0.00/0.10	% Problem    : SLH0151^1 : TPTP v8.2.0. Released v8.2.0.
0.00/0.11	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.11/0.31	Computer   : n020.cluster.edu
0.11/0.31	Model      : x86_64 x86_64
0.11/0.31	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.11/0.31	RAMPerCPU  : 8042.1875MB
0.11/0.31	OS         : Linux 3.10.0-693.el7.x86_64
0.11/0.31	% CPULimit   : 30
0.11/0.31	% DateTime   : Mon Jul  3 03:39:31 EDT 2023
0.16/0.31	% CPUTime    : 
6.03/6.22	% SZS status Theorem
6.03/6.22	% Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
6.03/6.22	% Inferences: 102
6.03/6.22	% SZS output start Proof
6.03/6.22	thf(ty_risk_Free_account, type, risk_Free_account : $tType).
6.03/6.22	thf(ty_set_nat, type, set_nat : $tType).
6.03/6.22	thf(ty_nat, type, nat : $tType).
6.03/6.22	thf(ty_real, type, real : $tType).
6.03/6.22	thf(ty_set_ord_atMost_nat, type, set_ord_atMost_nat : (nat>set_nat)).
6.03/6.22	thf(ty_risk_F2906766666041932210_value, type, risk_F2906766666041932210_value : (risk_Free_account>real)).
6.03/6.22	thf(ty_beta, type, beta : risk_Free_account).
6.03/6.22	thf(ty_ord_max_nat, type, ord_max_nat : (nat>nat>nat)).
6.03/6.22	thf(ty_groups6591440286371151544t_real, type, groups6591440286371151544t_real : ((nat>real)>set_nat>real)).
6.03/6.22	thf(ty_risk_F4612863212915232279period, type, risk_F4612863212915232279period : (risk_Free_account>nat)).
6.03/6.22	thf(ty_ord_less_eq_nat, type, ord_less_eq_nat : (nat>nat>$o)).
6.03/6.22	thf(ty_alpha, type, alpha : risk_Free_account).
6.03/6.22	thf(ty_risk_F170160801229183585ccount, type, risk_F170160801229183585ccount : (risk_Free_account>nat>real)).
6.03/6.22	thf(sP1,plain,sP1 <=> ((ord_less_eq_nat @ (risk_F4612863212915232279period @ alpha)) @ ((ord_max_nat @ (risk_F4612863212915232279period @ alpha)) @ (risk_F4612863212915232279period @ beta))),introduced(definition,[new_symbols(definition,[sP1])])).
6.03/6.22	thf(sP2,plain,sP2 <=> (sP1 => ((risk_F2906766666041932210_value @ alpha) = ((groups6591440286371151544t_real @ (risk_F170160801229183585ccount @ alpha)) @ (set_ord_atMost_nat @ ((ord_max_nat @ (risk_F4612863212915232279period @ alpha)) @ (risk_F4612863212915232279period @ beta)))))),introduced(definition,[new_symbols(definition,[sP2])])).
6.03/6.22	thf(sP3,plain,sP3 <=> ((risk_F2906766666041932210_value @ alpha) = ((groups6591440286371151544t_real @ (risk_F170160801229183585ccount @ alpha)) @ (set_ord_atMost_nat @ ((ord_max_nat @ (risk_F4612863212915232279period @ alpha)) @ (risk_F4612863212915232279period @ beta))))),introduced(definition,[new_symbols(definition,[sP3])])).
6.03/6.22	thf(sP4,plain,sP4 <=> (![X1:risk_Free_account]:(![X2:nat]:(((ord_less_eq_nat @ (risk_F4612863212915232279period @ X1)) @ X2) => ((risk_F2906766666041932210_value @ X1) = ((groups6591440286371151544t_real @ (risk_F170160801229183585ccount @ X1)) @ (set_ord_atMost_nat @ X2)))))),introduced(definition,[new_symbols(definition,[sP4])])).
6.03/6.22	thf(sP5,plain,sP5 <=> (![X1:nat]:(((ord_less_eq_nat @ (risk_F4612863212915232279period @ alpha)) @ X1) => ((risk_F2906766666041932210_value @ alpha) = ((groups6591440286371151544t_real @ (risk_F170160801229183585ccount @ alpha)) @ (set_ord_atMost_nat @ X1))))),introduced(definition,[new_symbols(definition,[sP5])])).
6.03/6.22	thf(conj_0,conjecture,sP3).
6.03/6.22	thf(h0,negated_conjecture,(~(sP3)),inference(assume_negation,[status(cth)],[conj_0])).
6.03/6.22	thf(1,plain,(~(sP4) | sP5),inference(all_rule,[status(thm)],[])).
6.03/6.22	thf(2,plain,(~(sP5) | sP2),inference(all_rule,[status(thm)],[])).
6.03/6.22	thf(3,plain,((~(sP2) | ~(sP1)) | sP3),inference(prop_rule,[status(thm)],[])).
6.03/6.22	thf(fact_1__092_060open_062shortest__period_A_092_060alpha_062_A_092_060le_062_Amax_A_Ishortest__period_A_092_060alpha_062_J_A_Ishortest__period_A_092_060beta_062_J_092_060close_062,axiom,sP1).
6.03/6.22	thf(fact_0_net__asset__value__shortest__period__ge,axiom,sP4).
6.03/6.22	thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,h0,fact_1__092_060open_062shortest__period_A_092_060alpha_062_A_092_060le_062_Amax_A_Ishortest__period_A_092_060alpha_062_J_A_Ishortest__period_A_092_060beta_062_J_092_060close_062,fact_0_net__asset__value__shortest__period__ge])).
6.03/6.22	thf(0,theorem,sP3,inference(contra,[status(thm),contra(discharge,[h0])],[4,h0])).
6.03/6.22	% SZS output end Proof
6.03/6.23	EOF