TSTP Solution File: NUM457+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% 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 : Mon Jul 18 15:55:51 EDT 2022
% Result : Theorem 12.98s 13.15s
% Output : Proof 12.98s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n021.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 : Wed Jul 6 05:22:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 12.98/13.15 (* PROOF-FOUND *)
% 12.98/13.15 % SZS status Theorem
% 12.98/13.15 (* BEGIN-PROOF *)
% 12.98/13.15 % SZS output start Proof
% 12.98/13.15 Theorem m__ : (((sdtasdt0 (xm) (xn)) = (sz00))->(((xm) = (sz00))\/((xn) = (sz00)))).
% 12.98/13.15 Proof.
% 12.98/13.15 apply NNPP. intro zenon_G.
% 12.98/13.15 apply (zenon_and_s _ _ m__624). zenon_intro zenon_H13. zenon_intro zenon_H12.
% 12.98/13.15 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H15. zenon_intro zenon_H14.
% 12.98/13.15 apply (zenon_notor_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 12.98/13.15 generalize (mMulCanc (xn)). zenon_intro zenon_H18.
% 12.98/13.15 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ].
% 12.98/13.15 exact (zenon_H1a zenon_H12).
% 12.98/13.15 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ].
% 12.98/13.15 exact (zenon_H1c zenon_H16).
% 12.98/13.15 generalize (zenon_H1b (xm)). zenon_intro zenon_H1d.
% 12.98/13.15 generalize (zenon_H1d (sz00)). zenon_intro zenon_H1e.
% 12.98/13.15 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 12.98/13.15 apply (zenon_notand_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 12.98/13.15 exact (zenon_H22 zenon_H13).
% 12.98/13.15 exact (zenon_H21 mSortsC).
% 12.98/13.15 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 12.98/13.15 apply (zenon_notor_s _ _ zenon_H24). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 12.98/13.15 generalize (m_MulZero (xn)). zenon_intro zenon_H27.
% 12.98/13.15 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H1a | zenon_intro zenon_H28 ].
% 12.98/13.15 exact (zenon_H1a zenon_H12).
% 12.98/13.15 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 12.98/13.15 cut (((sdtasdt0 (xm) (xn)) = (sz00)) = ((sdtasdt0 (xm) (xn)) = (sdtasdt0 (sz00) (xn)))).
% 12.98/13.15 intro zenon_D_pnotp.
% 12.98/13.15 apply zenon_H25.
% 12.98/13.15 rewrite <- zenon_D_pnotp.
% 12.98/13.15 exact zenon_H15.
% 12.98/13.15 cut (((sz00) = (sdtasdt0 (sz00) (xn)))); [idtac | apply NNPP; zenon_intro zenon_H2b].
% 12.98/13.15 cut (((sdtasdt0 (xm) (xn)) = (sdtasdt0 (xm) (xn)))); [idtac | apply NNPP; zenon_intro zenon_H2c].
% 12.98/13.15 congruence.
% 12.98/13.15 apply zenon_H2c. apply refl_equal.
% 12.98/13.15 exact (zenon_H2b zenon_H29).
% 12.98/13.15 exact (zenon_H17 zenon_H23).
% 12.98/13.15 Qed.
% 12.98/13.15 % SZS output end Proof
% 12.98/13.15 (* END-PROOF *)
% 12.98/13.15 nodes searched: 54377
% 12.98/13.15 max branch formulas: 5820
% 12.98/13.15 proof nodes created: 3631
% 12.98/13.15 formulas created: 446873
% 12.98/13.15
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