%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 : Mon Jul 18 18:33:40 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PUZ060+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n021.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 : Sun May 29 00:55:42 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem prove_this : (forall Peanuts : zenon_U, (forall John : zenon_U, (forall Bill : zenon_U, (forall Sue : zenon_U, (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, ((food X)->(likes John X)))/\((food Apples)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats Bill Peanuts)/\((alive Bill)/\((forall X : zenon_U, ((eats Bill X)->(eats Sue X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes John Peanuts)))))))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun Peanuts : zenon_U => (forall John : zenon_U, (forall Bill : zenon_U, (forall Sue : zenon_U, (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, ((food X)->(likes John X)))/\((food Apples)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats Bill Peanuts)/\((alive Bill)/\((forall X : zenon_U, ((eats Bill X)->(eats Sue X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes John Peanuts)))))))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.19/0.50 elim zenon_H1. zenon_intro zenon_TPeanuts_c. zenon_intro zenon_H3. % 0.19/0.50 apply (zenon_notallex_s (fun John : zenon_U => (forall Bill : zenon_U, (forall Sue : zenon_U, (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, ((food X)->(likes John X)))/\((food Apples)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats Bill zenon_TPeanuts_c)/\((alive Bill)/\((forall X : zenon_U, ((eats Bill X)->(eats Sue X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes John zenon_TPeanuts_c))))))) zenon_H3); [ zenon_intro zenon_H4; idtac ]. % 0.19/0.50 elim zenon_H4. zenon_intro zenon_TJohn_f. zenon_intro zenon_H6. % 0.19/0.50 apply (zenon_notallex_s (fun Bill : zenon_U => (forall Sue : zenon_U, (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, ((food X)->(likes zenon_TJohn_f X)))/\((food Apples)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats Bill zenon_TPeanuts_c)/\((alive Bill)/\((forall X : zenon_U, ((eats Bill X)->(eats Sue X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes zenon_TJohn_f zenon_TPeanuts_c)))))) zenon_H6); [ zenon_intro zenon_H7; idtac ]. % 0.19/0.50 elim zenon_H7. zenon_intro zenon_TBill_i. zenon_intro zenon_H9. % 0.19/0.50 apply (zenon_notallex_s (fun Sue : zenon_U => (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, ((food X)->(likes zenon_TJohn_f X)))/\((food Apples)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats zenon_TBill_i zenon_TPeanuts_c)/\((alive zenon_TBill_i)/\((forall X : zenon_U, ((eats zenon_TBill_i X)->(eats Sue X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes zenon_TJohn_f zenon_TPeanuts_c))))) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.19/0.50 elim zenon_Ha. zenon_intro zenon_TSue_l. zenon_intro zenon_Hc. % 0.19/0.50 apply (zenon_notallex_s (fun Apples : zenon_U => (forall Chicken : zenon_U, (((forall X : zenon_U, ((food X)->(likes zenon_TJohn_f X)))/\((food Apples)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats zenon_TBill_i zenon_TPeanuts_c)/\((alive zenon_TBill_i)/\((forall X : zenon_U, ((eats zenon_TBill_i X)->(eats zenon_TSue_l X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes zenon_TJohn_f zenon_TPeanuts_c)))) zenon_Hc); [ zenon_intro zenon_Hd; idtac ]. % 0.19/0.50 elim zenon_Hd. zenon_intro zenon_TApples_o. zenon_intro zenon_Hf. % 0.19/0.50 apply (zenon_notallex_s (fun Chicken : zenon_U => (((forall X : zenon_U, ((food X)->(likes zenon_TJohn_f X)))/\((food zenon_TApples_o)/\((food Chicken)/\((forall X : zenon_U, ((exists Y : zenon_U, ((eats Y X)/\(not_killed_by Y X)))->(food X)))/\((eats zenon_TBill_i zenon_TPeanuts_c)/\((alive zenon_TBill_i)/\((forall X : zenon_U, ((eats zenon_TBill_i X)->(eats zenon_TSue_l X)))/\(forall Y : zenon_U, ((alive Y)->(forall X : zenon_U, (not_killed_by Y X)))))))))))->(likes zenon_TJohn_f zenon_TPeanuts_c))) zenon_Hf); [ zenon_intro zenon_H10; idtac ]. % 0.19/0.50 elim zenon_H10. zenon_intro zenon_TChicken_r. zenon_intro zenon_H12. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.19/0.50 generalize (zenon_H1c zenon_TPeanuts_c). zenon_intro zenon_H23. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ]. % 0.19/0.50 generalize (zenon_H21 zenon_TBill_i). zenon_intro zenon_H26. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.19/0.50 exact (zenon_H28 zenon_H20). % 0.19/0.50 generalize (zenon_H27 zenon_TPeanuts_c). zenon_intro zenon_H29. % 0.19/0.50 apply zenon_H25. exists zenon_TBill_i. apply NNPP. zenon_intro zenon_H2a. % 0.19/0.50 apply (zenon_notand_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.19/0.50 exact (zenon_H2c zenon_H1e). % 0.19/0.50 exact (zenon_H2b zenon_H29). % 0.19/0.50 generalize (zenon_H16 zenon_TPeanuts_c). zenon_intro zenon_H2d. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ]. % 0.19/0.50 exact (zenon_H2f zenon_H24). % 0.19/0.50 exact (zenon_H13 zenon_H2e). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 94 % 0.19/0.50 max branch formulas: 81 % 0.19/0.50 proof nodes created: 31 % 0.19/0.50 formulas created: 485 % 0.19/0.50 %------------------------------------------------------------------------------