_1 @ (esk200_1 @ X1)))|~ford_le2001149050_ereal @ X1 @ fextend1289208545_ereal), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24]), c_0_25])).
% 22.94/22.95  thf(c_0_30, plain, ford_le2001149050_ereal @ f__0 @ fextend1289208545_ereal, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_15]), c_0_27])])).
% 22.94/22.95  thf(c_0_31, plain, (~fmember_a @ fx0 @ (esk200_1 @ f__0)|~ftopolo1276428101open_a @ (esk200_1 @ f__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
% 22.94/22.95  thf(c_0_32, plain, ~fmember_a @ fx0 @ (esk200_1 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_31, c_0_24]), c_0_30])])).
% 22.94/22.95  thf(c_0_33, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_32, c_0_25]), c_0_30])]), ['proof']).
% 22.94/22.95  thf(34,plain,$false,inference(eprover,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(h29,assumption,(~((((ord_le2001149050_ereal @ eigen__6) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__6) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h30,assumption,((ord_le2001149050_ereal @ eigen__6) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h31,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__6) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(35,plain,$false,inference(tab_conflict,[status(thm),assumptions([h30,h31,h29,h3,h2,h11,h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(36,plain,$false,inference(tab_negimp,[status(thm),assumptions([h29,h3,h2,h11,h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h30,h31])],[h29,35,h30,h31])).
% 22.94/22.95  thf(37,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h29]),tab_negall(eigenvar,eigen__6)],[h2,36,h29])).
% 22.94/22.95  thf(38,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,34,37,h1,h4,h3,h2])).
% 22.94/22.95  thf(39,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,33,38,h12,h11])).
% 22.94/22.95  thf(h32,assumption,(~((((ord_le2001149050_ereal @ eigen__7) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__7) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h33,assumption,((ord_le2001149050_ereal @ eigen__7) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h34,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__7) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(40,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0])],[h25,h12])).
% 22.94/22.95  thf(41,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(h35,assumption,(~((((ord_le2001149050_ereal @ eigen__8) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__8) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h36,assumption,((ord_le2001149050_ereal @ eigen__8) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h37,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__8) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(42,plain,$false,inference(tab_conflict,[status(thm),assumptions([h36,h37,h35,h3,h2,h11,h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(43,plain,$false,inference(tab_negimp,[status(thm),assumptions([h35,h3,h2,h11,h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h36,h37])],[h35,42,h36,h37])).
% 22.94/22.95  thf(44,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h35]),tab_negall(eigenvar,eigen__8)],[h2,43,h35])).
% 22.94/22.95  thf(45,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,41,44,h1,h4,h3,h2])).
% 22.94/22.95  thf(46,plain,$false,inference(tab_imp,[status(thm),assumptions([h33,h34,h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,40,45,h12,h11])).
% 22.94/22.95  thf(47,plain,$false,inference(tab_negimp,[status(thm),assumptions([h32,h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h33,h34])],[h32,46,h33,h34])).
% 22.94/22.95  thf(48,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h32]),tab_negall(eigenvar,eigen__7)],[h2,47,h32])).
% 22.94/22.95  thf(49,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h25,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,39,48,h1,h4,h3,h2])).
% 22.94/22.95  thf(50,plain,$false,inference(tab_imp,[status(thm),assumptions([h25,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,32,49,h10,h11])).
% 22.94/22.95  thf(pax3, axiom, (p3=>![X36:extended_ereal]:(ford_le2001149050_ereal @ X36 @ (ff @ fx0)=>~(![X37:set_a]:(~((ftopolo1276428101open_a @ X37=>~(fmember_a @ fx0 @ X37)))=>~(![X38:a]:(fmember_a @ X38 @ X37=>ford_le2001149050_ereal @ X36 @ (ff @ X38))))))), file('<stdin>', pax3)).
% 22.94/22.95  thf(pax74, axiom, (p74=>![X16:set_a]:(~((ftopolo1276428101open_a @ X16=>~(fmember_a @ fx0 @ X16)))=>~(![X17:a]:(fmember_a @ X17 @ X16=>ford_le2001149050_ereal @ f__0 @ (ff @ X17))))), file('<stdin>', pax74)).
% 22.94/22.95  thf(ax113, axiom, p3, file('<stdin>', ax113)).
% 22.94/22.95  thf(ax44, axiom, p74, file('<stdin>', ax44)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax43, axiom, p75, file('<stdin>', ax43)).
% 22.94/22.95  thf(c_0_6, plain, ![X490:extended_ereal, X492:a]:(((ftopolo1276428101open_a @ (esk227_1 @ X490)|~ford_le2001149050_ereal @ X490 @ (ff @ fx0)|~p3)&(fmember_a @ fx0 @ (esk227_1 @ X490)|~ford_le2001149050_ereal @ X490 @ (ff @ fx0)|~p3))&(~fmember_a @ X492 @ (esk227_1 @ X490)|ford_le2001149050_ereal @ X490 @ (ff @ X492)|~ford_le2001149050_ereal @ X490 @ (ff @ fx0)|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])])).
% 22.94/22.95  thf(c_0_7, plain, ![X277:set_a]:((fmember_a @ (esk120_1 @ X277) @ X277|(~ftopolo1276428101open_a @ X277|~fmember_a @ fx0 @ X277)|~p74)&(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk120_1 @ X277))|(~ftopolo1276428101open_a @ X277|~fmember_a @ fx0 @ X277)|~p74)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax74])])])])])])).
% 22.94/22.95  thf(c_0_8, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk227_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_9, plain, p3, inference(split_conjunct,[status(thm)],[ax113])).
% 22.94/22.95  thf(c_0_10, plain, ![X4:set_a]:(fmember_a @ (esk120_1 @ X4) @ X4|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_11, plain, p74, inference(split_conjunct,[status(thm)],[ax44])).
% 22.94/22.95  thf(c_0_12, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk227_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_13, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk227_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_14, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_15, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk120_1 @ X4))|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_16, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~fmember_a @ X5 @ (esk227_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])])).
% 22.94/22.95  thf(c_0_17, plain, ![X4:set_a]:(fmember_a @ (esk120_1 @ X4) @ X4|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_18, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk227_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_9])])).
% 22.94/22.95  thf(c_0_19, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk227_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_9])])).
% 22.94/22.95  thf(c_0_20, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_21, plain, p75, inference(split_conjunct,[status(thm)],[ax43])).
% 22.94/22.95  thf(c_0_22, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk120_1 @ X4))|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])])).
% 22.94/22.95  thf(c_0_23, plain, ![X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ (esk120_1 @ (esk227_1 @ X1)))|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])).
% 22.94/22.95  thf(c_0_24, plain, ford_le2001149050_ereal @ f__0 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 22.94/22.95  thf(c_0_25, plain, (~fmember_a @ fx0 @ (esk227_1 @ f__0)|~ftopolo1276428101open_a @ (esk227_1 @ f__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 22.94/22.95  thf(c_0_26, plain, ~fmember_a @ fx0 @ (esk227_1 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_19]), c_0_24])]), ['proof']).
% 22.94/22.95  thf(51,plain,$false,inference(eprover,[status(thm),assumptions([h12,h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(pax3, axiom, (p3=>![X36:extended_ereal]:(ford_le2001149050_ereal @ X36 @ (ff @ fx0)=>~(![X37:set_a]:(~((ftopolo1276428101open_a @ X37=>~(fmember_a @ fx0 @ X37)))=>~(![X38:a]:(fmember_a @ X38 @ X37=>ford_le2001149050_ereal @ X36 @ (ff @ X38))))))), file('<stdin>', pax3)).
% 22.94/22.95  thf(pax74, axiom, (p74=>![X16:set_a]:(~((ftopolo1276428101open_a @ X16=>~(fmember_a @ fx0 @ X16)))=>~(![X17:a]:(fmember_a @ X17 @ X16=>ford_le2001149050_ereal @ f__0 @ (ff @ X17))))), file('<stdin>', pax74)).
% 22.94/22.95  thf(ax128, axiom, p3, file('<stdin>', ax128)).
% 22.94/22.95  thf(ax58, axiom, p74, file('<stdin>', ax58)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax57, axiom, p75, file('<stdin>', ax57)).
% 22.94/22.95  thf(c_0_6, plain, ![X550:extended_ereal, X552:a]:(((ftopolo1276428101open_a @ (esk257_1 @ X550)|~ford_le2001149050_ereal @ X550 @ (ff @ fx0)|~p3)&(fmember_a @ fx0 @ (esk257_1 @ X550)|~ford_le2001149050_ereal @ X550 @ (ff @ fx0)|~p3))&(~fmember_a @ X552 @ (esk257_1 @ X550)|ford_le2001149050_ereal @ X550 @ (ff @ X552)|~ford_le2001149050_ereal @ X550 @ (ff @ fx0)|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])])).
