0.02/0.10	% Problem    : SLH0031^1 : TPTP v8.2.0. Released v8.2.0.
0.02/0.10	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.10/0.31	Computer   : n017.cluster.edu
0.10/0.31	Model      : x86_64 x86_64
0.10/0.31	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.10/0.31	RAMPerCPU  : 8042.1875MB
0.10/0.31	OS         : Linux 3.10.0-693.el7.x86_64
0.10/0.31	% CPULimit   : 30
0.10/0.31	% DateTime   : Mon Jul  3 02:47:38 EDT 2023
0.10/0.31	% CPUTime    : 
5.60/5.86	% SZS status Theorem
5.60/5.86	% Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
5.60/5.86	% Inferences: 371
5.60/5.86	% SZS output start Proof
5.60/5.86	thf(ty_extended_ereal, type, extended_ereal : $tType).
5.60/5.86	thf(ty_nat, type, nat : $tType).
5.60/5.86	thf(ty_num, type, num : $tType).
5.60/5.86	thf(ty_option_list_o, type, option_list_o : $tType).
5.60/5.86	thf(ty_real, type, real : $tType).
5.60/5.86	thf(ty_times_times_real, type, times_times_real : (real>real>real)).
5.60/5.86	thf(ty_log, type, log : (real>real>real)).
5.60/5.86	thf(ty_plus_plus_real, type, plus_plus_real : (real>real>real)).
5.60/5.86	thf(ty_ord_le1083603963089353582_ereal, type, ord_le1083603963089353582_ereal : (extended_ereal>extended_ereal>$o)).
5.60/5.86	thf(ty_n, type, n : nat).
5.60/5.86	thf(ty_semiri5074537144036343181t_real, type, semiri5074537144036343181t_real : (nat>real)).
5.60/5.86	thf(ty_extended_ereal2, type, extended_ereal2 : (real>extended_ereal)).
5.60/5.86	thf(ty_bit0, type, bit0 : (num>num)).
5.60/5.86	thf(ty_prefix_Free_Code_N_e, type, prefix_Free_Code_N_e : (nat>option_list_o)).
5.60/5.86	thf(ty_prefix3213528784805800034_count, type, prefix3213528784805800034_count : (option_list_o>extended_ereal)).
5.60/5.86	thf(ty_one, type, one : num).
5.60/5.86	thf(ty_numeral_numeral_real, type, numeral_numeral_real : (num>real)).
5.60/5.86	thf(ty_one_one_real, type, one_one_real : real).
5.60/5.86	thf(sP1,plain,sP1 <=> ((ord_le1083603963089353582_ereal @ (prefix3213528784805800034_count @ (prefix_Free_Code_N_e @ n))) @ (extended_ereal2 @ ((plus_plus_real @ ((times_times_real @ (numeral_numeral_real @ (bit0 @ one))) @ ((log @ (numeral_numeral_real @ (bit0 @ one))) @ ((plus_plus_real @ (semiri5074537144036343181t_real @ n)) @ one_one_real)))) @ one_one_real))),introduced(definition,[new_symbols(definition,[sP1])])).
5.60/5.86	thf(sP2,plain,sP2 <=> (![X1:nat]:((ord_le1083603963089353582_ereal @ (prefix3213528784805800034_count @ (prefix_Free_Code_N_e @ X1))) @ (extended_ereal2 @ ((plus_plus_real @ ((times_times_real @ (numeral_numeral_real @ (bit0 @ one))) @ ((log @ (numeral_numeral_real @ (bit0 @ one))) @ ((plus_plus_real @ (semiri5074537144036343181t_real @ X1)) @ one_one_real)))) @ one_one_real)))),introduced(definition,[new_symbols(definition,[sP2])])).
5.60/5.86	thf(conj_0,conjecture,sP1).
5.60/5.86	thf(h0,negated_conjecture,(~(sP1)),inference(assume_negation,[status(cth)],[conj_0])).
5.60/5.86	thf(1,plain,(~(sP2) | sP1),inference(all_rule,[status(thm)],[])).
5.60/5.86	thf(fact_0_exp__golomb__bit__count,axiom,sP2).
5.60/5.86	thf(2,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,h0,fact_0_exp__golomb__bit__count])).
5.60/5.86	thf(0,theorem,sP1,inference(contra,[status(thm),contra(discharge,[h0])],[2,h0])).
5.60/5.86	% SZS output end Proof
5.60/5.86	EOF