TSTP Solution File: ITP272^3 by Satallax---3.5
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP272^3 : 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 : n022.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 00:30:22 EDT 2022
% Result : Theorem 47.47s 47.37s
% Output : Proof 47.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP272^3 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 3 21:52:21 EDT 2022
% 0.13/0.35 % CPUTime :
% 47.47/47.37 % SZS status Theorem
% 47.47/47.37 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 47.47/47.37 % Inferences: 0
% 47.47/47.37 % SZS output start Proof
% 47.47/47.37 thf(conj_0,conjecture,((vEBT_invar_vebt @ ((vEBT_vebt_delete @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary))) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ (the_nat @ (vEBT_vebt_mint @ summary))))))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ ((plus_plus_nat @ ((times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary))) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ (the_nat @ (vEBT_vebt_mint @ summary))))))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ na)).
% 47.47/47.37 thf(h0,negated_conjecture,(~(((vEBT_invar_vebt @ ((vEBT_vebt_delete @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary))) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ (the_nat @ (vEBT_vebt_mint @ summary))))))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ ((plus_plus_nat @ ((times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary))) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ (the_nat @ (vEBT_vebt_mint @ summary))))))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ na))),inference(assume_negation,[status(cth)],[conj_0])).
% 47.47/47.37 thf(nax1, axiom, (p1<=fvEBT_invar_vebt @ (fvEBT_vebt_delete @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fvEBT_VEBT_low @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna), file('<stdin>', nax1)).
% 47.47/47.37 thf(ax1354, axiom, ~(p1), file('<stdin>', ax1354)).
% 47.47/47.37 thf(pax2, axiom, (p2=>![X1803:vEBT_VEBT, X1802:nat, X1804:nat]:(fvEBT_invar_vebt @ X1803 @ X1802=>fvEBT_invar_vebt @ (fvEBT_vebt_delete @ X1803 @ X1804) @ X1802)), file('<stdin>', pax2)).
% 47.47/47.37 thf(pax7, axiom, (p7=>fvEBT_invar_vebt @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna), file('<stdin>', pax7)).
% 47.47/47.37 thf(ax1353, axiom, p2, file('<stdin>', ax1353)).
% 47.47/47.37 thf(ax1348, axiom, p7, file('<stdin>', ax1348)).
% 47.47/47.37 thf(c_0_6, plain, (~fvEBT_invar_vebt @ (fvEBT_vebt_delete @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fvEBT_VEBT_low @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 47.47/47.37 thf(c_0_7, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1354])).
% 47.47/47.37 thf(c_0_8, plain, ![X6911:vEBT_VEBT, X6912:nat, X6913:nat]:(~p2|(~fvEBT_invar_vebt @ X6911 @ X6912|fvEBT_invar_vebt @ (fvEBT_vebt_delete @ X6911 @ X6913) @ X6912)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 47.47/47.37 thf(c_0_9, plain, (~p7|fvEBT_invar_vebt @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna), inference(fof_nnf,[status(thm)],[pax7])).
% 47.47/47.37 thf(c_0_10, plain, (p1|~fvEBT_invar_vebt @ (fvEBT_vebt_delete @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fvEBT_VEBT_low @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna), inference(split_conjunct,[status(thm)],[c_0_6])).
% 47.47/47.37 thf(c_0_11, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_7])).
% 47.47/47.37 thf(c_0_12, plain, ![X18:vEBT_VEBT, X8:nat, X5:nat]:(fvEBT_invar_vebt @ (fvEBT_vebt_delete @ X18 @ X8) @ X5|~p2|~fvEBT_invar_vebt @ X18 @ X5), inference(split_conjunct,[status(thm)],[c_0_8])).
% 47.47/47.37 thf(c_0_13, plain, p2, inference(split_conjunct,[status(thm)],[ax1353])).
% 47.47/47.37 thf(c_0_14, plain, (fvEBT_invar_vebt @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna|~p7), inference(split_conjunct,[status(thm)],[c_0_9])).
% 47.47/47.37 thf(c_0_15, plain, p7, inference(split_conjunct,[status(thm)],[ax1348])).
% 47.47/47.37 thf(c_0_16, plain, ~fvEBT_invar_vebt @ (fvEBT_vebt_delete @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fvEBT_VEBT_low @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna, inference(sr,[status(thm)],[c_0_10, c_0_11])).
% 47.47/47.37 thf(c_0_17, plain, ![X5:nat, X18:vEBT_VEBT, X8:nat]:(fvEBT_invar_vebt @ (fvEBT_vebt_delete @ X18 @ X5) @ X8|~fvEBT_invar_vebt @ X18 @ X8), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_12, c_0_13])])).
% 47.47/47.37 thf(c_0_18, plain, fvEBT_invar_vebt @ (fnth_VEBT_VEBT @ ftreeList @ (fvEBT_VEBT_high @ (fplus_plus_nat @ (ftimes_times_nat @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)) @ (fpower_power_nat @ (fnumeral_numeral_nat @ (fbit0 @ fone)) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ (fthe_nat @ (fvEBT_vebt_mint @ (fnth_VEBT_VEBT @ ftreeList @ (fthe_nat @ (fvEBT_vebt_mint @ fsummary)))))) @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))) @ fna, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 47.47/47.37 thf(c_0_19, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_16, c_0_17]), c_0_18])]), ['proof']).
% 47.47/47.37 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 47.47/47.37 thf(0,theorem,((vEBT_invar_vebt @ ((vEBT_vebt_delete @ ((nth_VEBT_VEBT @ treeList) @ ((vEBT_VEBT_high @ ((plus_plus_nat @ ((times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary))) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ (the_nat @ (vEBT_vebt_mint @ summary))))))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ ((vEBT_VEBT_low @ ((plus_plus_nat @ ((times_times_nat @ (the_nat @ (vEBT_vebt_mint @ summary))) @ ((power_power_nat @ (numeral_numeral_nat @ (bit0 @ one))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ (the_nat @ (vEBT_vebt_mint @ ((nth_VEBT_VEBT @ treeList) @ (the_nat @ (vEBT_vebt_mint @ summary))))))) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))) @ na),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 47.47/47.37 % SZS output end Proof
%------------------------------------------------------------------------------