% 22.94/22.95  thf(c_0_7, plain, ![X337:set_a]:((fmember_a @ (esk150_1 @ X337) @ X337|(~ftopolo1276428101open_a @ X337|~fmember_a @ fx0 @ X337)|~p74)&(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk150_1 @ X337))|(~ftopolo1276428101open_a @ X337|~fmember_a @ fx0 @ X337)|~p74)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax74])])])])])])).
% 22.94/22.95  thf(c_0_8, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk257_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_9, plain, p3, inference(split_conjunct,[status(thm)],[ax128])).
% 22.94/22.95  thf(c_0_10, plain, ![X4:set_a]:(fmember_a @ (esk150_1 @ X4) @ X4|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_11, plain, p74, inference(split_conjunct,[status(thm)],[ax58])).
% 22.94/22.95  thf(c_0_12, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk257_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_13, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk257_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_14, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_15, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk150_1 @ X4))|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_16, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~fmember_a @ X5 @ (esk257_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])])).
% 22.94/22.95  thf(c_0_17, plain, ![X4:set_a]:(fmember_a @ (esk150_1 @ X4) @ X4|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_18, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk257_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_9])])).
% 22.94/22.95  thf(c_0_19, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk257_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_9])])).
% 22.94/22.95  thf(c_0_20, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_21, plain, p75, inference(split_conjunct,[status(thm)],[ax57])).
% 22.94/22.95  thf(c_0_22, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk150_1 @ X4))|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])])).
% 22.94/22.95  thf(c_0_23, plain, ![X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ (esk150_1 @ (esk257_1 @ X1)))|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])).
% 22.94/22.95  thf(c_0_24, plain, ford_le2001149050_ereal @ f__0 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 22.94/22.95  thf(c_0_25, plain, (~fmember_a @ fx0 @ (esk257_1 @ f__0)|~ftopolo1276428101open_a @ (esk257_1 @ f__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 22.94/22.95  thf(c_0_26, plain, ~fmember_a @ fx0 @ (esk257_1 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_19]), c_0_24])]), ['proof']).
% 22.94/22.95  thf(52,plain,$false,inference(eprover,[status(thm),assumptions([h1,h4,h11,h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(h38,assumption,(~((((ord_le2001149050_ereal @ eigen__9) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__9) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h39,assumption,((ord_le2001149050_ereal @ eigen__9) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h40,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__9) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(53,plain,$false,inference(tab_conflict,[status(thm),assumptions([h39,h40,h38,h3,h2,h11,h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(54,plain,$false,inference(tab_negimp,[status(thm),assumptions([h38,h3,h2,h11,h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h39,h40])],[h38,53,h39,h40])).
% 22.94/22.95  thf(55,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h38]),tab_negall(eigenvar,eigen__9)],[h2,54,h38])).
% 22.94/22.95  thf(56,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,52,55,h1,h4,h3,h2])).
% 22.94/22.95  thf(57,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,51,56,h12,h11])).
% 22.94/22.95  thf(pax3, axiom, (p3=>![X40:extended_ereal]:(ford_le2001149050_ereal @ X40 @ (ff @ fx0)=>~(![X41:set_a]:(~((ftopolo1276428101open_a @ X41=>~(fmember_a @ fx0 @ X41)))=>~(![X42:a]:(fmember_a @ X42 @ X41=>ford_le2001149050_ereal @ X40 @ (ff @ X42))))))), file('<stdin>', pax3)).
% 22.94/22.95  thf(pax74, axiom, (p74=>![X20:set_a]:(~((ftopolo1276428101open_a @ X20=>~(fmember_a @ fx0 @ X20)))=>~(![X21:a]:(fmember_a @ X21 @ X20=>ford_le2001149050_ereal @ f__0 @ (ff @ X21))))), file('<stdin>', pax74)).
% 22.94/22.95  thf(ax137, axiom, p3, file('<stdin>', ax137)).
% 22.94/22.95  thf(ax68, axiom, p74, file('<stdin>', ax68)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax67, axiom, p75, file('<stdin>', ax67)).
% 22.94/22.95  thf(c_0_6, plain, ![X612:extended_ereal, X614:a]:(((ftopolo1276428101open_a @ (esk286_1 @ X612)|~ford_le2001149050_ereal @ X612 @ (ff @ fx0)|~p3)&(fmember_a @ fx0 @ (esk286_1 @ X612)|~ford_le2001149050_ereal @ X612 @ (ff @ fx0)|~p3))&(~fmember_a @ X614 @ (esk286_1 @ X612)|ford_le2001149050_ereal @ X612 @ (ff @ X614)|~ford_le2001149050_ereal @ X612 @ (ff @ fx0)|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])])).
% 22.94/22.95  thf(c_0_7, plain, ![X399:set_a]:((fmember_a @ (esk179_1 @ X399) @ X399|(~ftopolo1276428101open_a @ X399|~fmember_a @ fx0 @ X399)|~p74)&(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk179_1 @ X399))|(~ftopolo1276428101open_a @ X399|~fmember_a @ fx0 @ X399)|~p74)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax74])])])])])])).
% 22.94/22.95  thf(c_0_8, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk286_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_9, plain, p3, inference(split_conjunct,[status(thm)],[ax137])).
% 22.94/22.95  thf(c_0_10, plain, ![X4:set_a]:(fmember_a @ (esk179_1 @ X4) @ X4|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_11, plain, p74, inference(split_conjunct,[status(thm)],[ax68])).
% 22.94/22.95  thf(c_0_12, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk286_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_13, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk286_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_14, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_15, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk179_1 @ X4))|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_16, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~fmember_a @ X5 @ (esk286_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])])).
% 22.94/22.95  thf(c_0_17, plain, ![X4:set_a]:(fmember_a @ (esk179_1 @ X4) @ X4|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_18, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk286_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_9])])).
% 22.94/22.95  thf(c_0_19, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk286_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_9])])).
% 22.94/22.95  thf(c_0_20, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_21, plain, p75, inference(split_conjunct,[status(thm)],[ax67])).
% 22.94/22.95  thf(c_0_22, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk179_1 @ X4))|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])])).
% 22.94/22.95  thf(c_0_23, plain, ![X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ (esk179_1 @ (esk286_1 @ X1)))|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])).
% 22.94/22.95  thf(c_0_24, plain, ford_le2001149050_ereal @ f__0 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 22.94/22.95  thf(c_0_25, plain, (~fmember_a @ fx0 @ (esk286_1 @ f__0)|~ftopolo1276428101open_a @ (esk286_1 @ f__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 22.94/22.95  thf(c_0_26, plain, ~fmember_a @ fx0 @ (esk286_1 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_19]), c_0_24])]), ['proof']).
% 22.94/22.95  thf(58,plain,$false,inference(eprover,[status(thm),assumptions([h12,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(pax3, axiom, (p3=>![X40:extended_ereal]:(ford_le2001149050_ereal @ X40 @ (ff @ fx0)=>~(![X41:set_a]:(~((ftopolo1276428101open_a @ X41=>~(fmember_a @ fx0 @ X41)))=>~(![X42:a]:(fmember_a @ X42 @ X41=>ford_le2001149050_ereal @ X40 @ (ff @ X42))))))), file('<stdin>', pax3)).
% 22.94/22.95  thf(pax74, axiom, (p74=>![X20:set_a]:(~((ftopolo1276428101open_a @ X20=>~(fmember_a @ fx0 @ X20)))=>~(![X21:a]:(fmember_a @ X21 @ X20=>ford_le2001149050_ereal @ f__0 @ (ff @ X21))))), file('<stdin>', pax74)).
% 22.94/22.95  thf(ax231, axiom, p3, file('<stdin>', ax231)).
% 22.94/22.95  thf(ax162, axiom, p74, file('<stdin>', ax162)).
% 22.94/22.95  thf(pax75, axiom, (p75=>ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), file('<stdin>', pax75)).
% 22.94/22.95  thf(ax161, axiom, p75, file('<stdin>', ax161)).
% 22.94/22.95  thf(c_0_6, plain, ![X640:extended_ereal, X642:a]:(((ftopolo1276428101open_a @ (esk300_1 @ X640)|~ford_le2001149050_ereal @ X640 @ (ff @ fx0)|~p3)&(fmember_a @ fx0 @ (esk300_1 @ X640)|~ford_le2001149050_ereal @ X640 @ (ff @ fx0)|~p3))&(~fmember_a @ X642 @ (esk300_1 @ X640)|ford_le2001149050_ereal @ X640 @ (ff @ X642)|~ford_le2001149050_ereal @ X640 @ (ff @ fx0)|~p3)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])])])).
% 22.94/22.95  thf(c_0_7, plain, ![X427:set_a]:((fmember_a @ (esk193_1 @ X427) @ X427|(~ftopolo1276428101open_a @ X427|~fmember_a @ fx0 @ X427)|~p74)&(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk193_1 @ X427))|(~ftopolo1276428101open_a @ X427|~fmember_a @ fx0 @ X427)|~p74)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax74])])])])])])).
% 22.94/22.95  thf(c_0_8, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~fmember_a @ X5 @ (esk300_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_9, plain, p3, inference(split_conjunct,[status(thm)],[ax231])).
