%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : GEO247+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 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 07:01:17 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+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n011.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 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Sat Jun 18 09:27:23 EDT 2022 % 0.13/0.34 % 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)/\((left_apart_point B (reverse_line L))/\((left_apart_point B (reverse_line M))/\((left_apart_point C L)/\((left_apart_point C (reverse_line M))/\((left_apart_point D (reverse_line 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)/\((left_apart_point B (reverse_line L))/\((left_apart_point B (reverse_line M))/\((left_apart_point C L)/\((left_apart_point C (reverse_line M))/\((left_apart_point D (reverse_line L))/\(left_apart_point D M))))))))->(convergent_lines L M)))))))) zenon_G); [ zenon_intro zenon_H20; idtac ]. % 0.19/0.53 elim zenon_H20. zenon_intro zenon_TA_bh. zenon_intro zenon_H22. % 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_bh L)/\((left_apart_point zenon_TA_bh M)/\((left_apart_point B (reverse_line L))/\((left_apart_point B (reverse_line M))/\((left_apart_point C L)/\((left_apart_point C (reverse_line M))/\((left_apart_point D (reverse_line L))/\(left_apart_point D M))))))))->(convergent_lines L M))))))) zenon_H22); [ zenon_intro zenon_H23; idtac ]. % 0.19/0.53 elim zenon_H23. zenon_intro zenon_TB_bk. zenon_intro zenon_H25. % 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_bh L)/\((left_apart_point zenon_TA_bh M)/\((left_apart_point zenon_TB_bk (reverse_line L))/\((left_apart_point zenon_TB_bk (reverse_line M))/\((left_apart_point C L)/\((left_apart_point C (reverse_line M))/\((left_apart_point D (reverse_line L))/\(left_apart_point D M))))))))->(convergent_lines L M)))))) zenon_H25); [ zenon_intro zenon_H26; idtac ]. % 0.19/0.53 elim zenon_H26. zenon_intro zenon_TC_bn. zenon_intro zenon_H28. % 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_bh L)/\((left_apart_point zenon_TA_bh M)/\((left_apart_point zenon_TB_bk (reverse_line L))/\((left_apart_point zenon_TB_bk (reverse_line M))/\((left_apart_point zenon_TC_bn L)/\((left_apart_point zenon_TC_bn (reverse_line M))/\((left_apart_point D (reverse_line L))/\(left_apart_point D M))))))))->(convergent_lines L M))))) zenon_H28); [ zenon_intro zenon_H29; idtac ]. % 0.19/0.53 elim zenon_H29. zenon_intro zenon_TD_bq. zenon_intro zenon_H2b. % 0.19/0.53 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((left_apart_point zenon_TA_bh L)/\((left_apart_point zenon_TA_bh M)/\((left_apart_point zenon_TB_bk (reverse_line L))/\((left_apart_point zenon_TB_bk (reverse_line M))/\((left_apart_point zenon_TC_bn L)/\((left_apart_point zenon_TC_bn (reverse_line M))/\((left_apart_point zenon_TD_bq (reverse_line L))/\(left_apart_point zenon_TD_bq M))))))))->(convergent_lines L M)))) zenon_H2b); [ zenon_intro zenon_H2c; idtac ]. % 0.19/0.53 elim zenon_H2c. zenon_intro zenon_TL_bt. zenon_intro zenon_H2e. % 0.19/0.53 apply (zenon_notallex_s (fun M : zenon_U => (((left_apart_point zenon_TA_bh zenon_TL_bt)/\((left_apart_point zenon_TA_bh M)/\((left_apart_point zenon_TB_bk (reverse_line zenon_TL_bt))/\((left_apart_point zenon_TB_bk (reverse_line M))/\((left_apart_point zenon_TC_bn zenon_TL_bt)/\((left_apart_point zenon_TC_bn (reverse_line M))/\((left_apart_point zenon_TD_bq (reverse_line zenon_TL_bt))/\(left_apart_point zenon_TD_bq M))))))))->(convergent_lines zenon_TL_bt M))) zenon_H2e); [ zenon_intro zenon_H2f; idtac ]. % 0.19/0.53 elim zenon_H2f. zenon_intro zenon_TM_bw. zenon_intro zenon_H31. % 0.19/0.53 apply (zenon_notimply_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.19/0.53 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.19/0.53 generalize (oag10 zenon_TA_bh). zenon_intro zenon_H38. % 0.19/0.53 generalize (zenon_H38 zenon_TM_bw). zenon_intro zenon_H39. % 0.19/0.53 apply (zenon_notor_s _ _ zenon_H39). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.19/0.53 exact (zenon_H3b zenon_H37). % 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: 521 % 0.19/0.53 max branch formulas: 437 % 0.19/0.53 proof nodes created: 34 % 0.19/0.53 formulas created: 3855 % 0.19/0.53 %------------------------------------------------------------------------------