%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN969+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n017.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 13:56:45 EDT 2022 % Result : Theorem 0.19s 0.50s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN969+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n017.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Mon Jul 11 12:12:33 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.50 (* PROOF-FOUND *) % 0.19/0.50 % SZS status Theorem % 0.19/0.50 (* BEGIN-PROOF *) % 0.19/0.50 % SZS output start Proof % 0.19/0.50 Theorem prove_this : (forall B : zenon_U, (((forall X : zenon_U, ((p X)->(q X)))/\(r B))->((forall Y : zenon_U, ((r Y)->(p Y)))->(q B)))). % 0.19/0.50 Proof. % 0.19/0.50 apply NNPP. intro zenon_G. % 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (((forall X : zenon_U, ((p X)->(q X)))/\(r B))->((forall Y : zenon_U, ((r Y)->(p Y)))->(q B)))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.19/0.50 elim zenon_H1. zenon_intro zenon_TB_c. zenon_intro zenon_H3. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.19/0.50 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.19/0.50 generalize (zenon_H9 zenon_TB_c). zenon_intro zenon_Ha. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.19/0.50 generalize (zenon_H7 zenon_TB_c). zenon_intro zenon_Hd. % 0.19/0.50 apply (zenon_imply_s _ _ zenon_Hd); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.19/0.50 exact (zenon_Hf zenon_H8). % 0.19/0.50 exact (zenon_Hc zenon_He). % 0.19/0.50 exact (zenon_H6 zenon_Hb). % 0.19/0.50 Qed. % 0.19/0.50 % SZS output end Proof % 0.19/0.50 (* END-PROOF *) % 0.19/0.50 nodes searched: 16 % 0.19/0.50 max branch formulas: 17 % 0.19/0.50 proof nodes created: 9 % 0.19/0.50 formulas created: 114 % 0.19/0.50 %------------------------------------------------------------------------------