% 22.94/22.95  thf(c_0_10, plain, ![X4:set_a]:(fmember_a @ (esk193_1 @ X4) @ X4|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_11, plain, p74, inference(split_conjunct,[status(thm)],[ax162])).
% 22.94/22.95  thf(c_0_12, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk300_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_13, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk300_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~p3), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_14, plain, (~p75|ford_le2001149050_ereal @ f__0 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax75])).
% 22.94/22.95  thf(c_0_15, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk193_1 @ X4))|~ftopolo1276428101open_a @ X4|~fmember_a @ fx0 @ X4|~p74), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_16, plain, ![X5:a, X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ X5)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)|~fmember_a @ X5 @ (esk300_1 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8, c_0_9])])).
% 22.94/22.95  thf(c_0_17, plain, ![X4:set_a]:(fmember_a @ (esk193_1 @ X4) @ X4|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_18, plain, ![X1:extended_ereal]:(ftopolo1276428101open_a @ (esk300_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_9])])).
% 22.94/22.95  thf(c_0_19, plain, ![X1:extended_ereal]:(fmember_a @ fx0 @ (esk300_1 @ X1)|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_9])])).
% 22.94/22.95  thf(c_0_20, plain, (ford_le2001149050_ereal @ f__0 @ (ff @ fx0)|~p75), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_21, plain, p75, inference(split_conjunct,[status(thm)],[ax161])).
% 22.94/22.95  thf(c_0_22, plain, ![X4:set_a]:(~ford_le2001149050_ereal @ f__0 @ (ff @ (esk193_1 @ X4))|~fmember_a @ fx0 @ X4|~ftopolo1276428101open_a @ X4), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_11])])).
% 22.94/22.95  thf(c_0_23, plain, ![X1:extended_ereal]:(ford_le2001149050_ereal @ X1 @ (ff @ (esk193_1 @ (esk300_1 @ X1)))|~ford_le2001149050_ereal @ X1 @ (ff @ fx0)), inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18]), c_0_19])).
% 22.94/22.95  thf(c_0_24, plain, ford_le2001149050_ereal @ f__0 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21])])).
% 22.94/22.95  thf(c_0_25, plain, (~fmember_a @ fx0 @ (esk300_1 @ f__0)|~ftopolo1276428101open_a @ (esk300_1 @ f__0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_22, c_0_23]), c_0_24])])).
% 22.94/22.95  thf(c_0_26, plain, ~fmember_a @ fx0 @ (esk300_1 @ f__0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_27, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_26, c_0_19]), c_0_24])]), ['proof']).
% 22.94/22.95  thf(59,plain,$false,inference(eprover,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[])).
% 22.94/22.95  thf(h41,assumption,(~((((ord_le2001149050_ereal @ eigen__10) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__10) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h42,assumption,((ord_le2001149050_ereal @ eigen__10) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h43,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__10) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(60,plain,$false,inference(tab_conflict,[status(thm),assumptions([h42,h43,h41,h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(61,plain,$false,inference(tab_negimp,[status(thm),assumptions([h41,h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h42,h43])],[h41,60,h42,h43])).
% 22.94/22.95  thf(62,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h41]),tab_negall(eigenvar,eigen__10)],[h2,61,h41])).
% 22.94/22.95  thf(63,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,59,62,h1,h4,h3,h2])).
% 22.94/22.95  thf(64,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,58,63,h12,h11])).
% 22.94/22.95  thf(h44,assumption,(~((((ord_le2001149050_ereal @ eigen__11) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__11) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h45,assumption,((ord_le2001149050_ereal @ eigen__11) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h46,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__11) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(65,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(66,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(h47,assumption,(~((((ord_le2001149050_ereal @ eigen__12) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__12) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h48,assumption,((ord_le2001149050_ereal @ eigen__12) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h49,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__12) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(67,plain,$false,inference(tab_conflict,[status(thm),assumptions([h48,h49,h47,h3,h2,h11,h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(68,plain,$false,inference(tab_negimp,[status(thm),assumptions([h47,h3,h2,h11,h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h48,h49])],[h47,67,h48,h49])).
% 22.94/22.95  thf(69,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h47]),tab_negall(eigenvar,eigen__12)],[h2,68,h47])).
% 22.94/22.95  thf(70,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,66,69,h1,h4,h3,h2])).
% 22.94/22.95  thf(71,plain,$false,inference(tab_imp,[status(thm),assumptions([h45,h46,h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,65,70,h12,h11])).
% 22.94/22.95  thf(72,plain,$false,inference(tab_negimp,[status(thm),assumptions([h44,h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h45,h46])],[h44,71,h45,h46])).
% 22.94/22.95  thf(73,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h44]),tab_negall(eigenvar,eigen__11)],[h2,72,h44])).
% 22.94/22.95  thf(74,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,64,73,h1,h4,h3,h2])).
% 22.94/22.95  thf(75,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,57,74,h10,h11])).
% 22.94/22.95  thf(h50,assumption,(~((((ord_le2001149050_ereal @ eigen__13) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__13) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h51,assumption,((ord_le2001149050_ereal @ eigen__13) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h52,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__13) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(76,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(77,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(h53,assumption,(~((((ord_le2001149050_ereal @ eigen__14) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__14) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h54,assumption,((ord_le2001149050_ereal @ eigen__14) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h55,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__14) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(78,plain,$false,inference(tab_conflict,[status(thm),assumptions([h54,h55,h53,h3,h2,h11,h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(79,plain,$false,inference(tab_negimp,[status(thm),assumptions([h53,h3,h2,h11,h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h54,h55])],[h53,78,h54,h55])).
% 22.94/22.95  thf(80,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h53]),tab_negall(eigenvar,eigen__14)],[h2,79,h53])).
% 22.94/22.95  thf(81,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,77,80,h1,h4,h3,h2])).
% 22.94/22.95  thf(82,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,76,81,h12,h11])).
% 22.94/22.95  thf(83,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(84,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(h56,assumption,(~((((ord_le2001149050_ereal @ eigen__15) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__15) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h57,assumption,((ord_le2001149050_ereal @ eigen__15) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h58,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__15) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(85,plain,$false,inference(tab_conflict,[status(thm),assumptions([h57,h58,h56,h3,h2,h11,h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(86,plain,$false,inference(tab_negimp,[status(thm),assumptions([h56,h3,h2,h11,h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h57,h58])],[h56,85,h57,h58])).
% 22.94/22.95  thf(87,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h56]),tab_negall(eigenvar,eigen__15)],[h2,86,h56])).
% 22.94/22.95  thf(88,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,84,87,h1,h4,h3,h2])).
% 22.94/22.95  thf(89,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,83,88,h12,h11])).
% 22.94/22.95  thf(h59,assumption,(~((((ord_le2001149050_ereal @ eigen__16) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__16) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h60,assumption,((ord_le2001149050_ereal @ eigen__16) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h61,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__16) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(90,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(91,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(h62,assumption,(~((((ord_le2001149050_ereal @ eigen__17) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__17) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h63,assumption,((ord_le2001149050_ereal @ eigen__17) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h64,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__17) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(92,plain,$false,inference(tab_conflict,[status(thm),assumptions([h63,h64,h62,h3,h2,h11,h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0])],[h1,h3])).
% 22.94/22.95  thf(93,plain,$false,inference(tab_negimp,[status(thm),assumptions([h62,h3,h2,h11,h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h63,h64])],[h62,92,h63,h64])).
% 22.94/22.95  thf(94,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h62]),tab_negall(eigenvar,eigen__17)],[h2,93,h62])).
% 22.94/22.95  thf(95,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,91,94,h1,h4,h3,h2])).
% 22.94/22.95  thf(96,plain,$false,inference(tab_imp,[status(thm),assumptions([h60,h61,h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,90,95,h12,h11])).
% 22.94/22.95  thf(97,plain,$false,inference(tab_negimp,[status(thm),assumptions([h59,h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h60,h61])],[h59,96,h60,h61])).
% 22.94/22.95  thf(98,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h59]),tab_negall(eigenvar,eigen__16)],[h2,97,h59])).
% 22.94/22.95  thf(99,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,89,98,h1,h4,h3,h2])).
% 22.94/22.95  thf(100,plain,$false,inference(tab_imp,[status(thm),assumptions([h51,h52,h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,82,99,h10,h11])).
% 22.94/22.95  thf(101,plain,$false,inference(tab_negimp,[status(thm),assumptions([h50,h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negimp(discharge,[h51,h52])],[h50,100,h51,h52])).
% 22.94/22.95  thf(102,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h9,h6,h7,h5,h1,h2,h0]),tab_negall(discharge,[h50]),tab_negall(eigenvar,eigen__13)],[h2,101,h50])).
% 22.94/22.95  thf(103,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h9,h6,h7,h5,h1,h2,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,75,102,h1,h4,h3,h2])).
% 22.94/22.95  thf(104,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h25]),tab_imp(discharge,[h11])],[h9,50,103,h25,h11])).
