%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV413+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 : Wed Jul 20 23:04:15 EDT 2022 % Result : Theorem 0.21s 0.56s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWV413+1 : TPTP v8.1.0. Released v3.3.0. % 0.12/0.14 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n018.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Thu Jun 16 01:20:00 EDT 2022 % 0.14/0.36 % CPUTime : % 0.21/0.56 (* PROOF-FOUND *) % 0.21/0.56 % SZS status Theorem % 0.21/0.56 (* BEGIN-PROOF *) % 0.21/0.56 % SZS output start Proof % 0.21/0.56 Theorem l49_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list U V W)/\((strictly_less_than V X)/\(less_than X W)))->(exists Y : zenon_U, ((pair_in_list (update_slb U X) V Y)/\(less_than X Y)))))))). % 0.21/0.56 Proof. % 0.21/0.56 apply NNPP. intro zenon_G. % 0.21/0.56 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list U V W)/\((strictly_less_than V X)/\(less_than X W)))->(exists Y : zenon_U, ((pair_in_list (update_slb U X) V Y)/\(less_than X Y)))))))) zenon_G); [ zenon_intro zenon_H14; idtac ]. % 0.21/0.56 elim zenon_H14. zenon_intro zenon_TU_v. zenon_intro zenon_H16. % 0.21/0.56 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list zenon_TU_v V W)/\((strictly_less_than V X)/\(less_than X W)))->(exists Y : zenon_U, ((pair_in_list (update_slb zenon_TU_v X) V Y)/\(less_than X Y))))))) zenon_H16); [ zenon_intro zenon_H17; idtac ]. % 0.21/0.56 elim zenon_H17. zenon_intro zenon_TV_y. zenon_intro zenon_H19. % 0.21/0.56 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (((pair_in_list zenon_TU_v zenon_TV_y W)/\((strictly_less_than zenon_TV_y X)/\(less_than X W)))->(exists Y : zenon_U, ((pair_in_list (update_slb zenon_TU_v X) zenon_TV_y Y)/\(less_than X Y)))))) zenon_H19); [ zenon_intro zenon_H1a; idtac ]. % 0.21/0.56 elim zenon_H1a. zenon_intro zenon_TW_bb. zenon_intro zenon_H1c. % 0.21/0.56 apply (zenon_notallex_s (fun X : zenon_U => (((pair_in_list zenon_TU_v zenon_TV_y zenon_TW_bb)/\((strictly_less_than zenon_TV_y X)/\(less_than X zenon_TW_bb)))->(exists Y : zenon_U, ((pair_in_list (update_slb zenon_TU_v X) zenon_TV_y Y)/\(less_than X Y))))) zenon_H1c); [ zenon_intro zenon_H1d; idtac ]. % 0.21/0.56 elim zenon_H1d. zenon_intro zenon_TX_be. zenon_intro zenon_H1f. % 0.21/0.56 apply (zenon_notimply_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.21/0.56 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.21/0.56 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.21/0.56 apply zenon_H20. exists zenon_TW_bb. apply NNPP. zenon_intro zenon_H26. % 0.21/0.56 apply (zenon_notand_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.21/0.56 generalize (l49_li3637 zenon_TU_v). zenon_intro zenon_H29. % 0.21/0.56 generalize (zenon_H29 zenon_TV_y). zenon_intro zenon_H2a. % 0.21/0.56 generalize (zenon_H2a zenon_TW_bb). zenon_intro zenon_H2b. % 0.21/0.56 generalize (zenon_H2b zenon_TX_be). zenon_intro zenon_H2c. % 0.21/0.56 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.21/0.56 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H2f | zenon_intro zenon_H27 ]. % 0.21/0.56 exact (zenon_H2f zenon_H23). % 0.21/0.56 exact (zenon_H27 zenon_H24). % 0.21/0.56 exact (zenon_H28 zenon_H2d). % 0.21/0.56 exact (zenon_H27 zenon_H24). % 0.21/0.56 Qed. % 0.21/0.56 % SZS output end Proof % 0.21/0.56 (* END-PROOF *) % 0.21/0.56 nodes searched: 567 % 0.21/0.56 max branch formulas: 309 % 0.21/0.56 proof nodes created: 57 % 0.21/0.56 formulas created: 2791 % 0.21/0.56 %------------------------------------------------------------------------------