TSTP Solution File: GEO231+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : GEO231+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 : n015.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 06:31:24 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 : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n015.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 01:45:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 1. (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 (reverse_line T_1))) ### Axiom
% 0.20/0.51 2. (-. (unequally_directed_lines T_0 T_2)) (unequally_directed_lines T_0 T_2) ### Axiom
% 0.20/0.51 3. (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 (reverse_line T_1))) ### Axiom
% 0.20/0.51 4. (unequally_directed_lines T_0 T_0) ### Extension/test/oag5
% 0.20/0.51 5. (unequally_directed_lines (reverse_line T_1) T_0) (-. (unequally_directed_lines (reverse_line T_1) T_0)) ### Axiom
% 0.20/0.51 6. (unequally_directed_lines (reverse_line T_1) T_2) (-. (unequally_directed_lines (reverse_line T_1) T_2)) ### Axiom
% 0.20/0.51 7. (-. (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) (unequally_directed_lines (reverse_line T_1) (reverse_line T_0)) ### Axiom
% 0.20/0.51 8. (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines T_2 (reverse_line T_0)) ### Axiom
% 0.20/0.51 9. ((unequally_directed_lines (reverse_line T_1) T_2) => ((unequally_directed_lines (reverse_line T_1) (reverse_line T_0)) \/ (unequally_directed_lines T_2 (reverse_line T_0)))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) (unequally_directed_lines (reverse_line T_1) T_2) ### DisjTree 6 7 8
% 0.20/0.51 10. (All N, ((unequally_directed_lines (reverse_line T_1) T_2) => ((unequally_directed_lines (reverse_line T_1) N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines (reverse_line T_1) T_2) (-. (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) ### All 9
% 0.20/0.51 11. (unequally_directed_lines (reverse_line T_1) T_0) (-. (unequally_directed_lines (reverse_line T_1) T_0)) ### Axiom
% 0.20/0.51 12. (unequally_directed_lines (reverse_line T_1) (reverse_line T_0)) (-. (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) ### Axiom
% 0.20/0.51 13. (unequally_directed_lines (reverse_line T_1) (reverse_line T_1)) ### Extension/test/oag5
% 0.20/0.51 14. ((unequally_directed_lines (reverse_line T_1) T_1) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_1))) ### And 13
% 0.20/0.51 15. (-. (unequally_directed_lines T_0 T_1)) (unequally_directed_lines T_0 T_1) ### Axiom
% 0.20/0.51 16. ((unequally_directed_lines T_0 T_1) /\ (unequally_directed_lines T_0 (reverse_line T_1))) (-. (unequally_directed_lines T_0 T_1)) ### And 15
% 0.20/0.51 17. (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line T_1) T_1) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_1))) \/ ((unequally_directed_lines T_0 T_1) /\ (unequally_directed_lines T_0 (reverse_line T_1))))) (-. (unequally_directed_lines T_0 T_1)) (unequally_directed_lines (reverse_line T_1) (reverse_line T_0)) (unequally_directed_lines (reverse_line T_1) T_0) ### DisjTree 11 12 14 16
% 0.20/0.51 18. (All N, (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line T_1) N) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line N))) \/ ((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N)))))) (unequally_directed_lines (reverse_line T_1) T_0) (unequally_directed_lines (reverse_line T_1) (reverse_line T_0)) (-. (unequally_directed_lines T_0 T_1)) ### All 17
% 0.20/0.51 19. ((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) (unequally_directed_lines (reverse_line T_1) T_0) (All N, (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line T_1) N) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line N))) \/ ((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N)))))) ### And 18
% 0.20/0.51 20. ((unequally_directed_lines T_0 T_0) /\ (unequally_directed_lines T_0 (reverse_line T_0))) ### And 4
% 0.20/0.51 21. (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) \/ ((unequally_directed_lines T_0 T_0) /\ (unequally_directed_lines T_0 (reverse_line T_0))))) (All N, (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line T_1) N) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line N))) \/ ((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N)))))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines (reverse_line T_1) T_2) (All N, ((unequally_directed_lines (reverse_line T_1) T_2) => ((unequally_directed_lines (reverse_line T_1) N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines (reverse_line T_1) T_0) ### DisjTree 5 10 19 20