% 22.94/22.95  thf(fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,axiom,((~(sP1)) => ((~(sP6)) => (sP7 = sP5)))).
% 22.94/22.95  thf(105,plain,$false,inference(tab_imp,[status(thm),assumptions([h6,h7,h5,h1,h2,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,25,104,h8,h9])).
% 22.94/22.95  thf(106,plain,$false,inference(tab_negimp,[status(thm),assumptions([h5,h1,h2,h0]),tab_negimp(discharge,[h6,h7])],[h5,105,h6,h7])).
% 22.94/22.95  thf(107,plain,$false,inference(tab_negall,[status(thm),assumptions([h1,h2,h0]),tab_negall(discharge,[h5]),tab_negall(eigenvar,eigen__0)],[h2,106,h5])).
% 22.94/22.95  thf(108,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h10,h8,h3,h4,h0])],[h8,h10])).
% 22.94/22.95  thf(109,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h10,h8,h3,h4,h0])],[h8,h10])).
% 22.94/22.95  thf(h65,assumption,(~((((ord_le2001149050_ereal @ eigen__18) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__18) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h66,assumption,((ord_le2001149050_ereal @ eigen__18) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h67,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__18) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(110,plain,$false,inference(tab_conflict,[status(thm),assumptions([h66,h67,h65,h3,h2,h11,h10,h8,h3,h4,h0])],[h8,h10])).
% 22.94/22.95  thf(111,plain,$false,inference(tab_negimp,[status(thm),assumptions([h65,h3,h2,h11,h10,h8,h3,h4,h0]),tab_negimp(discharge,[h66,h67])],[h65,110,h66,h67])).
% 22.94/22.95  thf(112,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h8,h3,h4,h0]),tab_negall(discharge,[h65]),tab_negall(eigenvar,eigen__18)],[h2,111,h65])).
% 22.94/22.95  thf(113,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h8,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,109,112,h1,h4,h3,h2])).
% 22.94/22.95  thf(114,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h8,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,108,113,h12,h11])).
% 22.94/22.95  thf(115,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h1,h4,h11,h8,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(116,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h8,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h68,assumption,(~((((ord_le2001149050_ereal @ eigen__19) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__19) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h69,assumption,((ord_le2001149050_ereal @ eigen__19) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h70,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__19) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(117,plain,$false,inference(tab_conflict,[status(thm),assumptions([h69,h70,h68,h3,h2,h11,h1,h4,h11,h8,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(118,plain,$false,inference(tab_negimp,[status(thm),assumptions([h68,h3,h2,h11,h1,h4,h11,h8,h3,h4,h0]),tab_negimp(discharge,[h69,h70])],[h68,117,h69,h70])).
% 22.94/22.95  thf(119,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h8,h3,h4,h0]),tab_negall(discharge,[h68]),tab_negall(eigenvar,eigen__19)],[h2,118,h68])).
% 22.94/22.95  thf(120,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h8,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,116,119,h1,h4,h3,h2])).
% 22.94/22.95  thf(121,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h8,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,115,120,h12,h11])).
% 22.94/22.95  thf(h71,assumption,(~((((ord_le2001149050_ereal @ eigen__20) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__20) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h72,assumption,((ord_le2001149050_ereal @ eigen__20) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h73,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__20) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(pax27, axiom, (p27=>![X24:extended_ereal]:~(ford_le2001149050_ereal @ X24 @ (fuminus1208298309_ereal @ fextend1289208545_ereal))), file('<stdin>', pax27)).
% 22.94/22.95  thf(pax2, axiom, (p2=>(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), file('<stdin>', pax2)).
% 22.94/22.95  thf(pax275, axiom, (p275=>ford_le2001149050_ereal @ f__20 @ (ff @ fx0)), file('<stdin>', pax275)).
% 22.94/22.95  thf(ax55, axiom, p27, file('<stdin>', ax55)).
% 22.94/22.95  thf(ax76, axiom, p2, file('<stdin>', ax76)).
% 22.94/22.95  thf(ax78, axiom, p275, file('<stdin>', ax78)).
% 22.94/22.95  thf(c_0_6, plain, ![X662:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X662 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax27])])])])).
% 22.94/22.95  thf(c_0_7, plain, (~p2|(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax2])).
% 22.94/22.95  thf(c_0_8, plain, (~p275|ford_le2001149050_ereal @ f__20 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax275])).
% 22.94/22.95  thf(c_0_9, plain, ![X3:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X3 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_10, plain, p27, inference(split_conjunct,[status(thm)],[ax55])).
% 22.94/22.95  thf(c_0_11, plain, ((ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_12, plain, p2, inference(split_conjunct,[status(thm)],[ax76])).
% 22.94/22.95  thf(c_0_13, plain, (ford_le2001149050_ereal @ f__20 @ (ff @ fx0)|~p275), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_14, plain, p275, inference(split_conjunct,[status(thm)],[ax78])).
% 22.94/22.95  thf(c_0_15, plain, ![X3:extended_ereal]:~ford_le2001149050_ereal @ X3 @ (fuminus1208298309_ereal @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 22.94/22.95  thf(c_0_16, plain, (fuminus1208298309_ereal @ fextend1289208545_ereal)=(ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 22.94/22.95  thf(c_0_17, plain, ford_le2001149050_ereal @ f__20 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 22.94/22.95  thf(c_0_18, plain, ![X3:extended_ereal]:~ford_le2001149050_ereal @ X3 @ (ff @ fx0), inference(rw,[status(thm)],[c_0_15, c_0_16])).
% 22.94/22.95  thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[c_0_17, c_0_18]), ['proof']).
% 22.94/22.95  thf(122,plain,$false,inference(eprover,[status(thm),assumptions([h12,h72,h73,h71,h3,h2,h11,h8,h3,h4,h0])],[])).
% 22.94/22.95  thf(123,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h72,h73,h71,h3,h2,h11,h8,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h74,assumption,(~((((ord_le2001149050_ereal @ eigen__21) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__21) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h75,assumption,((ord_le2001149050_ereal @ eigen__21) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h76,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__21) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(pax27, axiom, (p27=>![X24:extended_ereal]:~(ford_le2001149050_ereal @ X24 @ (fuminus1208298309_ereal @ fextend1289208545_ereal))), file('<stdin>', pax27)).
% 22.94/22.95  thf(pax2, axiom, (p2=>(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), file('<stdin>', pax2)).
% 22.94/22.95  thf(pax285, axiom, (p285=>ford_le2001149050_ereal @ f__21 @ (ff @ fx0)), file('<stdin>', pax285)).
% 22.94/22.95  thf(ax63, axiom, p27, file('<stdin>', ax63)).
% 22.94/22.95  thf(ax84, axiom, p2, file('<stdin>', ax84)).
% 22.94/22.95  thf(ax88, axiom, p285, file('<stdin>', ax88)).
% 22.94/22.95  thf(c_0_6, plain, ![X698:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X698 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax27])])])])).
% 22.94/22.95  thf(c_0_7, plain, (~p2|(ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax2])).
% 22.94/22.95  thf(c_0_8, plain, (~p285|ford_le2001149050_ereal @ f__21 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax285])).
% 22.94/22.95  thf(c_0_9, plain, ![X3:extended_ereal]:(~p27|~ford_le2001149050_ereal @ X3 @ (fuminus1208298309_ereal @ fextend1289208545_ereal)), inference(split_conjunct,[status(thm)],[c_0_6])).
% 22.94/22.95  thf(c_0_10, plain, p27, inference(split_conjunct,[status(thm)],[ax63])).
% 22.94/22.95  thf(c_0_11, plain, ((ff @ fx0)=(fuminus1208298309_ereal @ fextend1289208545_ereal)|~p2), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_12, plain, p2, inference(split_conjunct,[status(thm)],[ax84])).
% 22.94/22.95  thf(c_0_13, plain, (ford_le2001149050_ereal @ f__21 @ (ff @ fx0)|~p285), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_14, plain, p285, inference(split_conjunct,[status(thm)],[ax88])).
% 22.94/22.95  thf(c_0_15, plain, ![X3:extended_ereal]:~ford_le2001149050_ereal @ X3 @ (fuminus1208298309_ereal @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_9, c_0_10])])).
% 22.94/22.95  thf(c_0_16, plain, (fuminus1208298309_ereal @ fextend1289208545_ereal)=(ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_11, c_0_12])])).
% 22.94/22.95  thf(c_0_17, plain, ford_le2001149050_ereal @ f__21 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 22.94/22.95  thf(c_0_18, plain, ![X3:extended_ereal]:~ford_le2001149050_ereal @ X3 @ (ff @ fx0), inference(rw,[status(thm)],[c_0_15, c_0_16])).
% 22.94/22.95  thf(c_0_19, plain, ($false), inference(sr,[status(thm)],[c_0_17, c_0_18]), ['proof']).
% 22.94/22.95  thf(124,plain,$false,inference(eprover,[status(thm),assumptions([h75,h76,h74,h3,h2,h11,h72,h73,h71,h3,h2,h11,h8,h3,h4,h0])],[])).
