0.03/0.12	% Problem  : theBenchmark.p : TPTP v0.0.0. Released v0.0.0.
0.03/0.13	% Command  : lash -P picomus -M modes -p tstp -t %d %s
0.13/0.34	% Computer : n017.cluster.edu
0.13/0.34	% Model    : x86_64 x86_64
0.13/0.34	% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
0.13/0.34	% Memory   : 8042.1875MB
0.13/0.34	% OS       : Linux 3.10.0-693.el7.x86_64
0.13/0.34	% CPULimit : 960
0.13/0.34	% WCLimit  : 120
0.13/0.34	% DateTime : Tue Aug  9 05:36:00 EDT 2022
0.13/0.34	% CPUTime  : 
90.25/90.21	% SZS status Theorem
90.25/90.21	% Mode: cade22grackle2x1e4e
90.25/90.21	% Steps: 522542
90.25/90.21	% SZS output start Proof
90.25/90.21	thf(ty_nat, type, nat : $tType).
90.25/90.21	thf(ty_real, type, real : $tType).
90.25/90.21	thf(ty_num, type, num : $tType).
90.25/90.21	thf(ty_bit0, type, bit0 : (num>num)).
90.25/90.21	thf(ty_va, type, va : nat).
90.25/90.21	thf(ty_cos_real, type, cos_real : (real>real)).
90.25/90.21	thf(ty_one, type, one : num).
90.25/90.21	thf(ty_vEBT_vebt_buildup, type, vEBT_vebt_buildup : (nat>vEBT_VEBT)).
90.25/90.21	thf(ty_suc, type, suc : (nat>nat)).
90.25/90.21	thf(ty_eigen__0, type, eigen__0 : real).
90.25/90.21	thf(ty_ord_less_eq_real, type, ord_less_eq_real : (real>real>$o)).
90.25/90.21	thf(ty_numeral_numeral_nat, type, numeral_numeral_nat : (num>nat)).
90.25/90.21	thf(ty_divide_divide_nat, type, divide_divide_nat : (nat>nat>nat)).
90.25/90.21	thf(ty_zero_zero_real, type, zero_zero_real : real).
90.25/90.21	thf(ty_vEBT_VEBT_membermima, type, vEBT_VEBT_membermima : (vEBT_VEBT>nat>$o)).
90.25/90.21	thf(ty_dvd_dvd_nat, type, dvd_dvd_nat : (nat>nat>$o)).
90.25/90.21	thf(ty_numeral_numeral_real, type, numeral_numeral_real : (num>real)).
90.25/90.21	thf(ty_y, type, y : nat).
90.25/90.21	thf(sP1,plain,sP1 <=> (![X1:nat]:(![X2:nat]:(((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ (suc @ (suc @ va))) => ((X1 = ((divide_divide_nat @ (suc @ (suc @ va))) @ (numeral_numeral_nat @ (bit0 @ one)))) => (~(((vEBT_VEBT_membermima @ (vEBT_vebt_buildup @ X1)) @ X2))))))),introduced(definition,[new_symbols(definition,[sP1])])).
90.25/90.21	thf(sP2,plain,sP2 <=> (((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ (suc @ (suc @ va))) => (~(((vEBT_VEBT_membermima @ (vEBT_vebt_buildup @ ((divide_divide_nat @ (suc @ (suc @ va))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ y)))),introduced(definition,[new_symbols(definition,[sP2])])).
90.25/90.21	thf(sP3,plain,sP3 <=> (![X1:nat]:(((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ (suc @ (suc @ va))) => (~(((vEBT_VEBT_membermima @ (vEBT_vebt_buildup @ ((divide_divide_nat @ (suc @ (suc @ va))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ X1))))),introduced(definition,[new_symbols(definition,[sP3])])).
90.25/90.21	thf(sP4,plain,sP4 <=> ((dvd_dvd_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ (suc @ (suc @ va))),introduced(definition,[new_symbols(definition,[sP4])])).
90.25/90.21	thf(sP5,plain,sP5 <=> ((vEBT_VEBT_membermima @ (vEBT_vebt_buildup @ ((divide_divide_nat @ (suc @ (suc @ va))) @ (numeral_numeral_nat @ (bit0 @ one))))) @ y),introduced(definition,[new_symbols(definition,[sP5])])).