% 0.20/0.51 22. (unequally_directed_lines (reverse_line T_1) T_0) (All N, ((unequally_directed_lines (reverse_line T_1) T_2) => ((unequally_directed_lines (reverse_line T_1) N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines (reverse_line T_1) T_2) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) (All N, (((unequally_directed_lines (reverse_line T_1) T_0) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line T_0))) => (((unequally_directed_lines (reverse_line T_1) N) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line N))) \/ ((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N)))))) ### All 21
% 0.20/0.51 23. (All M, (All N, (((unequally_directed_lines (reverse_line T_1) M) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line M))) => (((unequally_directed_lines (reverse_line T_1) N) /\ (unequally_directed_lines (reverse_line T_1) (reverse_line N))) \/ ((unequally_directed_lines M N) /\ (unequally_directed_lines M (reverse_line N))))))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines (reverse_line T_1) T_2) (All N, ((unequally_directed_lines (reverse_line T_1) T_2) => ((unequally_directed_lines (reverse_line T_1) N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines (reverse_line T_1) T_0) ### All 22
% 0.20/0.51 24. (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_1) T_0) (All N, ((unequally_directed_lines (reverse_line T_1) T_2) => ((unequally_directed_lines (reverse_line T_1) N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines (reverse_line T_1) T_2) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) ### All 23
% 0.20/0.51 25. (All M, (All N, ((unequally_directed_lines (reverse_line T_1) M) => ((unequally_directed_lines (reverse_line T_1) N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines (reverse_line T_1) T_2) (unequally_directed_lines (reverse_line T_1) 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 24
% 0.20/0.51 26. (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)))))))) (unequally_directed_lines (reverse_line T_1) T_0) (unequally_directed_lines (reverse_line T_1) T_2) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) ### All 25
% 0.20/0.52 27. ((unequally_directed_lines T_0 (reverse_line T_1)) => ((unequally_directed_lines T_0 T_0) \/ (unequally_directed_lines (reverse_line T_1) T_0))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines (reverse_line T_1) T_2) (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)))))) (unequally_directed_lines T_0 (reverse_line T_1)) ### DisjTree 3 4 26
% 0.20/0.52 28. (All N, ((unequally_directed_lines T_0 (reverse_line T_1)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_1) N)))) (unequally_directed_lines T_0 (reverse_line T_1)) (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)))))))) (unequally_directed_lines (reverse_line T_1) T_2) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) ### All 27
% 0.20/0.52 29. ((unequally_directed_lines T_0 (reverse_line T_1)) => ((unequally_directed_lines T_0 T_2) \/ (unequally_directed_lines (reverse_line T_1) T_2))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (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 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_1)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_1) N)))) (-. (unequally_directed_lines T_0 T_2)) (unequally_directed_lines T_0 (reverse_line T_1)) ### DisjTree 1 2 28
% 0.20/0.52 30. (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 T_2)) (All N, ((unequally_directed_lines T_0 (reverse_line T_1)) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines (reverse_line T_1) N)))) (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)))))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) ### All 29
% 0.20/0.52 31. (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (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 L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (-. (unequally_directed_lines T_0 T_2)) (unequally_directed_lines T_0 (reverse_line T_1)) ### All 30
% 0.20/0.52 32. (unequally_directed_lines T_0 T_2) (-. (unequally_directed_lines T_0 T_2)) ### Axiom
% 0.20/0.52 33. (-. (unequally_directed_lines T_0 T_1)) (unequally_directed_lines T_0 T_1) ### Axiom
% 0.20/0.52 34. (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_2 T_1) ### Axiom
% 0.20/0.52 35. ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 T_1) \/ (unequally_directed_lines T_2 T_1))) (-. (unequally_directed_lines T_2 T_1)) (-. (unequally_directed_lines T_0 T_1)) (unequally_directed_lines T_0 T_2) ### DisjTree 32 33 34
% 0.20/0.52 36. (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_0 T_2) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 T_1)) ### All 35
% 0.20/0.52 37. (unequally_directed_lines T_2 T_2) ### Extension/test/oag5
% 0.20/0.52 38. ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 T_2) \/ (unequally_directed_lines T_2 T_2))) (-. (unequally_directed_lines T_2 T_1)) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_0 (reverse_line T_1)) (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)))))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_0 T_1)) (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) ### DisjTree 31 36 37
