%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 18:33:39 EDT 2022 % Result : Theorem 17.42s 17.60s % Output : Proof 17.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : PUZ047+1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n020.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 01:15:24 EDT 2022 % 0.13/0.34 % CPUTime : % 17.42/17.60 (* PROOF-FOUND *) % 17.42/17.60 % SZS status Theorem % 17.42/17.60 (* BEGIN-PROOF *) % 17.42/17.60 % SZS output start Proof % 17.42/17.60 Theorem thm100 : (((p (south) (south) (south) (south) (start))/\((forall T : zenon_U, ((p (south) (north) (south) (north) T)->(p (north) (north) (south) (north) (go_alone T))))/\((forall T1 : zenon_U, ((p (north) (north) (south) (north) T1)->(p (south) (north) (south) (north) (go_alone T1))))/\((forall T2 : zenon_U, ((p (south) (south) (north) (south) T2)->(p (north) (south) (north) (south) (go_alone T2))))/\((forall T3 : zenon_U, ((p (north) (south) (north) (south) T3)->(p (south) (south) (north) (south) (go_alone T3))))/\((forall T4 : zenon_U, ((p (south) (south) (south) (north) T4)->(p (north) (north) (south) (north) (take_wolf T4))))/\((forall T5 : zenon_U, ((p (north) (north) (south) (north) T5)->(p (south) (south) (south) (north) (take_wolf T5))))/\((forall T6 : zenon_U, ((p (south) (south) (north) (south) T6)->(p (north) (north) (north) (south) (take_wolf T6))))/\((forall T7 : zenon_U, ((p (north) (north) (north) (south) T7)->(p (south) (south) (north) (south) (take_wolf T7))))/\((forall X : zenon_U, (forall Y : zenon_U, (forall U : zenon_U, ((p (south) X (south) Y U)->(p (north) X (north) Y (take_goat U))))))/\((forall X1 : zenon_U, (forall Y1 : zenon_U, (forall V : zenon_U, ((p (north) X1 (north) Y1 V)->(p (south) X1 (south) Y1 (take_goat V))))))/\((forall T8 : zenon_U, ((p (south) (north) (south) (south) T8)->(p (north) (north) (south) (north) (take_cabbage T8))))/\((forall T9 : zenon_U, ((p (north) (north) (south) (north) T9)->(p (south) (north) (south) (south) (take_cabbage T9))))/\((forall U1 : zenon_U, ((p (south) (south) (north) (south) U1)->(p (north) (south) (north) (north) (take_cabbage U1))))/\(forall V1 : zenon_U, ((p (north) (south) (north) (north) V1)->(p (south) (south) (north) (south) (take_cabbage V1))))))))))))))))))->(exists Z : zenon_U, (p (north) (north) (north) (north) Z))). % 17.42/17.60 Proof. % 17.42/17.60 apply NNPP. intro zenon_G. % 17.42/17.60 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H6. zenon_intro zenon_H5. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H8. zenon_intro zenon_H7. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H7). zenon_intro zenon_Ha. zenon_intro zenon_H9. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H9). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 17.42/17.60 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd. % 17.42/17.60 apply (zenon_and_s _ _ zenon_Hd). zenon_intro zenon_H10. zenon_intro zenon_Hf. % 17.42/17.60 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H12. zenon_intro zenon_H11. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H11). zenon_intro zenon_H14. zenon_intro zenon_H13. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H1a. zenon_intro zenon_H19. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 17.42/17.60 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 17.42/17.60 generalize (zenon_H16 (north)). zenon_intro zenon_H1f. % 17.42/17.60 generalize (zenon_H1f (north)). zenon_intro zenon_H20. % 17.42/17.60 generalize (zenon_H18 (south)). zenon_intro zenon_H21. % 17.42/17.60 generalize (zenon_H21 (north)). zenon_intro zenon_H22. % 17.42/17.60 generalize (zenon_H16 (south)). zenon_intro zenon_H23. % 17.42/17.60 generalize (zenon_H23 (south)). zenon_intro zenon_H24. % 17.42/17.60 generalize (zenon_H24 (start)). zenon_intro zenon_H25. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 17.42/17.60 exact (zenon_H27 zenon_H4). % 17.42/17.60 generalize (zenon_Hc (take_goat (start))). zenon_intro zenon_H28. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 17.42/17.60 exact (zenon_H2a zenon_H26). % 17.42/17.60 generalize (zenon_H1e (go_alone (take_goat (start)))). zenon_intro zenon_H2b. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 17.42/17.60 exact (zenon_H2d zenon_H29). % 17.42/17.60 generalize (zenon_H22 (take_cabbage (go_alone (take_goat (start))))). zenon_intro zenon_H2e. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ]. % 17.42/17.60 exact (zenon_H30 zenon_H2c). % 17.42/17.60 generalize (zenon_He (take_goat (take_cabbage (go_alone (take_goat (start)))))). zenon_intro zenon_H31. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ]. % 17.42/17.60 exact (zenon_H33 zenon_H2f). % 17.42/17.60 generalize (zenon_H8 (take_wolf (take_goat (take_cabbage (go_alone (take_goat (start))))))). zenon_intro zenon_H34. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 17.42/17.60 exact (zenon_H36 zenon_H32). % 17.42/17.60 generalize (zenon_H20 (go_alone (take_wolf (take_goat (take_cabbage (go_alone (take_goat (start)))))))). zenon_intro zenon_H37. % 17.42/17.60 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 17.42/17.60 exact (zenon_H39 zenon_H35). % 17.42/17.60 apply zenon_H1. exists (take_goat (go_alone (take_wolf (take_goat (take_cabbage (go_alone (take_goat (start)))))))). apply NNPP. zenon_intro zenon_H3a. % 17.42/17.60 exact (zenon_H3a zenon_H38). % 17.42/17.60 Qed. % 17.42/17.60 % SZS output end Proof % 17.42/17.60 (* END-PROOF *) % 17.42/17.60 nodes searched: 396670 % 17.42/17.60 max branch formulas: 12799 % 17.42/17.60 proof nodes created: 1240 % 17.42/17.60 formulas created: 1566904 % 17.42/17.60 %------------------------------------------------------------------------------