TSTP Solution File: ITP062^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP062^1 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 00:28:57 EDT 2022
% Result : Theorem 5.84s 6.05s
% Output : Proof 5.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP062^1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n023.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 : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 3 05:57:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 5.84/6.05 % SZS status Theorem
% 5.84/6.05 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 5.84/6.05 % Inferences: 3
% 5.84/6.05 % SZS output start Proof
% 5.84/6.05 thf(conj_0,conjecture,((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((minus_minus_real @ ((c @ p) @ t)) @ ((c @ p) @ s))) @ ((minus_minus_real @ ((d @ q) @ t)) @ ((d @ q) @ s))))) @ ((times_times_real @ ((times_times_real @ (numeral_numeral_real @ (bit0 @ one))) @ genClo1144207539le_rho)) @ ((minus_minus_real @ t) @ s)))).
% 5.84/6.05 thf(h0,negated_conjecture,(~(((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((minus_minus_real @ ((c @ p) @ t)) @ ((c @ p) @ s))) @ ((minus_minus_real @ ((d @ q) @ t)) @ ((d @ q) @ s))))) @ ((times_times_real @ ((times_times_real @ (numeral_numeral_real @ (bit0 @ one))) @ genClo1144207539le_rho)) @ ((minus_minus_real @ t) @ s))))),inference(assume_negation,[status(cth)],[conj_0])).
% 5.84/6.05 thf(pax53, axiom, (p53=>(fplus_plus_real @ fone_one_real @ fone_one_real)=(fnumeral_numeral_real @ (fbit0 @ fone))), file('<stdin>', pax53)).
% 5.84/6.05 thf(pax113, axiom, (p113=>![X103:real, X104:real]:(fabs_abs_real @ (fminus_minus_real @ X103 @ X104))=(fabs_abs_real @ (fminus_minus_real @ X104 @ X103))), file('<stdin>', pax113)).
% 5.84/6.05 thf(pax118, axiom, (p118=>![X98:real]:(ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ X98)=(fplus_plus_real @ X98 @ X98)), file('<stdin>', pax118)).
% 5.84/6.05 thf(ax114, axiom, p53, file('<stdin>', ax114)).
% 5.84/6.05 thf(pax108, axiom, (p108=>![X103:real, X104:real, X83:real]:(ftimes_times_real @ X103 @ (fminus_minus_real @ X104 @ X83))=(fminus_minus_real @ (ftimes_times_real @ X103 @ X104) @ (ftimes_times_real @ X103 @ X83))), file('<stdin>', pax108)).
% 5.84/6.05 thf(pax75, axiom, (p75=>![X106:real, X104:real, X83:real]:(fminus_minus_real @ X106 @ (fminus_minus_real @ X104 @ X83))=(fminus_minus_real @ (fplus_plus_real @ X106 @ X83) @ X104)), file('<stdin>', pax75)).
% 5.84/6.05 thf(nax160, axiom, (p160<=ford_less_eq_real @ (fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))) @ (ftimes_times_real @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))), file('<stdin>', nax160)).
% 5.84/6.05 thf(ax54, axiom, p113, file('<stdin>', ax54)).
% 5.84/6.05 thf(ax49, axiom, p118, file('<stdin>', ax49)).
% 5.84/6.05 thf(ax7, axiom, ~(p160), file('<stdin>', ax7)).
% 5.84/6.05 thf(pax4, axiom, (p4=>(fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho)))=(ftimes_times_real @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))), file('<stdin>', pax4)).
% 5.84/6.05 thf(ax59, axiom, p108, file('<stdin>', ax59)).
% 5.84/6.05 thf(ax92, axiom, p75, file('<stdin>', ax92)).
% 5.84/6.05 thf(ax163, axiom, p4, file('<stdin>', ax163)).
% 5.84/6.05 thf(pax3, axiom, (p3=>(fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))))=(fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))), file('<stdin>', pax3)).
% 5.84/6.05 thf(ax164, axiom, p3, file('<stdin>', ax164)).
% 5.84/6.05 thf(pax156, axiom, (p156=>![X1:real, X2:real]:(~(ford_less_eq_real @ X1 @ X2)=>ford_less_eq_real @ X2 @ X1)), file('<stdin>', pax156)).
% 5.84/6.05 thf(pax158, axiom, (p158=>![X1:real, X2:real, X3:real]:(ford_less_eq_real @ X1 @ X2=>(ford_less_eq_real @ X2 @ X3=>ford_less_eq_real @ X1 @ X3))), file('<stdin>', pax158)).
% 5.84/6.05 thf(ax11, axiom, p156, file('<stdin>', ax11)).
% 5.84/6.05 thf(pax143, axiom, (p143=>![X43:real, X45:real]:(~((~((X43)=(X45))=>~(ford_less_eq_real @ X43 @ X45)))=>~(ford_less_eq_real @ X45 @ X43))), file('<stdin>', pax143)).
