0.12/0.12	% Problem  : SLH0023^1 : TPTP v8.2.0. Released v8.2.0.
0.12/0.13	% Command  : lash -P picomus -M modes -p tstp -t %d %s
0.12/0.33	% Computer : n021.cluster.edu
0.12/0.33	% Model    : x86_64 x86_64
0.12/0.33	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.12/0.33	% Memory   : 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	% WCLimit  : 30
0.12/0.33	% DateTime : Mon Jul  3 03:18:52 EDT 2023
0.12/0.33	% CPUTime  : 
15.26/15.61	% SZS status Theorem
15.26/15.61	% Mode: cade22sinegrackle2xfaf3
15.26/15.61	% Steps: 612
15.26/15.61	% SZS output start Proof
15.26/15.61	thf(ty_real, type, real : $tType).
15.26/15.61	thf(ty_one_one_real, type, one_one_real : real).
15.26/15.61	thf(ty_divide_divide_real, type, divide_divide_real : (real>real>real)).
15.26/15.61	thf(ty_plus_plus_real, type, plus_plus_real : (real>real>real)).
15.26/15.61	thf(ty_ord_less_real, type, ord_less_real : (real>real>$o)).
15.26/15.61	thf(ty_zero_zero_real, type, zero_zero_real : real).
15.26/15.61	thf(ty_i, type, i : real).
15.26/15.61	thf(sP1,plain,sP1 <=> (((ord_less_real @ zero_zero_real) @ ((divide_divide_real @ one_one_real) @ ((plus_plus_real @ one_one_real) @ i))) = ((ord_less_real @ zero_zero_real) @ ((plus_plus_real @ one_one_real) @ i))),introduced(definition,[new_symbols(definition,[sP1])])).
15.26/15.61	thf(sP2,plain,sP2 <=> ((ord_less_real @ zero_zero_real) @ ((divide_divide_real @ one_one_real) @ ((plus_plus_real @ one_one_real) @ i))),introduced(definition,[new_symbols(definition,[sP2])])).
15.26/15.61	thf(sP3,plain,sP3 <=> ((ord_less_real @ zero_zero_real) @ ((plus_plus_real @ one_one_real) @ i)),introduced(definition,[new_symbols(definition,[sP3])])).
15.26/15.61	thf(sP4,plain,sP4 <=> (![X1:real]:(((ord_less_real @ zero_zero_real) @ ((divide_divide_real @ one_one_real) @ X1)) = ((ord_less_real @ zero_zero_real) @ X1))),introduced(definition,[new_symbols(definition,[sP4])])).
15.26/15.61	thf(conj_0,conjecture,sP2).
15.26/15.61	thf(h0,negated_conjecture,(~(sP2)),inference(assume_negation,[status(cth)],[conj_0])).
15.26/15.61	thf(1,plain,((~(sP1) | sP2) | ~(sP3)),inference(prop_rule,[status(thm)],[])).
15.26/15.61	thf(2,plain,(~(sP4) | sP1),inference(all_rule,[status(thm)],[])).
15.26/15.61	thf(fact_8_zero__less__divide__1__iff,axiom,sP4).
15.26/15.61	thf(fact_0_v__futr__pos,axiom,sP3).
15.26/15.61	thf(3,plain,$false,inference(prop_unsat,[status(thm),assumptions([h0])],[1,2,h0,fact_8_zero__less__divide__1__iff,fact_0_v__futr__pos])).
15.26/15.61	thf(0,theorem,sP2,inference(contra,[status(thm),contra(discharge,[h0])],[3,h0])).
15.26/15.61	% SZS output end Proof
15.26/15.61	EOF