%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.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 07:01:17 EDT 2022 % Result : Theorem 0.19s 0.53s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n003.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Fri Jun 17 20:25:42 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.53 (* PROOF-FOUND *) % 0.19/0.53 % SZS status Theorem % 0.19/0.53 (* BEGIN-PROOF *) % 0.19/0.53 % SZS output start Proof % 0.19/0.53 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\((left_apart_point A M)/\((right_apart_point B L)/\((right_apart_point B M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M)))))))). % 0.19/0.53 Proof. % 0.19/0.53 apply NNPP. intro zenon_G. % 0.19/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\((left_apart_point A M)/\((right_apart_point B L)/\((right_apart_point B M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M)))))))) zenon_G); [ zenon_intro zenon_H25; idtac ]. % 0.19/0.53 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27. % 0.19/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point B L)/\((right_apart_point B M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ]. % 0.19/0.53 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a. % 0.19/0.53 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp L)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M)))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ]. % 0.19/0.53 elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d. % 0.19/0.53 apply (zenon_notallex_s (fun D : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp L)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point zenon_TC_bs L)/\((right_apart_point zenon_TC_bs M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.19/0.53 elim zenon_H2e. zenon_intro zenon_TD_bv. zenon_intro zenon_H30. % 0.19/0.53 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp L)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point zenon_TC_bs L)/\((right_apart_point zenon_TC_bs M)/\((right_apart_point zenon_TD_bv L)/\(left_apart_point zenon_TD_bv M))))))))->(convergent_lines L M)))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.19/0.53 elim zenon_H31. zenon_intro zenon_TL_by. zenon_intro zenon_H33. % 0.19/0.53 apply (zenon_notallex_s (fun M : zenon_U => (((left_apart_point zenon_TA_bm zenon_TL_by)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp zenon_TL_by)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point zenon_TC_bs zenon_TL_by)/\((right_apart_point zenon_TC_bs M)/\((right_apart_point zenon_TD_bv zenon_TL_by)/\(left_apart_point zenon_TD_bv M))))))))->(convergent_lines zenon_TL_by M))) zenon_H33); [ zenon_intro zenon_H34; idtac ]. % 0.19/0.53 elim zenon_H34. zenon_intro zenon_TM_cb. zenon_intro zenon_H36. % 0.19/0.53 apply (zenon_notimply_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H44. zenon_intro zenon_H43. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H46. zenon_intro zenon_H45. % 0.19/0.53 generalize (ax10_basics zenon_TD_bv). zenon_intro zenon_H47. % 0.19/0.53 generalize (zenon_H47 zenon_TM_cb). zenon_intro zenon_H48. % 0.19/0.53 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 0.19/0.53 exact (zenon_H4a zenon_H45). % 0.19/0.53 Qed. % 0.19/0.53 % SZS output end Proof % 0.19/0.53 (* END-PROOF *) % 0.19/0.53 nodes searched: 651 % 0.19/0.53 max branch formulas: 517 % 0.19/0.53 proof nodes created: 42 % 0.19/0.53 formulas created: 4293 % 0.19/0.53 %------------------------------------------------------------------------------