90.25/90.21	thf(conj_0,conjecture,(~(sP5))).
90.25/90.21	thf(h0,negated_conjecture,sP5,inference(assume_negation,[status(cth)],[conj_0])).
90.25/90.21	thf(h1,assumption,(~(((~(((~(((![X1:real]:((~(((~((((ord_less_eq_real @ zero_zero_real) @ X1) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (X1 = eigen__0))) => (~(((cos_real @ eigen__0) = zero_zero_real)))))) => (~(((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ eigen__0)))))),introduced(assumption,[])).
90.25/90.21	thf(h2,assumption,(~(((~(((![X1:real]:((~(((~((((ord_less_eq_real @ zero_zero_real) @ X1) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (X1 = eigen__0))) => (~(((cos_real @ eigen__0) = zero_zero_real)))))) => (~(((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one)))))))),introduced(assumption,[])).
90.25/90.21	thf(h3,assumption,((ord_less_eq_real @ zero_zero_real) @ eigen__0),introduced(assumption,[])).
90.25/90.21	thf(h4,assumption,(~(((![X1:real]:((~(((~((((ord_less_eq_real @ zero_zero_real) @ X1) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (X1 = eigen__0))) => (~(((cos_real @ eigen__0) = zero_zero_real)))))),introduced(assumption,[])).
90.25/90.21	thf(h5,assumption,((ord_less_eq_real @ eigen__0) @ (numeral_numeral_real @ (bit0 @ one))),introduced(assumption,[])).
90.25/90.21	thf(h6,assumption,(![X1:real]:((~(((~((((ord_less_eq_real @ zero_zero_real) @ X1) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (X1 = eigen__0))),introduced(assumption,[])).
90.25/90.21	thf(h7,assumption,((cos_real @ eigen__0) = zero_zero_real),introduced(assumption,[])).
90.25/90.21	thf(1,plain,((~(sP2) | ~(sP4)) | ~(sP5)),inference(prop_rule,[status(thm)],[])).
90.25/90.21	thf(2,plain,(~(sP3) | sP2),inference(all_rule,[status(thm)],[])).
90.25/90.21	thf(3,plain,(~(sP1) | sP3),inference(all_rule,[status(thm)],[])).
90.25/90.21	thf(fact_1__C3_OIH_C_I1_J,axiom,sP1).
90.25/90.21	thf(fact_0_True,axiom,sP4).
90.25/90.21	thf(4,plain,$false,inference(prop_unsat,[status(thm),assumptions([h6,h7,h4,h5,h2,h3,h1,h0])],[1,2,3,fact_1__C3_OIH_C_I1_J,fact_0_True,h0])).
90.25/90.21	thf(5,plain,$false,inference(tab_negimp,[status(thm),assumptions([h4,h5,h2,h3,h1,h0]),tab_negimp(discharge,[h6,h7])],[h4,4,h6,h7])).
90.25/90.21	thf(6,plain,$false,inference(tab_negimp,[status(thm),assumptions([h2,h3,h1,h0]),tab_negimp(discharge,[h4,h5])],[h2,5,h4,h5])).
90.25/90.21	thf(7,plain,$false,inference(tab_negimp,[status(thm),assumptions([h1,h0]),tab_negimp(discharge,[h2,h3])],[h1,6,h2,h3])).
90.25/90.21	thf(fact_6287_cos__is__zero,axiom,(~((![X1:real]:((~(((~(((![X2:real]:((~(((~((((ord_less_eq_real @ zero_zero_real) @ X2) => (~(((cos_real @ X2) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X2) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (X2 = X1))) => (~(((cos_real @ X1) = zero_zero_real)))))) => (~(((ord_less_eq_real @ X1) @ (numeral_numeral_real @ (bit0 @ one)))))))) => (~(((ord_less_eq_real @ zero_zero_real) @ X1)))))))).
90.25/90.21	thf(8,plain,$false,inference(tab_negall,[status(thm),assumptions([h0]),tab_negall(discharge,[h1]),tab_negall(eigenvar,eigen__0)],[fact_6287_cos__is__zero,7,h1])).
90.25/90.21	thf(0,theorem,(~(sP5)),inference(contra,[status(thm),contra(discharge,[h0])],[8,h0])).
90.25/90.21	% SZS output end Proof
90.25/90.22	EOF