%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN079+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 13:49:29 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN079+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n018.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 13:45:58 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem pel57 : (big_f (f (a) (b)) (f (a) (c))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((big_f x y)->((big_f y z)->(big_f x z))))))); [ zenon_intro zenon_H4 | zenon_intro zenon_H5 ]. % 0.19/0.49 generalize (zenon_H4 (f (a) (b))). zenon_intro zenon_H6. % 0.19/0.49 generalize (zenon_H6 (f (b) (c))). zenon_intro zenon_H7. % 0.19/0.49 generalize (zenon_H7 (f (a) (c))). zenon_intro zenon_H8. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.19/0.49 exact (zenon_Ha pel57_1). % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.19/0.49 exact (zenon_Hc pel57_2). % 0.19/0.49 exact (zenon_G zenon_Hb). % 0.19/0.49 apply zenon_H5. zenon_intro zenon_Tx_n. apply NNPP. zenon_intro zenon_He. % 0.19/0.49 apply zenon_He. zenon_intro zenon_Ty_p. apply NNPP. zenon_intro zenon_H10. % 0.19/0.49 apply zenon_H10. zenon_intro zenon_Tz_r. apply NNPP. zenon_intro zenon_H12. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H12). zenon_intro zenon_H14. zenon_intro zenon_H13. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H13). zenon_intro zenon_H16. zenon_intro zenon_H15. % 0.19/0.49 generalize (pel57_3 zenon_Tx_n). zenon_intro zenon_H17. % 0.19/0.49 generalize (zenon_H17 zenon_Ty_p). zenon_intro zenon_H18. % 0.19/0.49 generalize (zenon_H18 zenon_Tz_r). zenon_intro zenon_H19. % 0.19/0.49 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.19/0.49 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ]. % 0.19/0.49 exact (zenon_H1d zenon_H14). % 0.19/0.49 exact (zenon_H1c zenon_H16). % 0.19/0.49 exact (zenon_H15 zenon_H1a). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 6 % 0.19/0.49 max branch formulas: 7 % 0.19/0.49 proof nodes created: 4 % 0.19/0.49 formulas created: 198 % 0.19/0.49 %------------------------------------------------------------------------------