% 0.20/0.52 39. (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_0 T_1)) (-. (unequally_directed_lines T_2 (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 L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (unequally_directed_lines T_0 (reverse_line T_1)) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (-. (unequally_directed_lines T_2 T_1)) ### All 38
% 0.20/0.52 40. (unequally_directed_lines T_1 T_0) (-. (unequally_directed_lines T_1 T_0)) ### Axiom
% 0.20/0.52 41. (unequally_directed_lines T_1 T_2) (-. (unequally_directed_lines T_1 T_2)) ### Axiom
% 0.20/0.52 42. (unequally_directed_lines T_1 T_1) ### Extension/test/oag5
% 0.20/0.52 43. (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_2 T_1) ### Axiom
% 0.20/0.52 44. ((unequally_directed_lines T_1 T_2) => ((unequally_directed_lines T_1 T_1) \/ (unequally_directed_lines T_2 T_1))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_1 T_2) ### DisjTree 41 42 43
% 0.20/0.52 45. (All N, ((unequally_directed_lines T_1 T_2) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_1 T_2) (-. (unequally_directed_lines T_2 T_1)) ### All 44
% 0.20/0.52 46. (-. (unequally_directed_lines T_0 T_2)) (unequally_directed_lines T_0 T_2) ### Axiom
% 0.20/0.52 47. ((unequally_directed_lines T_1 T_0) => ((unequally_directed_lines T_1 T_2) \/ (unequally_directed_lines T_0 T_2))) (-. (unequally_directed_lines T_0 T_2)) (-. (unequally_directed_lines T_2 T_1)) (All N, ((unequally_directed_lines T_1 T_2) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_1 T_0) ### DisjTree 40 45 46
% 0.20/0.53 48. (All N, ((unequally_directed_lines T_1 T_0) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines T_0 N)))) (unequally_directed_lines T_1 T_0) (All N, ((unequally_directed_lines T_1 T_2) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines T_2 N)))) (-. (unequally_directed_lines T_2 T_1)) (-. (unequally_directed_lines T_0 T_2)) ### All 47
% 0.20/0.53 49. (All M, (All N, ((unequally_directed_lines T_1 M) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_0 T_2)) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_1 T_0) (All N, ((unequally_directed_lines T_1 T_0) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines T_0 N)))) ### All 48
% 0.20/0.53 50. (unequally_directed_lines T_1 T_0) (-. (unequally_directed_lines T_2 T_1)) (-. (unequally_directed_lines T_0 T_2)) (All M, (All N, ((unequally_directed_lines T_1 M) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines M N))))) ### All 49
% 0.20/0.53 51. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (-. (unequally_directed_lines T_0 T_2)) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_1 T_0) ### All 50
% 0.20/0.53 52. ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 T_2) \/ (unequally_directed_lines T_2 T_2))) (-. (unequally_directed_lines T_0 T_1)) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_1 T_0) (-. (unequally_directed_lines T_2 T_1)) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### DisjTree 51 36 37
% 0.20/0.53 53. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_1 T_0) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (-. (unequally_directed_lines T_0 T_1)) ### All 52
% 0.20/0.53 54. (unequally_directed_lines T_0 T_2) (-. (unequally_directed_lines T_0 T_2)) ### Axiom
% 0.20/0.53 55. (unequally_directed_lines T_0 T_1) (-. (unequally_directed_lines T_0 T_1)) ### Axiom
% 0.20/0.53 56. (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 (reverse_line T_1))) ### Axiom
% 0.20/0.53 57. (-. (unequally_directed_lines T_0 (reverse_line T_2))) (unequally_directed_lines T_0 (reverse_line T_2)) ### Axiom
% 0.20/0.53 58. ((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) (-. (unequally_directed_lines T_0 (reverse_line T_2))) ### And 57
% 0.20/0.53 59. (-. (unequally_directed_lines T_1 T_2)) (unequally_directed_lines T_1 T_2) ### Axiom
% 0.20/0.53 60. ((unequally_directed_lines T_1 T_2) /\ (unequally_directed_lines T_1 (reverse_line T_2))) (-. (unequally_directed_lines T_1 T_2)) ### And 59
% 0.20/0.53 61. (((unequally_directed_lines T_0 T_1) /\ (unequally_directed_lines T_0 (reverse_line T_1))) => (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) \/ ((unequally_directed_lines T_1 T_2) /\ (unequally_directed_lines T_1 (reverse_line T_2))))) (-. (unequally_directed_lines T_1 T_2)) (-. (unequally_directed_lines T_0 (reverse_line T_2))) (unequally_directed_lines T_0 (reverse_line T_1)) (unequally_directed_lines T_0 T_1) ### DisjTree 55 56 58 60
% 0.20/0.53 62. (All N, (((unequally_directed_lines T_0 T_1) /\ (unequally_directed_lines T_0 (reverse_line T_1))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines T_1 N) /\ (unequally_directed_lines T_1 (reverse_line N)))))) (unequally_directed_lines T_0 T_1) (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 (reverse_line T_2))) (-. (unequally_directed_lines T_1 T_2)) ### All 61
