%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 0.18s 0.47s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : PUZ061+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n028.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Sat May 28 21:36:47 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.47 (* PROOF-FOUND *) % 0.18/0.47 % SZS status Theorem % 0.18/0.47 (* BEGIN-PROOF *) % 0.18/0.47 % SZS output start Proof % 0.18/0.47 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, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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)))))))). % 0.18/0.47 Proof. % 0.18/0.47 apply NNPP. intro zenon_G. % 0.18/0.47 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, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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 ]. % 0.18/0.47 elim zenon_H1. zenon_intro zenon_TPeanuts_c. zenon_intro zenon_H3. % 0.18/0.47 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, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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 ]. % 0.18/0.47 elim zenon_H4. zenon_intro zenon_TJohn_f. zenon_intro zenon_H6. % 0.18/0.47 apply (zenon_notallex_s (fun Bill : zenon_U => (forall Sue : zenon_U, (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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 ]. % 0.18/0.47 elim zenon_H7. zenon_intro zenon_TBill_i. zenon_intro zenon_H9. % 0.18/0.47 apply (zenon_notallex_s (fun Sue : zenon_U => (forall Apples : zenon_U, (forall Chicken : zenon_U, (((forall X : zenon_U, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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 ]. % 0.18/0.47 elim zenon_Ha. zenon_intro zenon_TSue_l. zenon_intro zenon_Hc. % 0.18/0.47 apply (zenon_notallex_s (fun Apples : zenon_U => (forall Chicken : zenon_U, (((forall X : zenon_U, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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 ]. % 0.18/0.47 elim zenon_Hd. zenon_intro zenon_TApples_o. zenon_intro zenon_Hf. % 0.18/0.47 apply (zenon_notallex_s (fun Chicken : zenon_U => (((forall X : zenon_U, (forall Y : zenon_U, (((alive Y)/\(eats Y Chicken))->(likes Y X))))/\((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 ]. % 0.18/0.47 elim zenon_H10. zenon_intro zenon_TChicken_r. zenon_intro zenon_H12. % 0.18/0.47 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.18/0.47 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23. % 0.18/0.47 generalize (zenon_H1e zenon_TPeanuts_c). zenon_intro zenon_H25. % 0.18/0.47 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.18/0.47 generalize (zenon_H23 zenon_TBill_i). zenon_intro zenon_H28. % 0.18/0.47 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.18/0.47 exact (zenon_H2a zenon_H22). % 0.18/0.47 generalize (zenon_H29 zenon_TPeanuts_c). zenon_intro zenon_H2b. % 0.18/0.47 apply zenon_H27. exists zenon_TBill_i. apply NNPP. zenon_intro zenon_H2c. % 0.18/0.47 apply (zenon_notand_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.18/0.47 exact (zenon_H2e zenon_H20). % 0.18/0.47 exact (zenon_H2d zenon_H2b). % 0.18/0.47 generalize (zenon_H18 zenon_TPeanuts_c). zenon_intro zenon_H2f. % 0.18/0.47 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ]. % 0.18/0.47 exact (zenon_H31 zenon_H26). % 0.18/0.47 exact (zenon_H13 zenon_H30). % 0.18/0.47 Qed. % 0.18/0.47 % SZS output end Proof % 0.18/0.47 (* END-PROOF *) % 0.18/0.47 nodes searched: 108 % 0.18/0.47 max branch formulas: 92 % 0.18/0.47 proof nodes created: 33 % 0.18/0.47 formulas created: 558 % 0.18/0.47 %------------------------------------------------------------------------------