% 22.94/22.95  thf(125,plain,$false,inference(tab_negimp,[status(thm),assumptions([h74,h3,h2,h11,h72,h73,h71,h3,h2,h11,h8,h3,h4,h0]),tab_negimp(discharge,[h75,h76])],[h74,124,h75,h76])).
% 22.94/22.95  thf(126,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h72,h73,h71,h3,h2,h11,h8,h3,h4,h0]),tab_negall(discharge,[h74]),tab_negall(eigenvar,eigen__21)],[h2,125,h74])).
% 22.94/22.95  thf(127,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h72,h73,h71,h3,h2,h11,h8,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,123,126,h1,h4,h3,h2])).
% 22.94/22.95  thf(128,plain,$false,inference(tab_imp,[status(thm),assumptions([h72,h73,h71,h3,h2,h11,h8,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,122,127,h12,h11])).
% 22.94/22.95  thf(129,plain,$false,inference(tab_negimp,[status(thm),assumptions([h71,h3,h2,h11,h8,h3,h4,h0]),tab_negimp(discharge,[h72,h73])],[h71,128,h72,h73])).
% 22.94/22.95  thf(130,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h8,h3,h4,h0]),tab_negall(discharge,[h71]),tab_negall(eigenvar,eigen__20)],[h2,129,h71])).
% 22.94/22.95  thf(131,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h8,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,121,130,h1,h4,h3,h2])).
% 22.94/22.95  thf(132,plain,$false,inference(tab_imp,[status(thm),assumptions([h8,h3,h4,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,114,131,h10,h11])).
% 22.94/22.95  thf(133,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h10,h25,h9,h3,h4,h0])],[h25,h12])).
% 22.94/22.95  thf(134,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h10,h25,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h77,assumption,(~((((ord_le2001149050_ereal @ eigen__22) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__22) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h78,assumption,((ord_le2001149050_ereal @ eigen__22) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h79,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__22) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(pax1, axiom, (p1=>(ff @ fx0)=(fextend1289208545_ereal)), file('<stdin>', pax1)).
% 22.94/22.95  thf(ax18, axiom, (~(p3)|p296), file('<stdin>', ax18)).
% 22.94/22.95  thf(pax295, axiom, (p295=>ford_le2001149050_ereal @ f__22 @ (ff @ fx0)), file('<stdin>', pax295)).
% 22.94/22.95  thf(ax92, axiom, p1, file('<stdin>', ax92)).
% 22.94/22.95  thf(pax296, axiom, (p296=>(ford_le2001149050_ereal @ f__22 @ (ff @ fx0)=>~(![X1:set_a]:(~((ftopolo1276428101open_a @ X1=>~(fmember_a @ fx0 @ X1)))=>~(![X2:a]:(fmember_a @ X2 @ X1=>ford_le2001149050_ereal @ f__22 @ (ff @ X2))))))), file('<stdin>', pax296)).
% 22.94/22.95  thf(ax24, axiom, p3, file('<stdin>', ax24)).
% 22.94/22.95  thf(ax95, axiom, p295, file('<stdin>', ax95)).
% 22.94/22.95  thf(pax294, axiom, (p294=>![X1:set_a]:(~((ftopolo1276428101open_a @ X1=>~(fmember_a @ fx0 @ X1)))=>~(![X2:a]:(fmember_a @ X2 @ X1=>ford_le2001149050_ereal @ f__22 @ (ff @ X2))))), file('<stdin>', pax294)).
% 22.94/22.95  thf(ax96, axiom, p294, file('<stdin>', ax96)).
% 22.94/22.95  thf(c_0_9, plain, (~p1|(ff @ fx0)=(fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax1])).
% 22.94/22.95  thf(c_0_10, plain, (~p3|p296), inference(fof_simplification,[status(thm)],[ax18])).
% 22.94/22.95  thf(c_0_11, plain, (~p295|ford_le2001149050_ereal @ f__22 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax295])).
% 22.94/22.95  thf(c_0_12, plain, ((ff @ fx0)=(fextend1289208545_ereal)|~p1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax92])).
% 22.94/22.95  thf(c_0_14, plain, ![X74:a]:(((ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p296)&(fmember_a @ fx0 @ esk15_0|~ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p296))&(~fmember_a @ X74 @ esk15_0|ford_le2001149050_ereal @ f__22 @ (ff @ X74)|~ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p296)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax296])])])])])])).
% 22.94/22.95  thf(c_0_15, plain, (p296|~p3), inference(split_conjunct,[status(thm)],[c_0_10])).
% 22.94/22.95  thf(c_0_16, plain, p3, inference(split_conjunct,[status(thm)],[ax24])).
% 22.94/22.95  thf(c_0_17, plain, (ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p295), inference(split_conjunct,[status(thm)],[c_0_11])).
% 22.94/22.95  thf(c_0_18, plain, (ff @ fx0)=(fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 22.94/22.95  thf(c_0_19, plain, p295, inference(split_conjunct,[status(thm)],[ax95])).
% 22.94/22.95  thf(c_0_20, plain, ![X77:set_a]:((fmember_a @ (esk17_1 @ X77) @ X77|(~ftopolo1276428101open_a @ X77|~fmember_a @ fx0 @ X77)|~p294)&(~ford_le2001149050_ereal @ f__22 @ (ff @ (esk17_1 @ X77))|(~ftopolo1276428101open_a @ X77|~fmember_a @ fx0 @ X77)|~p294)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax294])])])])])])).
% 22.94/22.95  thf(c_0_21, plain, (ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p296), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_22, plain, p296, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 22.94/22.95  thf(c_0_23, plain, ![X2:a]:(ford_le2001149050_ereal @ f__22 @ (ff @ X2)|~fmember_a @ X2 @ esk15_0|~ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p296), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_24, plain, ford_le2001149050_ereal @ f__22 @ fextend1289208545_ereal, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18]), c_0_19])])).
% 22.94/22.95  thf(c_0_25, plain, ![X1:set_a]:(fmember_a @ (esk17_1 @ X1) @ X1|~ftopolo1276428101open_a @ X1|~fmember_a @ fx0 @ X1|~p294), inference(split_conjunct,[status(thm)],[c_0_20])).
% 22.94/22.95  thf(c_0_26, plain, p294, inference(split_conjunct,[status(thm)],[ax96])).
% 22.94/22.95  thf(c_0_27, plain, (fmember_a @ fx0 @ esk15_0|~ford_le2001149050_ereal @ f__22 @ (ff @ fx0)|~p296), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_28, plain, (ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__22 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_18])])).
% 22.94/22.95  thf(c_0_29, plain, ![X1:set_a]:(~ford_le2001149050_ereal @ f__22 @ (ff @ (esk17_1 @ X1))|~ftopolo1276428101open_a @ X1|~fmember_a @ fx0 @ X1|~p294), inference(split_conjunct,[status(thm)],[c_0_20])).
% 22.94/22.95  thf(c_0_30, plain, ![X2:a]:(ford_le2001149050_ereal @ f__22 @ (ff @ X2)|~fmember_a @ X2 @ esk15_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_22]), c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_31, plain, ![X1:set_a]:(fmember_a @ (esk17_1 @ X1) @ X1|~fmember_a @ fx0 @ X1|~ftopolo1276428101open_a @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 22.94/22.95  thf(c_0_32, plain, fmember_a @ fx0 @ esk15_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_22]), c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_33, plain, ftopolo1276428101open_a @ esk15_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_24])])).
% 22.94/22.95  thf(c_0_34, plain, ![X1:set_a]:(~ford_le2001149050_ereal @ f__22 @ (ff @ (esk17_1 @ X1))|~fmember_a @ fx0 @ X1|~ftopolo1276428101open_a @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_26])])).
% 22.94/22.95  thf(c_0_35, plain, ford_le2001149050_ereal @ f__22 @ (ff @ (esk17_1 @ esk15_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33])])).
% 22.94/22.95  thf(c_0_36, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_32]), c_0_33])]), ['proof']).
% 22.94/22.95  thf(135,plain,$false,inference(eprover,[status(thm),assumptions([h78,h79,h77,h3,h2,h11,h10,h25,h9,h3,h4,h0])],[])).
% 22.94/22.95  thf(136,plain,$false,inference(tab_negimp,[status(thm),assumptions([h77,h3,h2,h11,h10,h25,h9,h3,h4,h0]),tab_negimp(discharge,[h78,h79])],[h77,135,h78,h79])).
% 22.94/22.95  thf(137,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h25,h9,h3,h4,h0]),tab_negall(discharge,[h77]),tab_negall(eigenvar,eigen__22)],[h2,136,h77])).
% 22.94/22.95  thf(138,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h25,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,134,137,h1,h4,h3,h2])).
% 22.94/22.95  thf(139,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h25,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,133,138,h12,h11])).
% 22.94/22.95  thf(140,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h1,h4,h11,h25,h9,h3,h4,h0])],[h25,h12])).