% 0.20/0.53 63. (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 T_1 T_2)) (-. (unequally_directed_lines T_0 (reverse_line T_2))) (unequally_directed_lines T_0 (reverse_line T_1)) (unequally_directed_lines T_0 T_1) ### All 62
% 0.20/0.53 64. (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_2 T_1) ### Axiom
% 0.20/0.53 65. ((unequally_directed_lines T_1 T_2) => ((unequally_directed_lines T_1 T_1) \/ (unequally_directed_lines T_2 T_1))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_1) (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 (reverse_line T_2))) (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))))))) ### DisjTree 63 42 64
% 0.20/0.53 66. (All N, ((unequally_directed_lines T_1 T_2) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines T_2 N)))) (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 T_0 (reverse_line T_2))) (unequally_directed_lines T_0 (reverse_line T_1)) (unequally_directed_lines T_0 T_1) (-. (unequally_directed_lines T_2 T_1)) ### All 65
% 0.20/0.53 67. (All M, (All N, ((unequally_directed_lines T_1 M) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_1) (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_0 (reverse_line T_2))) (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))))))) ### All 66
% 0.20/0.53 68. (unequally_directed_lines T_0 T_2) (-. (unequally_directed_lines T_0 T_2)) ### Axiom
% 0.20/0.53 69. (unequally_directed_lines T_0 (reverse_line T_2)) (-. (unequally_directed_lines T_0 (reverse_line T_2))) ### Axiom
% 0.20/0.53 70. (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines T_2 (reverse_line T_0)) ### Axiom
% 0.20/0.53 71. ((unequally_directed_lines T_2 T_0) /\ (unequally_directed_lines T_2 (reverse_line T_0))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) ### And 70
% 0.20/0.53 72. (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 T_0) /\ (unequally_directed_lines T_0 (reverse_line T_0))) \/ ((unequally_directed_lines T_2 T_0) /\ (unequally_directed_lines T_2 (reverse_line T_0))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines T_0 (reverse_line T_2)) (unequally_directed_lines T_0 T_2) ### DisjTree 68 69 20 71
% 0.20/0.53 73. (All N, (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines T_2 N) /\ (unequally_directed_lines T_2 (reverse_line N)))))) (unequally_directed_lines T_0 T_2) (unequally_directed_lines T_0 (reverse_line T_2)) (-. (unequally_directed_lines T_2 (reverse_line T_0))) ### All 72
% 0.20/0.53 74. ((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines T_0 T_2) (All N, (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines T_2 N) /\ (unequally_directed_lines T_2 (reverse_line N)))))) ### And 73
% 0.20/0.53 75. ((unequally_directed_lines T_2 T_2) /\ (unequally_directed_lines T_2 (reverse_line T_2))) ### And 37
% 0.20/0.53 76. (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) \/ ((unequally_directed_lines T_2 T_2) /\ (unequally_directed_lines T_2 (reverse_line T_2))))) (All N, (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines T_2 N) /\ (unequally_directed_lines T_2 (reverse_line N)))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (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 T_0 (reverse_line T_1)) (unequally_directed_lines T_0 T_1) (-. (unequally_directed_lines T_2 T_1)) (All M, (All N, ((unequally_directed_lines T_1 M) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines M N))))) (unequally_directed_lines T_0 T_2) ### DisjTree 54 67 74 75
% 0.20/0.53 77. (unequally_directed_lines T_0 T_2) (All M, (All N, ((unequally_directed_lines T_1 M) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_1) (unequally_directed_lines T_0 (reverse_line T_1)) (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 T_2 (reverse_line T_0))) (All N, (((unequally_directed_lines T_0 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines T_2 N) /\ (unequally_directed_lines T_2 (reverse_line N)))))) ### All 76
% 0.20/0.53 78. (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 T_2) /\ (unequally_directed_lines T_0 (reverse_line T_2))) => (((unequally_directed_lines T_0 N) /\ (unequally_directed_lines T_0 (reverse_line N))) \/ ((unequally_directed_lines T_2 N) /\ (unequally_directed_lines T_2 (reverse_line N)))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (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 T_0 (reverse_line T_1)) (unequally_directed_lines T_0 T_1) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_2) ### All 77
% 0.20/0.53 79. (unequally_directed_lines T_0 T_2) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_1) (unequally_directed_lines T_0 (reverse_line T_1)) (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 T_2 (reverse_line T_0))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### All 78
