0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s 0.14/0.35 Computer : n010.cluster.edu 0.14/0.35 Model : x86_64 x86_64 0.14/0.35 CPUModel : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 RAMPerCPU : 8042.1875MB 0.14/0.35 OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 960 0.14/0.35 % DateTime : Tue Aug 9 07:19:05 EDT 2022 0.14/0.35 % CPUTime : 80.45/80.33 % SZS status Theorem 80.45/80.33 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0 80.45/80.33 % Inferences: 0 80.45/80.33 % SZS output start Proof 80.45/80.33 thf(conj_0,conjecture,((ord_less_nat @ x) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg))). 80.45/80.33 thf(h0,negated_conjecture,(~(((ord_less_nat @ x) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)))),inference(assume_negation,[status(cth)],[conj_0])). 80.45/80.33 tff(pax3139, axiom, (p3139=>![X17:nat, X18:nat, X19:nat]:(ford_less_nat @ X17 @ X18=>(ford_less_eq_nat @ X19 @ X17=>ford_less_nat @ (fminus_minus_nat @ X17 @ X19) @ (fminus_minus_nat @ X18 @ X19)))), file('', pax3139)). 80.45/80.33 tff(pax1604, axiom, (p1604=>![X1643:nat, X1641:nat]:(ford_less_eq_nat @ X1643 @ X1641=>(fminus_minus_nat @ X1643 @ X1641)=(fzero_zero_nat))), file('', pax1604)). 80.45/80.33 tff(pax1518, axiom, (p1518=>![X1743:nat]:~(ford_less_nat @ X1743 @ fzero_zero_nat)), file('', pax1518)). 80.45/80.33 fof(ax10, axiom, p3139, file('', ax10)). 80.45/80.33 fof(ax1545, axiom, p1604, file('', ax1545)). 80.45/80.33 fof(ax1631, axiom, p1518, file('', ax1631)). 80.45/80.33 tff(nax2858, axiom, (p2858<=(ford_less_eq_nat @ fx @ fma=>~(ford_less_eq_nat @ fmi @ fx))), file('', nax2858)). 80.45/80.33 fof(ax291, axiom, ~(p2858), file('', ax291)). 80.45/80.33 tff(pax2748, axiom, (p2748=>ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), file('', pax2748)). 80.45/80.33 tff(nax1, axiom, (p1<=ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), file('', nax1)). 80.45/80.33 fof(ax3148, axiom, ~(p1), file('', ax3148)). 80.45/80.33 tff(pax2280, axiom, (p2280=>![X928:nat, X929:nat]:(~(ford_less_eq_nat @ X928 @ X929)=>ford_less_nat @ X929 @ X928)), file('', pax2280)). 80.45/80.33 fof(ax401, axiom, p2748, file('', ax401)). 80.45/80.33 fof(ax869, axiom, p2280, file('', ax869)). 80.45/80.33 tff(c_0_14, plain, ![X3479:nat, X3480:nat, X3481:nat]:(~p3139|(~ford_less_nat @ X3479 @ X3480|(~ford_less_eq_nat @ X3481 @ X3479|ford_less_nat @ (fminus_minus_nat @ X3479 @ X3481) @ (fminus_minus_nat @ X3480 @ X3481)))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax3139])])])). 80.45/80.33 tff(c_0_15, plain, ![X7489:nat, X7490:nat]:(~p1604|(~ford_less_eq_nat @ X7489 @ X7490|(fminus_minus_nat @ X7489 @ X7490)=(fzero_zero_nat))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1604])])])). 80.45/80.33 tff(c_0_16, plain, ![X7739:nat]:(~p1518|~ford_less_nat @ X7739 @ fzero_zero_nat), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax1518])])])])). 80.45/80.33 thf(c_0_17, plain, ![X2:nat, X3:nat, X6:nat]:(ford_less_nat @ (fminus_minus_nat @ X2 @ X6) @ (fminus_minus_nat @ X3 @ X6)|~p3139|~ford_less_nat @ X2 @ X3|~ford_less_eq_nat @ X6 @ X2), inference(split_conjunct,[status(thm)],[c_0_14])). 80.45/80.33 thf(c_0_18, plain, (p3139), inference(split_conjunct,[status(thm)],[ax10])). 80.45/80.33 thf(c_0_19, plain, ![X3:nat, X2:nat]:((fminus_minus_nat @ X2 @ X3)=(fzero_zero_nat)|~p1604|~ford_less_eq_nat @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_15])). 80.45/80.33 thf(c_0_20, plain, (p1604), inference(split_conjunct,[status(thm)],[ax1545])). 80.45/80.33 thf(c_0_21, plain, ![X2:nat]:(~p1518|~ford_less_nat @ X2 @ fzero_zero_nat), inference(split_conjunct,[status(thm)],[c_0_16])). 80.45/80.33 thf(c_0_22, plain, (p1518), inference(split_conjunct,[status(thm)],[ax1631])). 80.45/80.33 tff(c_0_23, plain, ((ford_less_eq_nat @ fx @ fma|p2858)&(ford_less_eq_nat @ fmi @ fx|p2858)), inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2858])])])). 