%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS266+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 03:39:53 EDT 2022 % Result : Theorem 0.43s 0.60s % Output : Proof 0.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : KRS266+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.11/0.33 % Computer : n024.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Tue Jun 7 10:35:50 EDT 2022 % 0.11/0.33 % CPUTime : % 0.43/0.60 (* PROOF-FOUND *) % 0.43/0.60 % SZS status Theorem % 0.43/0.60 (* BEGIN-PROOF *) % 0.43/0.60 % SZS output start Proof % 0.43/0.60 Theorem mighta_sca_thm : (mighta (sca) (thm)). % 0.43/0.60 Proof. % 0.43/0.60 assert (zenon_L1_ : forall (zenon_TF_bl : zenon_U) (zenon_TF_bm : zenon_U), (~(status zenon_TF_bm zenon_TF_bl (sca))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bm))) -> (exists I1 : zenon_U, (model I1 zenon_TF_bl)) -> False). % 0.43/0.60 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24. % 0.43/0.60 generalize (sca zenon_TF_bm). zenon_intro zenon_H27. % 0.43/0.60 generalize (zenon_H27 zenon_TF_bl). zenon_intro zenon_H28. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H2b; zenon_intro zenon_H22 | zenon_intro zenon_H2a; zenon_intro zenon_H29 ]. % 0.43/0.60 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.43/0.60 exact (zenon_H2d zenon_H23). % 0.43/0.60 exact (zenon_H2c zenon_H24). % 0.43/0.60 exact (zenon_H22 zenon_H29). % 0.43/0.60 (* end of lemma zenon_L1_ *) % 0.43/0.60 apply NNPP. intro zenon_G. % 0.43/0.60 elim satisfiable. zenon_intro zenon_TF_bl. zenon_intro zenon_H2e. % 0.43/0.60 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H24. zenon_intro zenon_H2f. % 0.43/0.60 elim contradiction. zenon_intro zenon_TF_bm. zenon_intro zenon_H30. % 0.43/0.60 generalize (mighta (sca)). zenon_intro zenon_H31. % 0.43/0.60 generalize (zenon_H31 (thm)). zenon_intro zenon_H32. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H35; zenon_intro zenon_G | zenon_intro zenon_H34; zenon_intro zenon_H33 ]. % 0.43/0.60 apply zenon_H35. exists zenon_TF_bm. apply NNPP. zenon_intro zenon_H36. % 0.43/0.60 generalize (thm zenon_TF_bm). zenon_intro zenon_H37. % 0.43/0.60 generalize (zenon_H37 zenon_TF_bl). zenon_intro zenon_H38. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H39 ]. % 0.43/0.60 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bm)->(model I1 zenon_TF_bl))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ]. % 0.43/0.60 elim zenon_H3d. zenon_intro zenon_TI1_ck. zenon_intro zenon_H3f. % 0.43/0.60 apply (zenon_notimply_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.43/0.60 generalize (zenon_H30 zenon_TI1_ck). zenon_intro zenon_H42. % 0.43/0.60 exact (zenon_H42 zenon_H41). % 0.43/0.60 apply zenon_H36. exists zenon_TF_bl. apply NNPP. zenon_intro zenon_H43. % 0.43/0.60 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H22 | zenon_intro zenon_H3b ]. % 0.43/0.60 generalize (cax zenon_TF_bm). zenon_intro zenon_H0. % 0.43/0.60 generalize (zenon_H0 zenon_E). zenon_intro zenon_H44. % 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H44); [ zenon_intro zenon_H2d; zenon_intro zenon_H46 | zenon_intro zenon_H23; zenon_intro zenon_H45 ]. % 0.43/0.60 apply zenon_H2d. zenon_intro zenon_H47. % 0.43/0.60 elim zenon_H47. zenon_intro zenon_TI2_cu. zenon_intro zenon_H49. % 0.43/0.60 generalize (zenon_H30 zenon_TI2_cu). zenon_intro zenon_H4a. % 0.43/0.60 exact (zenon_H4a zenon_H49). % 0.43/0.60 apply (zenon_L1_ zenon_TF_bl zenon_TF_bm); trivial. % 0.43/0.60 exact (zenon_H3b zenon_H39). % 0.43/0.60 exact (zenon_G zenon_H33). % 0.43/0.60 Qed. % 0.43/0.60 % SZS output end Proof % 0.43/0.60 (* END-PROOF *) % 0.43/0.60 nodes searched: 5018 % 0.43/0.60 max branch formulas: 1567 % 0.43/0.60 proof nodes created: 289 % 0.43/0.60 formulas created: 30861 % 0.43/0.60 %------------------------------------------------------------------------------