0.06/0.11	% Problem    : SLH0184^1 : TPTP v8.2.0. Released v8.2.0.
0.06/0.12	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.12/0.33	Computer   : n018.cluster.edu
0.12/0.33	Model      : x86_64 x86_64
0.12/0.33	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	RAMPerCPU  : 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	% DateTime   : Mon Jul  3 03:54:45 EDT 2023
0.12/0.33	% CPUTime    : 
2.71/2.90	% SZS status Theorem
2.71/2.90	% Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
2.71/2.90	% Inferences: 33
2.71/2.90	% SZS output start Proof
2.71/2.90	thf(ty_set_set_real, type, set_set_real : $tType).
2.71/2.90	thf(ty_nat, type, nat : $tType).
2.71/2.90	thf(ty_real, type, real : $tType).
2.71/2.90	thf(ty_a, type, a : real).
2.71/2.90	thf(ty_regular_division, type, regular_division : (real>real>nat>set_set_real)).
2.71/2.90	thf(ty_n, type, n : nat).
2.71/2.90	thf(ty_b, type, b : real).
2.71/2.90	thf(ty_finite9007344921179782393t_real, type, finite9007344921179782393t_real : (set_set_real>$o)).
2.71/2.90	thf(sP1,plain,sP1 <=> (![X1:real]:(![X2:real]:(![X3:nat]:(finite9007344921179782393t_real @ (((regular_division @ X1) @ X2) @ X3))))),introduced(definition,[new_symbols(definition,[sP1])])).
2.71/2.90	thf(sP2,plain,sP2 <=> (![X1:real]:(![X2:nat]:(finite9007344921179782393t_real @ (((regular_division @ a) @ X1) @ X2)))),introduced(definition,[new_symbols(definition,[sP2])])).
2.71/2.90	thf(sP3,plain,sP3 <=> (finite9007344921179782393t_real @ (((regular_division @ a) @ b) @ n)),introduced(definition,[new_symbols(definition,[sP3])])).
2.71/2.90	thf(sP4,plain,sP4 <=> (![X1:nat]:(finite9007344921179782393t_real @ (((regular_division @ a) @ b) @ X1))),introduced(definition,[new_symbols(definition,[sP4])])).
2.71/2.90	thf(conj_0,conjecture,sP3).
2.71/2.90	thf(h0,negated_conjecture,(~(sP3)),inference(assume_negation,[status(cth)],[conj_0])).
2.71/2.90	thf(1,plain,(~(sP1) | sP2),inference(all_rule,[status(thm)],[])).
2.71/2.90	thf(2,plain,(~(sP2) | sP4),inference(all_rule,[status(thm)],[])).
2.71/2.90	thf(3,plain,(~(sP4) | sP3),inference(all_rule,[status(thm)],[])).
2.71/2.90	thf(fact_1_finite__regular__division,axiom,sP1).
2.71/2.90	thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,h0,fact_1_finite__regular__division])).
2.71/2.90	thf(0,theorem,sP3,inference(contra,[status(thm),contra(discharge,[h0])],[4,h0])).
2.71/2.90	% SZS output end Proof
2.71/2.90	EOF