%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n015.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 13:51:35 EDT 2022 % Result : Theorem 0.29s 2.20s % Output : Proof 0.29s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.83 % Problem : SYN370+1 : TPTP v8.1.0. Released v2.0.0. % 0.11/0.87 % Command : run_zenon %s %d % 0.15/1.26 % Computer : n015.cluster.edu % 0.15/1.26 % Model : x86_64 x86_64 % 0.15/1.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/1.26 % Memory : 8042.1875MB % 0.15/1.26 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/1.26 % CPULimit : 300 % 0.15/1.26 % WCLimit : 600 % 0.15/1.26 % DateTime : Mon Jul 11 18:29:10 EDT 2022 % 0.17/1.27 % CPUTime : % 0.29/2.20 (* PROOF-FOUND *) % 0.29/2.20 % SZS status Theorem % 0.29/2.20 (* BEGIN-PROOF *) % 0.29/2.20 % SZS output start Proof % 0.29/2.20 Theorem x2121 : (exists V : zenon_U, (forall Y : zenon_U, (exists Z : zenon_U, (((big_p (a) Y (h Y))\/(big_p V Y (f Y)))->(big_p V Y Z))))). % 0.29/2.20 Proof. % 0.29/2.20 apply NNPP. intro zenon_G. % 0.29/2.20 apply zenon_G. exists (a). apply NNPP. zenon_intro zenon_H2. % 0.29/2.20 apply (zenon_notallex_s (fun Y : zenon_U => (exists Z : zenon_U, (((big_p (a) Y (h Y))\/(big_p (a) Y (f Y)))->(big_p (a) Y Z)))) zenon_H2); [ zenon_intro zenon_H3; idtac ]. % 0.29/2.20 elim zenon_H3. zenon_intro zenon_TY_e. zenon_intro zenon_H5. % 0.29/2.20 apply zenon_H5. exists zenon_E. apply NNPP. zenon_intro zenon_H6. % 0.29/2.20 apply (zenon_notimply_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7. % 0.29/2.20 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.29/2.20 apply zenon_H5. exists (h zenon_TY_e). apply NNPP. zenon_intro zenon_Hb. % 0.29/2.20 apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_H8. zenon_intro zenon_Hc. % 0.29/2.20 exact (zenon_Hc zenon_Ha). % 0.29/2.20 apply zenon_H5. exists (f zenon_TY_e). apply NNPP. zenon_intro zenon_Hd. % 0.29/2.20 apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_H8. zenon_intro zenon_He. % 0.29/2.20 exact (zenon_He zenon_H9). % 0.29/2.20 Qed. % 0.29/2.20 % SZS output end Proof % 0.29/2.20 (* END-PROOF *) % 0.29/2.20 nodes searched: 30 % 0.29/2.20 max branch formulas: 22 % 0.29/2.20 proof nodes created: 16 % 0.29/2.20 formulas created: 210 % 0.29/2.20 %------------------------------------------------------------------------------