0.02/0.11	% Problem    : SLH0185^1 : TPTP v8.2.0. Released v8.2.0.
0.02/0.12	% Command    : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
0.12/0.33	Computer   : n027.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 04:09:16 EDT 2023
0.12/0.33	% CPUTime    : 
5.52/5.75	% SZS status Theorem
5.52/5.75	% Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
5.52/5.75	% Inferences: 42
5.52/5.75	% SZS output start Proof
5.52/5.75	thf(ty_real, type, real : $tType).
5.52/5.75	thf(ty_a, type, a : real).
5.52/5.75	thf(ty_b, type, b : real).
5.52/5.75	thf(ty_ord_less_real, type, ord_less_real : (real>real>$o)).
5.52/5.75	thf(ty_f, type, f : (real>real)).
5.52/5.75	thf(sP1,plain,sP1 <=> (![X1:real]:(![X2:real]:((~((X1 = X2))) => ((~(((ord_less_real @ X1) @ X2))) => ((ord_less_real @ X2) @ X1))))),introduced(definition,[new_symbols(definition,[sP1])])).
5.52/5.75	thf(sP2,plain,sP2 <=> (![X1:real]:((~(((f @ a) = X1))) => ((~(((ord_less_real @ (f @ a)) @ X1))) => ((ord_less_real @ X1) @ (f @ a))))),introduced(definition,[new_symbols(definition,[sP2])])).
5.52/5.75	thf(sP3,plain,sP3 <=> ((~(((ord_less_real @ (f @ a)) @ b))) => ((ord_less_real @ b) @ (f @ a))),introduced(definition,[new_symbols(definition,[sP3])])).
5.52/5.75	thf(sP4,plain,sP4 <=> ((~(((f @ a) = b))) => sP3),introduced(definition,[new_symbols(definition,[sP4])])).
5.52/5.75	thf(sP5,plain,sP5 <=> ((f @ a) = b),introduced(definition,[new_symbols(definition,[sP5])])).
5.52/5.75	thf(sP6,plain,sP6 <=> ((ord_less_real @ b) @ (f @ a)),introduced(definition,[new_symbols(definition,[sP6])])).
5.52/5.75	thf(sP7,plain,sP7 <=> ((ord_less_real @ (f @ a)) @ b),introduced(definition,[new_symbols(definition,[sP7])])).
5.52/5.75	thf(conj_0,conjecture,sP6).
5.52/5.75	thf(h0,negated_conjecture,(~(sP6)),inference(assume_negation,[status(cth)],[conj_0])).
5.52/5.75	thf(1,plain,(~(sP1) | sP2),inference(all_rule,[status(thm)],[])).
5.52/5.75	thf(2,plain,(~(sP2) | sP4),inference(all_rule,[status(thm)],[])).
5.52/5.75	thf(3,plain,((~(sP4) | sP5) | sP3),inference(prop_rule,[status(thm)],[])).
5.52/5.75	thf(4,plain,((~(sP3) | sP7) | sP6),inference(prop_rule,[status(thm)],[])).
5.52/5.75	thf(fact_218_linorder__neqE,axiom,sP1).
5.52/5.75	thf(fact_3_False,axiom,(~(sP7))).
5.52/5.75	thf(fact_2_f_I2_J,axiom,(~(sP5))).
5.52/5.75	thf(5,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,3,4,h0,fact_218_linorder__neqE,fact_3_False,fact_2_f_I2_J])).
5.52/5.75	thf(0,theorem,sP6,inference(contra,[status(thm),contra(discharge,[h0])],[5,h0])).
5.52/5.75	% SZS output end Proof
5.52/5.75	EOF