%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS256+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 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 : Sun Jul 17 03:39:52 EDT 2022 % Result : Theorem 11.10s 11.33s % Output : Proof 11.10s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS256+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.03/0.13 % 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 : Tue Jun 7 19:24:21 EDT 2022 % 0.12/0.34 % CPUTime : % 11.10/11.33 (* PROOF-FOUND *) % 11.10/11.33 % SZS status Theorem % 11.10/11.33 (* BEGIN-PROOF *) % 11.10/11.33 % SZS output start Proof % 11.10/11.33 Theorem mighta_esa_thm : (mighta (esa) (thm)). % 11.10/11.33 Proof. % 11.10/11.33 assert (zenon_L1_ : forall (zenon_TAx_bj : zenon_U), (~(forall I1 : zenon_U, ((model I1 zenon_TAx_bj)->(model I1 zenon_TAx_bj)))) -> False). % 11.10/11.33 do 1 intro. intros zenon_H22. % 11.10/11.33 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bj)->(model I1 zenon_TAx_bj))) zenon_H22); [ zenon_intro zenon_H24; idtac ]. % 11.10/11.33 elim zenon_H24. zenon_intro zenon_TI1_bl. zenon_intro zenon_H26. % 11.10/11.33 apply (zenon_notimply_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27. % 11.10/11.33 exact (zenon_H27 zenon_H28). % 11.10/11.33 (* end of lemma zenon_L1_ *) % 11.10/11.33 assert (zenon_L2_ : forall (zenon_TF_br : zenon_U), (~(~(exists I2 : zenon_U, (model I2 zenon_TF_br)))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_br))) -> False). % 11.10/11.33 do 1 intro. intros zenon_H29 zenon_H2a. % 11.10/11.33 exact (zenon_H29 zenon_H2a). % 11.10/11.33 (* end of lemma zenon_L2_ *) % 11.10/11.33 assert (zenon_L3_ : forall (zenon_TAx_bj : zenon_U) (zenon_TI1_bu : zenon_U) (zenon_TF_br : zenon_U), (~(exists I2 : zenon_U, (model I2 zenon_TF_br))) -> (model zenon_TI1_bu zenon_TAx_bj) -> (~(exists C : zenon_U, ((status zenon_TAx_bj C (esa))/\(status zenon_TAx_bj C (thm))))) -> False). % 11.10/11.33 do 3 intro. intros zenon_H2a zenon_H2c zenon_H2d. % 11.10/11.33 generalize (unp zenon_TF_br). zenon_intro zenon_H2f. % 11.10/11.33 generalize (zenon_H2f zenon_TAx_bj). zenon_intro zenon_H30. % 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ]. % 11.10/11.33 apply (zenon_notimply_s _ _ zenon_H34). zenon_intro zenon_H2a. zenon_intro zenon_H35. % 11.10/11.33 apply zenon_H35. zenon_intro zenon_H36. % 11.10/11.33 generalize (thm zenon_TAx_bj). zenon_intro zenon_H37. % 11.10/11.33 generalize (zenon_H37 zenon_TAx_bj). zenon_intro zenon_H38. % 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H22; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H39 ]. % 11.10/11.33 apply (zenon_L1_ zenon_TAx_bj); trivial. % 11.10/11.33 generalize (esa zenon_TAx_bj). zenon_intro zenon_H3c. % 11.10/11.33 apply zenon_H2d. exists zenon_TAx_bj. apply NNPP. zenon_intro zenon_H3d. % 11.10/11.33 apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H3e | zenon_intro zenon_H3b ]. % 11.10/11.33 generalize (zenon_H3c zenon_TAx_bj). zenon_intro zenon_H3f. % 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H42; zenon_intro zenon_H3e | zenon_intro zenon_H41; zenon_intro zenon_H40 ]. % 11.10/11.33 apply (zenon_notequiv_s _ _ zenon_H42); [ zenon_intro zenon_H43; zenon_intro zenon_H36 | zenon_intro zenon_H36; zenon_intro zenon_H43 ]. % 11.10/11.33 exact (zenon_H43 zenon_H36). % 11.10/11.33 exact (zenon_H43 zenon_H36). % 11.10/11.33 exact (zenon_H3e zenon_H40). % 11.10/11.33 exact (zenon_H3b zenon_H39). % 11.10/11.33 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H43 ]. % 11.10/11.33 exact (zenon_H29 zenon_H2a). % 11.10/11.33 apply zenon_H43. exists zenon_TI1_bu. apply NNPP. zenon_intro zenon_H44. % 11.10/11.33 exact (zenon_H44 zenon_H2c). % 11.10/11.33 (* end of lemma zenon_L3_ *) % 11.10/11.33 apply NNPP. intro zenon_G. % 11.10/11.33 elim contradiction. zenon_intro zenon_TF_br. zenon_intro zenon_H45. % 11.10/11.33 elim sat_non_taut_pair. zenon_intro zenon_TAx_bj. zenon_intro zenon_H46. % 11.10/11.33 elim zenon_H46. zenon_intro zenon_TC_ct. zenon_intro zenon_H48. % 11.10/11.33 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 11.10/11.33 elim zenon_H4a. zenon_intro zenon_TI1_bu. zenon_intro zenon_H4b. % 11.10/11.33 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H2c. zenon_intro zenon_H4c. % 11.10/11.33 generalize (mighta (esa)). zenon_intro zenon_H4d. % 11.10/11.33 generalize (zenon_H4d (thm)). zenon_intro zenon_H4e. % 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H51; zenon_intro zenon_G | zenon_intro zenon_H50; zenon_intro zenon_H4f ]. % 11.10/11.33 apply zenon_H51. exists zenon_TAx_bj. apply NNPP. zenon_intro zenon_H2d. % 11.10/11.33 generalize (cax zenon_TF_br). zenon_intro zenon_H0. % 11.10/11.33 generalize (zenon_H0 zenon_E). zenon_intro zenon_H52. % 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H52); [ zenon_intro zenon_H29; zenon_intro zenon_H54 | zenon_intro zenon_H2a; zenon_intro zenon_H53 ]. % 11.10/11.33 apply zenon_H29. zenon_intro zenon_H55. % 11.10/11.33 elim zenon_H55. zenon_intro zenon_TI2_di. zenon_intro zenon_H57. % 11.10/11.33 generalize (zenon_H45 zenon_TI2_di). zenon_intro zenon_H58. % 11.10/11.33 exact (zenon_H58 zenon_H57). % 11.10/11.33 apply (zenon_L3_ zenon_TAx_bj zenon_TI1_bu zenon_TF_br); trivial. % 11.10/11.34 exact (zenon_G zenon_H4f). % 11.10/11.34 Qed. % 11.10/11.34 % SZS output end Proof % 11.10/11.34 (* END-PROOF *) % 11.10/11.34 nodes searched: 332652 % 11.10/11.34 max branch formulas: 24109 % 11.10/11.34 proof nodes created: 15621 % 11.10/11.34 formulas created: 951488 % 11.10/11.34 %------------------------------------------------------------------------------