TSTP Solution File: NUM472+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n025.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 : Mon Jul 18 15:55:59 EDT 2022
% Result : Theorem 0.37s 0.54s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n025.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jul 7 10:11:44 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/0.54 (* PROOF-FOUND *)
% 0.37/0.54 % SZS status Theorem
% 0.37/0.54 (* BEGIN-PROOF *)
% 0.37/0.54 % SZS output start Proof
% 0.37/0.54 Theorem m__ : (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))).
% 0.37/0.54 Proof.
% 0.37/0.54 assert (zenon_L1_ : (~(aNaturalNumber0 (sdtpldt0 (xm) (xn)))) -> (aNaturalNumber0 (xn)) -> (aNaturalNumber0 (xm)) -> False).
% 0.37/0.54 do 0 intro. intros zenon_H27 zenon_H28 zenon_H29.
% 0.37/0.54 generalize (mSortsB (xm)). zenon_intro zenon_H2a.
% 0.37/0.54 generalize (zenon_H2a (xn)). zenon_intro zenon_H2b.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.37/0.54 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 0.37/0.54 exact (zenon_H2f zenon_H29).
% 0.37/0.54 exact (zenon_H2e zenon_H28).
% 0.37/0.54 exact (zenon_H27 zenon_H2c).
% 0.37/0.54 (* end of lemma zenon_L1_ *)
% 0.37/0.54 apply NNPP. intro zenon_G.
% 0.37/0.54 apply (zenon_and_s _ _ m__1324). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.37/0.54 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.37/0.54 generalize (mDefLE (xm)). zenon_intro zenon_H32.
% 0.37/0.54 generalize (zenon_H32 (sdtpldt0 (xm) (xn))). zenon_intro zenon_H33.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 0.37/0.54 apply (zenon_notand_s _ _ zenon_H35); [ zenon_intro zenon_H2f | zenon_intro zenon_H27 ].
% 0.37/0.54 exact (zenon_H2f zenon_H29).
% 0.37/0.54 apply (zenon_L1_); trivial.
% 0.37/0.54 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_G; zenon_intro zenon_H38 | zenon_intro zenon_H37; zenon_intro zenon_H36 ].
% 0.37/0.54 apply zenon_H38. exists (xn). apply NNPP. zenon_intro zenon_H39.
% 0.37/0.54 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H2e | zenon_intro zenon_H3a ].
% 0.37/0.54 exact (zenon_H2e zenon_H28).
% 0.37/0.54 apply zenon_H3a. apply refl_equal.
% 0.37/0.54 exact (zenon_G zenon_H37).
% 0.37/0.54 Qed.
% 0.37/0.54 % SZS output end Proof
% 0.37/0.54 (* END-PROOF *)
% 0.37/0.54 nodes searched: 475
% 0.37/0.54 max branch formulas: 442
% 0.37/0.54 proof nodes created: 26
% 0.37/0.54 formulas created: 6363
% 0.37/0.54
%------------------------------------------------------------------------------