TSTP Solution File: ITP276^3 by Satallax---3.5
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- Process Solution
%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP276^3 : 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 : n028.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 00:30:24 EDT 2022
% Result : Theorem 48.41s 47.12s
% Output : Proof 48.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : ITP276^3 : TPTP v8.1.0. Released v8.1.0.
% 0.03/0.14 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 4 00:11:10 EDT 2022
% 0.14/0.36 % CPUTime :
% 48.41/47.12 % SZS status Theorem
% 48.41/47.12 % Mode: mode485:USE_SINE=true:SINE_TOLERANCE=1.2:SINE_GENERALITY_THRESHOLD=4:SINE_RANK_LIMIT=4.:SINE_DEPTH=0
% 48.41/47.12 % Inferences: 0
% 48.41/47.12 % SZS output start Proof
% 48.41/47.12 thf(conj_0,conjecture,(info = (some_P7363390416028606310at_nat @ ((product_Pair_nat_nat @ mi) @ ma)))).
% 48.41/47.12 thf(h0,negated_conjecture,(~((info = (some_P7363390416028606310at_nat @ ((product_Pair_nat_nat @ mi) @ ma))))),inference(assume_negation,[status(cth)],[conj_0])).
% 48.41/47.12 thf(pax1236, axiom, (p1236=>(fsuc)=(fplus_plus_nat @ fone_one_nat)), file('<stdin>', pax1236)).
% 48.41/47.12 thf(pax787, axiom, (p787=>(fone_one_nat)=(fsuc @ fzero_zero_nat)), file('<stdin>', pax787)).
% 48.41/47.12 thf(ax321, axiom, p1236, file('<stdin>', ax321)).
% 48.41/47.12 thf(pax871, axiom, (p871=>(fm)=(fna)), file('<stdin>', pax871)).
% 48.41/47.12 thf(pax25, axiom, (p25=>(fdeg)=(fsuc @ fzero_zero_nat)), file('<stdin>', pax25)).
% 48.41/47.12 thf(ax770, axiom, p787, file('<stdin>', ax770)).
% 48.41/47.12 thf(pax1337, axiom, (p1337=>![X297:nat, X298:nat]:(fminus_minus_nat @ (fplus_plus_nat @ X297 @ X298) @ X298)=(X297)), file('<stdin>', pax1337)).
% 48.41/47.12 thf(pax883, axiom, (p883=>(fdeg)=(fplus_plus_nat @ fna @ fm)), file('<stdin>', pax883)).
% 48.41/47.12 thf(ax686, axiom, p871, file('<stdin>', ax686)).
% 48.41/47.12 thf(ax1532, axiom, p25, file('<stdin>', ax1532)).
% 48.41/47.12 thf(pax1368, axiom, (p1368=>![X238:nat, X240:nat]:(fminus_minus_nat @ X238 @ (fplus_plus_nat @ X238 @ X240))=(fzero_zero_nat)), file('<stdin>', pax1368)).
% 48.41/47.12 thf(pax160, axiom, (p160=>![X2049:nat]:(~((X2049)=(fzero_zero_nat))=>~(![X2050:nat]:~((X2049)=(fsuc @ X2050))))), file('<stdin>', pax160)).
% 48.41/47.12 thf(pax319, axiom, (p319=>![X1846:vEBT_VEBT, X1828:nat]:(fvEBT_invar_vebt @ X1846 @ X1828=>ford_less_nat @ fzero_zero_nat @ X1828)), file('<stdin>', pax319)).
% 48.41/47.12 thf(pax344, axiom, (p344=>fvEBT_invar_vebt @ fsummary2 @ fm), file('<stdin>', pax344)).
% 48.41/47.12 thf(ax220, axiom, p1337, file('<stdin>', ax220)).
% 48.41/47.12 thf(ax674, axiom, p883, file('<stdin>', ax674)).
% 48.41/47.12 thf(ax189, axiom, p1368, file('<stdin>', ax189)).
% 48.41/47.12 thf(ax1397, axiom, p160, file('<stdin>', ax1397)).
% 48.41/47.12 thf(ax1238, axiom, p319, file('<stdin>', ax1238)).
% 48.41/47.12 thf(ax1213, axiom, p344, file('<stdin>', ax1213)).
% 48.41/47.12 thf(pax341, axiom, (p341=>![X1829:nat]:~(ford_less_nat @ X1829 @ fzero_zero_nat)), file('<stdin>', pax341)).
% 48.41/47.12 thf(ax1216, axiom, p341, file('<stdin>', ax1216)).
% 48.41/47.12 thf(c_0_22, plain, (~p1236|(fsuc)=(fplus_plus_nat @ fone_one_nat)), inference(fof_nnf,[status(thm)],[pax1236])).
