%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN730+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 13:55:21 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 : SYN730+1 : TPTP v8.1.0. Released v2.5.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n007.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 17:11:18 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 thm75 : (exists V : zenon_U, (forall J : zenon_U, (exists Q : zenon_U, (((p (a) J (h J))\/(p V J (k J)))->(p V J Q))))). % 0.20/0.50 Proof. % 0.20/0.50 apply NNPP. intro zenon_G. % 0.20/0.50 apply zenon_G. exists (a). apply NNPP. zenon_intro zenon_H2. % 0.20/0.50 apply (zenon_notallex_s (fun J : zenon_U => (exists Q : zenon_U, (((p (a) J (h J))\/(p (a) J (k J)))->(p (a) J Q)))) zenon_H2); [ zenon_intro zenon_H3; idtac ]. % 0.20/0.50 elim zenon_H3. zenon_intro zenon_TJ_e. zenon_intro zenon_H5. % 0.20/0.50 apply zenon_H5. exists zenon_E. apply NNPP. zenon_intro zenon_H6. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_H6). zenon_intro zenon_H8. zenon_intro zenon_H7. % 0.20/0.50 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.20/0.50 apply zenon_H5. exists (h zenon_TJ_e). apply NNPP. zenon_intro zenon_Hb. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Hb). zenon_intro zenon_H8. zenon_intro zenon_Hc. % 0.20/0.50 exact (zenon_Hc zenon_Ha). % 0.20/0.50 apply zenon_H5. exists (k zenon_TJ_e). apply NNPP. zenon_intro zenon_Hd. % 0.20/0.50 apply (zenon_notimply_s _ _ zenon_Hd). zenon_intro zenon_H8. zenon_intro zenon_He. % 0.20/0.50 exact (zenon_He zenon_H9). % 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: 30 % 0.20/0.50 max branch formulas: 22 % 0.20/0.50 proof nodes created: 16 % 0.20/0.50 formulas created: 210 % 0.20/0.50 %------------------------------------------------------------------------------