%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS254+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 03:39:51 EDT 2022 % Result : Theorem 0.50s 0.68s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : KRS254+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n020.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 : Tue Jun 7 14:39:36 EDT 2022 % 0.13/0.35 % CPUTime : % 0.50/0.68 (* PROOF-FOUND *) % 0.50/0.68 % SZS status Theorem % 0.50/0.68 (* BEGIN-PROOF *) % 0.50/0.68 % SZS output start Proof % 0.50/0.68 Theorem mighta_unp_thm : (mighta (unp) (thm)). % 0.50/0.68 Proof. % 0.50/0.68 assert (zenon_L1_ : forall (zenon_TF_bl : zenon_U), (~(exists C : zenon_U, ((status zenon_TF_bl C (unp))/\(status zenon_TF_bl C (thm))))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bl))) -> (status zenon_TF_bl zenon_TF_bl (thm)) -> False). % 0.50/0.68 do 1 intro. intros zenon_H22 zenon_H23 zenon_H24. % 0.50/0.68 apply zenon_H22. exists zenon_TF_bl. apply NNPP. zenon_intro zenon_H26. % 0.50/0.68 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.50/0.68 generalize (unp zenon_TF_bl). zenon_intro zenon_H29. % 0.50/0.68 generalize (zenon_H29 zenon_TF_bl). zenon_intro zenon_H2a. % 0.50/0.68 apply (zenon_equiv_s _ _ zenon_H2a); [ zenon_intro zenon_H2d; zenon_intro zenon_H28 | zenon_intro zenon_H2c; zenon_intro zenon_H2b ]. % 0.50/0.68 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H23. zenon_intro zenon_H2e. % 0.50/0.68 exact (zenon_H2e zenon_H23). % 0.50/0.68 exact (zenon_H28 zenon_H2b). % 0.50/0.68 exact (zenon_H27 zenon_H24). % 0.50/0.68 (* end of lemma zenon_L1_ *) % 0.50/0.68 apply NNPP. intro zenon_G. % 0.50/0.68 elim contradiction. zenon_intro zenon_TF_bl. zenon_intro zenon_H2f. % 0.50/0.68 generalize (mighta (unp)). zenon_intro zenon_H30. % 0.50/0.68 generalize (zenon_H30 (thm)). zenon_intro zenon_H31. % 0.50/0.68 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H34; zenon_intro zenon_G | zenon_intro zenon_H33; zenon_intro zenon_H32 ]. % 0.50/0.68 apply zenon_H34. exists zenon_TF_bl. apply NNPP. zenon_intro zenon_H22. % 0.50/0.68 generalize (thm zenon_TF_bl). zenon_intro zenon_H35. % 0.50/0.68 generalize (zenon_H35 zenon_TF_bl). zenon_intro zenon_H36. % 0.50/0.68 apply (zenon_equiv_s _ _ zenon_H36); [ zenon_intro zenon_H38; zenon_intro zenon_H27 | zenon_intro zenon_H37; zenon_intro zenon_H24 ]. % 0.50/0.68 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bl)->(model I1 zenon_TF_bl))) zenon_H38); [ zenon_intro zenon_H39; idtac ]. % 0.50/0.68 elim zenon_H39. zenon_intro zenon_TI1_cg. zenon_intro zenon_H3b. % 0.50/0.68 apply (zenon_notimply_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.50/0.68 exact (zenon_H3c zenon_H3d). % 0.50/0.68 generalize (cax zenon_TF_bl). zenon_intro zenon_H0. % 0.50/0.68 generalize (zenon_H0 zenon_E). zenon_intro zenon_H3e. % 0.50/0.68 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H2e; zenon_intro zenon_H40 | zenon_intro zenon_H23; zenon_intro zenon_H3f ]. % 0.50/0.68 apply zenon_H2e. zenon_intro zenon_H41. % 0.50/0.68 elim zenon_H41. zenon_intro zenon_TI2_co. zenon_intro zenon_H43. % 0.50/0.68 generalize (zenon_H2f zenon_TI2_co). zenon_intro zenon_H44. % 0.50/0.68 exact (zenon_H44 zenon_H43). % 0.50/0.68 apply (zenon_L1_ zenon_TF_bl); trivial. % 0.50/0.68 exact (zenon_G zenon_H32). % 0.50/0.68 Qed. % 0.50/0.68 % SZS output end Proof % 0.50/0.68 (* END-PROOF *) % 0.50/0.68 nodes searched: 6941 % 0.50/0.68 max branch formulas: 1720 % 0.50/0.68 proof nodes created: 353 % 0.50/0.68 formulas created: 35388 % 0.50/0.68 %------------------------------------------------------------------------------