0.03/0.11	% Problem  : SLH0184^1 : 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 : n026.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 04:03:52 EDT 2023
0.12/0.33	% CPUTime  : 
0.18/0.42	% SZS status Theorem
0.18/0.42	% Mode: cade22sinegrackle2x6978
0.18/0.42	% Steps: 224
0.18/0.42	% SZS output start Proof
0.18/0.42	thf(ty_real, type, real : $tType).
0.18/0.42	thf(ty_nat, type, nat : $tType).
0.18/0.42	thf(ty_finite9007344921179782393t_real, type, finite9007344921179782393t_real : (set_set_real>$o)).
0.18/0.42	thf(ty_n, type, n : nat).
0.18/0.42	thf(ty_b, type, b : real).
0.18/0.42	thf(ty_a, type, a : real).
0.18/0.42	thf(ty_regular_division, type, regular_division : (real>real>nat>set_set_real)).
0.18/0.42	thf(sP1,plain,sP1 <=> (![X1:real]:(![X2:real]:(![X3:nat]:(finite9007344921179782393t_real @ (((regular_division @ X1) @ X2) @ X3))))),introduced(definition,[new_symbols(definition,[sP1])])).
0.18/0.42	thf(sP2,plain,sP2 <=> (finite9007344921179782393t_real @ (((regular_division @ a) @ b) @ n)),introduced(definition,[new_symbols(definition,[sP2])])).
0.18/0.42	thf(sP3,plain,sP3 <=> (![X1:real]:(![X2:nat]:(finite9007344921179782393t_real @ (((regular_division @ a) @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP3])])).
0.18/0.42	thf(sP4,plain,sP4 <=> (![X1:nat]:(finite9007344921179782393t_real @ (((regular_division @ a) @ b) @ X1))),introduced(definition,[new_symbols(definition,[sP4])])).
0.18/0.42	thf(conj_0,conjecture,sP2).
0.18/0.42	thf(h0,negated_conjecture,(~(sP2)),inference(assume_negation,[status(cth)],[conj_0])).
0.18/0.42	thf(1,plain,(~(sP4) | sP2),inference(all_rule,[status(thm)],[])).
0.18/0.42	thf(2,plain,(~(sP3) | sP4),inference(all_rule,[status(thm)],[])).
0.18/0.42	thf(3,plain,(~(sP1) | sP3),inference(all_rule,[status(thm)],[])).
0.18/0.42	thf(fact_1_finite__regular__division,axiom,sP1).
0.18/0.42	thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,h0,fact_1_finite__regular__division])).
0.18/0.42	thf(0,theorem,sP2,inference(contra,[status(thm),contra(discharge,[h0])],[4,h0])).
0.18/0.42	% SZS output end Proof
0.18/0.42	EOF