%------------------------------------------------------------------------------ % 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 %------------------------------------------------------------------------------