% 5.84/6.05 thf(ax9, axiom, p158, file('<stdin>', ax9)).
% 5.84/6.05 thf(ax24, axiom, p143, file('<stdin>', ax24)).
% 5.84/6.05 thf(pax9, axiom, (p9=>ford_less_eq_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))), file('<stdin>', pax9)).
% 5.84/6.05 thf(pax5, axiom, (p5=>ford_less_eq_real @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho)))), file('<stdin>', pax5)).
% 5.84/6.05 thf(ax158, axiom, p9, file('<stdin>', ax158)).
% 5.84/6.05 thf(ax162, axiom, p5, file('<stdin>', ax162)).
% 5.84/6.05 thf(c_0_26, plain, (~p53|(fplus_plus_real @ fone_one_real @ fone_one_real)=(fnumeral_numeral_real @ (fbit0 @ fone))), inference(fof_nnf,[status(thm)],[pax53])).
% 5.84/6.05 thf(c_0_27, plain, ![X472:real, X473:real]:(~p113|(fabs_abs_real @ (fminus_minus_real @ X472 @ X473))=(fabs_abs_real @ (fminus_minus_real @ X473 @ X472))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax113])])])).
% 5.84/6.05 thf(c_0_28, plain, ![X458:real]:(~p118|(ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ X458)=(fplus_plus_real @ X458 @ X458)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax118])])])).
% 5.84/6.05 thf(c_0_29, plain, ((fplus_plus_real @ fone_one_real @ fone_one_real)=(fnumeral_numeral_real @ (fbit0 @ fone))|~p53), inference(split_conjunct,[status(thm)],[c_0_26])).
% 5.84/6.05 thf(c_0_30, plain, p53, inference(split_conjunct,[status(thm)],[ax114])).
% 5.84/6.05 thf(c_0_31, plain, ![X492:real, X493:real, X494:real]:(~p108|(ftimes_times_real @ X492 @ (fminus_minus_real @ X493 @ X494))=(fminus_minus_real @ (ftimes_times_real @ X492 @ X493) @ (ftimes_times_real @ X492 @ X494))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax108])])])).
% 5.84/6.05 thf(c_0_32, plain, ![X592:real, X593:real, X594:real]:(~p75|(fminus_minus_real @ X592 @ (fminus_minus_real @ X593 @ X594))=(fminus_minus_real @ (fplus_plus_real @ X592 @ X594) @ X593)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax75])])])).
% 5.84/6.05 thf(c_0_33, plain, (~ford_less_eq_real @ (fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))) @ (ftimes_times_real @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))|p160), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax160])])).
% 5.84/6.05 thf(c_0_34, plain, ![X2:real, X1:real]:((fabs_abs_real @ (fminus_minus_real @ X1 @ X2))=(fabs_abs_real @ (fminus_minus_real @ X2 @ X1))|~p113), inference(split_conjunct,[status(thm)],[c_0_27])).
% 5.84/6.05 thf(c_0_35, plain, p113, inference(split_conjunct,[status(thm)],[ax54])).
% 5.84/6.05 thf(c_0_36, plain, ![X1:real]:((ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ X1)=(fplus_plus_real @ X1 @ X1)|~p118), inference(split_conjunct,[status(thm)],[c_0_28])).
% 5.84/6.05 thf(c_0_37, plain, (fnumeral_numeral_real @ (fbit0 @ fone))=(fplus_plus_real @ fone_one_real @ fone_one_real), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29, c_0_30])])).
% 5.84/6.05 thf(c_0_38, plain, p118, inference(split_conjunct,[status(thm)],[ax49])).
% 5.84/6.05 thf(c_0_39, plain, ~p160, inference(fof_simplification,[status(thm)],[ax7])).
% 5.84/6.05 thf(c_0_40, plain, (~p4|(fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho)))=(ftimes_times_real @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))), inference(fof_nnf,[status(thm)],[pax4])).
% 5.84/6.05 thf(c_0_41, plain, ![X1:real, X2:real, X3:real]:((ftimes_times_real @ X1 @ (fminus_minus_real @ X2 @ X3))=(fminus_minus_real @ (ftimes_times_real @ X1 @ X2) @ (ftimes_times_real @ X1 @ X3))|~p108), inference(split_conjunct,[status(thm)],[c_0_31])).
% 5.84/6.05 thf(c_0_42, plain, p108, inference(split_conjunct,[status(thm)],[ax59])).
% 5.84/6.05 thf(c_0_43, plain, ![X1:real, X3:real, X2:real]:((fminus_minus_real @ X1 @ (fminus_minus_real @ X2 @ X3))=(fminus_minus_real @ (fplus_plus_real @ X1 @ X3) @ X2)|~p75), inference(split_conjunct,[status(thm)],[c_0_32])).
