TSTP Solution File: ITP246^3 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP246^3 : 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 : n021.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 00:30:02 EDT 2022
% Result : Theorem 47.18s 47.05s
% Output : Proof 47.18s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ITP246^3 : TPTP v8.1.0. Released v8.1.0.
% 0.07/0.13 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.13/0.34 % Computer : n021.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 22:47:48 EDT 2022
% 0.13/0.35 % CPUTime :
% 47.18/47.05 % SZS status Theorem
% 47.18/47.05 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 47.18/47.05 % Inferences: 0
% 47.18/47.05 % SZS output start Proof
% 47.18/47.05 thf(conj_0,conjecture,(((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))) = ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))))).
% 47.18/47.05 thf(h0,negated_conjecture,(~((((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))) = ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))))),inference(assume_negation,[status(cth)],[conj_0])).
% 47.18/47.05 thf(pax5, axiom, (p5=>(fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fna)), file('<stdin>', pax5)).
% 47.18/47.05 thf(pax48, axiom, (p48=>![X1630:nat, X1631:nat]:(~((~((X1630)=(X1631))=>~(ford_less_eq_nat @ X1630 @ X1631)))=>~(ford_less_eq_nat @ X1631 @ X1630))), file('<stdin>', pax48)).
% 47.18/47.05 thf(pax4, axiom, (p4=>ford_less_eq_nat @ (fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))) @ (fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), file('<stdin>', pax4)).
% 47.18/47.06 thf(ax1482, axiom, p5, file('<stdin>', ax1482)).
% 47.18/47.06 thf(pax2, axiom, (p2=>ford_less_eq_nat @ (fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))) @ (fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), file('<stdin>', pax2)).
% 47.18/47.06 thf(nax1, axiom, (p1<=(fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))=(fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), file('<stdin>', nax1)).
% 47.18/47.06 thf(ax1486, axiom, ~(p1), file('<stdin>', ax1486)).
% 47.18/47.06 thf(ax1439, axiom, p48, file('<stdin>', ax1439)).
% 47.18/47.06 thf(ax1483, axiom, p4, file('<stdin>', ax1483)).
% 47.18/47.06 thf(ax1485, axiom, p2, file('<stdin>', ax1485)).
% 47.18/47.06 thf(c_0_10, plain, (~p5|(fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fna)), inference(fof_nnf,[status(thm)],[pax5])).
% 47.18/47.06 thf(c_0_11, plain, ![X6144:nat, X6145:nat]:(~p48|((X6144)=(X6145)|~ford_less_eq_nat @ X6144 @ X6145|~ford_less_eq_nat @ X6145 @ X6144)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax48])])])])).
% 47.18/47.06 thf(c_0_12, plain, (~p4|ford_less_eq_nat @ (fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))) @ (fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), inference(fof_nnf,[status(thm)],[pax4])).
% 47.18/47.06 thf(c_0_13, plain, ((fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fna)|~p5), inference(split_conjunct,[status(thm)],[c_0_10])).
% 47.18/47.06 thf(c_0_14, plain, p5, inference(split_conjunct,[status(thm)],[ax1482])).
% 47.18/47.06 thf(c_0_15, plain, (~p2|ford_less_eq_nat @ (fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))) @ (fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), inference(fof_nnf,[status(thm)],[pax2])).
% 47.18/47.06 thf(c_0_16, plain, ((fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))!=(fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))|p1), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax1])])).
% 47.18/47.06 thf(c_0_17, plain, ~p1, inference(fof_simplification,[status(thm)],[ax1486])).
% 47.18/47.06 thf(c_0_18, plain, ![X3:nat, X1:nat]:((X1)=(X3)|~p48|~ford_less_eq_nat @ X1 @ X3|~ford_less_eq_nat @ X3 @ X1), inference(split_conjunct,[status(thm)],[c_0_11])).
% 47.18/47.06 thf(c_0_19, plain, p48, inference(split_conjunct,[status(thm)],[ax1439])).
% 47.18/47.06 thf(c_0_20, plain, (ford_less_eq_nat @ (fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))) @ (fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))|~p4), inference(split_conjunct,[status(thm)],[c_0_12])).
% 47.18/47.06 thf(c_0_21, plain, (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))=(fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13, c_0_14])])).
% 47.18/47.06 thf(c_0_22, plain, p4, inference(split_conjunct,[status(thm)],[ax1483])).
% 47.18/47.06 thf(c_0_23, plain, (ford_less_eq_nat @ (fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone)))) @ (fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))|~p2), inference(split_conjunct,[status(thm)],[c_0_15])).
% 47.18/47.06 thf(c_0_24, plain, p2, inference(split_conjunct,[status(thm)],[ax1485])).
% 47.18/47.06 thf(c_0_25, plain, (p1|(fvEBT_VEBT_high @ fxa @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))!=(fvEBT_VEBT_high @ fza @ (fdivide_divide_nat @ fdeg @ (fnumeral_numeral_nat @ (fbit0 @ fone))))), inference(split_conjunct,[status(thm)],[c_0_16])).
% 47.18/47.06 thf(c_0_26, plain, ~p1, inference(split_conjunct,[status(thm)],[c_0_17])).
% 47.18/47.06 thf(c_0_27, plain, ![X1:nat, X3:nat]:((X1)=(X3)|~ford_less_eq_nat @ X3 @ X1|~ford_less_eq_nat @ X1 @ X3), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_18, c_0_19])])).
% 47.18/47.06 thf(c_0_28, plain, ford_less_eq_nat @ (fvEBT_VEBT_high @ fxa @ fna) @ (fvEBT_VEBT_high @ fza @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_20, c_0_21]), c_0_21]), c_0_22])])).
% 47.18/47.06 thf(c_0_29, plain, ford_less_eq_nat @ (fvEBT_VEBT_high @ fza @ fna) @ (fvEBT_VEBT_high @ fxa @ fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_21]), c_0_21]), c_0_24])])).
% 47.18/47.06 thf(c_0_30, plain, (fvEBT_VEBT_high @ fza @ fna)!=(fvEBT_VEBT_high @ fxa @ fna), inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_25, c_0_21]), c_0_21]), c_0_26])).
% 47.18/47.06 thf(c_0_31, plain, ($false), inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_27, c_0_28]), c_0_29])]), c_0_30]), ['proof']).
% 47.18/47.06 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 47.18/47.06 thf(0,theorem,(((vEBT_VEBT_high @ xa) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one)))) = ((vEBT_VEBT_high @ za) @ ((divide_divide_nat @ deg) @ (numeral_numeral_nat @ (bit0 @ one))))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 47.18/47.06 % SZS output end Proof
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