%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN357+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 13:51:28 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN357+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n016.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 20:39:28 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem x2108 : (forall X : zenon_U, (exists Y : zenon_U, ((big_p X)->(big_p Y)))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notallex_s (fun X : zenon_U => (exists Y : zenon_U, ((big_p X)->(big_p Y)))) zenon_G); [ zenon_intro zenon_H2; idtac ]. % 0.19/0.49 elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H4. % 0.19/0.49 apply zenon_H4. exists zenon_E. apply NNPP. zenon_intro zenon_H5. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.19/0.49 apply zenon_H4. exists zenon_TX_d. apply NNPP. zenon_intro zenon_H8. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_H7. zenon_intro zenon_H9. % 0.19/0.49 exact (zenon_H9 zenon_H7). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 8 % 0.19/0.49 max branch formulas: 9 % 0.19/0.49 proof nodes created: 6 % 0.19/0.49 formulas created: 87 % 0.19/0.49 %------------------------------------------------------------------------------