%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN981+1 : TPTP v8.1.0. Released v3.1.0. % 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 13:56:50 EDT 2022 % Result : Theorem 0.18s 0.48s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : SYN981+1 : TPTP v8.1.0. Released v3.1.0. % 0.00/0.12 % Command : run_zenon %s %d % 0.11/0.33 % Computer : n018.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 11 17:18:59 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.48 (* PROOF-FOUND *) % 0.18/0.48 % SZS status Theorem % 0.18/0.48 (* BEGIN-PROOF *) % 0.18/0.48 % SZS output start Proof % 0.18/0.48 Theorem prove_this : (((forall X : zenon_U, ((p X)->(q X)))/\(exists Y : zenon_U, ((q Y)->(r Y))))->(exists Z : zenon_U, ((p Z)->(r Z)))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.18/0.48 elim zenon_H3. zenon_intro zenon_TY_f. zenon_intro zenon_H6. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_H6); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.18/0.48 generalize (zenon_H4 zenon_TY_f). zenon_intro zenon_H9. % 0.18/0.48 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.18/0.48 apply zenon_H1. exists zenon_TY_f. apply NNPP. zenon_intro zenon_Hc. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.18/0.48 exact (zenon_Hb zenon_He). % 0.18/0.48 exact (zenon_H8 zenon_Ha). % 0.18/0.48 apply zenon_H1. exists zenon_TY_f. apply NNPP. zenon_intro zenon_Hc. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.18/0.48 exact (zenon_Hd zenon_H7). % 0.18/0.48 Qed. % 0.18/0.48 % SZS output end Proof % 0.18/0.48 (* END-PROOF *) % 0.18/0.48 nodes searched: 23 % 0.18/0.48 max branch formulas: 18 % 0.18/0.48 proof nodes created: 12 % 0.18/0.48 formulas created: 117 % 0.18/0.48 %------------------------------------------------------------------------------