% 48.41/47.12 thf(c_0_23, plain, (~p787|(fone_one_nat)=(fsuc @ fzero_zero_nat)), inference(fof_nnf,[status(thm)],[pax787])).
% 48.41/47.12 thf(c_0_24, plain, ((fsuc)=(fplus_plus_nat @ fone_one_nat)|~p1236), inference(split_conjunct,[status(thm)],[c_0_22])).
% 48.41/47.12 thf(c_0_25, plain, p1236, inference(split_conjunct,[status(thm)],[ax321])).
% 48.41/47.12 thf(c_0_26, plain, (~p871|(fm)=(fna)), inference(fof_nnf,[status(thm)],[pax871])).
% 48.41/47.12 thf(c_0_27, plain, (~p25|(fdeg)=(fsuc @ fzero_zero_nat)), inference(fof_nnf,[status(thm)],[pax25])).
% 48.41/47.12 thf(c_0_28, plain, ((fone_one_nat)=(fsuc @ fzero_zero_nat)|~p787), inference(split_conjunct,[status(thm)],[c_0_23])).
% 48.41/47.12 thf(c_0_29, plain, (fsuc)=(fplus_plus_nat @ fone_one_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_24, c_0_25])])).
% 48.41/47.12 thf(c_0_30, plain, p787, inference(split_conjunct,[status(thm)],[ax770])).
% 48.41/47.12 thf(c_0_31, plain, ![X3036:nat, X3037:nat]:(~p1337|(fminus_minus_nat @ (fplus_plus_nat @ X3036 @ X3037) @ X3037)=(X3036)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1337])])])).
% 48.41/47.12 thf(c_0_32, plain, (~p883|(fdeg)=(fplus_plus_nat @ fna @ fm)), inference(fof_nnf,[status(thm)],[pax883])).
% 48.41/47.12 thf(c_0_33, plain, ((fm)=(fna)|~p871), inference(split_conjunct,[status(thm)],[c_0_26])).
% 48.41/47.12 thf(c_0_34, plain, p871, inference(split_conjunct,[status(thm)],[ax686])).
% 48.41/47.12 thf(c_0_35, plain, ((fdeg)=(fsuc @ fzero_zero_nat)|~p25), inference(split_conjunct,[status(thm)],[c_0_27])).
% 48.41/47.12 thf(c_0_36, plain, (fplus_plus_nat @ fone_one_nat @ fzero_zero_nat)=(fone_one_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29]), c_0_30])])).
% 48.41/47.12 thf(c_0_37, plain, p25, inference(split_conjunct,[status(thm)],[ax1532])).
% 48.41/47.12 thf(c_0_38, plain, ![X2920:nat, X2921:nat]:(~p1368|(fminus_minus_nat @ X2920 @ (fplus_plus_nat @ X2920 @ X2921))=(fzero_zero_nat)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax1368])])])).
% 48.41/47.12 thf(c_0_39, plain, ![X7206:nat]:(~p160|((X7206)=(fzero_zero_nat)|(X7206)=(fsuc @ (esk2440_1 @ X7206)))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax160])])])])])).
% 48.41/47.12 thf(c_0_40, plain, ![X6774:vEBT_VEBT, X6775:nat]:(~p319|(~fvEBT_invar_vebt @ X6774 @ X6775|ford_less_nat @ fzero_zero_nat @ X6775)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax319])])])).
% 48.41/47.12 thf(c_0_41, plain, (~p344|fvEBT_invar_vebt @ fsummary2 @ fm), inference(fof_nnf,[status(thm)],[pax344])).
% 48.41/47.12 thf(c_0_42, plain, ![X2:nat, X1:nat]:((fminus_minus_nat @ (fplus_plus_nat @ X1 @ X2) @ X2)=(X1)|~p1337), inference(split_conjunct,[status(thm)],[c_0_31])).
% 48.41/47.12 thf(c_0_43, plain, p1337, inference(split_conjunct,[status(thm)],[ax220])).
% 48.41/47.12 thf(c_0_44, plain, ((fdeg)=(fplus_plus_nat @ fna @ fm)|~p883), inference(split_conjunct,[status(thm)],[c_0_32])).
% 48.41/47.12 thf(c_0_45, plain, (fm)=(fna), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_33, c_0_34])])).
% 48.41/47.12 thf(c_0_46, plain, (fdeg)=(fone_one_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_29]), c_0_36]), c_0_37])])).
% 48.41/47.12 thf(c_0_47, plain, p883, inference(split_conjunct,[status(thm)],[ax674])).
