%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.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 : Thu Jul 21 13:51:33 EDT 2022 % Result : Theorem 0.22s 0.53s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0. % 0.04/0.14 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n006.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Mon Jul 11 17:05:20 EDT 2022 % 0.15/0.36 % CPUTime : % 0.22/0.53 (* PROOF-FOUND *) % 0.22/0.53 % SZS status Theorem % 0.22/0.53 (* BEGIN-PROOF *) % 0.22/0.53 % SZS output start Proof % 0.22/0.53 Theorem x2116 : (((forall X : zenon_U, (exists Y : zenon_U, ((big_p X)->((big_r X (g (h Y)))/\(big_p Y)))))/\(forall W : zenon_U, ((big_p W)->((big_p (g W))/\(big_p (h W))))))->(forall X : zenon_U, ((big_p X)->(exists Y : zenon_U, ((big_r X Y)/\(big_p Y)))))). % 0.22/0.53 Proof. % 0.22/0.53 apply NNPP. intro zenon_G. % 0.22/0.53 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.22/0.53 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.22/0.53 apply (zenon_notallex_s (fun X : zenon_U => ((big_p X)->(exists Y : zenon_U, ((big_r X Y)/\(big_p Y))))) zenon_H1); [ zenon_intro zenon_H5; idtac ]. % 0.22/0.53 elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7. % 0.22/0.53 apply (zenon_notimply_s _ _ zenon_H7). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.22/0.53 generalize (zenon_H4 zenon_TX_g). zenon_intro zenon_Ha. % 0.22/0.53 elim zenon_Ha. zenon_intro zenon_TY_l. zenon_intro zenon_Hc. % 0.22/0.53 apply (zenon_imply_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.22/0.53 exact (zenon_He zenon_H9). % 0.22/0.53 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 0.22/0.53 generalize (zenon_H3 (h zenon_TY_l)). zenon_intro zenon_H11. % 0.22/0.53 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ]. % 0.22/0.53 generalize (zenon_H3 zenon_TY_l). zenon_intro zenon_H14. % 0.22/0.53 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 0.22/0.53 exact (zenon_H16 zenon_Hf). % 0.22/0.53 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.22/0.53 exact (zenon_H13 zenon_H17). % 0.22/0.53 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.22/0.53 apply zenon_H8. exists (g (h zenon_TY_l)). apply NNPP. zenon_intro zenon_H1b. % 0.22/0.53 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.22/0.53 exact (zenon_H1d zenon_H10). % 0.22/0.53 exact (zenon_H1c zenon_H1a). % 0.22/0.53 Qed. % 0.22/0.53 % SZS output end Proof % 0.22/0.53 (* END-PROOF *) % 0.22/0.53 nodes searched: 73 % 0.22/0.53 max branch formulas: 65 % 0.22/0.53 proof nodes created: 27 % 0.22/0.53 formulas created: 437 % 0.22/0.53 %------------------------------------------------------------------------------