TSTP Solution File: ITP280^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP280^1 : TPTP v8.1.0. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% Computer : n032.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 00:30:29 EDT 2022
% Result : Theorem 46.50s 46.87s
% Output : Proof 46.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : ITP280^1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.09 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.09/0.28 % Computer : n032.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Thu Jun 2 14:28:15 EDT 2022
% 0.09/0.29 % CPUTime :
% 46.50/46.87 % SZS status Theorem
% 46.50/46.87 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 46.50/46.87 % Inferences: 0
% 46.50/46.87 % SZS output start Proof
% 46.50/46.87 thf(conj_0,conjecture,((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ ((divide_divide_nat @ va) @ (numeral_numeral_nat @ (bit0 @ one)))))))) @ ((times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ ((divide_divide_nat @ va) @ (numeral_numeral_nat @ (bit0 @ one)))))))))).
% 46.50/46.87 thf(h0,negated_conjecture,(~(((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ ((divide_divide_nat @ va) @ (numeral_numeral_nat @ (bit0 @ one)))))))) @ ((times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ ((divide_divide_nat @ va) @ (numeral_numeral_nat @ (bit0 @ one))))))))))),inference(assume_negation,[status(cth)],[conj_0])).
% 46.50/46.87 thf(pax940, axiom, (p940=>(fsuc @ fone_one_nat)=(fnumeral_numeral_nat @ (fbit0 @ fone))), file('<stdin>', pax940)).
% 46.50/46.87 thf(pax7, axiom, (p7=>![X1873:nat]:(fdivide_divide_nat @ (fsuc @ (fsuc @ X1873)) @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fsuc @ (fdivide_divide_nat @ X1873 @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), file('<stdin>', pax7)).
% 46.50/46.87 thf(ax641, axiom, p940, file('<stdin>', ax641)).
% 46.50/46.87 thf(nax2, axiom, (p2<=fdvd_dvd_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fsuc @ (fsuc @ fva))), file('<stdin>', nax2)).
% 46.50/46.87 thf(ax1579, axiom, ~(p2), file('<stdin>', ax1579)).
% 46.50/46.87 thf(pax751, axiom, (p751=>![X928:real, X929:real, X930:real]:(ftimes_times_real @ X928 @ (ftimes_times_real @ X929 @ X930))=(ftimes_times_real @ X929 @ (ftimes_times_real @ X928 @ X930))), file('<stdin>', pax751)).
% 46.50/46.87 thf(pax777, axiom, (p777=>![X898:real]:(ftimes_times_real @ X898 @ fone_one_real)=(X898)), file('<stdin>', pax777)).
% 46.50/46.87 thf(pax3, axiom, (p3=>![X1875:nat]:(~(fdvd_dvd_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fsuc @ (fsuc @ fva)))=>((X1875)=(fdivide_divide_nat @ (fsuc @ (fsuc @ fva)) @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=>ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ X1875))) @ (ftimes_times_real @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ X1875))) @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))))))), file('<stdin>', pax3)).
% 46.50/46.87 thf(ax1574, axiom, p7, file('<stdin>', ax1574)).
% 46.50/46.87 thf(ax830, axiom, p751, file('<stdin>', ax830)).
% 46.50/46.87 thf(ax804, axiom, p777, file('<stdin>', ax804)).
% 46.50/46.87 thf(nax1, axiom, (p1<=ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fnumeral_numeral_nat @ (fbit0 @ fone))))))) @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))) @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fnumeral_numeral_nat @ (fbit0 @ fone))))))))), file('<stdin>', nax1)).
% 46.50/46.87 thf(ax1580, axiom, ~(p1), file('<stdin>', ax1580)).
% 46.50/46.87 thf(ax1578, axiom, p3, file('<stdin>', ax1578)).
% 46.50/46.87 thf(c_0_14, plain, (~p940|(fsuc @ fone_one_nat)=(fnumeral_numeral_nat @ (fbit0 @ fone))), inference(fof_nnf,[status(thm)],[pax940])).