% 5.84/6.05 thf(c_0_44, plain, p75, inference(split_conjunct,[status(thm)],[ax92])).
% 5.84/6.05 thf(c_0_45, plain, (p160|~ford_less_eq_real @ (fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))) @ (ftimes_times_real @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))), inference(split_conjunct,[status(thm)],[c_0_33])).
% 5.84/6.05 thf(c_0_46, plain, ![X2:real, X1:real]:(fabs_abs_real @ (fminus_minus_real @ X1 @ X2))=(fabs_abs_real @ (fminus_minus_real @ X2 @ X1)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_35])])).
% 5.84/6.05 thf(c_0_47, plain, ![X1:real]:(ftimes_times_real @ (fplus_plus_real @ fone_one_real @ fone_one_real) @ X1)=(fplus_plus_real @ X1 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36, c_0_37]), c_0_38])])).
% 5.84/6.05 thf(c_0_48, plain, ~p160, inference(split_conjunct,[status(thm)],[c_0_39])).
% 5.84/6.05 thf(c_0_49, plain, ((fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho)))=(ftimes_times_real @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit0 @ fone)) @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))|~p4), inference(split_conjunct,[status(thm)],[c_0_40])).
% 5.84/6.05 thf(c_0_50, plain, ![X1:real, X2:real, X3:real]:(fminus_minus_real @ (ftimes_times_real @ X1 @ X2) @ (ftimes_times_real @ X1 @ X3))=(ftimes_times_real @ X1 @ (fminus_minus_real @ X2 @ X3)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_41, c_0_42])])).
% 5.84/6.05 thf(c_0_51, plain, ![X1:real, X3:real, X2:real]:(fminus_minus_real @ (fplus_plus_real @ X1 @ X2) @ X3)=(fminus_minus_real @ X1 @ (fminus_minus_real @ X3 @ X2)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_43, c_0_44])])).
% 5.84/6.05 thf(c_0_52, plain, p4, inference(split_conjunct,[status(thm)],[ax163])).
% 5.84/6.05 thf(c_0_53, plain, (~p3|(fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))))=(fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))), inference(fof_nnf,[status(thm)],[pax3])).
% 5.84/6.05 thf(c_0_54, plain, ~ford_less_eq_real @ (fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)) @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)))) @ (ftimes_times_real @ (fplus_plus_real @ fgenClo1144207539le_rho @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45, c_0_46]), c_0_37]), c_0_47]), c_0_48])).
% 5.84/6.05 thf(c_0_55, plain, (ftimes_times_real @ (fplus_plus_real @ fgenClo1144207539le_rho @ fgenClo1144207539le_rho) @ (fminus_minus_real @ ft @ fs))=(ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49, c_0_37]), c_0_47]), c_0_50]), c_0_51]), c_0_52])])).
% 5.84/6.05 thf(c_0_56, plain, ((fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))))=(fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))|~p3), inference(split_conjunct,[status(thm)],[c_0_53])).
% 5.84/6.05 thf(c_0_57, plain, p3, inference(split_conjunct,[status(thm)],[ax164])).
% 5.84/6.05 thf(c_0_58, plain, ![X158:real, X159:real]:(~p156|(ford_less_eq_real @ X158 @ X159|ford_less_eq_real @ X159 @ X158)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax156])])])])).
% 5.84/6.05 thf(c_0_59, plain, ![X148:real, X149:real, X150:real]:(~p158|(~ford_less_eq_real @ X148 @ X149|(~ford_less_eq_real @ X149 @ X150|ford_less_eq_real @ X148 @ X150))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax158])])])).
% 5.84/6.05 thf(c_0_60, plain, ~ford_less_eq_real @ (fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)) @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)))) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho))), inference(rw,[status(thm)],[c_0_54, c_0_55])).
% 5.84/6.05 thf(c_0_61, plain, (fabs_abs_real @ (fminus_minus_real @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)) @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs))))=(fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_56, c_0_46]), c_0_57])])).
% 5.84/6.05 thf(c_0_62, plain, ![X2:real, X1:real]:(ford_less_eq_real @ X1 @ X2|ford_less_eq_real @ X2 @ X1|~p156), inference(split_conjunct,[status(thm)],[c_0_58])).
% 5.84/6.05 thf(c_0_63, plain, p156, inference(split_conjunct,[status(thm)],[ax11])).
% 5.84/6.05 thf(c_0_64, plain, ![X286:real, X287:real]:(~p143|((X286)=(X287)|~ford_less_eq_real @ X286 @ X287|~ford_less_eq_real @ X287 @ X286)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax143])])])])).
% 5.84/6.05 thf(c_0_65, plain, ![X1:real, X2:real, X3:real]:(ford_less_eq_real @ X1 @ X3|~p158|~ford_less_eq_real @ X1 @ X2|~ford_less_eq_real @ X2 @ X3), inference(split_conjunct,[status(thm)],[c_0_59])).
