%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN727+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n008.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 13:55:19 EDT 2022 % Result : Theorem 0.21s 0.53s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN727+1 : TPTP v8.1.0. Released v2.5.0. % 0.14/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n008.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Tue Jul 12 00:22:08 EDT 2022 % 0.20/0.36 % CPUTime : % 0.21/0.53 (* PROOF-FOUND *) % 0.21/0.53 % SZS status Theorem % 0.21/0.53 (* BEGIN-PROOF *) % 0.21/0.53 % SZS output start Proof % 0.21/0.53 Theorem thm68 : (((forall X : zenon_U, (likes X (bruce)))/\(forall Y : zenon_U, ((exists Z : zenon_U, (likes Y Z))->(likes (lyle) Y))))->(exists U : zenon_U, (forall V : zenon_U, (likes U V)))). % 0.21/0.53 Proof. % 0.21/0.53 apply NNPP. intro zenon_G. % 0.21/0.53 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.21/0.53 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.21/0.53 apply zenon_H1. exists (lyle). apply NNPP. zenon_intro zenon_H5. % 0.21/0.53 apply (zenon_notallex_s (fun V : zenon_U => (likes (lyle) V)) zenon_H5); [ zenon_intro zenon_H6; idtac ]. % 0.21/0.53 elim zenon_H6. zenon_intro zenon_TV_h. zenon_intro zenon_H8. % 0.21/0.53 generalize (zenon_H3 zenon_TV_h). zenon_intro zenon_H9. % 0.21/0.53 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.21/0.53 apply zenon_Hb. exists (bruce). apply NNPP. zenon_intro zenon_Hc. % 0.21/0.53 generalize (zenon_H4 zenon_TV_h). zenon_intro zenon_Hd. % 0.21/0.53 exact (zenon_Hc zenon_Hd). % 0.21/0.53 exact (zenon_H8 zenon_Ha). % 0.21/0.53 Qed. % 0.21/0.53 % SZS output end Proof % 0.21/0.53 (* END-PROOF *) % 0.21/0.53 nodes searched: 57 % 0.21/0.53 max branch formulas: 29 % 0.21/0.53 proof nodes created: 16 % 0.21/0.53 formulas created: 289 % 0.21/0.53 %------------------------------------------------------------------------------