% 46.50/46.87 thf(c_0_15, plain, ![X6620:nat]:(~p7|(fdivide_divide_nat @ (fsuc @ (fsuc @ X6620)) @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fsuc @ (fdivide_divide_nat @ X6620 @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax7])])])).
% 46.50/46.87 thf(c_0_16, plain, ((fsuc @ fone_one_nat)=(fnumeral_numeral_nat @ (fbit0 @ fone))|~p940), inference(split_conjunct,[status(thm)],[c_0_14])).
% 46.50/46.87 thf(c_0_17, plain, p940, inference(split_conjunct,[status(thm)],[ax641])).
% 46.50/46.87 thf(c_0_18, plain, (~fdvd_dvd_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fsuc @ (fsuc @ fva))|p2), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax2])])).
% 46.50/46.87 thf(c_0_19, plain, ~p2, inference(fof_simplification,[status(thm)],[ax1579])).
% 46.50/46.87 thf(c_0_20, plain, ![X4214:real, X4215:real, X4216:real]:(~p751|(ftimes_times_real @ X4214 @ (ftimes_times_real @ X4215 @ X4216))=(ftimes_times_real @ X4215 @ (ftimes_times_real @ X4214 @ X4216))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax751])])])).
% 46.50/46.87 thf(c_0_21, plain, ![X4146:real]:(~p777|(ftimes_times_real @ X4146 @ fone_one_real)=(X4146)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax777])])])).
% 46.50/46.87 thf(c_0_22, plain, ![X6628:nat]:(~p3|(fdvd_dvd_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fsuc @ (fsuc @ fva))|((X6628)!=(fdivide_divide_nat @ (fsuc @ (fsuc @ fva)) @ (fnumeral_numeral_nat @ (fbit0 @ fone)))|ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ X6628))) @ (ftimes_times_real @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ X6628))) @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))))))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax3])])])])).
% 46.50/46.87 thf(c_0_23, plain, ![X1:nat]:((fdivide_divide_nat @ (fsuc @ (fsuc @ X1)) @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fsuc @ (fdivide_divide_nat @ X1 @ (fnumeral_numeral_nat @ (fbit0 @ fone))))|~p7), inference(split_conjunct,[status(thm)],[c_0_15])).
% 46.50/46.87 thf(c_0_24, plain, (fnumeral_numeral_nat @ (fbit0 @ fone))=(fsuc @ fone_one_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_16, c_0_17])])).
% 46.50/46.87 thf(c_0_25, plain, p7, inference(split_conjunct,[status(thm)],[ax1574])).
% 46.50/46.87 thf(c_0_26, plain, (p2|~fdvd_dvd_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fsuc @ (fsuc @ fva))), inference(split_conjunct,[status(thm)],[c_0_18])).
% 46.50/46.87 thf(c_0_27, plain, ~p2, inference(split_conjunct,[status(thm)],[c_0_19])).
% 46.50/46.87 thf(c_0_28, plain, ![X7:real, X8:real, X11:real]:((ftimes_times_real @ X7 @ (ftimes_times_real @ X8 @ X11))=(ftimes_times_real @ X8 @ (ftimes_times_real @ X7 @ X11))|~p751), inference(split_conjunct,[status(thm)],[c_0_20])).
% 46.50/46.87 thf(c_0_29, plain, p751, inference(split_conjunct,[status(thm)],[ax830])).
% 46.50/46.87 thf(c_0_30, plain, ![X7:real]:((ftimes_times_real @ X7 @ fone_one_real)=(X7)|~p777), inference(split_conjunct,[status(thm)],[c_0_21])).
% 46.50/46.87 thf(c_0_31, plain, p777, inference(split_conjunct,[status(thm)],[ax804])).
% 46.50/46.87 thf(c_0_32, plain, (~ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fnumeral_numeral_nat @ (fbit0 @ fone))))))) @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))) @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fnumeral_numeral_nat @ (fbit0 @ fone))))))))|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 46.50/46.87 thf(c_0_33, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1580])).