% 5.84/6.05 thf(c_0_66, plain, p158, inference(split_conjunct,[status(thm)],[ax9])).
% 5.84/6.05 thf(c_0_67, plain, ~ford_less_eq_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho))), inference(rw,[status(thm)],[c_0_60, c_0_61])).
% 5.84/6.05 thf(c_0_68, plain, ![X2:real, X1:real]:(ford_less_eq_real @ X1 @ X2|ford_less_eq_real @ X2 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_62, c_0_63])])).
% 5.84/6.05 thf(c_0_69, plain, ![X2:real, X1:real]:((X1)=(X2)|~p143|~ford_less_eq_real @ X1 @ X2|~ford_less_eq_real @ X2 @ X1), inference(split_conjunct,[status(thm)],[c_0_64])).
% 5.84/6.05 thf(c_0_70, plain, p143, inference(split_conjunct,[status(thm)],[ax24])).
% 5.84/6.05 thf(c_0_71, plain, ![X1:real, X2:real, X3:real]:(ford_less_eq_real @ X1 @ X2|~ford_less_eq_real @ X3 @ X2|~ford_less_eq_real @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])).
% 5.84/6.05 thf(c_0_72, plain, ford_less_eq_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho))) @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))), inference(spm,[status(thm)],[c_0_67, c_0_68])).
% 5.84/6.05 thf(c_0_73, plain, (~p9|ford_less_eq_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))), inference(fof_nnf,[status(thm)],[pax9])).
% 5.84/6.05 thf(c_0_74, plain, (~p5|ford_less_eq_real @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho)))), inference(fof_nnf,[status(thm)],[pax5])).
% 5.84/6.05 thf(c_0_75, plain, ![X1:real, X2:real]:((X1)=(X2)|~ford_less_eq_real @ X2 @ X1|~ford_less_eq_real @ X1 @ X2), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_69, c_0_70])])).
% 5.84/6.05 thf(c_0_76, plain, ![X1:real]:(ford_less_eq_real @ X1 @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))|~ford_less_eq_real @ X1 @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho)))), inference(spm,[status(thm)],[c_0_71, c_0_72])).
% 5.84/6.05 thf(c_0_77, plain, (ford_less_eq_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))|~p9), inference(split_conjunct,[status(thm)],[c_0_73])).
% 5.84/6.05 thf(c_0_78, plain, p9, inference(split_conjunct,[status(thm)],[ax158])).
% 5.84/6.05 thf(c_0_79, plain, (ford_less_eq_real @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho)))|~p5), inference(split_conjunct,[status(thm)],[c_0_74])).
% 5.84/6.05 thf(c_0_80, plain, p5, inference(split_conjunct,[status(thm)],[ax162])).
% 5.84/6.05 thf(c_0_81, plain, ![X1:real]:((fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))=(X1)|~ford_less_eq_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ X1|~ford_less_eq_real @ X1 @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho)))), inference(spm,[status(thm)],[c_0_75, c_0_76])).
% 5.84/6.05 thf(c_0_82, plain, ford_less_eq_real @ (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77, c_0_78])])).
% 5.84/6.05 thf(c_0_83, plain, ford_less_eq_real @ (fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))) @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fminus_minus_real @ fone_one_real @ (fminus_minus_real @ (fminus_minus_real @ fone_one_real @ fgenClo1144207539le_rho) @ fgenClo1144207539le_rho))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79, c_0_50]), c_0_51]), c_0_80])])).
% 5.84/6.05 thf(c_0_84, plain, (fminus_minus_real @ (fminus_minus_real @ (fc @ fp @ ft) @ (fc @ fp @ fs)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs)))=(fminus_minus_real @ (ftimes_times_real @ (fminus_minus_real @ ft @ fs) @ (fplus_plus_real @ fone_one_real @ fgenClo1144207539le_rho)) @ (fminus_minus_real @ (fd @ fq @ ft) @ (fd @ fq @ fs))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_81, c_0_82]), c_0_83])])).
% 5.84/6.05 thf(c_0_85, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_84]), c_0_83])]), ['proof']).
% 5.84/6.05 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 5.84/6.05 thf(0,theorem,((ord_less_eq_real @ (abs_abs_real @ ((minus_minus_real @ ((minus_minus_real @ ((c @ p) @ t)) @ ((c @ p) @ s))) @ ((minus_minus_real @ ((d @ q) @ t)) @ ((d @ q) @ s))))) @ ((times_times_real @ ((times_times_real @ (numeral_numeral_real @ (bit0 @ one))) @ genClo1144207539le_rho)) @ ((minus_minus_real @ t) @ s))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 5.84/6.05 % SZS output end Proof
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