% 48.41/47.12 thf(c_0_48, plain, ![X1:nat, X2:nat]:((fminus_minus_nat @ X1 @ (fplus_plus_nat @ X1 @ X2))=(fzero_zero_nat)|~p1368), inference(split_conjunct,[status(thm)],[c_0_38])).
% 48.41/47.12 thf(c_0_49, plain, p1368, inference(split_conjunct,[status(thm)],[ax189])).
% 48.41/47.12 thf(c_0_50, plain, ![X1:nat]:((X1)=(fzero_zero_nat)|(X1)=(fsuc @ (esk2440_1 @ X1))|~p160), inference(split_conjunct,[status(thm)],[c_0_39])).
% 48.41/47.12 thf(c_0_51, plain, p160, inference(split_conjunct,[status(thm)],[ax1397])).
% 48.41/47.12 thf(c_0_52, plain, ![X4:vEBT_VEBT, X1:nat]:(ford_less_nat @ fzero_zero_nat @ X1|~p319|~fvEBT_invar_vebt @ X4 @ X1), inference(split_conjunct,[status(thm)],[c_0_40])).
% 48.41/47.12 thf(c_0_53, plain, p319, inference(split_conjunct,[status(thm)],[ax1238])).
% 48.41/47.12 thf(c_0_54, plain, (fvEBT_invar_vebt @ fsummary2 @ fm|~p344), inference(split_conjunct,[status(thm)],[c_0_41])).
% 48.41/47.12 thf(c_0_55, plain, p344, inference(split_conjunct,[status(thm)],[ax1213])).
% 48.41/47.12 thf(c_0_56, plain, ![X2:nat, X1:nat]:(fminus_minus_nat @ (fplus_plus_nat @ X1 @ X2) @ X2)=(X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_42, c_0_43])])).
% 48.41/47.12 thf(c_0_57, plain, (fplus_plus_nat @ fna @ fna)=(fone_one_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44, c_0_45]), c_0_46]), c_0_47])])).
% 48.41/47.12 thf(c_0_58, plain, ![X1:nat, X2:nat]:(fminus_minus_nat @ X1 @ (fplus_plus_nat @ X1 @ X2))=(fzero_zero_nat), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_48, c_0_49])])).
% 48.41/47.12 thf(c_0_59, plain, ![X1:nat]:((fplus_plus_nat @ fone_one_nat @ (esk2440_1 @ X1))=(X1)|(X1)=(fzero_zero_nat)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50, c_0_29]), c_0_51])])).
% 48.41/47.12 thf(c_0_60, plain, ![X6722:nat]:(~p341|~ford_less_nat @ X6722 @ fzero_zero_nat), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[pax341])])])])).
% 48.41/47.12 thf(c_0_61, plain, ![X4:vEBT_VEBT, X1:nat]:(ford_less_nat @ fzero_zero_nat @ X1|~fvEBT_invar_vebt @ X4 @ X1), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_52, c_0_53])])).
% 48.41/47.12 thf(c_0_62, plain, fvEBT_invar_vebt @ fsummary2 @ fna, inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54, c_0_45]), c_0_55])])).
% 48.41/47.12 thf(c_0_63, plain, (fminus_minus_nat @ fone_one_nat @ fna)=(fna), inference(spm,[status(thm)],[c_0_56, c_0_57])).
% 48.41/47.12 thf(c_0_64, plain, ![X1:nat]:((fminus_minus_nat @ fone_one_nat @ X1)=(fzero_zero_nat)|(X1)=(fzero_zero_nat)), inference(spm,[status(thm)],[c_0_58, c_0_59])).
% 48.41/47.12 thf(c_0_65, plain, ![X1:nat]:(~p341|~ford_less_nat @ X1 @ fzero_zero_nat), inference(split_conjunct,[status(thm)],[c_0_60])).
% 48.41/47.12 thf(c_0_66, plain, p341, inference(split_conjunct,[status(thm)],[ax1216])).
% 48.41/47.12 thf(c_0_67, plain, ford_less_nat @ fzero_zero_nat @ fna, inference(spm,[status(thm)],[c_0_61, c_0_62])).
% 48.41/47.12 thf(c_0_68, plain, (fna)=(fzero_zero_nat), inference(spm,[status(thm)],[c_0_63, c_0_64])).
% 48.41/47.12 thf(c_0_69, plain, ![X1:nat]:~ford_less_nat @ X1 @ fzero_zero_nat, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_65, c_0_66])])).
% 48.41/47.12 thf(c_0_70, plain, ($false), inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_67, c_0_68]), c_0_69]), ['proof']).
% 48.41/47.12 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 48.41/47.12 thf(0,theorem,(info = (some_P7363390416028606310at_nat @ ((product_Pair_nat_nat @ mi) @ ma))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 48.41/47.12 % SZS output end Proof
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