%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN372+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 13:51:36 EDT 2022 % Result : Theorem 0.20s 0.50s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SYN372+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 19:39:38 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.50 (* PROOF-FOUND *) % 0.20/0.50 % SZS status Theorem % 0.20/0.50 (* BEGIN-PROOF *) % 0.20/0.50 % SZS output start Proof % 0.20/0.50 Theorem x2123 : (forall X : zenon_U, ((exists Y : zenon_U, ((big_p Y)->(big_q X)))->(exists Y : zenon_U, ((big_p Y)->(big_q Y))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply (zenon_notallex_s (fun X : zenon_U => ((exists Y : zenon_U, ((big_p Y)->(big_q X)))->(exists Y : zenon_U, ((big_p Y)->(big_q Y))))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.20/0.50 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.20/0.50 elim zenon_H5. zenon_intro zenon_TY_g. zenon_intro zenon_H7. % 0.20/0.50 apply (zenon_imply_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.20/0.50 apply zenon_H4. exists zenon_TY_g. apply NNPP. zenon_intro zenon_Ha. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_Hc. zenon_intro zenon_Hb. % 0.20/0.50 exact (zenon_H9 zenon_Hc). % 0.20/0.50 apply zenon_H4. exists zenon_TX_c. apply NNPP. zenon_intro zenon_Hd. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.20/0.50 exact (zenon_He zenon_H8). % 0.20/0.50 Qed. % 0.20/0.50 % SZS output end Proof % 0.20/0.50 (* END-PROOF *) % 0.20/0.50 nodes searched: 17 % 0.20/0.50 max branch formulas: 14 % 0.20/0.50 proof nodes created: 10 % 0.20/0.50 formulas created: 113 % 0.20/0.50 %------------------------------------------------------------------------------