%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO236+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 07:01:11 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO236+3 : TPTP v8.1.0. Released v4.0.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n026.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % 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 : Sat Jun 18 15:46:24 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem con : (forall A : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\(right_apart_point A M))->((unequally_directed_lines L M)\/(distinct_lines L M)))))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun A : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\(right_apart_point A M))->((unequally_directed_lines L M)\/(distinct_lines L M)))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.20/0.51 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.20/0.51 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\(right_apart_point zenon_TA_bm M))->((unequally_directed_lines L M)\/(distinct_lines L M))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.20/0.51 elim zenon_H28. zenon_intro zenon_TL_bp. zenon_intro zenon_H2a. % 0.20/0.51 apply (zenon_notallex_s (fun M : zenon_U => (((left_apart_point zenon_TA_bm zenon_TL_bp)/\(right_apart_point zenon_TA_bm M))->((unequally_directed_lines zenon_TL_bp M)\/(distinct_lines zenon_TL_bp M)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.20/0.51 elim zenon_H2b. zenon_intro zenon_TM_bs. zenon_intro zenon_H2d. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.20/0.51 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H32. % 0.20/0.51 generalize (zenon_H32 zenon_TL_bp). zenon_intro zenon_H33. % 0.20/0.51 apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.20/0.51 exact (zenon_H35 zenon_H31). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 419 % 0.20/0.51 max branch formulas: 371 % 0.20/0.51 proof nodes created: 28 % 0.20/0.51 formulas created: 2971 % 0.20/0.51 %------------------------------------------------------------------------------