%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO267+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 : Sat Jul 16 07:01:27 EDT 2022 % Result : Theorem 0.39s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : GEO267+3 : TPTP v8.1.0. Released v4.0.0. % 0.04/0.14 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n011.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Sat Jun 18 08:57:08 EDT 2022 % 0.14/0.36 % CPUTime : % 0.39/0.55 (* PROOF-FOUND *) % 0.39/0.55 % SZS status Theorem % 0.39/0.55 (* BEGIN-PROOF *) % 0.39/0.55 % SZS output start Proof % 0.39/0.55 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, ((unequally_directed_opposite_lines L M)->((unequally_directed_opposite_lines M N)\/(unequally_directed_lines M N)))))). % 0.39/0.55 Proof. % 0.39/0.55 apply NNPP. intro zenon_G. % 0.39/0.55 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, ((unequally_directed_opposite_lines L M)->((unequally_directed_opposite_lines M N)\/(unequally_directed_lines M N)))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.39/0.55 elim zenon_H25. zenon_intro zenon_TL_bm. zenon_intro zenon_H27. % 0.39/0.55 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, ((unequally_directed_opposite_lines zenon_TL_bm M)->((unequally_directed_opposite_lines M N)\/(unequally_directed_lines M N))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.39/0.55 elim zenon_H28. zenon_intro zenon_TM_bp. zenon_intro zenon_H2a. % 0.39/0.55 apply (zenon_notallex_s (fun N : zenon_U => ((unequally_directed_opposite_lines zenon_TL_bm zenon_TM_bp)->((unequally_directed_opposite_lines zenon_TM_bp N)\/(unequally_directed_lines zenon_TM_bp N)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.39/0.55 elim zenon_H2b. zenon_intro zenon_TN_bs. zenon_intro zenon_H2d. % 0.39/0.55 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.39/0.55 apply (zenon_notor_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.39/0.55 generalize (a1_defns zenon_TM_bp). zenon_intro zenon_H32. % 0.39/0.55 generalize (zenon_H32 zenon_TN_bs). zenon_intro zenon_H33. % 0.39/0.55 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H31; zenon_intro zenon_H36 | zenon_intro zenon_H35; zenon_intro zenon_H34 ]. % 0.39/0.55 generalize (ax8_basics zenon_TM_bp). zenon_intro zenon_H37. % 0.39/0.55 generalize (zenon_H37 zenon_TN_bs). zenon_intro zenon_H38. % 0.39/0.55 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H39 | zenon_intro zenon_H34 ]. % 0.39/0.55 exact (zenon_H30 zenon_H39). % 0.39/0.55 exact (zenon_H36 zenon_H34). % 0.39/0.55 exact (zenon_H31 zenon_H35). % 0.39/0.55 Qed. % 0.39/0.55 % SZS output end Proof % 0.39/0.55 (* END-PROOF *) % 0.39/0.55 nodes searched: 216 % 0.39/0.55 max branch formulas: 237 % 0.39/0.55 proof nodes created: 16 % 0.39/0.55 formulas created: 2010 % 0.39/0.55 %------------------------------------------------------------------------------