% 0.20/0.53 80. ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 T_1) \/ (unequally_directed_lines T_1 T_1))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (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 T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_2) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) ### DisjTree 36 79 42
% 0.20/0.53 81. (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_0 T_2) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 (reverse_line T_1)) (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 T_2 (reverse_line T_0))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### All 80
% 0.20/0.53 82. (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)))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 T_2) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) ### All 81
% 0.20/0.53 83. (All M, (All N, ((unequally_directed_lines T_1 M) => ((unequally_directed_lines T_1 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_1 T_2) ### All 45
% 0.20/0.53 84. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (unequally_directed_lines T_1 T_2) (-. (unequally_directed_lines T_2 T_1)) ### All 83
% 0.20/0.53 85. ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 T_2) \/ (unequally_directed_lines T_1 T_2))) (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_2 (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 N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_1 T_0) (-. (unequally_directed_lines T_2 T_1)) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### DisjTree 53 82 84
% 0.20/0.53 86. (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_1 T_0) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 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 T_2 (reverse_line T_0))) (unequally_directed_lines T_0 (reverse_line T_1)) (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) ### All 85
% 0.20/0.53 87. ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 T_0) \/ (unequally_directed_lines T_1 T_0))) (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) (-. (unequally_directed_lines T_2 T_1)) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (unequally_directed_lines T_0 (reverse_line T_1)) (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)))))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) ### DisjTree 39 4 86
% 0.20/0.53 88. (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_2 (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 L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (unequally_directed_lines T_0 (reverse_line T_1)) (All N, ((unequally_directed_lines T_0 T_2) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_2 N)))) (-. (unequally_directed_lines T_2 T_1)) (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) ### All 87
% 0.20/0.53 89. (All N, ((unequally_directed_lines T_0 T_1) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines T_1 N)))) (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 (reverse_line T_1)) (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)))))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) ### All 88
% 0.20/0.53 90. (All M, (All N, ((unequally_directed_lines T_0 M) => ((unequally_directed_lines T_0 N) \/ (unequally_directed_lines M N))))) (-. (unequally_directed_lines T_2 (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 L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) (unequally_directed_lines T_0 (reverse_line T_1)) (-. (unequally_directed_lines T_2 T_1)) ### All 89
% 0.20/0.53 91. (-. (unequally_directed_lines T_2 T_1)) (unequally_directed_lines T_0 (reverse_line T_1)) (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)))))))) (-. (unequally_directed_lines T_2 (reverse_line T_0))) ### All 90
% 0.20/0.53 92. (-. (((-. (unequally_directed_lines T_2 (reverse_line T_0))) /\ (-. (unequally_directed_lines T_2 T_1))) => (-. (unequally_directed_lines T_0 (reverse_line T_1))))) (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)))))) ### ConjTree 91
% 0.20/0.53 93. (-. (All N, (((-. (unequally_directed_lines T_2 (reverse_line T_0))) /\ (-. (unequally_directed_lines T_2 N))) => (-. (unequally_directed_lines T_0 (reverse_line N)))))) (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)))))))) ### NotAllEx 92
% 0.20/0.53 94. (-. (All M, (All N, (((-. (unequally_directed_lines T_2 (reverse_line M))) /\ (-. (unequally_directed_lines T_2 N))) => (-. (unequally_directed_lines M (reverse_line 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)))))))) (All L, (All M, (All N, ((unequally_directed_lines L M) => ((unequally_directed_lines L N) \/ (unequally_directed_lines M N)))))) ### NotAllEx 93
% 0.20/0.53 95. (-. (All L, (All M, (All N, (((-. (unequally_directed_lines L (reverse_line M))) /\ (-. (unequally_directed_lines L 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)))))) (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)))))))) ### NotAllEx 94
% 0.20/0.53 % SZS output end Proof
% 0.20/0.53 (* END-PROOF *)
%------------------------------------------------------------------------------