%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG072+2 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 20:48:24 EDT 2022 % Result : Theorem 0.38s 0.58s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : RNG072+2 : TPTP v8.1.0. Released v4.0.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon May 30 08:35:10 EDT 2022 % 0.13/0.34 % CPUTime : % 0.38/0.58 (* PROOF-FOUND *) % 0.38/0.58 % SZS status Theorem % 0.38/0.58 (* BEGIN-PROOF *) % 0.38/0.58 % SZS output start Proof % 0.38/0.58 Theorem m__ : (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP)))). % 0.38/0.58 Proof. % 0.38/0.58 assert (zenon_L1_ : (~(aScalar0 (sdtpldt0 (xR) (xS)))) -> (aScalar0 (xS)) -> (aScalar0 (xR)) -> False). % 0.38/0.58 do 0 intro. intros zenon_H3f zenon_H40 zenon_H41. % 0.38/0.58 generalize (mSumSc (xR)). zenon_intro zenon_H42. % 0.38/0.58 generalize (zenon_H42 (xS)). zenon_intro zenon_H43. % 0.38/0.58 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.38/0.58 exact (zenon_H47 zenon_H41). % 0.38/0.58 exact (zenon_H46 zenon_H40). % 0.38/0.58 exact (zenon_H3f zenon_H44). % 0.38/0.58 (* end of lemma zenon_L1_ *) % 0.38/0.58 assert (zenon_L2_ : (~(aScalar0 (sdtpldt0 (xP) (xP)))) -> (aScalar0 (xP)) -> False). % 0.38/0.58 do 0 intro. intros zenon_H48 zenon_H49. % 0.38/0.58 generalize (mSumSc (xP)). zenon_intro zenon_H4a. % 0.38/0.58 generalize (zenon_H4a (xP)). zenon_intro zenon_H4b. % 0.38/0.58 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4e | zenon_intro zenon_H4e ]. % 0.38/0.58 exact (zenon_H4e zenon_H49). % 0.38/0.58 exact (zenon_H4e zenon_H49). % 0.38/0.58 exact (zenon_H48 zenon_H4c). % 0.38/0.58 (* end of lemma zenon_L2_ *) % 0.38/0.58 apply NNPP. intro zenon_G. % 0.38/0.58 apply (zenon_and_s _ _ m__1892). zenon_intro zenon_H41. zenon_intro zenon_H4f. % 0.38/0.58 apply (zenon_and_s _ _ m__1911). zenon_intro zenon_H49. zenon_intro zenon_H50. % 0.38/0.58 apply (zenon_and_s _ _ m__1930). zenon_intro zenon_H40. zenon_intro zenon_H51. % 0.38/0.58 apply (zenon_and_s _ _ m__2628). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.38/0.58 generalize (mLEMonM (sdtpldt0 (xR) (xS))). zenon_intro zenon_H54. % 0.38/0.58 generalize (zenon_H54 (sdtpldt0 (xP) (xP))). zenon_intro zenon_H55. % 0.38/0.58 generalize (zenon_H55 (sdtpldt0 (xR) (xS))). zenon_intro zenon_H56. % 0.38/0.58 generalize (zenon_H56 (sdtpldt0 (xP) (xP))). zenon_intro zenon_H57. % 0.38/0.58 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_H3f | zenon_intro zenon_H5a ]. % 0.38/0.58 apply (zenon_L1_); trivial. % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H48 | zenon_intro zenon_H5b ]. % 0.38/0.58 apply (zenon_L2_); trivial. % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H3f | zenon_intro zenon_H48 ]. % 0.38/0.58 apply (zenon_L1_); trivial. % 0.38/0.58 apply (zenon_L2_); trivial. % 0.38/0.58 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ]. % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.38/0.58 exact (zenon_H5f m__2610). % 0.38/0.58 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ]. % 0.38/0.58 exact (zenon_H60 zenon_H53). % 0.38/0.58 exact (zenon_H5f m__2610). % 0.38/0.58 exact (zenon_G zenon_H5c). % 0.38/0.58 Qed. % 0.38/0.58 % SZS output end Proof % 0.38/0.58 (* END-PROOF *) % 0.38/0.58 nodes searched: 731 % 0.38/0.58 max branch formulas: 637 % 0.38/0.58 proof nodes created: 36 % 0.38/0.58 formulas created: 10079 % 0.38/0.58 %------------------------------------------------------------------------------