% 22.94/22.95  thf(141,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h25,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h80,assumption,(~((((ord_le2001149050_ereal @ eigen__23) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__23) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h81,assumption,((ord_le2001149050_ereal @ eigen__23) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h82,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__23) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(142,plain,$false,inference(tab_conflict,[status(thm),assumptions([h81,h82,h80,h3,h2,h11,h1,h4,h11,h25,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(143,plain,$false,inference(tab_negimp,[status(thm),assumptions([h80,h3,h2,h11,h1,h4,h11,h25,h9,h3,h4,h0]),tab_negimp(discharge,[h81,h82])],[h80,142,h81,h82])).
% 22.94/22.95  thf(144,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h25,h9,h3,h4,h0]),tab_negall(discharge,[h80]),tab_negall(eigenvar,eigen__23)],[h2,143,h80])).
% 22.94/22.95  thf(145,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h25,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,141,144,h1,h4,h3,h2])).
% 22.94/22.95  thf(146,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h25,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,140,145,h12,h11])).
% 22.94/22.95  thf(h83,assumption,(~((((ord_le2001149050_ereal @ eigen__24) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__24) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h84,assumption,((ord_le2001149050_ereal @ eigen__24) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h85,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__24) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(147,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0])],[h25,h12])).
% 22.94/22.95  thf(148,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h86,assumption,(~((((ord_le2001149050_ereal @ eigen__25) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__25) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h87,assumption,((ord_le2001149050_ereal @ eigen__25) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h88,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__25) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(pax1, axiom, (p1=>(ff @ fx0)=(fextend1289208545_ereal)), file('<stdin>', pax1)).
% 22.94/22.95  thf(ax29, axiom, (~(p3)|p310), file('<stdin>', ax29)).
% 22.94/22.95  thf(pax309, axiom, (p309=>ford_le2001149050_ereal @ f__25 @ (ff @ fx0)), file('<stdin>', pax309)).
% 22.94/22.95  thf(ax103, axiom, p1, file('<stdin>', ax103)).
% 22.94/22.95  thf(pax310, axiom, (p310=>(ford_le2001149050_ereal @ f__25 @ (ff @ fx0)=>~(![X3:set_a]:(~((ftopolo1276428101open_a @ X3=>~(fmember_a @ fx0 @ X3)))=>~(![X4:a]:(fmember_a @ X4 @ X3=>ford_le2001149050_ereal @ f__25 @ (ff @ X4))))))), file('<stdin>', pax310)).
% 22.94/22.95  thf(ax35, axiom, p3, file('<stdin>', ax35)).
% 22.94/22.95  thf(ax107, axiom, p309, file('<stdin>', ax107)).
% 22.94/22.95  thf(pax308, axiom, (p308=>![X3:set_a]:(~((ftopolo1276428101open_a @ X3=>~(fmember_a @ fx0 @ X3)))=>~(![X4:a]:(fmember_a @ X4 @ X3=>ford_le2001149050_ereal @ f__25 @ (ff @ X4))))), file('<stdin>', pax308)).
% 22.94/22.95  thf(ax108, axiom, p308, file('<stdin>', ax108)).
% 22.94/22.95  thf(c_0_9, plain, (~p1|(ff @ fx0)=(fextend1289208545_ereal)), inference(fof_nnf,[status(thm)],[pax1])).
% 22.94/22.95  thf(c_0_10, plain, (~p3|p310), inference(fof_simplification,[status(thm)],[ax29])).
% 22.94/22.95  thf(c_0_11, plain, (~p309|ford_le2001149050_ereal @ f__25 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax309])).
% 22.94/22.95  thf(c_0_12, plain, ((ff @ fx0)=(fextend1289208545_ereal)|~p1), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_13, plain, p1, inference(split_conjunct,[status(thm)],[ax103])).
% 22.94/22.95  thf(c_0_14, plain, ![X76:a]:(((ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p310)&(fmember_a @ fx0 @ esk15_0|~ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p310))&(~fmember_a @ X76 @ esk15_0|ford_le2001149050_ereal @ f__25 @ (ff @ X76)|~ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p310)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax310])])])])])])).
% 22.94/22.95  thf(c_0_15, plain, (p310|~p3), inference(split_conjunct,[status(thm)],[c_0_10])).
% 22.94/22.95  thf(c_0_16, plain, p3, inference(split_conjunct,[status(thm)],[ax35])).
% 22.94/22.95  thf(c_0_17, plain, (ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p309), inference(split_conjunct,[status(thm)],[c_0_11])).
% 22.94/22.95  thf(c_0_18, plain, (ff @ fx0)=(fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 22.94/22.95  thf(c_0_19, plain, p309, inference(split_conjunct,[status(thm)],[ax107])).
% 22.94/22.95  thf(c_0_20, plain, ![X79:set_a]:((fmember_a @ (esk17_1 @ X79) @ X79|(~ftopolo1276428101open_a @ X79|~fmember_a @ fx0 @ X79)|~p308)&(~ford_le2001149050_ereal @ f__25 @ (ff @ (esk17_1 @ X79))|(~ftopolo1276428101open_a @ X79|~fmember_a @ fx0 @ X79)|~p308)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax308])])])])])])).
% 22.94/22.95  thf(c_0_21, plain, (ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p310), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_22, plain, p310, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 22.94/22.95  thf(c_0_23, plain, ![X4:a]:(ford_le2001149050_ereal @ f__25 @ (ff @ X4)|~fmember_a @ X4 @ esk15_0|~ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p310), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_24, plain, ford_le2001149050_ereal @ f__25 @ fextend1289208545_ereal, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18]), c_0_19])])).
% 22.94/22.95  thf(c_0_25, plain, ![X3:set_a]:(fmember_a @ (esk17_1 @ X3) @ X3|~ftopolo1276428101open_a @ X3|~fmember_a @ fx0 @ X3|~p308), inference(split_conjunct,[status(thm)],[c_0_20])).
% 22.94/22.95  thf(c_0_26, plain, p308, inference(split_conjunct,[status(thm)],[ax108])).
% 22.94/22.95  thf(c_0_27, plain, (fmember_a @ fx0 @ esk15_0|~ford_le2001149050_ereal @ f__25 @ (ff @ fx0)|~p310), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_28, plain, (ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__25 @ fextend1289208545_ereal), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22]), c_0_18])])).
% 22.94/22.95  thf(c_0_29, plain, ![X3:set_a]:(~ford_le2001149050_ereal @ f__25 @ (ff @ (esk17_1 @ X3))|~ftopolo1276428101open_a @ X3|~fmember_a @ fx0 @ X3|~p308), inference(split_conjunct,[status(thm)],[c_0_20])).
% 22.94/22.95  thf(c_0_30, plain, ![X4:a]:(ford_le2001149050_ereal @ f__25 @ (ff @ X4)|~fmember_a @ X4 @ esk15_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_22]), c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_31, plain, ![X3:set_a]:(fmember_a @ (esk17_1 @ X3) @ X3|~fmember_a @ fx0 @ X3|~ftopolo1276428101open_a @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_26])])).
% 22.94/22.95  thf(c_0_32, plain, fmember_a @ fx0 @ esk15_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_27, c_0_22]), c_0_18]), c_0_24])])).
% 22.94/22.95  thf(c_0_33, plain, ftopolo1276428101open_a @ esk15_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_24])])).
% 22.94/22.95  thf(c_0_34, plain, ![X3:set_a]:(~ford_le2001149050_ereal @ f__25 @ (ff @ (esk17_1 @ X3))|~fmember_a @ fx0 @ X3|~ftopolo1276428101open_a @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_26])])).
% 22.94/22.95  thf(c_0_35, plain, ford_le2001149050_ereal @ f__25 @ (ff @ (esk17_1 @ esk15_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30, c_0_31]), c_0_32]), c_0_33])])).
% 22.94/22.95  thf(c_0_36, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_34, c_0_35]), c_0_32]), c_0_33])]), ['proof']).
% 22.94/22.95  thf(149,plain,$false,inference(eprover,[status(thm),assumptions([h87,h88,h86,h3,h2,h11,h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0])],[])).
% 22.94/22.95  thf(150,plain,$false,inference(tab_negimp,[status(thm),assumptions([h86,h3,h2,h11,h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0]),tab_negimp(discharge,[h87,h88])],[h86,149,h87,h88])).
% 22.94/22.95  thf(151,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0]),tab_negall(discharge,[h86]),tab_negall(eigenvar,eigen__25)],[h2,150,h86])).
% 22.94/22.95  thf(152,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,148,151,h1,h4,h3,h2])).
% 22.94/22.95  thf(153,plain,$false,inference(tab_imp,[status(thm),assumptions([h84,h85,h83,h3,h2,h11,h25,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,147,152,h12,h11])).
% 22.94/22.95  thf(154,plain,$false,inference(tab_negimp,[status(thm),assumptions([h83,h3,h2,h11,h25,h9,h3,h4,h0]),tab_negimp(discharge,[h84,h85])],[h83,153,h84,h85])).
% 22.94/22.95  thf(155,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h25,h9,h3,h4,h0]),tab_negall(discharge,[h83]),tab_negall(eigenvar,eigen__24)],[h2,154,h83])).
