%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 03:39:45 EDT 2022 % Result : Theorem 51.56s 51.78s % Output : Proof 51.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n027.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 11:34:10 EDT 2022 % 0.13/0.34 % CPUTime : % 51.56/51.78 (* PROOF-FOUND *) % 51.56/51.78 % SZS status Theorem % 51.56/51.78 (* BEGIN-PROOF *) % 51.56/51.78 % SZS output start Proof % 51.56/51.78 Theorem nota_sap_thm : (nota (sap) (thm)). % 51.56/51.78 Proof. % 51.56/51.78 assert (zenon_L1_ : forall (zenon_TAx_bj : zenon_U) (zenon_TC_bk : zenon_U), (~(~(status zenon_TC_bk zenon_TAx_bj (thm)))) -> (~(status zenon_TC_bk zenon_TAx_bj (thm))) -> False). % 51.56/51.78 do 2 intro. intros zenon_H21 zenon_H22. % 51.56/51.78 exact (zenon_H21 zenon_H22). % 51.56/51.78 (* end of lemma zenon_L1_ *) % 51.56/51.78 assert (zenon_L2_ : forall (zenon_TAx_bj : zenon_U) (zenon_TC_bk : zenon_U), (~(exists Ax : zenon_U, (exists C : zenon_U, ((status Ax C (sap))/\(~(status Ax C (thm))))))) -> (~(status zenon_TC_bk zenon_TAx_bj (thm))) -> (exists I1 : zenon_U, (model I1 zenon_TAx_bj)) -> (forall C : zenon_U, (((exists I1 : zenon_U, (model I1 zenon_TC_bk))->(exists I2 : zenon_U, (model I2 C)))<->(status zenon_TC_bk C (sap)))) -> False). % 51.56/51.78 do 2 intro. intros zenon_H25 zenon_H22 zenon_H26 zenon_H27. % 51.56/51.78 apply zenon_H25. exists zenon_TC_bk. apply NNPP. zenon_intro zenon_H28. % 51.56/51.78 apply zenon_H28. exists zenon_TAx_bj. apply NNPP. zenon_intro zenon_H29. % 51.56/51.78 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H21 ]. % 51.56/51.78 generalize (zenon_H27 zenon_TAx_bj). zenon_intro zenon_H2b. % 51.56/51.78 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2e; zenon_intro zenon_H2a | zenon_intro zenon_H2d; zenon_intro zenon_H2c ]. % 51.56/51.78 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 51.56/51.78 exact (zenon_H2f zenon_H26). % 51.56/51.78 exact (zenon_H2a zenon_H2c). % 51.56/51.78 exact (zenon_H21 zenon_H22). % 51.56/51.78 (* end of lemma zenon_L2_ *) % 51.56/51.78 assert (zenon_L3_ : forall (zenon_TI3_ca : zenon_U) (zenon_TAx_bj : zenon_U) (zenon_TC_bk : zenon_U), (forall I1 : zenon_U, ((model I1 zenon_TC_bk)->(model I1 zenon_TAx_bj))) -> (model zenon_TI3_ca zenon_TC_bk) -> (~(model zenon_TI3_ca zenon_TAx_bj)) -> False). % 51.56/51.78 do 3 intro. intros zenon_H31 zenon_H32 zenon_H33. % 51.56/51.78 generalize (zenon_H31 zenon_TI3_ca). zenon_intro zenon_H35. % 51.56/51.78 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 51.56/51.78 exact (zenon_H37 zenon_H32). % 51.56/51.78 exact (zenon_H33 zenon_H36). % 51.56/51.78 (* end of lemma zenon_L3_ *) % 51.56/51.78 apply NNPP. intro zenon_G. % 51.56/51.78 elim mixed_pair. zenon_intro zenon_TAx_bj. zenon_intro zenon_H38. % 51.56/51.78 elim zenon_H38. zenon_intro zenon_TC_bk. zenon_intro zenon_H39. % 51.56/51.78 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H26. zenon_intro zenon_H3a. % 51.56/51.78 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 51.56/51.78 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 51.56/51.78 elim zenon_H3e. zenon_intro zenon_TI3_ca. zenon_intro zenon_H3f. % 51.56/51.78 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H33. zenon_intro zenon_H32. % 51.56/51.78 generalize (nota (sap)). zenon_intro zenon_H40. % 51.56/51.78 generalize (zenon_H40 (thm)). zenon_intro zenon_H41. % 51.56/51.78 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H25; zenon_intro zenon_G | zenon_intro zenon_H43; zenon_intro zenon_H42 ]. % 51.56/51.78 generalize (thm zenon_TC_bk). zenon_intro zenon_H44. % 51.56/51.78 generalize (sap zenon_TC_bk). zenon_intro zenon_H27. % 51.56/51.78 generalize (zenon_H44 zenon_TAx_bj). zenon_intro zenon_H45. % 51.56/51.78 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H47; zenon_intro zenon_H22 | zenon_intro zenon_H31; zenon_intro zenon_H46 ]. % 51.56/51.78 apply (zenon_L2_ zenon_TAx_bj zenon_TC_bk); trivial. % 51.56/51.78 apply (zenon_L3_ zenon_TI3_ca zenon_TAx_bj zenon_TC_bk); trivial. % 51.56/51.78 exact (zenon_G zenon_H42). % 51.56/51.78 Qed. % 51.56/51.78 % SZS output end Proof % 51.56/51.78 (* END-PROOF *) % 51.56/51.78 nodes searched: 2244303 % 51.56/51.78 max branch formulas: 15853 % 51.56/51.78 proof nodes created: 129288 % 51.56/51.78 formulas created: 5634781 % 51.56/51.78 %------------------------------------------------------------------------------