%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 20:48:30 EDT 2022 % Result : Theorem 0.60s 0.81s % Output : Proof 0.60s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : RNG125+1 : TPTP v8.1.0. Released v4.0.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n028.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon May 30 05:00:34 EDT 2022 % 0.12/0.33 % CPUTime : % 0.60/0.81 (* PROOF-FOUND *) % 0.60/0.81 % SZS status Theorem % 0.60/0.81 (* BEGIN-PROOF *) % 0.60/0.81 % SZS output start Proof % 0.60/0.81 Theorem m__ : False. % 0.60/0.81 Proof. % 0.60/0.81 assert (zenon_L1_ : (aSet0 (xI)) -> (aElementOf0 (xu) (xI)) -> (~(aElement0 (xu))) -> False). % 0.60/0.81 do 0 intro. intros zenon_H32 zenon_H33 zenon_H34. % 0.60/0.81 generalize (mEOfElem (xI)). zenon_intro zenon_H35. % 0.60/0.81 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.60/0.81 exact (zenon_H37 zenon_H32). % 0.60/0.81 generalize (zenon_H36 (xu)). zenon_intro zenon_H38. % 0.60/0.81 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ]. % 0.60/0.81 exact (zenon_H3a zenon_H33). % 0.60/0.81 exact (zenon_H34 zenon_H39). % 0.60/0.81 (* end of lemma zenon_L1_ *) % 0.60/0.81 apply (zenon_and_s _ _ m__2091). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.60/0.81 apply (zenon_and_s _ _ m__2174). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 0.60/0.81 generalize (mDefIdeal (xI)). zenon_intro zenon_H3f. % 0.60/0.81 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H42; zenon_intro zenon_H41 | zenon_intro zenon_H3e; zenon_intro zenon_H40 ]. % 0.60/0.81 exact (zenon_H42 zenon_H3e). % 0.60/0.81 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H32. zenon_intro zenon_H43. % 0.60/0.81 apply (zenon_and_s _ _ m__2273). zenon_intro zenon_H33. zenon_intro zenon_H44. % 0.60/0.81 apply m__2479. zenon_intro zenon_H45. % 0.60/0.81 apply m__2612. zenon_intro zenon_H46. % 0.60/0.81 apply (zenon_notand_s _ _ m__2383); [ zenon_intro zenon_H48 | zenon_intro zenon_H47 ]. % 0.60/0.81 generalize (mDefDvs (xa)). zenon_intro zenon_H49. % 0.60/0.81 apply (zenon_imply_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.60/0.81 exact (zenon_H4b zenon_H3c). % 0.60/0.81 generalize (zenon_H4a (xu)). zenon_intro zenon_H4c. % 0.60/0.81 apply (zenon_equiv_s _ _ zenon_H4c); [ zenon_intro zenon_H48; zenon_intro zenon_H4f | zenon_intro zenon_H4e; zenon_intro zenon_H4d ]. % 0.60/0.81 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H34 | zenon_intro zenon_H50 ]. % 0.60/0.81 apply (zenon_L1_); trivial. % 0.60/0.81 exact (zenon_H50 zenon_H45). % 0.60/0.81 exact (zenon_H48 zenon_H4e). % 0.60/0.81 generalize (mDefDvs (xb)). zenon_intro zenon_H51. % 0.60/0.81 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.60/0.81 exact (zenon_H53 zenon_H3b). % 0.60/0.81 generalize (zenon_H52 (xu)). zenon_intro zenon_H54. % 0.60/0.81 apply (zenon_equiv_s _ _ zenon_H54); [ zenon_intro zenon_H47; zenon_intro zenon_H57 | zenon_intro zenon_H56; zenon_intro zenon_H55 ]. % 0.60/0.81 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_H34 | zenon_intro zenon_H58 ]. % 0.60/0.81 apply (zenon_L1_); trivial. % 0.60/0.81 exact (zenon_H58 zenon_H46). % 0.60/0.81 exact (zenon_H47 zenon_H56). % 0.60/0.81 Qed. % 0.60/0.81 % SZS output end Proof % 0.60/0.81 (* END-PROOF *) % 0.60/0.81 nodes searched: 3280 % 0.60/0.81 max branch formulas: 1141 % 0.60/0.81 proof nodes created: 131 % 0.60/0.81 formulas created: 26137 % 0.60/0.81 %------------------------------------------------------------------------------