%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n010.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 13:51:27 EDT 2022 % Result : Theorem 0.22s 0.55s % Output : Proof 0.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYN356+1 : TPTP v8.1.0. Released v2.0.0. % 0.08/0.15 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n010.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Tue Jul 12 03:04:00 EDT 2022 % 0.15/0.36 % CPUTime : % 0.22/0.55 (* PROOF-FOUND *) % 0.22/0.55 % SZS status Theorem % 0.22/0.55 (* BEGIN-PROOF *) % 0.22/0.55 % SZS output start Proof % 0.22/0.55 Theorem x2107 : (((big_r (a) (b))/\((forall X : zenon_U, (forall Y : zenon_U, ((big_r X Y)->((big_r Y X)/\(big_q X Y)))))/\(forall U : zenon_U, (forall V : zenon_U, ((big_q U V)->(big_q U U))))))->((big_q (a) (a))/\(big_q (b) (b)))). % 0.22/0.55 Proof. % 0.22/0.55 apply NNPP. intro zenon_G. % 0.22/0.55 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.22/0.55 apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.22/0.55 apply (zenon_notand_s _ _ zenon_H1); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.22/0.55 generalize (zenon_H6 (a)). zenon_intro zenon_H9. % 0.22/0.55 generalize (zenon_H9 (b)). zenon_intro zenon_Ha. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.22/0.55 exact (zenon_Hc zenon_H4). % 0.22/0.55 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.22/0.55 generalize (zenon_H5 (a)). zenon_intro zenon_Hf. % 0.22/0.55 generalize (zenon_Hf (b)). zenon_intro zenon_H10. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.22/0.55 exact (zenon_H12 zenon_Hd). % 0.22/0.55 exact (zenon_H8 zenon_H11). % 0.22/0.55 generalize (zenon_H6 (b)). zenon_intro zenon_H13. % 0.22/0.55 generalize (zenon_H13 (a)). zenon_intro zenon_H14. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ]. % 0.22/0.55 generalize (zenon_H6 (a)). zenon_intro zenon_H9. % 0.22/0.55 generalize (zenon_H9 (b)). zenon_intro zenon_Ha. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.22/0.55 exact (zenon_Hc zenon_H4). % 0.22/0.55 apply (zenon_and_s _ _ zenon_Hb). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.22/0.55 exact (zenon_H16 zenon_He). % 0.22/0.55 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H4. zenon_intro zenon_H17. % 0.22/0.55 generalize (zenon_H5 (b)). zenon_intro zenon_H18. % 0.22/0.55 generalize (zenon_H18 (a)). zenon_intro zenon_H19. % 0.22/0.55 apply (zenon_imply_s _ _ zenon_H19); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ]. % 0.22/0.55 exact (zenon_H1b zenon_H17). % 0.22/0.55 exact (zenon_H7 zenon_H1a). % 0.22/0.55 Qed. % 0.22/0.55 % SZS output end Proof % 0.22/0.55 (* END-PROOF *) % 0.22/0.55 nodes searched: 306 % 0.22/0.55 max branch formulas: 85 % 0.22/0.55 proof nodes created: 50 % 0.22/0.55 formulas created: 645 % 0.22/0.55 %------------------------------------------------------------------------------