%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWW473+1 : TPTP v9.0.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n014.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 : 300s % DateTime : Mon Apr 14 09:13:51 AM UTC 2025 % Result : Theorem 55.65s 55.81s % Output : Proof 55.65s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWW473+1 : TPTP v9.0.0. Released v5.3.0. % 0.14/0.14 % Command : run_zenon %s %d % 0.15/0.35 % Computer : n014.cluster.edu % 0.15/0.35 % Model : x86_64 x86_64 % 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.35 % Memory : 8042.1875MB % 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.35 % CPULimit : 300 % 0.15/0.35 % WCLimit : 300 % 0.15/0.35 % DateTime : Mon Apr 14 02:08:49 EDT 2025 % 0.15/0.35 % CPUTime : % 55.65/55.81 (* PROOF-FOUND *) % 55.65/55.81 % SZS status Theorem % 55.65/55.81 (* BEGIN-PROOF *) % 55.65/55.81 % SZS output start Proof % 55.65/55.81 Theorem conj_6 : (hBOOL (hAPP_fun_a_bool_bool (hAPP_f1631501043l_bool (ord_le1311769555a_bool) (insert_a (hAPP_pname_a (mgt_call) (pn)) (g))) (image_pname_a (mgt_call) (u)))). % 55.65/55.81 Proof. % 55.65/55.81 apply NNPP. intro zenon_G. % 55.65/55.81 generalize (fact_261_imageI (mgt_call)). zenon_intro zenon_H1b1. % 55.65/55.81 generalize (fact_274_insert__subset (hAPP_pname_a (mgt_call) (pn))). zenon_intro zenon_H1b2. % 55.65/55.81 generalize (zenon_H1b2 (g)). zenon_intro zenon_H1b3. % 55.65/55.81 generalize (zenon_H1b3 (image_pname_a (mgt_call) (u))). zenon_intro zenon_H1b4. % 55.65/55.81 apply (zenon_equiv_s _ _ zenon_H1b4); [ zenon_intro zenon_G; zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6; zenon_intro zenon_H1b5 ]. % 55.65/55.81 apply (zenon_notand_s _ _ zenon_H1b7); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1b8 ]. % 55.65/55.81 generalize (zenon_H1b1 (pn)). zenon_intro zenon_H1ba. % 55.65/55.81 generalize (zenon_H1ba (u)). zenon_intro zenon_H1bb. % 55.65/55.81 apply (zenon_imply_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 55.65/55.81 exact (zenon_H1bd conj_4). % 55.65/55.81 exact (zenon_H1b9 zenon_H1bc). % 55.65/55.81 exact (zenon_H1b8 conj_1). % 55.65/55.81 exact (zenon_G zenon_H1b6). % 55.65/55.81 Qed. % 55.65/55.81 % SZS output end Proof % 55.65/55.81 (* END-PROOF *) % 55.65/55.81 nodes searched: 780770 % 55.65/55.81 max branch formulas: 181831 % 55.65/55.81 proof nodes created: 6011 % 55.65/55.81 formulas created: 3494351 % 55.65/55.81 %------------------------------------------------------------------------------