%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n008.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 06:31:25 EDT 2022 % Result : Theorem 0.18s 0.46s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n008.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 : Sat Jun 18 13:41:37 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.46 % SZS status Theorem % 0.18/0.46 (* PROOF-FOUND *) % 0.18/0.46 (* BEGIN-PROOF *) % 0.18/0.46 % SZS output start Proof % 0.18/0.46 1. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0)) ### Axiom % 0.18/0.46 2. (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0))) (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) ### Axiom % 0.18/0.46 3. (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines T_0 (reverse_line T_0)) ### Axiom % 0.18/0.46 4. ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) \/ (unequally_directed_lines T_0 (reverse_line T_0)))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### DisjTree 1 2 3 % 0.18/0.46 5. (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) ### All 4 % 0.18/0.46 6. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0)) ### Axiom % 0.18/0.46 7. (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0))) ### Axiom % 0.18/0.46 8. (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line (reverse_line T_0))) ### Extension/test/oag5 % 0.18/0.46 9. ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line (reverse_line T_0)))) ### And 8 % 0.18/0.46 10. (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines T_0 (reverse_line T_0)) ### Axiom % 0.18/0.46 11. ((unequally_directed_lines T_0 (reverse_line T_0)) /\ (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) ### And 10 % 0.18/0.46 12. (((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line (reverse_line T_0)))) \/ ((unequally_directed_lines T_0 (reverse_line T_0)) /\ (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### DisjTree 6 7 9 11 % 0.18/0.46 13. (All N, (((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line (reverse_line T_0)) N) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line N))) \/ ((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N)))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) (-. (unequally_directed_lines T_0 (reverse_line T_0))) ### All 12 % 0.18/0.46 14. (All M, (All N, (((unequally_directed_lines (reverse_line (reverse_line T_0)) M) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line M))) => (((unequally_directed_lines (reverse_line (reverse_line T_0)) N) /\ (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N))))))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### All 13 % 0.18/0.46 15. (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) (-. (unequally_directed_lines T_0 (reverse_line T_0))) ### All 14 % 0.18/0.46 16. (unequally_directed_lines (reverse_line T_0) (reverse_line T_0)) ### Extension/test/oag5 % 0.18/0.46 17. ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) \/ (unequally_directed_lines (reverse_line T_0) (reverse_line T_0)))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) ### DisjTree 5 15 16 % 0.18/0.46 18. (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (-. (unequally_directed_lines T_0 (reverse_line T_0))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) ### All 17 % 0.18/0.46 19. (unequally_directed_lines T_0 T_0) ### Extension/test/oag5 % 0.18/0.46 20. (-. (unequally_directed_lines (reverse_line T_0) T_0)) (unequally_directed_lines (reverse_line T_0) T_0) ### Axiom % 0.18/0.46 21. ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 T_0) \/ (unequally_directed_lines (reverse_line T_0) T_0))) (-. (unequally_directed_lines (reverse_line T_0) T_0)) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) ### DisjTree 18 19 20 % 0.18/0.46 22. (All N, ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (-. (unequally_directed_lines (reverse_line T_0) T_0)) ### All 21 % 0.18/0.47 23. (unequally_directed_lines (reverse_line T_0) T_0) (-. (unequally_directed_lines (reverse_line T_0) T_0)) ### Axiom % 0.18/0.47 24. (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines T_0 (reverse_line T_0)) ### Axiom % 0.18/0.47 25. ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) (reverse_line T_0)) \/ (unequally_directed_lines T_0 (reverse_line T_0)))) (-. (unequally_directed_lines T_0 (reverse_line T_0))) (unequally_directed_lines (reverse_line T_0) T_0) ### DisjTree 23 16 24 % 0.18/0.47 26. (All N, ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line T_0) T_0) (-. (unequally_directed_lines T_0 (reverse_line T_0))) ### All 25 % 0.18/0.47 27. (unequally_directed_lines T_0 (reverse_line T_0)) (-. (unequally_directed_lines T_0 (reverse_line T_0))) ### Axiom % 0.18/0.47 28. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0)) ### Axiom % 0.18/0.47 29. (-. (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))) (unequally_directed_lines T_0 (reverse_line (reverse_line T_0))) ### Axiom % 0.18/0.47 30. ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line (reverse_line T_0))) \/ (unequally_directed_lines T_0 (reverse_line (reverse_line T_0))))) (-. (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### DisjTree 28 8 29 % 0.18/0.47 31. (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (-. (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))) ### All 30 % 0.18/0.47 32. ((unequally_directed_lines T_0 T_0) /\ (unequally_directed_lines T_0 (reverse_line T_0))) ### And 19 % 0.18/0.47 33. ((unequally_directed_lines (reverse_line T_0) T_0) /\ (unequally_directed_lines (reverse_line T_0) (reverse_line T_0))) ### And 16 % 0.18/0.47 34. (((unequally_directed_lines T_0 (reverse_line T_0)) /\ (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))) => (((unequally_directed_lines T_0 T_0) /\ (unequally_directed_lines T_0 (reverse_line T_0))) \/ ((unequally_directed_lines (reverse_line T_0) T_0) /\ (unequally_directed_lines (reverse_line T_0) (reverse_line T_0))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines T_0 (reverse_line T_0)) ### DisjTree 27 31 32 33 % 0.18/0.47 35. (All N, (((unequally_directed_lines T_0 (reverse_line T_0)) /\ (unequally_directed_lines T_0 (reverse_line (reverse_line T_0)))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines (reverse_line T_0) N) /\ (unequally_directed_lines (reverse_line T_0) (reverse_line N)))))) (unequally_directed_lines T_0 (reverse_line T_0)) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### All 34 % 0.18/0.47 36. (All M, (All N, (((unequally_directed_lines T_0 M) /\ (unequally_directed_lines T_0 (reverse_line M))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines T_0 (reverse_line T_0)) ### All 35 % 0.18/0.47 37. (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines T_0 (reverse_line T_0)) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### All 36 % 0.18/0.47 38. ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 (reverse_line T_0)) \/ (unequally_directed_lines (reverse_line T_0) (reverse_line T_0)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line T_0) T_0) (All N, ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) N) \/ (unequally_directed_lines T_0 N)))) ### DisjTree 26 37 16 % 0.18/0.47 39. (All N, ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line T_0) T_0) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) ### All 38 % 0.18/0.47 40. ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) T_0) \/ (unequally_directed_lines T_0 T_0))) (All N, ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) N) \/ (unequally_directed_lines T_0 N)))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_0) N)))) ### DisjTree 22 39 19 % 0.18/0.47 41. (All N, ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (All N, ((unequally_directed_lines (reverse_line T_0) T_0) => ((unequally_directed_lines (reverse_line T_0) N) \/ (unequally_directed_lines T_0 N)))) ### All 40 % 0.18/0.47 42. (All M, (All N, ((unequally_directed_lines (reverse_line T_0) M) => ((unequally_directed_lines (reverse_line T_0) N) \/ (unequally_directed_lines M N))))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_0) N)))) ### All 41 % 0.18/0.47 43. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (All N, ((unequally_directed_lines T_0 (reverse_line T_0)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) ### All 42 % 0.18/0.47 44. (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### All 43 % 0.18/0.47 45. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) (reverse_line T_0)) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines (reverse_line T_0) N)))) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) ### All 44 % 0.18/0.47 46. (All M, (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) M) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines M N))))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines T_0 N)))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### All 45 % 0.18/0.47 47. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (All M, (All N, ((unequally_directed_lines (reverse_line (reverse_line T_0)) M) => ((unequally_directed_lines (reverse_line (reverse_line T_0)) N) \/ (unequally_directed_lines M N))))) ### All 46 % 0.18/0.47 48. (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### All 47 % 0.18/0.47 49. (-. (-. (unequally_directed_lines (reverse_line (reverse_line T_0)) T_0))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) ### NotNot 48 % 0.18/0.47 50. (-. (All L, (-. (unequally_directed_lines (reverse_line (reverse_line L)) L)))) (All L, (All M, (All N, (((unequally_directed_lines L M) /\ (unequally_directed_lines L (reverse_line M))) => (((unequally_directed_lines L N) /\ (unequally_directed_lines L (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N)))))))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### NotAllEx 49 % 0.18/0.47 % SZS output end Proof % 0.18/0.47 (* END-PROOF *) %------------------------------------------------------------------------------