TSTP Solution File: ITP060^1 by Satallax---3.5
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%------------------------------------------------------------------------------
% File : Satallax---3.5
% Problem : ITP060^1 : 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 : 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 00:28:57 EDT 2022
% Result : Theorem 4.70s 5.00s
% Output : Proof 4.70s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.09 % Problem : ITP060^1 : TPTP v8.1.0. Released v7.5.0.
% 0.06/0.10 % Command : satallax -E eprover-ho -P picomus -M modes -p tstp -t %d %s
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 600
% 0.09/0.29 % DateTime : Fri Jun 3 12:55:01 EDT 2022
% 0.09/0.29 % CPUTime :
% 4.70/5.00 % SZS status Theorem
% 4.70/5.00 % Mode: mode507:USE_SINE=true:SINE_TOLERANCE=3.0:SINE_GENERALITY_THRESHOLD=0:SINE_RANK_LIMIT=1.:SINE_DEPTH=1
% 4.70/5.00 % Inferences: 2
% 4.70/5.00 % SZS output start Proof
% 4.70/5.00 thf(conj_0,conjecture,(((nth_co1649820636t_unit @ (fe @ (suc @ index))) @ ((minus_minus_nat @ n1) @ one_one_nat)) = ((nth_co1649820636t_unit @ (fe @ index)) @ ((minus_minus_nat @ n1) @ one_one_nat)))).
% 4.70/5.00 thf(h0,negated_conjecture,(~((((nth_co1649820636t_unit @ (fe @ (suc @ index))) @ ((minus_minus_nat @ n1) @ one_one_nat)) = ((nth_co1649820636t_unit @ (fe @ index)) @ ((minus_minus_nat @ n1) @ one_one_nat))))),inference(assume_negation,[status(cth)],[conj_0])).
% 4.70/5.00 thf(ax12, axiom, (~(p153)|p156), file('<stdin>', ax12)).
% 4.70/5.00 thf(ax11, axiom, (~(p156)|p157), file('<stdin>', ax11)).
% 4.70/5.00 thf(ax16, axiom, p153, file('<stdin>', ax16)).
% 4.70/5.00 thf(ax10, axiom, (~(p157)|~(p152)|p151), file('<stdin>', ax10)).
% 4.70/5.00 thf(ax17, axiom, ~(p151), file('<stdin>', ax17)).
% 4.70/5.00 thf(pax2, axiom, (p2=>![X16:nat]:(ford_less_nat @ X16 @ (fsize_s1406904903t_unit @ (ffe @ findex))=>(fnth_co1649820636t_unit @ (ffe @ findex) @ X16)=(fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ X16))), file('<stdin>', pax2)).
% 4.70/5.00 thf(pax108, axiom, (p108=>![X10:nat, X11:nat, X5:nat]:(ford_less_nat @ X10 @ X11=>ford_less_nat @ (fminus_minus_nat @ X10 @ X5) @ X11)), file('<stdin>', pax108)).
% 4.70/5.00 thf(nax152, axiom, (p152<=(fnth_co1649820636t_unit @ (ffe @ findex) @ (fminus_minus_nat @ fn1 @ fone_one_nat))=(fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ (fminus_minus_nat @ fn1 @ fone_one_nat))), file('<stdin>', nax152)).
% 4.70/5.00 thf(ax166, axiom, p2, file('<stdin>', ax166)).
% 4.70/5.00 thf(ax60, axiom, p108, file('<stdin>', ax60)).
% 4.70/5.00 thf(pax1, axiom, (p1=>ford_less_nat @ fn1 @ (fsize_s1406904903t_unit @ (ffe @ findex))), file('<stdin>', pax1)).
% 4.70/5.00 thf(ax167, axiom, p1, file('<stdin>', ax167)).
% 4.70/5.00 thf(c_0_12, plain, (~p153|p156), inference(fof_simplification,[status(thm)],[ax12])).
% 4.70/5.00 thf(c_0_13, plain, (~p156|p157), inference(fof_simplification,[status(thm)],[ax11])).
% 4.70/5.00 thf(c_0_14, plain, (p156|~p153), inference(split_conjunct,[status(thm)],[c_0_12])).
% 4.70/5.00 thf(c_0_15, plain, p153, inference(split_conjunct,[status(thm)],[ax16])).
% 4.70/5.00 thf(c_0_16, plain, (~p157|~p152|p151), inference(fof_simplification,[status(thm)],[ax10])).
% 4.70/5.00 thf(c_0_17, plain, (p157|~p156), inference(split_conjunct,[status(thm)],[c_0_13])).
% 4.70/5.00 thf(c_0_18, plain, p156, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_14, c_0_15])])).
% 4.70/5.00 thf(c_0_19, plain, ~p151, inference(fof_simplification,[status(thm)],[ax17])).
% 4.70/5.00 thf(c_0_20, plain, ![X297:nat]:(~p2|(~ford_less_nat @ X297 @ (fsize_s1406904903t_unit @ (ffe @ findex))|(fnth_co1649820636t_unit @ (ffe @ findex) @ X297)=(fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ X297))), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax2])])])).