% 46.50/46.87 thf(c_0_34, plain, ![X1:nat]:(fdvd_dvd_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fsuc @ (fsuc @ fva))|ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ X1))) @ (ftimes_times_real @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ X1))) @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))))|~p3|(X1)!=(fdivide_divide_nat @ (fsuc @ (fsuc @ fva)) @ (fnumeral_numeral_nat @ (fbit0 @ fone)))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 46.50/46.87 thf(c_0_35, plain, ![X1:nat]:(fdivide_divide_nat @ (fsuc @ (fsuc @ X1)) @ (fsuc @ fone_one_nat))=(fsuc @ (fdivide_divide_nat @ X1 @ (fsuc @ fone_one_nat))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24]), c_0_24]), c_0_25])])).
% 46.50/46.87 thf(c_0_36, plain, p3, inference(split_conjunct,[status(thm)],[ax1578])).
% 46.50/46.87 thf(c_0_37, plain, ~fdvd_dvd_nat @ (fsuc @ fone_one_nat) @ (fsuc @ (fsuc @ fva)), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_24]), c_0_27])).
% 46.50/46.87 thf(c_0_38, plain, ![X7:real, X8:real, X11:real]:(ftimes_times_real @ X7 @ (ftimes_times_real @ X8 @ X11))=(ftimes_times_real @ X8 @ (ftimes_times_real @ X7 @ X11)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 46.50/46.87 thf(c_0_39, plain, ![X7:real]:(ftimes_times_real @ X7 @ fone_one_real)=(X7), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_30, c_0_31])])).
% 46.50/46.87 thf(c_0_40, plain, (p1|~ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fnumeral_numeral_nat @ (fbit0 @ fone))))))) @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))) @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fnumeral_numeral_nat @ (fbit0 @ fone))))))))), inference(split_conjunct,[status(thm)],[c_0_32])).
% 46.50/46.87 thf(c_0_41, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_33])).
% 46.50/46.87 thf(c_0_42, plain, ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fsuc @ fone_one_nat)))))) @ (ftimes_times_real @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fsuc @ fone_one_nat)))))) @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone))))), inference(er,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34, c_0_24]), c_0_24]), c_0_35]), c_0_36])]), c_0_37])])).
% 46.50/46.87 thf(c_0_43, plain, ![X8:real, X7:real]:(ftimes_times_real @ X7 @ X8)=(ftimes_times_real @ X8 @ X7), inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_38, c_0_39]), c_0_39])).
% 46.50/46.87 thf(c_0_44, plain, ~ford_less_eq_real @ (fsemiri5074537144036343181t_real @ (fvEBT_V8646137997579335489_i_l_d @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fsuc @ fone_one_nat)))))) @ (ftimes_times_real @ (fnumeral_numeral_real @ (fbit1 @ (fbit0 @ (fbit1 @ fone)))) @ (fvEBT_VEBT_cnt @ (fvEBT_vebt_buildup @ (fsuc @ (fsuc @ (fdivide_divide_nat @ fva @ (fsuc @ fone_one_nat))))))), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40, c_0_24]), c_0_24]), c_0_41])).
% 46.50/46.87 thf(c_0_45, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43]), c_0_44]), ['proof']).
% 46.50/46.87 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 46.50/46.87 thf(0,theorem,((ord_less_eq_real @ (semiri5074537144036343181t_real @ (vEBT_V8646137997579335489_i_l_d @ (suc @ (suc @ ((divide_divide_nat @ va) @ (numeral_numeral_nat @ (bit0 @ one)))))))) @ ((times_times_real @ (numeral_numeral_real @ (bit1 @ (bit0 @ (bit1 @ one))))) @ (vEBT_VEBT_cnt @ (vEBT_vebt_buildup @ (suc @ (suc @ ((divide_divide_nat @ va) @ (numeral_numeral_nat @ (bit0 @ one))))))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 46.50/46.87 % SZS output end Proof
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