% 22.94/22.95  thf(156,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h25,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,146,155,h1,h4,h3,h2])).
% 22.94/22.95  thf(157,plain,$false,inference(tab_imp,[status(thm),assumptions([h25,h9,h3,h4,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,139,156,h10,h11])).
% 22.94/22.95  thf(158,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h10,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(159,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h10,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h89,assumption,(~((((ord_le2001149050_ereal @ eigen__26) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__26) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h90,assumption,((ord_le2001149050_ereal @ eigen__26) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h91,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__26) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(160,plain,$false,inference(tab_conflict,[status(thm),assumptions([h90,h91,h89,h3,h2,h11,h10,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(161,plain,$false,inference(tab_negimp,[status(thm),assumptions([h89,h3,h2,h11,h10,h1,h4,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h90,h91])],[h89,160,h90,h91])).
% 22.94/22.95  thf(162,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h1,h4,h11,h9,h3,h4,h0]),tab_negall(discharge,[h89]),tab_negall(eigenvar,eigen__26)],[h2,161,h89])).
% 22.94/22.95  thf(163,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h1,h4,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,159,162,h1,h4,h3,h2])).
% 22.94/22.95  thf(164,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h1,h4,h11,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,158,163,h12,h11])).
% 22.94/22.95  thf(165,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h1,h4,h11,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(166,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h92,assumption,(~((((ord_le2001149050_ereal @ eigen__27) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__27) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h93,assumption,((ord_le2001149050_ereal @ eigen__27) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h94,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__27) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(167,plain,$false,inference(tab_conflict,[status(thm),assumptions([h93,h94,h92,h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(168,plain,$false,inference(tab_negimp,[status(thm),assumptions([h92,h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h93,h94])],[h92,167,h93,h94])).
% 22.94/22.95  thf(169,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h1,h4,h11,h9,h3,h4,h0]),tab_negall(discharge,[h92]),tab_negall(eigenvar,eigen__27)],[h2,168,h92])).
% 22.94/22.95  thf(170,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h1,h4,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,166,169,h1,h4,h3,h2])).
% 22.94/22.95  thf(171,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,165,170,h12,h11])).
% 22.94/22.95  thf(h95,assumption,(~((((ord_le2001149050_ereal @ eigen__28) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__28) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h96,assumption,((ord_le2001149050_ereal @ eigen__28) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h97,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__28) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(172,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(173,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h98,assumption,(~((((ord_le2001149050_ereal @ eigen__29) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__29) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h99,assumption,((ord_le2001149050_ereal @ eigen__29) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h100,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__29) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(174,plain,$false,inference(tab_conflict,[status(thm),assumptions([h99,h100,h98,h3,h2,h11,h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(175,plain,$false,inference(tab_negimp,[status(thm),assumptions([h98,h3,h2,h11,h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h99,h100])],[h98,174,h99,h100])).
% 22.94/22.95  thf(176,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0]),tab_negall(discharge,[h98]),tab_negall(eigenvar,eigen__29)],[h2,175,h98])).
% 22.94/22.95  thf(177,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,173,176,h1,h4,h3,h2])).
% 22.94/22.95  thf(178,plain,$false,inference(tab_imp,[status(thm),assumptions([h96,h97,h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,172,177,h12,h11])).
% 22.94/22.95  thf(179,plain,$false,inference(tab_negimp,[status(thm),assumptions([h95,h3,h2,h11,h1,h4,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h96,h97])],[h95,178,h96,h97])).
% 22.94/22.95  thf(180,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h9,h3,h4,h0]),tab_negall(discharge,[h95]),tab_negall(eigenvar,eigen__28)],[h2,179,h95])).
% 22.94/22.95  thf(181,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,171,180,h1,h4,h3,h2])).
% 22.94/22.95  thf(182,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h9,h3,h4,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,164,181,h10,h11])).
% 22.94/22.95  thf(h101,assumption,(~(sP3)),introduced(assumption,[])).
% 22.94/22.95  thf(h102,assumption,sP2,introduced(assumption,[])).
% 22.94/22.95  thf(h103,assumption,sP4,introduced(assumption,[])).
% 22.94/22.95  thf(ax37, axiom, (~(p3)|p328), file('<stdin>', ax37)).
% 22.94/22.95  thf(pax327, axiom, (p327=>ford_le2001149050_ereal @ f__30 @ (ff @ fx0)), file('<stdin>', pax327)).
% 22.94/22.95  thf(pax328, axiom, (p328=>(ford_le2001149050_ereal @ f__30 @ (ff @ fx0)=>~(![X3:set_a]:(~((ftopolo1276428101open_a @ X3=>~(fmember_a @ fx0 @ X3)))=>~(![X4:a]:(fmember_a @ X4 @ X3=>ford_le2001149050_ereal @ f__30 @ (ff @ X4))))))), file('<stdin>', pax328)).
% 22.94/22.95  thf(ax41, axiom, p3, file('<stdin>', ax41)).
% 22.94/22.95  thf(ax110, axiom, p327, file('<stdin>', ax110)).
% 22.94/22.95  thf(pax326, axiom, (p326=>![X3:set_a]:(~((ftopolo1276428101open_a @ X3=>~(fmember_a @ fx0 @ X3)))=>~(![X4:a]:(fmember_a @ X4 @ X3=>ford_le2001149050_ereal @ f__30 @ (ff @ X4))))), file('<stdin>', pax326)).
% 22.94/22.95  thf(ax111, axiom, p326, file('<stdin>', ax111)).
% 22.94/22.95  thf(c_0_7, plain, (~p3|p328), inference(fof_simplification,[status(thm)],[ax37])).
% 22.94/22.95  thf(c_0_8, plain, (~p327|ford_le2001149050_ereal @ f__30 @ (ff @ fx0)), inference(fof_nnf,[status(thm)],[pax327])).
% 22.94/22.95  thf(c_0_9, plain, ![X80:a]:(((ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p328)&(fmember_a @ fx0 @ esk15_0|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p328))&(~fmember_a @ X80 @ esk15_0|ford_le2001149050_ereal @ f__30 @ (ff @ X80)|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p328)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax328])])])])])])).
% 22.94/22.95  thf(c_0_10, plain, (p328|~p3), inference(split_conjunct,[status(thm)],[c_0_7])).
% 22.94/22.95  thf(c_0_11, plain, p3, inference(split_conjunct,[status(thm)],[ax41])).
% 22.94/22.95  thf(c_0_12, plain, (ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p327), inference(split_conjunct,[status(thm)],[c_0_8])).
% 22.94/22.95  thf(c_0_13, plain, p327, inference(split_conjunct,[status(thm)],[ax110])).
% 22.94/22.95  thf(c_0_14, plain, ![X83:set_a]:((fmember_a @ (esk17_1 @ X83) @ X83|(~ftopolo1276428101open_a @ X83|~fmember_a @ fx0 @ X83)|~p326)&(~ford_le2001149050_ereal @ f__30 @ (ff @ (esk17_1 @ X83))|(~ftopolo1276428101open_a @ X83|~fmember_a @ fx0 @ X83)|~p326)), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax326])])])])])])).
% 22.94/22.95  thf(c_0_15, plain, (ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p328), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_16, plain, p328, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_10, c_0_11])])).
% 22.94/22.95  thf(c_0_17, plain, ![X4:a]:(ford_le2001149050_ereal @ f__30 @ (ff @ X4)|~fmember_a @ X4 @ esk15_0|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p328), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_18, plain, ford_le2001149050_ereal @ f__30 @ (ff @ fx0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 22.94/22.95  thf(c_0_19, plain, ![X3:set_a]:(fmember_a @ (esk17_1 @ X3) @ X3|~ftopolo1276428101open_a @ X3|~fmember_a @ fx0 @ X3|~p326), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_20, plain, p326, inference(split_conjunct,[status(thm)],[ax111])).
% 22.94/22.95  thf(c_0_21, plain, (fmember_a @ fx0 @ esk15_0|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)|~p328), inference(split_conjunct,[status(thm)],[c_0_9])).
% 22.94/22.95  thf(c_0_22, plain, (ftopolo1276428101open_a @ esk15_0|~ford_le2001149050_ereal @ f__30 @ (ff @ fx0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_15, c_0_16])])).
% 22.94/22.95  thf(c_0_23, plain, ![X3:set_a]:(~ford_le2001149050_ereal @ f__30 @ (ff @ (esk17_1 @ X3))|~ftopolo1276428101open_a @ X3|~fmember_a @ fx0 @ X3|~p326), inference(split_conjunct,[status(thm)],[c_0_14])).
% 22.94/22.95  thf(c_0_24, plain, ![X4:a]:(ford_le2001149050_ereal @ f__30 @ (ff @ X4)|~fmember_a @ X4 @ esk15_0), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_16]), c_0_18])])).
% 22.94/22.95  thf(c_0_25, plain, ![X3:set_a]:(fmember_a @ (esk17_1 @ X3) @ X3|~fmember_a @ fx0 @ X3|~ftopolo1276428101open_a @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])).
