0.03/0.12	% Problem  : SLH0106^1 : TPTP v8.2.0. Released v8.2.0.
0.03/0.12	% Command  : lash -P picomus -M modes -p tstp -t %d %s
0.12/0.33	% Computer : n004.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 8042.1875MB
0.12/0.33	% OS       : Linux 3.10.0-693.el7.x86_64
0.12/0.33	% CPULimit : 30
0.12/0.33	% WCLimit  : 30
0.12/0.33	% DateTime : Mon Jul  3 03:26:15 EDT 2023
0.12/0.33	% CPUTime  : 
15.28/15.57	% SZS status Theorem
15.28/15.57	% Mode: cade22sinegrackle2xfaf3
15.28/15.57	% Steps: 414
15.28/15.57	% SZS output start Proof
15.28/15.57	thf(ty_set_real, type, set_real : $tType).
15.28/15.57	thf(ty_filter_real, type, filter_real : $tType).
15.28/15.57	thf(ty_real, type, real : $tType).
15.28/15.57	thf(ty_has_fi5821293074295781190e_real, type, has_fi5821293074295781190e_real : ((real>real)>real>filter_real>$o)).
15.28/15.57	thf(ty_topolo2177554685111907308n_real, type, topolo2177554685111907308n_real : (real>set_real>filter_real)).
15.28/15.57	thf(ty_member_real, type, member_real : (real>set_real>$o)).
15.28/15.57	thf(ty_x, type, x : real).
15.28/15.57	thf(ty_top_top_set_real, type, top_top_set_real : set_real).
15.28/15.57	thf(ty_eigen__0, type, eigen__0 : real).
15.28/15.57	thf(ty_one_one_real, type, one_one_real : real).
15.28/15.57	thf(sP1,plain,sP1 <=> (((has_fi5821293074295781190e_real @ (^[X1:real]:X1)) @ one_one_real) @ ((topolo2177554685111907308n_real @ x) @ top_top_set_real)),introduced(definition,[new_symbols(definition,[sP1])])).
15.28/15.57	thf(sP2,plain,sP2 <=> (![X1:filter_real]:(((has_fi5821293074295781190e_real @ (^[X2:real]:X2)) @ one_one_real) @ X1)),introduced(definition,[new_symbols(definition,[sP2])])).
15.28/15.57	thf(conj_0,conjecture,sP1).
15.28/15.57	thf(h0,negated_conjecture,(~(sP1)),inference(assume_negation,[status(cth)],[conj_0])).
15.28/15.57	thf(h1,assumption,((member_real @ eigen__0) @ top_top_set_real),introduced(assumption,[])).
15.28/15.57	thf(1,plain,(~(sP2) | sP1),inference(all_rule,[status(thm)],[])).
15.28/15.57	thf(fact_4_DERIV__ident,axiom,sP2).
15.28/15.57	thf(2,plain,$false,inference(prop_unsat,[status(thm),assumptions([h1,h0])],[1,h0,fact_4_DERIV__ident])).
15.28/15.57	thf(fact_8_UNIV__witness,axiom,(~((![X1:real]:(~(((member_real @ X1) @ top_top_set_real))))))).
15.28/15.57	thf(3,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_8_UNIV__witness,2,h1])).
15.28/15.57	thf(0,theorem,sP1,inference(contra,[status(thm),contra(discharge,[h0])],[3,h0])).
15.28/15.57	% SZS output end Proof
15.28/15.57	EOF