%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS265+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n022.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 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : KRS265+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n022.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 Jun 7 18:18:05 EDT 2022 % 0.12/0.33 % CPUTime : % 0.46/0.64 (* PROOF-FOUND *) % 0.46/0.64 % SZS status Theorem % 0.46/0.64 (* BEGIN-PROOF *) % 0.46/0.64 % SZS output start Proof % 0.46/0.64 Theorem mighta_cax_thm : (mighta (cax) (thm)). % 0.46/0.64 Proof. % 0.46/0.64 assert (zenon_L1_ : forall (zenon_TF_bl : zenon_U), (~(exists C : zenon_U, ((status zenon_TF_bl C (cax))/\(status zenon_TF_bl C (thm))))) -> (forall C : zenon_U, ((~(exists I2 : zenon_U, (model I2 zenon_TF_bl)))<->(status zenon_TF_bl C (cax)))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bl))) -> (status zenon_TF_bl zenon_TF_bl (thm)) -> False). % 0.46/0.64 do 1 intro. intros zenon_H22 zenon_H0 zenon_H23 zenon_H24. % 0.46/0.64 apply zenon_H22. exists zenon_TF_bl. apply NNPP. zenon_intro zenon_H26. % 0.46/0.64 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.46/0.64 generalize (zenon_H0 zenon_TF_bl). zenon_intro zenon_H29. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H29); [ zenon_intro zenon_H2b; zenon_intro zenon_H28 | zenon_intro zenon_H23; zenon_intro zenon_H2a ]. % 0.46/0.64 exact (zenon_H2b zenon_H23). % 0.46/0.64 exact (zenon_H28 zenon_H2a). % 0.46/0.64 exact (zenon_H27 zenon_H24). % 0.46/0.64 (* end of lemma zenon_L1_ *) % 0.46/0.64 apply NNPP. intro zenon_G. % 0.46/0.64 elim contradiction. zenon_intro zenon_TF_bl. zenon_intro zenon_H2c. % 0.46/0.64 generalize (mighta (cax)). zenon_intro zenon_H2d. % 0.46/0.64 generalize (zenon_H2d (thm)). zenon_intro zenon_H2e. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H2e); [ zenon_intro zenon_H31; zenon_intro zenon_G | zenon_intro zenon_H30; zenon_intro zenon_H2f ]. % 0.46/0.64 apply zenon_H31. exists zenon_TF_bl. apply NNPP. zenon_intro zenon_H22. % 0.46/0.64 generalize (thm zenon_TF_bl). zenon_intro zenon_H32. % 0.46/0.64 generalize (zenon_H32 zenon_TF_bl). zenon_intro zenon_H33. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H35; zenon_intro zenon_H27 | zenon_intro zenon_H34; zenon_intro zenon_H24 ]. % 0.46/0.64 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bl)->(model I1 zenon_TF_bl))) zenon_H35); [ zenon_intro zenon_H36; idtac ]. % 0.46/0.64 elim zenon_H36. zenon_intro zenon_TI1_cd. zenon_intro zenon_H38. % 0.46/0.64 apply (zenon_notimply_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.46/0.64 exact (zenon_H39 zenon_H3a). % 0.46/0.64 generalize (cax zenon_TF_bl). zenon_intro zenon_H0. % 0.46/0.64 generalize (zenon_H0 zenon_E). zenon_intro zenon_H3b. % 0.46/0.64 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H2b; zenon_intro zenon_H3d | zenon_intro zenon_H23; zenon_intro zenon_H3c ]. % 0.46/0.64 apply zenon_H2b. zenon_intro zenon_H3e. % 0.46/0.64 elim zenon_H3e. zenon_intro zenon_TI2_cl. zenon_intro zenon_H40. % 0.46/0.64 generalize (zenon_H2c zenon_TI2_cl). zenon_intro zenon_H41. % 0.46/0.64 exact (zenon_H41 zenon_H40). % 0.46/0.64 apply (zenon_L1_ zenon_TF_bl); trivial. % 0.46/0.64 exact (zenon_G zenon_H2f). % 0.46/0.64 Qed. % 0.46/0.64 % SZS output end Proof % 0.46/0.64 (* END-PROOF *) % 0.46/0.64 nodes searched: 5515 % 0.46/0.64 max branch formulas: 1596 % 0.46/0.64 proof nodes created: 323 % 0.46/0.64 formulas created: 32750 % 0.46/0.64 %------------------------------------------------------------------------------