80.45/80.33 fof(c_0_24, plain, ~p2858, inference(fof_simplification,[status(thm)],[ax291])). 80.45/80.33 thf(c_0_25, plain, ![X6:nat, X3:nat, X2:nat]:(ford_less_nat @ (fminus_minus_nat @ X2 @ X3) @ (fminus_minus_nat @ X6 @ X3)|~ford_less_eq_nat @ X3 @ X2|~ford_less_nat @ X2 @ X6), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])). 80.45/80.33 thf(c_0_26, plain, ![X3:nat, X2:nat]:((fminus_minus_nat @ X2 @ X3)=(fzero_zero_nat)|~ford_less_eq_nat @ X2 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_19, c_0_20])])). 80.45/80.33 thf(c_0_27, plain, ![X2:nat]:~ford_less_nat @ X2 @ fzero_zero_nat, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_21, c_0_22])])). 80.45/80.33 thf(c_0_28, plain, (ford_less_eq_nat @ fx @ fma|p2858), inference(split_conjunct,[status(thm)],[c_0_23])). 80.45/80.33 thf(c_0_29, plain, (~p2858), inference(split_conjunct,[status(thm)],[c_0_24])). 80.45/80.33 tff(c_0_30, plain, (~p2748|ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), inference(fof_nnf,[status(thm)],[pax2748])). 80.45/80.33 tff(c_0_31, plain, (~ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])). 80.45/80.33 fof(c_0_32, plain, ~p1, inference(fof_simplification,[status(thm)],[ax3148])). 80.45/80.33 tff(c_0_33, plain, ![X5741:nat, X5742:nat]:(~p2280|(ford_less_eq_nat @ X5741 @ X5742|ford_less_nat @ X5742 @ X5741)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax2280])])])])). 80.45/80.33 thf(c_0_34, plain, ![X2:nat, X6:nat, X3:nat]:(~ford_less_eq_nat @ X2 @ X3|~ford_less_eq_nat @ X6 @ X2|~ford_less_nat @ X3 @ X6), inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_25, c_0_26]), c_0_27])). 80.45/80.33 thf(c_0_35, plain, ford_less_eq_nat @ fx @ fma, inference(sr,[status(thm)],[c_0_28, c_0_29])). 80.45/80.33 thf(c_0_36, plain, (ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)|~p2748), inference(split_conjunct,[status(thm)],[c_0_30])). 80.45/80.33 thf(c_0_37, plain, (p2748), inference(split_conjunct,[status(thm)],[ax401])). 80.45/80.33 thf(c_0_38, plain, (p1|~ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg)), inference(split_conjunct,[status(thm)],[c_0_31])). 80.45/80.33 thf(c_0_39, plain, (~p1), inference(split_conjunct,[status(thm)],[c_0_32])). 80.45/80.33 thf(c_0_40, plain, ![X2:nat, X3:nat]:(ford_less_eq_nat @ X2 @ X3|ford_less_nat @ X3 @ X2|~p2280), inference(split_conjunct,[status(thm)],[c_0_33])). 80.45/80.33 thf(c_0_41, plain, (p2280), inference(split_conjunct,[status(thm)],[ax869])). 80.45/80.33 thf(c_0_42, plain, ![X2:nat]:(~ford_less_eq_nat @ X2 @ fx|~ford_less_nat @ fma @ X2), inference(spm,[status(thm)],[c_0_34, c_0_35])). 80.45/80.33 thf(c_0_43, plain, ford_less_nat @ fma @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37])])). 80.45/80.33 thf(c_0_44, plain, ~ford_less_nat @ fx @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg), inference(sr,[status(thm)],[c_0_38, c_0_39])). 80.45/80.33 thf(c_0_45, plain, ![X2:nat, X3:nat]:(ford_less_eq_nat @ X2 @ X3|ford_less_nat @ X3 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_41])])). 80.45/80.33 thf(c_0_46, plain, ~ford_less_eq_nat @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg) @ fx, inference(spm,[status(thm)],[c_0_42, c_0_43])). 80.45/80.33 thf(c_0_47, plain, ford_less_eq_nat @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ fdeg) @ fx, inference(spm,[status(thm)],[c_0_44, c_0_45])). 80.45/80.33 thf(c_0_48, plain, ($false), inference(cdclpropres,[status(thm)],[c_0_46, c_0_47]), ['proof']). 80.45/80.33 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])). 80.45/80.33 thf(0,theorem,((ord_less_nat @ x) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ deg)),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])). 80.45/80.33 % SZS output end Proof 80.45/80.34 EOF