%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN961+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 13:56:42 EDT 2022 % Result : Theorem 0.18s 0.47s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SYN961+1 : TPTP v8.1.0. Released v3.1.0. % 0.06/0.11 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n017.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Tue Jul 12 06:16:49 EDT 2022 % 0.11/0.33 % CPUTime : % 0.18/0.47 (* PROOF-FOUND *) % 0.18/0.47 % SZS status Theorem % 0.18/0.47 (* BEGIN-PROOF *) % 0.18/0.47 % SZS output start Proof % 0.18/0.47 Theorem prove_this : (forall A : zenon_U, (forall B : zenon_U, ((forall X : zenon_U, (p X))->((p A)/\(p B))))). % 0.18/0.47 Proof. % 0.18/0.47 apply NNPP. intro zenon_G. % 0.18/0.47 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, ((forall X : zenon_U, (p X))->((p A)/\(p B))))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.18/0.47 elim zenon_H1. zenon_intro zenon_TA_c. zenon_intro zenon_H3. % 0.18/0.47 apply (zenon_notallex_s (fun B : zenon_U => ((forall X : zenon_U, (p X))->((p zenon_TA_c)/\(p B)))) zenon_H3); [ zenon_intro zenon_H4; idtac ]. % 0.18/0.47 elim zenon_H4. zenon_intro zenon_TB_f. zenon_intro zenon_H6. % 0.18/0.47 apply (zenon_notimply_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7. % 0.18/0.47 apply (zenon_notand_s _ _ zenon_H7); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.18/0.47 generalize (zenon_H8 zenon_TA_c). zenon_intro zenon_Hb. % 0.18/0.47 exact (zenon_Ha zenon_Hb). % 0.18/0.47 generalize (zenon_H8 zenon_TB_f). zenon_intro zenon_Hc. % 0.18/0.47 exact (zenon_H9 zenon_Hc). % 0.18/0.47 Qed. % 0.18/0.47 % SZS output end Proof % 0.18/0.47 (* END-PROOF *) % 0.18/0.47 nodes searched: 14 % 0.18/0.47 max branch formulas: 11 % 0.18/0.47 proof nodes created: 8 % 0.18/0.47 formulas created: 100 % 0.18/0.47 %------------------------------------------------------------------------------