% 22.94/22.95  thf(c_0_26, plain, fmember_a @ fx0 @ esk15_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_16]), c_0_18])])).
% 22.94/22.95  thf(c_0_27, plain, ftopolo1276428101open_a @ esk15_0, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_22, c_0_18])])).
% 22.94/22.95  thf(c_0_28, plain, ![X3:set_a]:(~ford_le2001149050_ereal @ f__30 @ (ff @ (esk17_1 @ X3))|~fmember_a @ fx0 @ X3|~ftopolo1276428101open_a @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_20])])).
% 22.94/22.95  thf(c_0_29, plain, ford_le2001149050_ereal @ f__30 @ (ff @ (esk17_1 @ esk15_0)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_24, c_0_25]), c_0_26]), c_0_27])])).
% 22.94/22.95  thf(c_0_30, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_28, c_0_29]), c_0_26]), c_0_27])]), ['proof']).
% 22.94/22.95  thf(183,plain,$false,inference(eprover,[status(thm),assumptions([h12,h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[])).
% 22.94/22.95  thf(184,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h104,assumption,(~((((ord_le2001149050_ereal @ eigen__31) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__31) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h105,assumption,((ord_le2001149050_ereal @ eigen__31) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h106,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__31) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(185,plain,(~(sP5) | sP3),inference(all_rule,[status(thm)],[])).
% 22.94/22.95  thf(186,plain,((~(sP3) | ~(sP2)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 22.94/22.95  thf(187,plain,$false,inference(prop_unsat,[status(thm),assumptions([h105,h106,h104,h3,h2,h11,h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[185,186,h4,h102,h103])).
% 22.94/22.95  thf(188,plain,$false,inference(tab_negimp,[status(thm),assumptions([h104,h3,h2,h11,h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h105,h106])],[h104,187,h105,h106])).
% 22.94/22.95  thf(189,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negall(discharge,[h104]),tab_negall(eigenvar,eigen__31)],[h2,188,h104])).
% 22.94/22.95  thf(190,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,184,189,h1,h4,h3,h2])).
% 22.94/22.95  thf(191,plain,$false,inference(tab_imp,[status(thm),assumptions([h10,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,183,190,h12,h11])).
% 22.94/22.95  thf(192,plain,$false,inference(tab_conflict,[status(thm),assumptions([h12,h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(193,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h107,assumption,(~((((ord_le2001149050_ereal @ eigen__32) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__32) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h108,assumption,((ord_le2001149050_ereal @ eigen__32) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h109,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__32) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(194,plain,$false,inference(tab_conflict,[status(thm),assumptions([h108,h109,h107,h3,h2,h11,h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(195,plain,$false,inference(tab_negimp,[status(thm),assumptions([h107,h3,h2,h11,h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h108,h109])],[h107,194,h108,h109])).
% 22.94/22.95  thf(196,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negall(discharge,[h107]),tab_negall(eigenvar,eigen__32)],[h2,195,h107])).
% 22.94/22.95  thf(197,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,193,196,h1,h4,h3,h2])).
% 22.94/22.95  thf(198,plain,$false,inference(tab_imp,[status(thm),assumptions([h1,h4,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,192,197,h12,h11])).
% 22.94/22.95  thf(h110,assumption,(~((((ord_le2001149050_ereal @ eigen__33) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__33) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h111,assumption,((ord_le2001149050_ereal @ eigen__33) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h112,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__33) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(199,plain,(~(sP5) | sP3),inference(all_rule,[status(thm)],[])).
% 22.94/22.95  thf(200,plain,((~(sP3) | ~(sP2)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 22.94/22.95  thf(201,plain,$false,inference(prop_unsat,[status(thm),assumptions([h12,h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[199,200,h4,h102,h103])).
% 22.94/22.95  thf(202,plain,$false,inference(tab_conflict,[status(thm),assumptions([h1,h4,h11,h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[h1,h3])).
% 22.94/22.95  thf(h113,assumption,(~((((ord_le2001149050_ereal @ eigen__34) @ (f @ x0)) => (~((![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__34) @ (f @ X2))))))))))))),introduced(assumption,[])).
% 22.94/22.95  thf(h114,assumption,((ord_le2001149050_ereal @ eigen__34) @ (f @ x0)),introduced(assumption,[])).
% 22.94/22.95  thf(h115,assumption,(![X1:set_a]:((~(((topolo1276428101open_a @ X1) => (~(((member_a @ x0) @ X1)))))) => (~((![X2:a]:(((member_a @ X2) @ X1) => ((ord_le2001149050_ereal @ eigen__34) @ (f @ X2)))))))),introduced(assumption,[])).
% 22.94/22.95  thf(203,plain,(~(sP5) | sP3),inference(all_rule,[status(thm)],[])).
% 22.94/22.95  thf(204,plain,((~(sP3) | ~(sP2)) | ~(sP4)),inference(prop_rule,[status(thm)],[])).
% 22.94/22.95  thf(205,plain,$false,inference(prop_unsat,[status(thm),assumptions([h114,h115,h113,h3,h2,h11,h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0])],[203,204,h4,h102,h103])).
% 22.94/22.95  thf(206,plain,$false,inference(tab_negimp,[status(thm),assumptions([h113,h3,h2,h11,h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h114,h115])],[h113,205,h114,h115])).
% 22.94/22.95  thf(207,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negall(discharge,[h113]),tab_negall(eigenvar,eigen__34)],[h2,206,h113])).
% 22.94/22.95  thf(208,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,202,207,h1,h4,h3,h2])).
% 22.94/22.95  thf(209,plain,$false,inference(tab_imp,[status(thm),assumptions([h111,h112,h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_imp(discharge,[h12]),tab_imp(discharge,[h11])],[fact_0__092_060open_062f_Ax0_A_061_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,201,208,h12,h11])).
% 22.94/22.95  thf(210,plain,$false,inference(tab_negimp,[status(thm),assumptions([h110,h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h111,h112])],[h110,209,h111,h112])).
% 22.94/22.95  thf(211,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_negall(discharge,[h110]),tab_negall(eigenvar,eigen__33)],[h2,210,h110])).
% 22.94/22.95  thf(212,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,198,211,h1,h4,h3,h2])).
% 22.94/22.95  thf(213,plain,$false,inference(tab_imp,[status(thm),assumptions([h102,h103,h101,h3,h2,h11,h9,h3,h4,h0]),tab_imp(discharge,[h10]),tab_imp(discharge,[h11])],[fact_1__092_060open_062f_Ax0_A_061_A_N_A_092_060infinity_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,191,212,h10,h11])).
% 22.94/22.95  thf(214,plain,$false,inference(tab_negimp,[status(thm),assumptions([h101,h3,h2,h11,h9,h3,h4,h0]),tab_negimp(discharge,[h102,h103])],[h101,213,h102,h103])).
% 22.94/22.95  thf(215,plain,$false,inference(tab_negall,[status(thm),assumptions([h3,h2,h11,h9,h3,h4,h0]),tab_negall(discharge,[h101]),tab_negall(eigenvar,eigen__30)],[h2,214,h101])).
% 22.94/22.95  thf(216,plain,$false,inference(tab_bq,[status(thm),assumptions([h11,h9,h3,h4,h0]),tab_bq(discharge,[h1,h4]),tab_bq(discharge,[h3,h2])],[h11,182,215,h1,h4,h3,h2])).
% 22.94/22.95  thf(217,plain,$false,inference(tab_imp,[status(thm),assumptions([h9,h3,h4,h0]),tab_imp(discharge,[h25]),tab_imp(discharge,[h11])],[h9,157,216,h25,h11])).
% 22.94/22.95  thf(218,plain,$false,inference(tab_imp,[status(thm),assumptions([h3,h4,h0]),tab_imp(discharge,[h8]),tab_imp(discharge,[h9])],[fact_2__092_060open_062_092_060lbrakk_062f_Ax0_A_092_060noteq_062_A_N_A_092_060infinity_062_059_Af_Ax0_A_092_060noteq_062_A_092_060infinity_062_092_060rbrakk_062_A_092_060Longrightarrow_062_Alsc__at_Ax0_Af_A_061_A_I_092_060forall_062C_060f_Ax0_O_A_092_060exists_062T_O_Aopen_AT_A_092_060and_062_Ax0_A_092_060in_062_AT_A_092_060and_062_A_I_092_060forall_062y_092_060in_062T_O_AC_A_060_Af_Ay_J_J_092_060close_062,132,217,h8,h9])).
% 22.94/22.95  thf(219,plain,$false,inference(tab_bq,[status(thm),assumptions([h0]),tab_bq(discharge,[h1,h2]),tab_bq(discharge,[h3,h4])],[h0,107,218,h1,h2,h3,h4])).
% 22.94/22.95  thf(0,theorem,(~((sP7 = (~(sP5))))),inference(contra,[status(thm),contra(discharge,[h0])],[219,h0])).
% 22.94/22.95  % SZS output end Proof
%------------------------------------------------------------------------------