% 4.70/5.00 thf(c_0_21, plain, ![X91:nat, X92:nat, X93:nat]:(~p108|(~ford_less_nat @ X91 @ X92|ford_less_nat @ (fminus_minus_nat @ X91 @ X93) @ X92)), inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[pax108])])])).
% 4.70/5.00 thf(c_0_22, plain, ((fnth_co1649820636t_unit @ (ffe @ findex) @ (fminus_minus_nat @ fn1 @ fone_one_nat))!=(fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ (fminus_minus_nat @ fn1 @ fone_one_nat))|p152), inference(fof_nnf,[status(thm)],[inference(fof_simplification,[status(thm)],[nax152])])).
% 4.70/5.00 thf(c_0_23, plain, (p151|~p157|~p152), inference(split_conjunct,[status(thm)],[c_0_16])).
% 4.70/5.00 thf(c_0_24, plain, p157, inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_17, c_0_18])])).
% 4.70/5.00 thf(c_0_25, plain, ~p151, inference(split_conjunct,[status(thm)],[c_0_19])).
% 4.70/5.00 thf(c_0_26, plain, ![X3:nat]:((fnth_co1649820636t_unit @ (ffe @ findex) @ X3)=(fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ X3)|~p2|~ford_less_nat @ X3 @ (fsize_s1406904903t_unit @ (ffe @ findex))), inference(split_conjunct,[status(thm)],[c_0_20])).
% 4.70/5.00 thf(c_0_27, plain, p2, inference(split_conjunct,[status(thm)],[ax166])).
% 4.70/5.00 thf(c_0_28, plain, ![X3:nat, X5:nat, X4:nat]:(ford_less_nat @ (fminus_minus_nat @ X3 @ X5) @ X4|~p108|~ford_less_nat @ X3 @ X4), inference(split_conjunct,[status(thm)],[c_0_21])).
% 4.70/5.00 thf(c_0_29, plain, p108, inference(split_conjunct,[status(thm)],[ax60])).
% 4.70/5.00 thf(c_0_30, plain, (~p1|ford_less_nat @ fn1 @ (fsize_s1406904903t_unit @ (ffe @ findex))), inference(fof_nnf,[status(thm)],[pax1])).
% 4.70/5.00 thf(c_0_31, plain, (p152|(fnth_co1649820636t_unit @ (ffe @ findex) @ (fminus_minus_nat @ fn1 @ fone_one_nat))!=(fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ (fminus_minus_nat @ fn1 @ fone_one_nat))), inference(split_conjunct,[status(thm)],[c_0_22])).
% 4.70/5.00 thf(c_0_32, plain, ~p152, inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_23, c_0_24])]), c_0_25])).
% 4.70/5.00 thf(c_0_33, plain, ![X3:nat]:((fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ X3)=(fnth_co1649820636t_unit @ (ffe @ findex) @ X3)|~ford_less_nat @ X3 @ (fsize_s1406904903t_unit @ (ffe @ findex))), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26, c_0_27])])).
% 4.70/5.00 thf(c_0_34, plain, ![X3:nat, X4:nat, X5:nat]:(ford_less_nat @ (fminus_minus_nat @ X3 @ X4) @ X5|~ford_less_nat @ X3 @ X5), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28, c_0_29])])).
% 4.70/5.00 thf(c_0_35, plain, (ford_less_nat @ fn1 @ (fsize_s1406904903t_unit @ (ffe @ findex))|~p1), inference(split_conjunct,[status(thm)],[c_0_30])).
% 4.70/5.00 thf(c_0_36, plain, p1, inference(split_conjunct,[status(thm)],[ax167])).
% 4.70/5.00 thf(c_0_37, plain, (fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ (fminus_minus_nat @ fn1 @ fone_one_nat))!=(fnth_co1649820636t_unit @ (ffe @ findex) @ (fminus_minus_nat @ fn1 @ fone_one_nat)), inference(sr,[status(thm)],[c_0_31, c_0_32])).
% 4.70/5.00 thf(c_0_38, plain, ![X4:nat, X3:nat]:((fnth_co1649820636t_unit @ (ffe @ (fsuc @ findex)) @ (fminus_minus_nat @ X3 @ X4))=(fnth_co1649820636t_unit @ (ffe @ findex) @ (fminus_minus_nat @ X3 @ X4))|~ford_less_nat @ X3 @ (fsize_s1406904903t_unit @ (ffe @ findex))), inference(spm,[status(thm)],[c_0_33, c_0_34])).
% 4.70/5.00 thf(c_0_39, plain, ford_less_nat @ fn1 @ (fsize_s1406904903t_unit @ (ffe @ findex)), inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35, c_0_36])])).
% 4.70/5.00 thf(c_0_40, plain, ($false), inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_37, c_0_38]), c_0_39])]), ['proof']).
% 4.70/5.00 thf(1,plain,$false,inference(eprover,[status(thm),assumptions([h0])],[])).
% 4.70/5.00 thf(0,theorem,(((nth_co1649820636t_unit @ (fe @ (suc @ index))) @ ((minus_minus_nat @ n1) @ one_one_nat)) = ((nth_co1649820636t_unit @ (fe @ index)) @ ((minus_minus_nat @ n1) @ one_one_nat))),inference(contra,[status(thm),contra(discharge,[h0])],[1,h0])).
% 4.70/5.00 % SZS output end Proof
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