TSTP Solution File: PUZ060+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------