%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN050+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:49:05 EDT 2022 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN050+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.14 % Command : run_zenon %s %d % 0.15/0.35 % Computer : n009.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 600 % 0.15/0.35 % DateTime : Tue Jul 12 02:17:07 EDT 2022 % 0.15/0.35 % CPUTime : % 0.21/0.53 (* PROOF-FOUND *) % 0.21/0.53 % SZS status Theorem % 0.21/0.53 (* BEGIN-PROOF *) % 0.21/0.53 % SZS output start Proof % 0.21/0.53 Theorem pel20 : ((forall X : zenon_U, (forall Y : zenon_U, (exists Z : zenon_U, (forall W : zenon_U, (((big_p X)/\(big_q Y))->((big_r Z)/\(big_s W)))))))->(exists X1 : zenon_U, (exists Y1 : zenon_U, (((big_p X1)/\(big_q Y1))->(exists Z1 : zenon_U, (big_r Z1)))))). % 0.21/0.53 Proof. % 0.21/0.53 apply NNPP. intro zenon_G. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H0. zenon_intro zenon_H7. % 0.21/0.53 generalize (zenon_H0 zenon_E). zenon_intro zenon_H8. % 0.21/0.53 generalize (zenon_H8 zenon_E). zenon_intro zenon_H9. % 0.21/0.53 elim zenon_H9. zenon_intro zenon_TZ_k. zenon_intro zenon_Hb. % 0.21/0.53 generalize (zenon_Hb zenon_E). zenon_intro zenon_Hc. % 0.21/0.53 apply (zenon_imply_s _ _ zenon_Hc); [ zenon_intro zenon_He | zenon_intro zenon_Hd ]. % 0.21/0.53 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_Hf ]. % 0.21/0.53 apply zenon_H7. exists zenon_E. apply NNPP. zenon_intro zenon_H11. % 0.21/0.53 apply zenon_H11. exists zenon_E. apply NNPP. zenon_intro zenon_H12. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.21/0.53 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.21/0.53 exact (zenon_H10 zenon_H16). % 0.21/0.53 apply zenon_H7. exists zenon_E. apply NNPP. zenon_intro zenon_H17. % 0.21/0.53 apply zenon_H17. exists zenon_E. apply NNPP. zenon_intro zenon_H18. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H19. zenon_intro zenon_H13. % 0.21/0.53 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.21/0.53 exact (zenon_Hf zenon_H1a). % 0.21/0.53 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.21/0.53 apply zenon_H7. exists zenon_E. apply NNPP. zenon_intro zenon_H17. % 0.21/0.53 apply zenon_H17. exists zenon_E. apply NNPP. zenon_intro zenon_H1e. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H1f. zenon_intro zenon_H13. % 0.21/0.53 apply zenon_H13. exists zenon_TZ_k. apply NNPP. zenon_intro zenon_H20. % 0.21/0.53 exact (zenon_H20 zenon_H1d). % 0.21/0.53 Qed. % 0.21/0.53 % SZS output end Proof % 0.21/0.53 (* END-PROOF *) % 0.21/0.53 nodes searched: 44 % 0.21/0.53 max branch formulas: 27 % 0.21/0.53 proof nodes created: 20 % 0.21/0.53 formulas created: 286 % 0.21/0.53 %------------------------------------------------------------------------------