0.05/0.09	% Problem    : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.05/0.09	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.09/0.29	Computer   : n010.cluster.edu
0.09/0.29	Model      : x86_64 x86_64
0.09/0.29	CPUModel   : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.09/0.29	RAMPerCPU  : 8042.1875MB
0.09/0.29	OS         : Linux 3.10.0-693.el7.x86_64
0.09/0.29	% CPULimit   : 960
0.09/0.29	% DateTime   : Tue Aug  9 04:38:05 EDT 2022
0.09/0.29	% CPUTime    : 
36.99/36.35	% SZS status Theorem
36.99/36.35	% Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
36.99/36.35	% Inferences: 193
36.99/36.35	% SZS output start Proof
36.99/36.35	thf(ty_nat, type, nat : $tType).
36.99/36.35	thf(ty_real, type, real : $tType).
36.99/36.35	thf(ty_p, type, p : nat).
36.99/36.35	thf(ty_plus_plus_nat, type, plus_plus_nat : (nat>nat>nat)).
36.99/36.35	thf(ty_genClo1278781456e_beta, type, genClo1278781456e_beta : real).
36.99/36.35	thf(ty_abs_abs_real, type, abs_abs_real : (real>real)).
36.99/36.35	thf(ty_q, type, q : nat).
36.99/36.35	thf(ty_minus_minus_real, type, minus_minus_real : (real>real>real)).
36.99/36.35	thf(ty_ord_less_eq_real, type, ord_less_eq_real : (real>real>$o)).
36.99/36.35	thf(ty_genClo1015804716orrect, type, genClo1015804716orrect : (nat>real>$o)).
36.99/36.35	thf(ty_i, type, i : nat).
36.99/36.35	thf(ty_one_one_nat, type, one_one_nat : nat).
36.99/36.35	thf(ty_genClo1163638703lle_te, type, genClo1163638703lle_te : (nat>nat>real)).
36.99/36.35	thf(sP1,plain,sP1 <=> ((~((((genClo1015804716orrect @ p) @ ((genClo1163638703lle_te @ p) @ ((plus_plus_nat @ i) @ one_one_nat))) => (~(((genClo1015804716orrect @ q) @ ((genClo1163638703lle_te @ q) @ ((plus_plus_nat @ i) @ one_one_nat)))))))) => ((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((genClo1163638703lle_te @ p) @ ((plus_plus_nat @ i) @ one_one_nat))) @ ((genClo1163638703lle_te @ q) @ ((plus_plus_nat @ i) @ one_one_nat))))) @ genClo1278781456e_beta)),introduced(definition,[new_symbols(definition,[sP1])])).
36.99/36.35	thf(sP2,plain,sP2 <=> ((genClo1015804716orrect @ p) @ ((genClo1163638703lle_te @ p) @ ((plus_plus_nat @ i) @ one_one_nat))),introduced(definition,[new_symbols(definition,[sP2])])).
36.99/36.35	thf(sP3,plain,sP3 <=> (sP2 => (~(((genClo1015804716orrect @ q) @ ((genClo1163638703lle_te @ q) @ ((plus_plus_nat @ i) @ one_one_nat)))))),introduced(definition,[new_symbols(definition,[sP3])])).
36.99/36.35	thf(sP4,plain,sP4 <=> ((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((genClo1163638703lle_te @ p) @ ((plus_plus_nat @ i) @ one_one_nat))) @ ((genClo1163638703lle_te @ q) @ ((plus_plus_nat @ i) @ one_one_nat))))) @ genClo1278781456e_beta),introduced(definition,[new_symbols(definition,[sP4])])).
36.99/36.35	thf(sP5,plain,sP5 <=> (![X1:nat]:((~((((genClo1015804716orrect @ p) @ ((genClo1163638703lle_te @ p) @ X1)) => (~(((genClo1015804716orrect @ q) @ ((genClo1163638703lle_te @ q) @ X1))))))) => ((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((genClo1163638703lle_te @ p) @ X1)) @ ((genClo1163638703lle_te @ q) @ X1)))) @ genClo1278781456e_beta))),introduced(definition,[new_symbols(definition,[sP5])])).
36.99/36.35	thf(sP6,plain,sP6 <=> (![X1:nat]:(![X2:nat]:(![X3:nat]:((~((((genClo1015804716orrect @ X1) @ ((genClo1163638703lle_te @ X1) @ X3)) => (~(((genClo1015804716orrect @ X2) @ ((genClo1163638703lle_te @ X2) @ X3))))))) => ((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((genClo1163638703lle_te @ X1) @ X3)) @ ((genClo1163638703lle_te @ X2) @ X3)))) @ genClo1278781456e_beta))))),introduced(definition,[new_symbols(definition,[sP6])])).
36.99/36.35	thf(sP7,plain,sP7 <=> ((genClo1015804716orrect @ q) @ ((genClo1163638703lle_te @ q) @ ((plus_plus_nat @ i) @ one_one_nat))),introduced(definition,[new_symbols(definition,[sP7])])).
36.99/36.35	thf(sP8,plain,sP8 <=> (![X1:nat]:(![X2:nat]:((~((((genClo1015804716orrect @ p) @ ((genClo1163638703lle_te @ p) @ X2)) => (~(((genClo1015804716orrect @ X1) @ ((genClo1163638703lle_te @ X1) @ X2))))))) => ((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((genClo1163638703lle_te @ p) @ X2)) @ ((genClo1163638703lle_te @ X1) @ X2)))) @ genClo1278781456e_beta)))),introduced(definition,[new_symbols(definition,[sP8])])).
36.99/36.35	thf(conj_0,conjecture,sP4).
36.99/36.35	thf(h0,negated_conjecture,(~(sP4)),inference(assume_negation,[status(cth)],[conj_0])).
36.99/36.35	thf(1,plain,(~(sP6) | sP8),inference(all_rule,[status(thm)],[])).
36.99/36.35	thf(2,plain,(~(sP8) | sP5),inference(all_rule,[status(thm)],[])).
36.99/36.35	thf(3,plain,(~(sP5) | sP1),inference(all_rule,[status(thm)],[])).
36.99/36.35	thf(4,plain,((~(sP1) | sP3) | sP4),inference(prop_rule,[status(thm)],[])).
36.99/36.35	thf(5,plain,((~(sP3) | ~(sP2)) | ~(sP7)),inference(prop_rule,[status(thm)],[])).
36.99/36.35	thf(fact_1_corr__p,axiom,sP2).
36.99/36.35	thf(fact_2_corr__q__tq,axiom,sP7).
36.99/36.35	thf(fact_0_rts2b,axiom,sP6).
36.99/36.35	thf(6,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,5,fact_1_corr__p,fact_2_corr__q__tq,h0,fact_0_rts2b])).
36.99/36.35	thf(0,theorem,sP4,inference(contra,[status(thm),contra(discharge,[h0])],[6,h0])).
36.99/36.35	% SZS output end Proof
36.99/36.35	EOF