%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 37.45s 37.66s % Output : Proof 37.45s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n025.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 14:24:04 EDT 2022 % 0.12/0.34 % CPUTime : % 37.45/37.66 (* PROOF-FOUND *) % 37.45/37.66 % SZS status Theorem % 37.45/37.66 (* BEGIN-PROOF *) % 37.45/37.66 % SZS output start Proof % 37.45/37.66 Theorem nota_unp_thm : (nota (unp) (thm)). % 37.45/37.66 Proof. % 37.45/37.66 assert (zenon_L1_ : forall (zenon_TAx_bl : zenon_U) (zenon_TC_bm : zenon_U), (~(exists Ax : zenon_U, (exists C : zenon_U, ((status Ax C (unp))/\(~(status Ax C (thm))))))) -> (~(status zenon_TC_bm zenon_TAx_bl (thm))) -> (exists I1 : zenon_U, (model I1 zenon_TC_bm)) -> False). % 37.45/37.66 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24. % 37.45/37.66 apply zenon_H22. exists zenon_TC_bm. apply NNPP. zenon_intro zenon_H27. % 37.45/37.66 apply zenon_H27. exists zenon_TAx_bl. apply NNPP. zenon_intro zenon_H28. % 37.45/37.66 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 37.45/37.66 generalize (unp zenon_TC_bm). zenon_intro zenon_H2b. % 37.45/37.66 generalize (zenon_H2b zenon_TAx_bl). zenon_intro zenon_H2c. % 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H2f; zenon_intro zenon_H2a | zenon_intro zenon_H2e; zenon_intro zenon_H2d ]. % 37.45/37.66 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 37.45/37.66 exact (zenon_H31 zenon_H24). % 37.45/37.66 exact (zenon_H2a zenon_H2d). % 37.45/37.66 exact (zenon_H29 zenon_H23). % 37.45/37.66 (* end of lemma zenon_L1_ *) % 37.45/37.66 assert (zenon_L2_ : forall (zenon_TI3_cb : zenon_U) (zenon_TAx_bl : zenon_U) (zenon_TC_bm : zenon_U), (forall I1 : zenon_U, ((model I1 zenon_TC_bm)->(model I1 zenon_TAx_bl))) -> (model zenon_TI3_cb zenon_TC_bm) -> (~(model zenon_TI3_cb zenon_TAx_bl)) -> False). % 37.45/37.66 do 3 intro. intros zenon_H32 zenon_H33 zenon_H34. % 37.45/37.66 generalize (zenon_H32 zenon_TI3_cb). zenon_intro zenon_H36. % 37.45/37.66 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 37.45/37.66 exact (zenon_H38 zenon_H33). % 37.45/37.66 exact (zenon_H34 zenon_H37). % 37.45/37.66 (* end of lemma zenon_L2_ *) % 37.45/37.66 assert (zenon_L3_ : forall (zenon_TC_bm : zenon_U) (zenon_TAx_bl : zenon_U) (zenon_TI3_cb : zenon_U), (~(model zenon_TI3_cb zenon_TAx_bl)) -> (model zenon_TI3_cb zenon_TC_bm) -> (exists I1 : zenon_U, (model I1 zenon_TC_bm)) -> (~(exists Ax : zenon_U, (exists C : zenon_U, ((status Ax C (unp))/\(~(status Ax C (thm))))))) -> False). % 37.45/37.66 do 3 intro. intros zenon_H34 zenon_H33 zenon_H24 zenon_H22. % 37.45/37.66 generalize (thm zenon_TC_bm). zenon_intro zenon_H39. % 37.45/37.66 generalize (zenon_H39 zenon_TAx_bl). zenon_intro zenon_H3a. % 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3c; zenon_intro zenon_H23 | zenon_intro zenon_H32; zenon_intro zenon_H3b ]. % 37.45/37.66 apply (zenon_L1_ zenon_TAx_bl zenon_TC_bm); trivial. % 37.45/37.66 apply (zenon_L2_ zenon_TI3_cb zenon_TAx_bl zenon_TC_bm); trivial. % 37.45/37.66 (* end of lemma zenon_L3_ *) % 37.45/37.66 assert (zenon_L4_ : forall (zenon_TI3_cb : zenon_U) (zenon_TC_bm : zenon_U), (~(exists I1 : zenon_U, (model I1 zenon_TC_bm))) -> (model zenon_TI3_cb zenon_TC_bm) -> False). % 37.45/37.66 do 2 intro. intros zenon_H31 zenon_H33. % 37.45/37.66 apply zenon_H31. exists zenon_TI3_cb. apply NNPP. zenon_intro zenon_H38. % 37.45/37.66 exact (zenon_H38 zenon_H33). % 37.45/37.66 (* end of lemma zenon_L4_ *) % 37.45/37.66 apply NNPP. intro zenon_G. % 37.45/37.66 elim mixed_pair. zenon_intro zenon_TAx_bl. zenon_intro zenon_H3d. % 37.45/37.66 elim zenon_H3d. zenon_intro zenon_TC_bm. zenon_intro zenon_H3e. % 37.45/37.66 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 37.45/37.66 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41. % 37.45/37.66 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H44. zenon_intro zenon_H43. % 37.45/37.66 elim zenon_H44. zenon_intro zenon_TI3_cb. zenon_intro zenon_H45. % 37.45/37.66 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H34. zenon_intro zenon_H33. % 37.45/37.66 generalize (nota (unp)). zenon_intro zenon_H46. % 37.45/37.66 generalize (zenon_H46 (thm)). zenon_intro zenon_H47. % 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H47); [ zenon_intro zenon_H22; zenon_intro zenon_G | zenon_intro zenon_H49; zenon_intro zenon_H48 ]. % 37.45/37.66 generalize (cax zenon_TC_bm). zenon_intro zenon_H0. % 37.45/37.66 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4a. % 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H4a); [ zenon_intro zenon_H4d; zenon_intro zenon_H4c | zenon_intro zenon_H31; zenon_intro zenon_H4b ]. % 37.45/37.66 apply zenon_H4d. zenon_intro zenon_H24. % 37.45/37.66 apply (zenon_L3_ zenon_TC_bm zenon_TAx_bl zenon_TI3_cb); trivial. % 37.45/37.66 apply (zenon_L4_ zenon_TI3_cb zenon_TC_bm); trivial. % 37.45/37.66 exact (zenon_G zenon_H48). % 37.45/37.66 Qed. % 37.45/37.66 % SZS output end Proof % 37.45/37.66 (* END-PROOF *) % 37.45/37.66 nodes searched: 1819457 % 37.45/37.66 max branch formulas: 15800 % 37.45/37.66 proof nodes created: 98445 % 37.45/37.66 formulas created: 4545725 % 37.45/37.66 %------------------------------------------------------------------------------