%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 15:56:46 EDT 2022 % Result : Theorem 0.46s 0.66s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : NUM552+3 : TPTP v8.1.0. Released v4.0.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n005.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 : Tue Jul 5 11:14:22 EDT 2022 % 0.12/0.33 % CPUTime : % 0.46/0.66 (* PROOF-FOUND *) % 0.46/0.66 % SZS status Theorem % 0.46/0.66 (* BEGIN-PROOF *) % 0.46/0.66 % SZS output start Proof % 0.46/0.66 Theorem m__ : ((aElementOf0 (xx) (xQ))->(aElementOf0 (xx) (xT))). % 0.46/0.66 Proof. % 0.46/0.66 assert (zenon_L1_ : ((aSet0 (xQ))/\((forall W1 : zenon_U, ((aElementOf0 W1 (xQ))->(aElementOf0 W1 (xT))))/\((aSubsetOf0 (xQ) (xT))/\((sbrdtbr0 (xQ)) = (xk))))) -> (~((aElementOf0 (xx) (xQ))->(aElementOf0 (xx) (xT)))) -> False). % 0.46/0.66 do 0 intro. intros zenon_H44 zenon_G. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H46. zenon_intro zenon_H45. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H48. zenon_intro zenon_H47. % 0.46/0.66 generalize (zenon_H48 (xx)). zenon_intro zenon_H49. % 0.46/0.66 exact (zenon_G zenon_H49). % 0.46/0.66 (* end of lemma zenon_L1_ *) % 0.46/0.66 apply NNPP. intro zenon_G. % 0.46/0.66 apply (zenon_and_s _ _ m__2227). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.46/0.66 apply (zenon_and_s _ _ m__2270). zenon_intro zenon_H46. zenon_intro zenon_H54. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H54). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H58. zenon_intro zenon_H57. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H5a. zenon_intro zenon_H59. % 0.46/0.66 generalize (zenon_H51 (xQ)). zenon_intro zenon_H5b. % 0.46/0.66 apply (zenon_and_s _ _ zenon_H5b). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.46/0.66 apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5e | zenon_intro zenon_H44 ]. % 0.46/0.66 generalize (zenon_H53 (xQ)). zenon_intro zenon_H5f. % 0.46/0.66 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.46/0.66 exact (zenon_H61 zenon_H59). % 0.46/0.66 exact (zenon_H5e zenon_H60). % 0.46/0.66 apply (zenon_L1_); trivial. % 0.46/0.66 Qed. % 0.46/0.66 % SZS output end Proof % 0.46/0.66 (* END-PROOF *) % 0.46/0.66 nodes searched: 4832 % 0.46/0.66 max branch formulas: 1182 % 0.46/0.66 proof nodes created: 94 % 0.46/0.66 formulas created: 26964 % 0.46/0.66 %------------------------------------------------------------------------------