%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : GRA014+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n022.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 07:22:25 EDT 2022 % Result : Theorem 1.97s 2.16s % Output : Proof 1.97s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GRA014+1 : TPTP v8.1.0. Released v3.2.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n022.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % 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 : Tue May 31 03:54:22 EDT 2022 % 0.13/0.34 % CPUTime : % 1.97/2.16 % SZS status Theorem % 1.97/2.16 (* PROOF-FOUND *) % 1.97/2.16 (* BEGIN-PROOF *) % 1.97/2.16 % SZS output start Proof % 1.97/2.16 1. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.16 2. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 3. (red (n1) (n2)) (-. (red (n1) (n2))) ### Axiom % 1.97/2.16 4. (red (n2) (n3)) (-. (red (n2) (n3))) ### Axiom % 1.97/2.16 5. (red (n1) (n3)) (-. (red (n1) (n3))) ### Axiom % 1.97/2.16 6. (-. (goal)) (goal) ### P-NotP % 1.97/2.16 7. (((red (n1) (n2)) /\ ((red (n2) (n3)) /\ (red (n1) (n3)))) => (goal)) (-. (goal)) (red (n1) (n3)) (red (n2) (n3)) (red (n1) (n2)) ### DisjTree 3 4 5 6 % 1.97/2.16 8. (All C, (((red (n1) (n2)) /\ ((red (n2) C) /\ (red (n1) C))) => (goal))) (red (n1) (n2)) (red (n2) (n3)) (red (n1) (n3)) (-. (goal)) ### All 7 % 1.97/2.16 9. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n3)) (red (n2) (n3)) (red (n1) (n2)) ### All 8 % 1.97/2.16 10. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (red (n1) (n3)) (-. (goal)) ### All 9 % 1.97/2.16 11. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.16 12. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 13. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 14. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 15. (red (n3) (n4)) (-. (red (n3) (n4))) ### Axiom % 1.97/2.16 16. (red (n4) (n5)) (-. (red (n4) (n5))) ### Axiom % 1.97/2.16 17. (red (n3) (n5)) (-. (red (n3) (n5))) ### Axiom % 1.97/2.16 18. (((red (n3) (n4)) /\ ((red (n4) (n5)) /\ (red (n3) (n5)))) => (goal)) (-. (goal)) (red (n3) (n5)) (red (n4) (n5)) (red (n3) (n4)) ### DisjTree 15 16 17 6 % 1.97/2.16 19. (All C, (((red (n3) (n4)) /\ ((red (n4) C) /\ (red (n3) C))) => (goal))) (red (n3) (n4)) (red (n4) (n5)) (red (n3) (n5)) (-. (goal)) ### All 18 % 1.97/2.16 20. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n4) (n5)) (red (n3) (n4)) ### All 19 % 1.97/2.16 21. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.16 22. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 23. (red (n1) (n4)) (-. (red (n1) (n4))) ### Axiom % 1.97/2.16 24. (red (n4) (n5)) (-. (red (n4) (n5))) ### Axiom % 1.97/2.16 25. (red (n1) (n5)) (-. (red (n1) (n5))) ### Axiom % 1.97/2.16 26. (((red (n1) (n4)) /\ ((red (n4) (n5)) /\ (red (n1) (n5)))) => (goal)) (-. (goal)) (red (n1) (n5)) (red (n4) (n5)) (red (n1) (n4)) ### DisjTree 23 24 25 6 % 1.97/2.16 27. (All C, (((red (n1) (n4)) /\ ((red (n4) C) /\ (red (n1) C))) => (goal))) (red (n1) (n4)) (red (n4) (n5)) (red (n1) (n5)) (-. (goal)) ### All 26 % 1.97/2.16 28. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n4) (n5)) (red (n1) (n4)) ### All 27 % 1.97/2.16 29. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (red (n1) (n5)) (-. (goal)) ### All 28 % 1.97/2.16 30. (green (n1) (n3)) (-. (green (n1) (n3))) ### Axiom % 1.97/2.16 31. (green (n3) (n5)) (-. (green (n3) (n5))) ### Axiom % 1.97/2.16 32. (green (n1) (n5)) (-. (green (n1) (n5))) ### Axiom % 1.97/2.16 33. (((green (n1) (n3)) /\ ((green (n3) (n5)) /\ (green (n1) (n5)))) => (goal)) (-. (goal)) (green (n1) (n5)) (green (n3) (n5)) (green (n1) (n3)) ### DisjTree 30 31 32 6 % 1.97/2.16 34. (All C, (((green (n1) (n3)) /\ ((green (n3) C) /\ (green (n1) C))) => (goal))) (green (n1) (n3)) (green (n3) (n5)) (green (n1) (n5)) (-. (goal)) ### All 33 % 1.97/2.16 35. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n5)) (green (n3) (n5)) (green (n1) (n3)) ### All 34 % 1.97/2.16 36. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n3) (n5)) (green (n1) (n5)) (-. (goal)) ### All 35 % 1.97/2.16 37. (less_than (n1) (n5)) (green (n3) (n5)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 29 36 % 1.97/2.16 38. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n3) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 21 22 37 % 1.97/2.16 39. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n3) (n5)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 38 % 1.97/2.16 40. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n3) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 39 % 1.97/2.16 41. (less_than (n3) (n5)) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 40 % 1.97/2.16 42. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 13 14 41 % 1.97/2.16 43. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 42 % 1.97/2.16 44. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 43 % 1.97/2.16 45. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 46. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 47. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.16 48. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 49. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.16 50. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 51. (red (n1) (n5)) (-. (red (n1) (n5))) ### Axiom % 1.97/2.16 52. (red (n5) (n6)) (-. (red (n5) (n6))) ### Axiom % 1.97/2.16 53. (red (n1) (n6)) (-. (red (n1) (n6))) ### Axiom % 1.97/2.16 54. (((red (n1) (n5)) /\ ((red (n5) (n6)) /\ (red (n1) (n6)))) => (goal)) (-. (goal)) (red (n1) (n6)) (red (n5) (n6)) (red (n1) (n5)) ### DisjTree 51 52 53 6 % 1.97/2.16 55. (All C, (((red (n1) (n5)) /\ ((red (n5) C) /\ (red (n1) C))) => (goal))) (red (n1) (n5)) (red (n5) (n6)) (red (n1) (n6)) (-. (goal)) ### All 54 % 1.97/2.16 56. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n5) (n6)) (red (n1) (n5)) ### All 55 % 1.97/2.16 57. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n5)) (red (n5) (n6)) (red (n1) (n6)) (-. (goal)) ### All 56 % 1.97/2.16 58. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 59. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 60. (red (n4) (n5)) (-. (red (n4) (n5))) ### Axiom % 1.97/2.16 61. (red (n5) (n6)) (-. (red (n5) (n6))) ### Axiom % 1.97/2.16 62. (red (n4) (n6)) (-. (red (n4) (n6))) ### Axiom % 1.97/2.16 63. (((red (n4) (n5)) /\ ((red (n5) (n6)) /\ (red (n4) (n6)))) => (goal)) (-. (goal)) (red (n4) (n6)) (red (n5) (n6)) (red (n4) (n5)) ### DisjTree 60 61 62 6 % 1.97/2.16 64. (All C, (((red (n4) (n5)) /\ ((red (n5) C) /\ (red (n4) C))) => (goal))) (red (n4) (n5)) (red (n5) (n6)) (red (n4) (n6)) (-. (goal)) ### All 63 % 1.97/2.16 65. (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n5) (n6)) (red (n4) (n5)) ### All 64 % 1.97/2.16 66. (green (n1) (n4)) (-. (green (n1) (n4))) ### Axiom % 1.97/2.16 67. (green (n4) (n6)) (-. (green (n4) (n6))) ### Axiom % 1.97/2.16 68. (green (n1) (n6)) (-. (green (n1) (n6))) ### Axiom % 1.97/2.16 69. (((green (n1) (n4)) /\ ((green (n4) (n6)) /\ (green (n1) (n6)))) => (goal)) (-. (goal)) (green (n1) (n6)) (green (n4) (n6)) (green (n1) (n4)) ### DisjTree 66 67 68 6 % 1.97/2.16 70. (All C, (((green (n1) (n4)) /\ ((green (n4) C) /\ (green (n1) C))) => (goal))) (green (n1) (n4)) (green (n4) (n6)) (green (n1) (n6)) (-. (goal)) ### All 69 % 1.97/2.16 71. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n6)) (green (n4) (n6)) (green (n1) (n4)) ### All 70 % 1.97/2.16 72. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n6)) (green (n1) (n6)) (-. (goal)) ### All 71 % 1.97/2.16 73. (less_than (n4) (n6)) (green (n1) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### Extension/test/partition 65 72 % 1.97/2.16 74. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n1) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 58 59 73 % 1.97/2.16 75. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### All 74 % 1.97/2.16 76. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n1) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 75 % 1.97/2.16 77. (less_than (n1) (n6)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n1) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 57 76 % 1.97/2.16 78. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 49 50 77 % 1.97/2.16 79. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n1) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 78 % 1.97/2.16 80. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 79 % 1.97/2.16 81. (green (n3) (n5)) (green (n1) (n3)) (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 80 36 % 1.97/2.16 82. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (green (n3) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 47 48 81 % 1.97/2.16 83. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n3) (n5)) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 82 % 1.97/2.16 84. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (green (n3) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 83 % 1.97/2.16 85. (less_than (n3) (n5)) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 84 % 1.97/2.16 86. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 45 46 85 % 1.97/2.16 87. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 86 % 1.97/2.16 88. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 87 % 1.97/2.16 89. (less_than (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 44 88 % 1.97/2.16 90. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 11 12 89 % 1.97/2.16 91. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n4) (n5)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 90 % 1.97/2.16 92. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 91 % 1.97/2.16 93. (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 10 92 % 1.97/2.16 94. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1 2 93 % 1.97/2.16 95. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 94 % 1.97/2.16 96. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 95 % 1.97/2.16 97. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 96 % 1.97/2.16 98. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 97 % 1.97/2.16 99. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 98 % 1.97/2.16 100. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 99 % 1.97/2.16 101. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 100 % 1.97/2.16 102. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.16 103. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 104. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 105. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 106. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.16 107. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.16 108. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.16 109. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 110. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 111. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.16 112. (red (n2) (n3)) (-. (red (n2) (n3))) ### Axiom % 1.97/2.16 113. (red (n3) (n6)) (-. (red (n3) (n6))) ### Axiom % 1.97/2.16 114. (red (n2) (n6)) (-. (red (n2) (n6))) ### Axiom % 1.97/2.16 115. (((red (n2) (n3)) /\ ((red (n3) (n6)) /\ (red (n2) (n6)))) => (goal)) (-. (goal)) (red (n2) (n6)) (red (n3) (n6)) (red (n2) (n3)) ### DisjTree 112 113 114 6 % 1.97/2.16 116. (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) (red (n2) (n3)) (red (n3) (n6)) (red (n2) (n6)) (-. (goal)) ### All 115 % 1.97/2.16 117. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n6)) (red (n3) (n6)) (red (n2) (n3)) ### All 116 % 1.97/2.16 118. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 119. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.16 120. (red (n1) (n2)) (-. (red (n1) (n2))) ### Axiom % 1.97/2.16 121. (red (n2) (n5)) (-. (red (n2) (n5))) ### Axiom % 1.97/2.16 122. (red (n1) (n5)) (-. (red (n1) (n5))) ### Axiom % 1.97/2.16 123. (((red (n1) (n2)) /\ ((red (n2) (n5)) /\ (red (n1) (n5)))) => (goal)) (-. (goal)) (red (n1) (n5)) (red (n2) (n5)) (red (n1) (n2)) ### DisjTree 120 121 122 6 % 1.97/2.16 124. (All C, (((red (n1) (n2)) /\ ((red (n2) C) /\ (red (n1) C))) => (goal))) (red (n1) (n2)) (red (n2) (n5)) (red (n1) (n5)) (-. (goal)) ### All 123 % 1.97/2.16 125. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n2) (n5)) (red (n1) (n2)) ### All 124 % 1.97/2.16 126. (green (n2) (n5)) (-. (green (n2) (n5))) ### Axiom % 1.97/2.16 127. (green (n5) (n6)) (-. (green (n5) (n6))) ### Axiom % 1.97/2.16 128. (green (n2) (n6)) (-. (green (n2) (n6))) ### Axiom % 1.97/2.16 129. (((green (n2) (n5)) /\ ((green (n5) (n6)) /\ (green (n2) (n6)))) => (goal)) (-. (goal)) (green (n2) (n6)) (green (n5) (n6)) (green (n2) (n5)) ### DisjTree 126 127 128 6 % 1.97/2.16 130. (All C, (((green (n2) (n5)) /\ ((green (n5) C) /\ (green (n2) C))) => (goal))) (green (n2) (n5)) (green (n5) (n6)) (green (n2) (n6)) (-. (goal)) ### All 129 % 1.97/2.16 131. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (green (n2) (n6)) (green (n5) (n6)) (green (n2) (n5)) ### All 130 % 1.97/2.16 132. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (green (n2) (n6)) (-. (goal)) ### All 131 % 1.97/2.16 133. (less_than (n2) (n5)) (green (n2) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 125 132 % 1.97/2.16 134. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n2) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 118 119 133 % 1.97/2.16 135. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 134 % 1.97/2.16 136. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n2) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 135 % 1.97/2.16 137. (less_than (n2) (n6)) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 117 136 % 1.97/2.16 138. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n3) (n5)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 110 111 137 % 1.97/2.16 139. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (less_than (n3) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 138 % 1.97/2.16 140. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n3) (n5)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 139 % 1.97/2.16 141. (green (n3) (n5)) (-. (green (n3) (n5))) ### Axiom % 1.97/2.16 142. (green (n5) (n6)) (-. (green (n5) (n6))) ### Axiom % 1.97/2.16 143. (green (n3) (n6)) (-. (green (n3) (n6))) ### Axiom % 1.97/2.16 144. (((green (n3) (n5)) /\ ((green (n5) (n6)) /\ (green (n3) (n6)))) => (goal)) (-. (goal)) (green (n3) (n6)) (green (n5) (n6)) (green (n3) (n5)) ### DisjTree 141 142 143 6 % 1.97/2.16 145. (All C, (((green (n3) (n5)) /\ ((green (n5) C) /\ (green (n3) C))) => (goal))) (green (n3) (n5)) (green (n5) (n6)) (green (n3) (n6)) (-. (goal)) ### All 144 % 1.97/2.16 146. (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (-. (goal)) (green (n3) (n6)) (green (n5) (n6)) (green (n3) (n5)) ### All 145 % 1.97/2.16 147. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (green (n3) (n6)) (-. (goal)) ### All 146 % 1.97/2.16 148. (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n6)) (less_than (n3) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 140 147 % 1.97/2.16 149. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 108 109 148 % 1.97/2.16 150. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n3) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 149 % 1.97/2.16 151. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 150 % 1.97/2.16 152. (less_than (n1) (n5)) (green (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n3) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 151 36 % 1.97/2.16 153. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n5)) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 106 107 152 % 1.97/2.16 154. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n1) (n3)) (less_than (n5) (n6)) (green (n3) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 153 % 1.97/2.16 155. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n5)) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 154 % 1.97/2.16 156. (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n1) (n3)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 155 % 1.97/2.16 157. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 104 105 156 % 1.97/2.16 158. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (green (n1) (n3)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 157 % 1.97/2.16 159. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 158 % 1.97/2.16 160. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (green (n1) (n3)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 159 % 1.97/2.16 161. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 10 160 % 1.97/2.16 162. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 102 103 161 % 1.97/2.16 163. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 162 % 1.97/2.16 164. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 163 % 1.97/2.16 165. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 164 % 1.97/2.16 166. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 165 % 1.97/2.16 167. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 166 % 1.97/2.16 168. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 167 % 1.97/2.16 169. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 168 % 1.97/2.16 170. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### Extension/test/partition 101 169 % 1.97/2.16 171. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.16 172. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 173. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.16 174. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 175. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 176. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 177. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 178. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 179. (-. (less_than (n2) (n4))) (less_than (n2) (n4)) ### Axiom % 1.97/2.16 180. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (-. (less_than (n2) (n4))) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 177 178 179 % 1.97/2.16 181. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (-. (less_than (n2) (n4))) ### All 180 % 1.97/2.16 182. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 183. (red (n2) (n3)) (-. (red (n2) (n3))) ### Axiom % 1.97/2.16 184. (red (n3) (n5)) (-. (red (n3) (n5))) ### Axiom % 1.97/2.16 185. (red (n2) (n5)) (-. (red (n2) (n5))) ### Axiom % 1.97/2.16 186. (((red (n2) (n3)) /\ ((red (n3) (n5)) /\ (red (n2) (n5)))) => (goal)) (-. (goal)) (red (n2) (n5)) (red (n3) (n5)) (red (n2) (n3)) ### DisjTree 183 184 185 6 % 1.97/2.16 187. (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) (red (n2) (n3)) (red (n3) (n5)) (red (n2) (n5)) (-. (goal)) ### All 186 % 1.97/2.16 188. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n5)) (red (n3) (n5)) (red (n2) (n3)) ### All 187 % 1.97/2.16 189. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 190. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 191. (red (n1) (n2)) (-. (red (n1) (n2))) ### Axiom % 1.97/2.16 192. (red (n2) (n4)) (-. (red (n2) (n4))) ### Axiom % 1.97/2.16 193. (red (n1) (n4)) (-. (red (n1) (n4))) ### Axiom % 1.97/2.16 194. (((red (n1) (n2)) /\ ((red (n2) (n4)) /\ (red (n1) (n4)))) => (goal)) (-. (goal)) (red (n1) (n4)) (red (n2) (n4)) (red (n1) (n2)) ### DisjTree 191 192 193 6 % 1.97/2.16 195. (All C, (((red (n1) (n2)) /\ ((red (n2) C) /\ (red (n1) C))) => (goal))) (red (n1) (n2)) (red (n2) (n4)) (red (n1) (n4)) (-. (goal)) ### All 194 % 1.97/2.16 196. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n2) (n4)) (red (n1) (n2)) ### All 195 % 1.97/2.16 197. (green (n2) (n4)) (-. (green (n2) (n4))) ### Axiom % 1.97/2.16 198. (green (n4) (n5)) (-. (green (n4) (n5))) ### Axiom % 1.97/2.16 199. (green (n2) (n5)) (-. (green (n2) (n5))) ### Axiom % 1.97/2.16 200. (((green (n2) (n4)) /\ ((green (n4) (n5)) /\ (green (n2) (n5)))) => (goal)) (-. (goal)) (green (n2) (n5)) (green (n4) (n5)) (green (n2) (n4)) ### DisjTree 197 198 199 6 % 1.97/2.16 201. (All C, (((green (n2) (n4)) /\ ((green (n4) C) /\ (green (n2) C))) => (goal))) (green (n2) (n4)) (green (n4) (n5)) (green (n2) (n5)) (-. (goal)) ### All 200 % 1.97/2.16 202. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (green (n2) (n5)) (green (n4) (n5)) (green (n2) (n4)) ### All 201 % 1.97/2.16 203. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (green (n2) (n5)) (-. (goal)) ### All 202 % 1.97/2.16 204. (less_than (n2) (n4)) (green (n2) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 196 203 % 1.97/2.16 205. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 189 190 204 % 1.97/2.16 206. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 205 % 1.97/2.16 207. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 206 % 1.97/2.16 208. (less_than (n2) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 188 207 % 1.97/2.16 209. (((less_than (n2) (n4)) /\ (less_than (n4) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) ### DisjTree 181 182 208 % 1.97/2.16 210. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 209 % 1.97/2.16 211. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) ### All 210 % 1.97/2.16 212. (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 211 % 1.97/2.16 213. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.16 214. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 215. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 216. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 217. (red (n2) (n3)) (-. (red (n2) (n3))) ### Axiom % 1.97/2.16 218. (red (n3) (n4)) (-. (red (n3) (n4))) ### Axiom % 1.97/2.16 219. (red (n2) (n4)) (-. (red (n2) (n4))) ### Axiom % 1.97/2.16 220. (((red (n2) (n3)) /\ ((red (n3) (n4)) /\ (red (n2) (n4)))) => (goal)) (-. (goal)) (red (n2) (n4)) (red (n3) (n4)) (red (n2) (n3)) ### DisjTree 217 218 219 6 % 1.97/2.16 221. (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) (red (n2) (n3)) (red (n3) (n4)) (red (n2) (n4)) (-. (goal)) ### All 220 % 1.97/2.16 222. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (red (n3) (n4)) (red (n2) (n3)) ### All 221 % 1.97/2.16 223. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.16 224. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 225. (less_than (n2) (n5)) (green (n4) (n5)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 125 203 % 1.97/2.16 226. (((less_than (n2) (n4)) /\ (less_than (n4) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n2) (n4)) ### DisjTree 223 224 225 % 1.97/2.16 227. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 226 % 1.97/2.16 228. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n2) (n4)) ### All 227 % 1.97/2.16 229. (less_than (n2) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 222 228 % 1.97/2.16 230. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 215 216 229 % 1.97/2.16 231. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 230 % 1.97/2.16 232. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 231 % 1.97/2.16 233. (less_than (n1) (n5)) (green (n3) (n5)) (green (n1) (n3)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 232 36 % 1.97/2.16 234. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n1) (n3)) (green (n3) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 213 214 233 % 1.97/2.16 235. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n3) (n5)) (green (n1) (n3)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 234 % 1.97/2.16 236. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n1) (n3)) (green (n3) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 235 % 1.97/2.16 237. (less_than (n3) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### Extension/test/partition 212 236 % 1.97/2.16 238. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 175 176 237 % 1.97/2.16 239. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) ### All 238 % 1.97/2.16 240. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 239 % 1.97/2.16 241. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 240 % 1.97/2.16 242. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.16 243. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 244. (green (n1) (n4)) (-. (green (n1) (n4))) ### Axiom % 1.97/2.16 245. (green (n4) (n5)) (-. (green (n4) (n5))) ### Axiom % 1.97/2.16 246. (green (n1) (n5)) (-. (green (n1) (n5))) ### Axiom % 1.97/2.16 247. (((green (n1) (n4)) /\ ((green (n4) (n5)) /\ (green (n1) (n5)))) => (goal)) (-. (goal)) (green (n1) (n5)) (green (n4) (n5)) (green (n1) (n4)) ### DisjTree 244 245 246 6 % 1.97/2.16 248. (All C, (((green (n1) (n4)) /\ ((green (n4) C) /\ (green (n1) C))) => (goal))) (green (n1) (n4)) (green (n4) (n5)) (green (n1) (n5)) (-. (goal)) ### All 247 % 1.97/2.16 249. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n5)) (green (n4) (n5)) (green (n1) (n4)) ### All 248 % 1.97/2.16 250. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (green (n1) (n5)) (-. (goal)) ### All 249 % 1.97/2.16 251. (less_than (n1) (n5)) (green (n1) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 232 250 % 1.97/2.16 252. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 242 243 251 % 1.97/2.16 253. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n1) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 252 % 1.97/2.16 254. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 253 % 1.97/2.16 255. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n1) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 254 % 1.97/2.16 256. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 241 255 % 1.97/2.16 257. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n1) (n3)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 173 174 256 % 1.97/2.16 258. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 257 % 1.97/2.16 259. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n1) (n3)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 258 % 1.97/2.16 260. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (less_than (n4) (n5)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 10 259 % 1.97/2.16 261. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 171 172 260 % 1.97/2.16 262. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (less_than (n4) (n5)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 261 % 1.97/2.16 263. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 262 % 1.97/2.16 264. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (less_than (n4) (n5)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 263 % 1.97/2.16 265. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 264 % 1.97/2.16 266. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (less_than (n4) (n5)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 265 % 1.97/2.16 267. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (less_than (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 266 % 1.97/2.16 268. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 170 267 % 1.97/2.16 269. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.16 270. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 271. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.16 272. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 273. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 274. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 275. (-. (less_than (n3) (n5))) (less_than (n3) (n5)) ### Axiom % 1.97/2.16 276. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (-. (less_than (n3) (n5))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 273 274 275 % 1.97/2.16 277. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (-. (less_than (n3) (n5))) ### All 276 % 1.97/2.16 278. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 279. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 280. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 281. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 282. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 283. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 284. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.16 285. (green (n2) (n4)) (-. (green (n2) (n4))) ### Axiom % 1.97/2.16 286. (green (n4) (n6)) (-. (green (n4) (n6))) ### Axiom % 1.97/2.16 287. (green (n2) (n6)) (-. (green (n2) (n6))) ### Axiom % 1.97/2.16 288. (((green (n2) (n4)) /\ ((green (n4) (n6)) /\ (green (n2) (n6)))) => (goal)) (-. (goal)) (green (n2) (n6)) (green (n4) (n6)) (green (n2) (n4)) ### DisjTree 285 286 287 6 % 1.97/2.16 289. (All C, (((green (n2) (n4)) /\ ((green (n4) C) /\ (green (n2) C))) => (goal))) (green (n2) (n4)) (green (n4) (n6)) (green (n2) (n6)) (-. (goal)) ### All 288 % 1.97/2.16 290. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (green (n2) (n6)) (green (n4) (n6)) (green (n2) (n4)) ### All 289 % 1.97/2.16 291. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (green (n2) (n6)) (-. (goal)) ### All 290 % 1.97/2.16 292. (less_than (n2) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) ### Extension/test/partition 116 291 % 1.97/2.16 293. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 283 284 292 % 1.97/2.16 294. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) ### All 293 % 1.97/2.16 295. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All C, (((red (n2) (n3)) /\ ((red (n3) C) /\ (red (n2) C))) => (goal))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 294 % 1.97/2.16 296. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 295 % 1.97/2.16 297. (less_than (n2) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 196 296 % 1.97/2.16 298. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n6)) (green (n4) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 281 282 297 % 1.97/2.16 299. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n6)) (less_than (n3) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 298 % 1.97/2.16 300. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n6)) (green (n4) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 299 % 1.97/2.16 301. (less_than (n4) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### Extension/test/partition 65 300 % 1.97/2.16 302. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 279 280 301 % 1.97/2.16 303. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### All 302 % 1.97/2.16 304. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 303 % 1.97/2.16 305. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 306. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 307. (green (n3) (n4)) (-. (green (n3) (n4))) ### Axiom % 1.97/2.16 308. (green (n4) (n6)) (-. (green (n4) (n6))) ### Axiom % 1.97/2.16 309. (green (n3) (n6)) (-. (green (n3) (n6))) ### Axiom % 1.97/2.16 310. (((green (n3) (n4)) /\ ((green (n4) (n6)) /\ (green (n3) (n6)))) => (goal)) (-. (goal)) (green (n3) (n6)) (green (n4) (n6)) (green (n3) (n4)) ### DisjTree 307 308 309 6 % 1.97/2.16 311. (All C, (((green (n3) (n4)) /\ ((green (n4) C) /\ (green (n3) C))) => (goal))) (green (n3) (n4)) (green (n4) (n6)) (green (n3) (n6)) (-. (goal)) ### All 310 % 1.97/2.16 312. (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (-. (goal)) (green (n3) (n6)) (green (n4) (n6)) (green (n3) (n4)) ### All 311 % 1.97/2.16 313. (less_than (n4) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### Extension/test/partition 65 312 % 1.97/2.16 314. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 305 306 313 % 1.97/2.16 315. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### All 314 % 1.97/2.16 316. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 315 % 1.97/2.16 317. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 316 % 1.97/2.16 318. (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 304 317 % 1.97/2.16 319. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) ### DisjTree 277 278 318 % 1.97/2.16 320. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 319 % 1.97/2.16 321. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) ### All 320 % 1.97/2.16 322. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 321 % 1.97/2.16 323. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 322 % 1.97/2.16 324. (green (n1) (n3)) (-. (green (n1) (n3))) ### Axiom % 1.97/2.16 325. (green (n3) (n4)) (-. (green (n3) (n4))) ### Axiom % 1.97/2.16 326. (green (n1) (n4)) (-. (green (n1) (n4))) ### Axiom % 1.97/2.16 327. (((green (n1) (n3)) /\ ((green (n3) (n4)) /\ (green (n1) (n4)))) => (goal)) (-. (goal)) (green (n1) (n4)) (green (n3) (n4)) (green (n1) (n3)) ### DisjTree 324 325 326 6 % 1.97/2.16 328. (All C, (((green (n1) (n3)) /\ ((green (n3) C) /\ (green (n1) C))) => (goal))) (green (n1) (n3)) (green (n3) (n4)) (green (n1) (n4)) (-. (goal)) ### All 327 % 1.97/2.16 329. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n4)) (green (n3) (n4)) (green (n1) (n3)) ### All 328 % 1.97/2.16 330. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n3) (n4)) (green (n1) (n4)) (-. (goal)) ### All 329 % 1.97/2.16 331. (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 323 330 % 1.97/2.16 332. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 271 272 331 % 1.97/2.16 333. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n1) (n2)) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 332 % 1.97/2.16 334. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (red (n1) (n2)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 333 % 1.97/2.16 335. (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 10 334 % 1.97/2.16 336. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 269 270 335 % 1.97/2.16 337. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 336 % 1.97/2.16 338. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 337 % 1.97/2.16 339. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 338 % 1.97/2.16 340. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 339 % 1.97/2.16 341. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 340 % 1.97/2.16 342. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 341 % 1.97/2.16 343. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 342 % 1.97/2.16 344. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 343 % 1.97/2.16 345. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.16 346. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 347. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.16 348. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 349. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.16 350. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 351. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.16 352. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 353. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.16 354. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 355. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.16 356. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 357. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 358. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.16 359. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.16 360. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.16 361. (less_than (n2) (n6)) (green (n5) (n6)) (green (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 117 132 % 1.97/2.16 362. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 359 360 361 % 1.97/2.16 363. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n5) (n6)) (green (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 362 % 1.97/2.16 364. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 363 % 1.97/2.16 365. (less_than (n2) (n5)) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 188 364 % 1.97/2.16 366. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n3) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 357 358 365 % 1.97/2.16 367. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (less_than (n3) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 366 % 1.97/2.16 368. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n3) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n3) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 367 % 1.97/2.16 369. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.16 370. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.16 371. (red (n1) (n4)) (-. (red (n1) (n4))) ### Axiom % 1.97/2.16 372. (red (n4) (n6)) (-. (red (n4) (n6))) ### Axiom % 1.97/2.16 373. (red (n1) (n6)) (-. (red (n1) (n6))) ### Axiom % 1.97/2.16 374. (((red (n1) (n4)) /\ ((red (n4) (n6)) /\ (red (n1) (n6)))) => (goal)) (-. (goal)) (red (n1) (n6)) (red (n4) (n6)) (red (n1) (n4)) ### DisjTree 371 372 373 6 % 1.97/2.16 375. (All C, (((red (n1) (n4)) /\ ((red (n4) C) /\ (red (n1) C))) => (goal))) (red (n1) (n4)) (red (n4) (n6)) (red (n1) (n6)) (-. (goal)) ### All 374 % 1.97/2.16 376. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n4) (n6)) (red (n1) (n4)) ### All 375 % 1.97/2.16 377. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n6)) (red (n1) (n6)) (-. (goal)) ### All 376 % 1.97/2.16 378. (less_than (n4) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 377 312 % 1.97/2.16 379. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 369 370 378 % 1.97/2.16 380. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 379 % 1.97/2.16 381. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 380 % 1.97/2.16 382. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (-. (goal)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 381 % 1.97/2.16 383. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n1) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n3) (n5)) (less_than (n3) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 368 382 % 1.97/2.16 384. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 355 356 383 % 1.97/2.16 385. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n1) (n6)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 384 % 1.97/2.16 386. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 385 % 1.97/2.16 387. (green (n1) (n5)) (-. (green (n1) (n5))) ### Axiom % 1.97/2.16 388. (green (n5) (n6)) (-. (green (n5) (n6))) ### Axiom % 1.97/2.16 389. (green (n1) (n6)) (-. (green (n1) (n6))) ### Axiom % 1.97/2.16 390. (((green (n1) (n5)) /\ ((green (n5) (n6)) /\ (green (n1) (n6)))) => (goal)) (-. (goal)) (green (n1) (n6)) (green (n5) (n6)) (green (n1) (n5)) ### DisjTree 387 388 389 6 % 1.97/2.16 391. (All C, (((green (n1) (n5)) /\ ((green (n5) C) /\ (green (n1) C))) => (goal))) (green (n1) (n5)) (green (n5) (n6)) (green (n1) (n6)) (-. (goal)) ### All 390 % 1.97/2.16 392. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n6)) (green (n5) (n6)) (green (n1) (n5)) ### All 391 % 1.97/2.16 393. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n5) (n6)) (green (n1) (n6)) (-. (goal)) ### All 392 % 1.97/2.16 394. (less_than (n1) (n6)) (green (n1) (n5)) (less_than (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 386 393 % 1.97/2.17 395. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 353 354 394 % 1.97/2.17 396. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 395 % 1.97/2.17 397. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 396 % 1.97/2.17 398. (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 28 397 % 1.97/2.17 399. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 351 352 398 % 1.97/2.17 400. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (red (n3) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 399 % 1.97/2.17 401. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 400 % 1.97/2.17 402. (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 401 40 % 1.97/2.17 403. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 349 350 402 % 1.97/2.17 404. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 403 % 1.97/2.17 405. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 404 % 1.97/2.17 406. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 405 330 % 1.97/2.17 407. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 347 348 406 % 1.97/2.17 408. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 407 % 1.97/2.17 409. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 408 % 1.97/2.17 410. (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 9 409 % 1.97/2.17 411. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 345 346 410 % 1.97/2.17 412. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 411 % 1.97/2.17 413. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 412 % 1.97/2.17 414. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 413 % 1.97/2.17 415. (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 414 % 1.97/2.17 416. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) ### All 415 % 1.97/2.17 417. (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 416 % 1.97/2.17 418. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) ### All 417 % 1.97/2.17 419. (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (red (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 418 % 1.97/2.17 420. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 344 419 % 1.97/2.17 421. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.17 422. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 423. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 424. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 425. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 426. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 427. (green (n3) (n4)) (-. (green (n3) (n4))) ### Axiom % 1.97/2.17 428. (green (n4) (n5)) (-. (green (n4) (n5))) ### Axiom % 1.97/2.17 429. (green (n3) (n5)) (-. (green (n3) (n5))) ### Axiom % 1.97/2.17 430. (((green (n3) (n4)) /\ ((green (n4) (n5)) /\ (green (n3) (n5)))) => (goal)) (-. (goal)) (green (n3) (n5)) (green (n4) (n5)) (green (n3) (n4)) ### DisjTree 427 428 429 6 % 1.97/2.17 431. (All C, (((green (n3) (n4)) /\ ((green (n4) C) /\ (green (n3) C))) => (goal))) (green (n3) (n4)) (green (n4) (n5)) (green (n3) (n5)) (-. (goal)) ### All 430 % 1.97/2.17 432. (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (-. (goal)) (green (n3) (n5)) (green (n4) (n5)) (green (n3) (n4)) ### All 431 % 1.97/2.17 433. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (green (n4) (n5)) (green (n3) (n5)) (-. (goal)) ### All 432 % 1.97/2.17 434. (less_than (n3) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### Extension/test/partition 212 433 % 1.97/2.17 435. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 425 426 434 % 1.97/2.17 436. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) ### All 435 % 1.97/2.17 437. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 436 % 1.97/2.17 438. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 439. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 440. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 441. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 442. (red (n1) (n3)) (-. (red (n1) (n3))) ### Axiom % 1.97/2.17 443. (red (n3) (n5)) (-. (red (n3) (n5))) ### Axiom % 1.97/2.17 444. (red (n1) (n5)) (-. (red (n1) (n5))) ### Axiom % 1.97/2.17 445. (((red (n1) (n3)) /\ ((red (n3) (n5)) /\ (red (n1) (n5)))) => (goal)) (-. (goal)) (red (n1) (n5)) (red (n3) (n5)) (red (n1) (n3)) ### DisjTree 442 443 444 6 % 1.97/2.17 446. (All C, (((red (n1) (n3)) /\ ((red (n3) C) /\ (red (n1) C))) => (goal))) (red (n1) (n3)) (red (n3) (n5)) (red (n1) (n5)) (-. (goal)) ### All 445 % 1.97/2.17 447. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n3) (n5)) (red (n1) (n3)) ### All 446 % 1.97/2.17 448. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (red (n1) (n5)) (-. (goal)) ### All 447 % 1.97/2.17 449. (less_than (n1) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 448 250 % 1.97/2.17 450. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 440 441 449 % 1.97/2.17 451. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 450 % 1.97/2.17 452. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 451 % 1.97/2.17 453. (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 452 432 % 1.97/2.17 454. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 438 439 453 % 1.97/2.17 455. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 454 % 1.97/2.17 456. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 455 % 1.97/2.17 457. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 456 % 1.97/2.17 458. (less_than (n1) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 437 457 % 1.97/2.17 459. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 423 424 458 % 1.97/2.17 460. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 459 % 1.97/2.17 461. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 460 % 1.97/2.17 462. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 463. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 464. (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 437 330 % 1.97/2.17 465. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 462 463 464 % 1.97/2.17 466. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 465 % 1.97/2.17 467. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 466 % 1.97/2.17 468. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 461 467 % 1.97/2.17 469. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 421 422 468 % 1.97/2.17 470. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 469 % 1.97/2.17 471. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 470 % 1.97/2.17 472. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 471 % 1.97/2.17 473. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 472 % 1.97/2.17 474. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 473 % 1.97/2.17 475. (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (green (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 474 % 1.97/2.17 476. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (green (n3) (n4)) (-. (goal)) (red (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) ### All 475 % 1.97/2.17 477. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 420 476 % 1.97/2.17 478. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n2)) (red (n2) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### Extension/test/partition 268 477 % 1.97/2.17 479. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 480. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 481. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 482. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 483. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 484. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 485. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 486. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 487. (red (n2) (n4)) (-. (red (n2) (n4))) ### Axiom % 1.97/2.17 488. (red (n4) (n5)) (-. (red (n4) (n5))) ### Axiom % 1.97/2.17 489. (red (n2) (n5)) (-. (red (n2) (n5))) ### Axiom % 1.97/2.17 490. (((red (n2) (n4)) /\ ((red (n4) (n5)) /\ (red (n2) (n5)))) => (goal)) (-. (goal)) (red (n2) (n5)) (red (n4) (n5)) (red (n2) (n4)) ### DisjTree 487 488 489 6 % 1.97/2.17 491. (All C, (((red (n2) (n4)) /\ ((red (n4) C) /\ (red (n2) C))) => (goal))) (red (n2) (n4)) (red (n4) (n5)) (red (n2) (n5)) (-. (goal)) ### All 490 % 1.97/2.17 492. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n5)) (red (n4) (n5)) (red (n2) (n4)) ### All 491 % 1.97/2.17 493. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n5)) (red (n2) (n5)) (-. (goal)) ### All 492 % 1.97/2.17 494. (green (n2) (n3)) (-. (green (n2) (n3))) ### Axiom % 1.97/2.17 495. (green (n3) (n5)) (-. (green (n3) (n5))) ### Axiom % 1.97/2.17 496. (green (n2) (n5)) (-. (green (n2) (n5))) ### Axiom % 1.97/2.17 497. (((green (n2) (n3)) /\ ((green (n3) (n5)) /\ (green (n2) (n5)))) => (goal)) (-. (goal)) (green (n2) (n5)) (green (n3) (n5)) (green (n2) (n3)) ### DisjTree 494 495 496 6 % 1.97/2.17 498. (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (green (n2) (n3)) (green (n3) (n5)) (green (n2) (n5)) (-. (goal)) ### All 497 % 1.97/2.17 499. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (green (n2) (n5)) (green (n3) (n5)) (green (n2) (n3)) ### All 498 % 1.97/2.17 500. (less_than (n2) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 493 499 % 1.97/2.17 501. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 485 486 500 % 1.97/2.17 502. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 501 % 1.97/2.17 503. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 502 % 1.97/2.17 504. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.17 505. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 506. (less_than (n2) (n5)) (-. (less_than (n2) (n5))) ### Axiom % 1.97/2.17 507. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 508. (red (n2) (n5)) (-. (red (n2) (n5))) ### Axiom % 1.97/2.17 509. (red (n5) (n6)) (-. (red (n5) (n6))) ### Axiom % 1.97/2.17 510. (red (n2) (n6)) (-. (red (n2) (n6))) ### Axiom % 1.97/2.17 511. (((red (n2) (n5)) /\ ((red (n5) (n6)) /\ (red (n2) (n6)))) => (goal)) (-. (goal)) (red (n2) (n6)) (red (n5) (n6)) (red (n2) (n5)) ### DisjTree 508 509 510 6 % 1.97/2.17 512. (All C, (((red (n2) (n5)) /\ ((red (n5) C) /\ (red (n2) C))) => (goal))) (red (n2) (n5)) (red (n5) (n6)) (red (n2) (n6)) (-. (goal)) ### All 511 % 1.97/2.17 513. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n6)) (red (n5) (n6)) (red (n2) (n5)) ### All 512 % 1.97/2.17 514. (less_than (n2) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 513 291 % 1.97/2.17 515. (((less_than (n2) (n5)) /\ (less_than (n5) (n6))) => (less_than (n2) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (less_than (n5) (n6)) (less_than (n2) (n5)) ### DisjTree 506 507 514 % 1.97/2.17 516. (All C, (((less_than (n2) (n5)) /\ (less_than (n5) C)) => (less_than (n2) C))) (less_than (n2) (n5)) (less_than (n5) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 515 % 1.97/2.17 517. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (less_than (n5) (n6)) (less_than (n2) (n5)) ### All 516 % 1.97/2.17 518. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n5)) (less_than (n5) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 517 % 1.97/2.17 519. (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (less_than (n5) (n6)) (less_than (n2) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 518 499 % 1.97/2.17 520. (((less_than (n2) (n4)) /\ (less_than (n4) (n5))) => (less_than (n2) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n4) (n5)) (less_than (n2) (n4)) ### DisjTree 504 505 519 % 1.97/2.17 521. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n6)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 520 % 1.97/2.17 522. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (green (n4) (n6)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n4) (n5)) (less_than (n2) (n4)) ### All 521 % 1.97/2.17 523. (less_than (n2) (n4)) (less_than (n4) (n5)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n6)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 503 522 % 1.97/2.17 524. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n4) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 483 484 523 % 1.97/2.17 525. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 524 % 1.97/2.17 526. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n4) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 525 % 1.97/2.17 527. (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 526 % 1.97/2.17 528. (less_than (n4) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### Extension/test/partition 65 527 % 1.97/2.17 529. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 481 482 528 % 1.97/2.17 530. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (red (n4) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) ### All 529 % 1.97/2.17 531. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n4) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 530 % 1.97/2.17 532. (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 531 % 1.97/2.17 533. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 479 480 532 % 1.97/2.17 534. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 533 % 1.97/2.17 535. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 534 % 1.97/2.17 536. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 535 % 1.97/2.17 537. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 536 % 1.97/2.17 538. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 537 % 1.97/2.17 539. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (red (n5) (n6)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 538 % 1.97/2.17 540. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (red (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) ### All 539 % 1.97/2.17 541. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.17 542. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 543. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 544. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 545. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 546. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 547. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.17 548. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 549. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 550. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 551. (less_than (n2) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 125 499 % 1.97/2.17 552. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 549 550 551 % 1.97/2.17 553. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 552 % 1.97/2.17 554. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 553 % 1.97/2.17 555. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 554 % 1.97/2.17 556. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.17 557. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 558. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 559. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 560. (red (n1) (n3)) (-. (red (n1) (n3))) ### Axiom % 1.97/2.17 561. (red (n3) (n6)) (-. (red (n3) (n6))) ### Axiom % 1.97/2.17 562. (red (n1) (n6)) (-. (red (n1) (n6))) ### Axiom % 1.97/2.17 563. (((red (n1) (n3)) /\ ((red (n3) (n6)) /\ (red (n1) (n6)))) => (goal)) (-. (goal)) (red (n1) (n6)) (red (n3) (n6)) (red (n1) (n3)) ### DisjTree 560 561 562 6 % 1.97/2.17 564. (All C, (((red (n1) (n3)) /\ ((red (n3) C) /\ (red (n1) C))) => (goal))) (red (n1) (n3)) (red (n3) (n6)) (red (n1) (n6)) (-. (goal)) ### All 563 % 1.97/2.17 565. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n3) (n6)) (red (n1) (n3)) ### All 564 % 1.97/2.17 566. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n6)) (red (n1) (n6)) (-. (goal)) ### All 565 % 1.97/2.17 567. (less_than (n3) (n6)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 566 147 % 1.97/2.17 568. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 558 559 567 % 1.97/2.17 569. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 568 % 1.97/2.17 570. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 569 % 1.97/2.17 571. (less_than (n1) (n6)) (green (n1) (n5)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 570 393 % 1.97/2.17 572. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n3) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 556 557 571 % 1.97/2.17 573. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n3) (n5)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 572 % 1.97/2.17 574. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n3) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 573 % 1.97/2.17 575. (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 555 574 % 1.97/2.17 576. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 547 548 575 % 1.97/2.17 577. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 576 % 1.97/2.17 578. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 577 % 1.97/2.17 579. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 578 % 1.97/2.17 580. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 545 546 579 % 1.97/2.17 581. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 580 % 1.97/2.17 582. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 543 544 581 % 1.97/2.17 583. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 582 % 1.97/2.17 584. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) ### All 583 % 1.97/2.17 585. (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 584 % 1.97/2.17 586. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 587. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 588. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 589. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 590. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.17 591. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 592. (less_than (n1) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 555 36 % 1.97/2.17 593. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 590 591 592 % 1.97/2.17 594. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 593 % 1.97/2.17 595. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 594 % 1.97/2.17 596. (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 595 % 1.97/2.17 597. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 588 589 596 % 1.97/2.17 598. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 597 % 1.97/2.17 599. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 586 587 598 % 1.97/2.17 600. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 599 % 1.97/2.17 601. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) ### All 600 % 1.97/2.17 602. (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 601 % 1.97/2.17 603. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### Extension/test/partition 585 602 % 1.97/2.17 604. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 541 542 603 % 1.97/2.17 605. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 604 % 1.97/2.17 606. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 605 % 1.97/2.17 607. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 606 % 1.97/2.17 608. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n2)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 607 % 1.97/2.17 609. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 608 % 1.97/2.17 610. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n2)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 609 % 1.97/2.17 611. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 610 % 1.97/2.17 612. (red (n1) (n2)) (less_than (n1) (n2)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 540 611 % 1.97/2.17 613. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.17 614. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 615. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 616. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 617. (red (n1) (n3)) (-. (red (n1) (n3))) ### Axiom % 1.97/2.17 618. (red (n3) (n4)) (-. (red (n3) (n4))) ### Axiom % 1.97/2.17 619. (red (n1) (n4)) (-. (red (n1) (n4))) ### Axiom % 1.97/2.17 620. (((red (n1) (n3)) /\ ((red (n3) (n4)) /\ (red (n1) (n4)))) => (goal)) (-. (goal)) (red (n1) (n4)) (red (n3) (n4)) (red (n1) (n3)) ### DisjTree 617 618 619 6 % 1.97/2.17 621. (All C, (((red (n1) (n3)) /\ ((red (n3) C) /\ (red (n1) C))) => (goal))) (red (n1) (n3)) (red (n3) (n4)) (red (n1) (n4)) (-. (goal)) ### All 620 % 1.97/2.17 622. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n3) (n4)) (red (n1) (n3)) ### All 621 % 1.97/2.17 623. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 624. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 625. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.17 626. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 627. (less_than (n1) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 555 250 % 1.97/2.17 628. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 625 626 627 % 1.97/2.17 629. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 628 % 1.97/2.17 630. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 629 % 1.97/2.17 631. (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 452 630 % 1.97/2.17 632. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 623 624 631 % 1.97/2.17 633. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 632 % 1.97/2.17 634. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 633 % 1.97/2.17 635. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 622 634 % 1.97/2.17 636. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 615 616 635 % 1.97/2.17 637. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 636 % 1.97/2.17 638. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 637 % 1.97/2.17 639. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 640. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 641. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 642. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 643. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 644. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 645. (red (n3) (n5)) (-. (red (n3) (n5))) ### Axiom % 1.97/2.17 646. (red (n5) (n6)) (-. (red (n5) (n6))) ### Axiom % 1.97/2.17 647. (red (n3) (n6)) (-. (red (n3) (n6))) ### Axiom % 1.97/2.17 648. (((red (n3) (n5)) /\ ((red (n5) (n6)) /\ (red (n3) (n6)))) => (goal)) (-. (goal)) (red (n3) (n6)) (red (n5) (n6)) (red (n3) (n5)) ### DisjTree 645 646 647 6 % 1.97/2.17 649. (All C, (((red (n3) (n5)) /\ ((red (n5) C) /\ (red (n3) C))) => (goal))) (red (n3) (n5)) (red (n5) (n6)) (red (n3) (n6)) (-. (goal)) ### All 648 % 1.97/2.17 650. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n5) (n6)) (red (n3) (n5)) ### All 649 % 1.97/2.17 651. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (red (n3) (n6)) (-. (goal)) ### All 650 % 1.97/2.17 652. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 653. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 654. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 655. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.17 656. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (red (n2) (n6)) (-. (goal)) ### All 513 % 1.97/2.17 657. (green (n2) (n3)) (-. (green (n2) (n3))) ### Axiom % 1.97/2.17 658. (green (n3) (n6)) (-. (green (n3) (n6))) ### Axiom % 1.97/2.17 659. (green (n2) (n6)) (-. (green (n2) (n6))) ### Axiom % 1.97/2.17 660. (((green (n2) (n3)) /\ ((green (n3) (n6)) /\ (green (n2) (n6)))) => (goal)) (-. (goal)) (green (n2) (n6)) (green (n3) (n6)) (green (n2) (n3)) ### DisjTree 657 658 659 6 % 1.97/2.17 661. (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (green (n2) (n3)) (green (n3) (n6)) (green (n2) (n6)) (-. (goal)) ### All 660 % 1.97/2.17 662. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (green (n2) (n6)) (green (n3) (n6)) (green (n2) (n3)) ### All 661 % 1.97/2.17 663. (less_than (n2) (n6)) (green (n2) (n3)) (green (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n2) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 656 662 % 1.97/2.17 664. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n6)) (green (n2) (n3)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 654 655 663 % 1.97/2.17 665. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n2) (n3)) (green (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n2) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 664 % 1.97/2.17 666. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n6)) (green (n2) (n3)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 665 % 1.97/2.17 667. (less_than (n2) (n5)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n2) (n3)) (green (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 666 207 % 1.97/2.17 668. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n6)) (green (n2) (n3)) (less_than (n3) (n6)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 652 653 667 % 1.97/2.17 669. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n3) (n6)) (green (n2) (n3)) (green (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 668 % 1.97/2.17 670. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n6)) (green (n2) (n3)) (less_than (n3) (n6)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 669 % 1.97/2.17 671. (less_than (n2) (n3)) (less_than (n3) (n5)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n3) (n6)) (green (n2) (n3)) (green (n3) (n6)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 670 % 1.97/2.17 672. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (less_than (n3) (n6)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n2) (n3)) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 651 671 % 1.97/2.17 673. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 643 644 672 % 1.97/2.17 674. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 673 % 1.97/2.17 675. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 674 % 1.97/2.17 676. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 677. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 678. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 676 677 594 % 1.97/2.17 679. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 678 % 1.97/2.17 680. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 679 % 1.97/2.17 681. (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 680 % 1.97/2.17 682. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 675 681 % 1.97/2.17 683. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 641 642 682 % 1.97/2.17 684. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n1) (n3)) (less_than (n1) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n4)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 683 % 1.97/2.17 685. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n4)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 684 % 1.97/2.17 686. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 687. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.17 688. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 689. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 690. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.17 691. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 692. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.17 693. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.17 694. (green (n1) (n3)) (-. (green (n1) (n3))) ### Axiom % 1.97/2.17 695. (green (n3) (n6)) (-. (green (n3) (n6))) ### Axiom % 1.97/2.17 696. (green (n1) (n6)) (-. (green (n1) (n6))) ### Axiom % 1.97/2.17 697. (((green (n1) (n3)) /\ ((green (n3) (n6)) /\ (green (n1) (n6)))) => (goal)) (-. (goal)) (green (n1) (n6)) (green (n3) (n6)) (green (n1) (n3)) ### DisjTree 694 695 696 6 % 1.97/2.17 698. (All C, (((green (n1) (n3)) /\ ((green (n3) C) /\ (green (n1) C))) => (goal))) (green (n1) (n3)) (green (n3) (n6)) (green (n1) (n6)) (-. (goal)) ### All 697 % 1.97/2.17 699. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n6)) (green (n3) (n6)) (green (n1) (n3)) ### All 698 % 1.97/2.17 700. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n3) (n6)) (green (n1) (n6)) (-. (goal)) ### All 699 % 1.97/2.17 701. (less_than (n3) (n6)) (green (n1) (n6)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 650 700 % 1.97/2.17 702. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n1) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 692 693 701 % 1.97/2.17 703. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n1) (n6)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 702 % 1.97/2.17 704. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (green (n1) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 703 % 1.97/2.17 705. (less_than (n1) (n6)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 56 704 % 1.97/2.17 706. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n1) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 690 691 705 % 1.97/2.17 707. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 706 % 1.97/2.17 708. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n1) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 707 % 1.97/2.17 709. (green (n4) (n5)) (green (n1) (n4)) (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 708 250 % 1.97/2.17 710. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 688 689 709 % 1.97/2.17 711. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n3) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 710 % 1.97/2.17 712. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 711 % 1.97/2.17 713. (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 712 595 % 1.97/2.17 714. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 686 687 713 % 1.97/2.17 715. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (less_than (n5) (n6)) (green (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 714 % 1.97/2.17 716. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 715 % 1.97/2.17 717. (less_than (n1) (n4)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n1) (n3)) (less_than (n1) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 685 716 % 1.97/2.17 718. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (green (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 639 640 717 % 1.97/2.17 719. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n1) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 718 % 1.97/2.17 720. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (green (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 719 % 1.97/2.17 721. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (green (n2) (n3)) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 638 720 % 1.97/2.17 722. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n5) (n6)) (less_than (n5) (n6)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 613 614 721 % 1.97/2.17 723. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (green (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 722 % 1.97/2.17 724. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n3)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n5) (n6)) (less_than (n5) (n6)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 723 % 1.97/2.17 725. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (red (n1) (n2)) (green (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 724 % 1.97/2.17 726. (-. (goal)) (red (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n3)) (red (n1) (n2)) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n5) (n6)) (less_than (n5) (n6)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 725 % 1.97/2.17 727. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (red (n1) (n2)) (green (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n3) (n4)) (-. (goal)) ### All 726 % 1.97/2.17 728. (-. (goal)) (red (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n3)) (red (n1) (n2)) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 727 % 1.97/2.17 729. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (red (n1) (n2)) (green (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) ### All 728 % 1.97/2.17 730. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.17 731. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.17 732. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.17 733. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.17 734. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.17 735. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 736. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 737. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 738. (less_than (n2) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 196 228 % 1.97/2.18 739. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 736 737 738 % 1.97/2.18 740. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 739 % 1.97/2.18 741. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 740 % 1.97/2.18 742. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.18 743. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 744. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 745. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 746. (green (n4) (n5)) (-. (green (n4) (n5))) ### Axiom % 1.97/2.18 747. (green (n5) (n6)) (-. (green (n5) (n6))) ### Axiom % 1.97/2.18 748. (green (n4) (n6)) (-. (green (n4) (n6))) ### Axiom % 1.97/2.18 749. (((green (n4) (n5)) /\ ((green (n5) (n6)) /\ (green (n4) (n6)))) => (goal)) (-. (goal)) (green (n4) (n6)) (green (n5) (n6)) (green (n4) (n5)) ### DisjTree 746 747 748 6 % 1.97/2.18 750. (All C, (((green (n4) (n5)) /\ ((green (n5) C) /\ (green (n4) C))) => (goal))) (green (n4) (n5)) (green (n5) (n6)) (green (n4) (n6)) (-. (goal)) ### All 749 % 1.97/2.18 751. (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (green (n4) (n6)) (green (n5) (n6)) (green (n4) (n5)) ### All 750 % 1.97/2.18 752. (less_than (n4) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 377 751 % 1.97/2.18 753. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 744 745 752 % 1.97/2.18 754. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 753 % 1.97/2.18 755. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 754 % 1.97/2.18 756. (less_than (n1) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 755 393 % 1.97/2.18 757. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 742 743 756 % 1.97/2.18 758. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 757 % 1.97/2.18 759. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 758 % 1.97/2.18 760. (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 741 759 % 1.97/2.18 761. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 734 735 760 % 1.97/2.18 762. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 761 % 1.97/2.18 763. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 762 % 1.97/2.18 764. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 763 % 1.97/2.18 765. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 766. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 767. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 768. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 769. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 770. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 771. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 772. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 773. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 774. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 775. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.18 776. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.18 777. (red (n2) (n4)) (-. (red (n2) (n4))) ### Axiom % 1.97/2.18 778. (red (n4) (n6)) (-. (red (n4) (n6))) ### Axiom % 1.97/2.18 779. (red (n2) (n6)) (-. (red (n2) (n6))) ### Axiom % 1.97/2.18 780. (((red (n2) (n4)) /\ ((red (n4) (n6)) /\ (red (n2) (n6)))) => (goal)) (-. (goal)) (red (n2) (n6)) (red (n4) (n6)) (red (n2) (n4)) ### DisjTree 777 778 779 6 % 1.97/2.18 781. (All C, (((red (n2) (n4)) /\ ((red (n4) C) /\ (red (n2) C))) => (goal))) (red (n2) (n4)) (red (n4) (n6)) (red (n2) (n6)) (-. (goal)) ### All 780 % 1.97/2.18 782. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n6)) (red (n4) (n6)) (red (n2) (n4)) ### All 781 % 1.97/2.18 783. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (red (n2) (n6)) (-. (goal)) ### All 782 % 1.97/2.18 784. (less_than (n2) (n6)) (green (n2) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 783 131 % 1.97/2.18 785. (((less_than (n2) (n4)) /\ (less_than (n4) (n6))) => (less_than (n2) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n5) (n6)) (green (n2) (n5)) (less_than (n4) (n6)) (less_than (n2) (n4)) ### DisjTree 775 776 784 % 1.97/2.18 786. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n6)) (green (n2) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 785 % 1.97/2.18 787. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n5) (n6)) (green (n2) (n5)) (less_than (n4) (n6)) (less_than (n2) (n4)) ### All 786 % 1.97/2.18 788. (green (n4) (n5)) (All C, (((green (n4) (n5)) /\ ((green (n5) C) /\ (green (n4) C))) => (goal))) (less_than (n2) (n4)) (less_than (n4) (n6)) (green (n2) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 787 750 % 1.97/2.18 789. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n5) (n6)) (green (n2) (n5)) (less_than (n2) (n4)) (All C, (((green (n4) (n5)) /\ ((green (n5) C) /\ (green (n4) C))) => (goal))) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 773 774 788 % 1.97/2.18 790. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (All C, (((green (n4) (n5)) /\ ((green (n5) C) /\ (green (n4) C))) => (goal))) (less_than (n2) (n4)) (green (n2) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 789 % 1.97/2.18 791. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n5) (n6)) (green (n2) (n5)) (less_than (n2) (n4)) (All C, (((green (n4) (n5)) /\ ((green (n5) C) /\ (green (n4) C))) => (goal))) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 790 % 1.97/2.18 792. (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n2) (n4)) (green (n2) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 791 % 1.97/2.18 793. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (green (n5) (n6)) (green (n2) (n5)) (less_than (n2) (n4)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) ### All 792 % 1.97/2.18 794. (less_than (n2) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n2) (n4)) (green (n5) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 125 793 % 1.97/2.18 795. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (green (n5) (n6)) (less_than (n2) (n4)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 771 772 794 % 1.97/2.18 796. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n2) (n4)) (green (n5) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 795 % 1.97/2.18 797. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (green (n5) (n6)) (less_than (n2) (n4)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 796 % 1.97/2.18 798. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 799. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 800. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 798 799 225 % 1.97/2.18 801. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 800 % 1.97/2.18 802. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 801 % 1.97/2.18 803. (less_than (n2) (n3)) (less_than (n3) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n2) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 797 802 % 1.97/2.18 804. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n3) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 769 770 803 % 1.97/2.18 805. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n3) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (red (n1) (n5)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 804 % 1.97/2.18 806. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n5)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n3) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 805 % 1.97/2.18 807. (less_than (n1) (n5)) (green (n1) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n3) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 806 250 % 1.97/2.18 808. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n1) (n4)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 767 768 807 % 1.97/2.18 809. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n1) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 808 % 1.97/2.18 810. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n1) (n4)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 809 % 1.97/2.18 811. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (less_than (n1) (n3)) (green (n1) (n4)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 765 766 810 % 1.97/2.18 812. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (green (n1) (n4)) (less_than (n1) (n3)) ### All 811 % 1.97/2.18 813. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n3)) (green (n1) (n4)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 812 % 1.97/2.18 814. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n4)) (less_than (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 813 % 1.97/2.18 815. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n3)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### Extension/test/partition 764 814 % 1.97/2.18 816. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 732 733 815 % 1.97/2.18 817. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 816 % 1.97/2.18 818. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 730 731 817 % 1.97/2.18 819. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 818 % 1.97/2.18 820. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) ### All 819 % 1.97/2.18 821. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 820 % 1.97/2.18 822. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 821 % 1.97/2.18 823. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 822 % 1.97/2.18 824. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 823 % 1.97/2.18 825. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 824 % 1.97/2.18 826. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n2)) (-. (goal)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 825 % 1.97/2.18 827. (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n2) (n3)) (red (n1) (n2)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 729 826 % 1.97/2.18 828. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (red (n3) (n4)) (-. (goal)) (less_than (n1) (n2)) (red (n1) (n2)) ### Extension/test/partition 612 827 % 1.97/2.18 829. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.18 830. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 831. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 832. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 833. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 834. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 835. (green (n2) (n3)) (-. (green (n2) (n3))) ### Axiom % 1.97/2.18 836. (green (n3) (n4)) (-. (green (n3) (n4))) ### Axiom % 1.97/2.18 837. (green (n2) (n4)) (-. (green (n2) (n4))) ### Axiom % 1.97/2.18 838. (((green (n2) (n3)) /\ ((green (n3) (n4)) /\ (green (n2) (n4)))) => (goal)) (-. (goal)) (green (n2) (n4)) (green (n3) (n4)) (green (n2) (n3)) ### DisjTree 835 836 837 6 % 1.97/2.18 839. (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (green (n2) (n3)) (green (n3) (n4)) (green (n2) (n4)) (-. (goal)) ### All 838 % 1.97/2.18 840. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (green (n2) (n4)) (green (n3) (n4)) (green (n2) (n3)) ### All 839 % 1.97/2.18 841. (less_than (n2) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### Extension/test/partition 196 840 % 1.97/2.18 842. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 833 834 841 % 1.97/2.18 843. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) ### All 842 % 1.97/2.18 844. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (red (n1) (n2)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 843 % 1.97/2.18 845. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 844 % 1.97/2.18 846. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 847. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 848. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.18 849. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.18 850. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 851. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 852. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 853. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.18 854. (less_than (n3) (n6)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 566 316 % 1.97/2.18 855. (((less_than (n3) (n4)) /\ (less_than (n4) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n4) (n6)) (less_than (n3) (n4)) ### DisjTree 852 853 854 % 1.97/2.18 856. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n6)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 855 % 1.97/2.18 857. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 850 851 856 % 1.97/2.18 858. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 857 % 1.97/2.18 859. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) ### All 858 % 1.97/2.18 860. (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 859 % 1.97/2.18 861. (less_than (n1) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 860 76 % 1.97/2.18 862. (((less_than (n1) (n4)) /\ (less_than (n4) (n6))) => (less_than (n1) (n6))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n4) (n6)) (less_than (n1) (n4)) ### DisjTree 848 849 861 % 1.97/2.18 863. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n6)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 862 % 1.97/2.18 864. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n4) (n6)) (less_than (n1) (n4)) ### All 863 % 1.97/2.18 865. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (less_than (n1) (n4)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 846 847 864 % 1.97/2.18 866. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n1) (n4)) ### All 865 % 1.97/2.18 867. (less_than (n1) (n4)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 866 % 1.97/2.18 868. (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (less_than (n1) (n4)) ### All 867 % 1.97/2.18 869. (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 845 868 % 1.97/2.18 870. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 831 832 869 % 1.97/2.18 871. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 870 % 1.97/2.18 872. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 871 % 1.97/2.18 873. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 874. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 875. (less_than (n1) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 845 330 % 1.97/2.18 876. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 873 874 875 % 1.97/2.18 877. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 876 % 1.97/2.18 878. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 877 % 1.97/2.18 879. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 872 878 % 1.97/2.18 880. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 829 830 879 % 1.97/2.18 881. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 880 % 1.97/2.18 882. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 881 % 1.97/2.18 883. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 882 % 1.97/2.18 884. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 883 % 1.97/2.18 885. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 884 % 1.97/2.18 886. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n4) (n5)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 885 % 1.97/2.18 887. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 886 % 1.97/2.18 888. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (less_than (n4) (n5)) (less_than (n5) (n6)) (red (n4) (n5)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 887 % 1.97/2.18 889. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.18 890. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 891. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 892. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 893. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 894. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 895. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.18 896. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 897. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 898. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 899. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 900. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 901. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 902. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 903. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 904. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 905. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 906. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.18 907. (less_than (n2) (n6)) (green (n3) (n6)) (green (n2) (n3)) (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 783 661 % 1.97/2.18 908. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (green (n2) (n3)) (green (n3) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 905 906 907 % 1.97/2.18 909. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n3) (n6)) (green (n2) (n3)) (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 908 % 1.97/2.18 910. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All C, (((green (n2) (n3)) /\ ((green (n3) C) /\ (green (n2) C))) => (goal))) (green (n2) (n3)) (green (n3) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 909 % 1.97/2.18 911. (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n3) (n6)) (green (n2) (n3)) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 910 % 1.97/2.18 912. (less_than (n4) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (green (n2) (n3)) (green (n3) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) ### Extension/test/partition 911 312 % 1.97/2.18 913. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n3) (n6)) (green (n2) (n3)) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 903 904 912 % 1.97/2.18 914. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (green (n2) (n3)) (green (n3) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) ### All 913 % 1.97/2.18 915. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n3) (n6)) (green (n2) (n3)) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 914 % 1.97/2.18 916. (less_than (n2) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n2) (n3)) (green (n3) (n6)) (less_than (n3) (n6)) (less_than (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 915 840 % 1.97/2.18 917. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n3) (n6)) (green (n3) (n6)) (green (n2) (n3)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 901 902 916 % 1.97/2.18 918. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n2) (n3)) (green (n3) (n6)) (less_than (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 917 % 1.97/2.18 919. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n3) (n6)) (green (n3) (n6)) (green (n2) (n3)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 918 % 1.97/2.18 920. (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (less_than (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 566 919 % 1.97/2.18 921. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 899 900 920 % 1.97/2.18 922. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 921 % 1.97/2.18 923. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 897 898 922 % 1.97/2.18 924. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 923 % 1.97/2.18 925. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) ### All 924 % 1.97/2.18 926. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 925 % 1.97/2.18 927. (less_than (n1) (n6)) (green (n5) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 926 393 % 1.97/2.18 928. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 895 896 927 % 1.97/2.18 929. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 928 % 1.97/2.18 930. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 929 % 1.97/2.18 931. (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 930 % 1.97/2.18 932. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 448 931 % 1.97/2.18 933. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 893 894 932 % 1.97/2.18 934. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 933 % 1.97/2.18 935. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 934 % 1.97/2.18 936. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 937. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 938. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 555 931 % 1.97/2.18 939. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 936 937 938 % 1.97/2.18 940. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n5)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 939 % 1.97/2.18 941. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n5)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 940 % 1.97/2.18 942. (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 935 941 % 1.97/2.18 943. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n1) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 891 892 942 % 1.97/2.18 944. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (less_than (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 943 % 1.97/2.18 945. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n1) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 944 % 1.97/2.18 946. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (less_than (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 945 % 1.97/2.18 947. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n1) (n3)) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 946 878 % 1.97/2.18 948. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 889 890 947 % 1.97/2.18 949. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 948 % 1.97/2.18 950. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 949 % 1.97/2.18 951. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n2)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 950 % 1.97/2.18 952. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (red (n1) (n2)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (green (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 951 % 1.97/2.18 953. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n1) (n2)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 952 % 1.97/2.18 954. (less_than (n3) (n4)) (less_than (n4) (n5)) (red (n1) (n2)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 953 % 1.97/2.18 955. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 954 % 1.97/2.18 956. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 888 955 % 1.97/2.18 957. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.18 958. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 959. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 960. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 961. (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 845 457 % 1.97/2.18 962. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (green (n4) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 959 960 961 % 1.97/2.18 963. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (green (n4) (n5)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 962 % 1.97/2.18 964. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (green (n4) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 963 % 1.97/2.18 965. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 964 878 % 1.97/2.18 966. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 957 958 965 % 1.97/2.18 967. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 966 % 1.97/2.18 968. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (All B, (All C, (((red (n1) B) /\ ((red B C) /\ (red (n1) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 967 % 1.97/2.18 969. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 968 % 1.97/2.18 970. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 969 % 1.97/2.18 971. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n4) (n5)) (less_than (n4) (n5)) (-. (goal)) (red (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 970 % 1.97/2.18 972. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (less_than (n4) (n5)) (green (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 971 % 1.97/2.18 973. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (red (n1) (n2)) (-. (goal)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 956 972 % 1.97/2.18 974. (red (n1) (n2)) (less_than (n1) (n2)) (-. (goal)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 828 973 % 1.97/2.18 975. (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n2)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 478 974 % 1.97/2.18 976. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.18 977. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 978. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 979. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 980. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (red (n1) (n4)) (-. (goal)) ### All 622 % 1.97/2.18 981. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 982. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 983. (green (n1) (n2)) (-. (green (n1) (n2))) ### Axiom % 1.97/2.18 984. (green (n2) (n4)) (-. (green (n2) (n4))) ### Axiom % 1.97/2.18 985. (green (n1) (n4)) (-. (green (n1) (n4))) ### Axiom % 1.97/2.18 986. (((green (n1) (n2)) /\ ((green (n2) (n4)) /\ (green (n1) (n4)))) => (goal)) (-. (goal)) (green (n1) (n4)) (green (n2) (n4)) (green (n1) (n2)) ### DisjTree 983 984 985 6 % 1.97/2.18 987. (All C, (((green (n1) (n2)) /\ ((green (n2) C) /\ (green (n1) C))) => (goal))) (green (n1) (n2)) (green (n2) (n4)) (green (n1) (n4)) (-. (goal)) ### All 986 % 1.97/2.18 988. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n4)) (green (n2) (n4)) (green (n1) (n2)) ### All 987 % 1.97/2.18 989. (less_than (n2) (n4)) (green (n1) (n2)) (green (n1) (n4)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 222 988 % 1.97/2.18 990. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 981 982 989 % 1.97/2.18 991. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (green (n1) (n4)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 990 % 1.97/2.18 992. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 991 % 1.97/2.18 993. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (green (n1) (n4)) (red (n2) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 992 % 1.97/2.18 994. (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 980 993 % 1.97/2.18 995. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 978 979 994 % 1.97/2.18 996. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 995 % 1.97/2.18 997. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 996 % 1.97/2.18 998. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 999. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 1000. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 1001. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 1002. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.18 1003. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 1004. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.18 1005. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.18 1006. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.18 1007. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.18 1008. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 1009. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.18 1010. (green (n1) (n2)) (-. (green (n1) (n2))) ### Axiom % 1.97/2.18 1011. (green (n2) (n6)) (-. (green (n2) (n6))) ### Axiom % 1.97/2.18 1012. (green (n1) (n6)) (-. (green (n1) (n6))) ### Axiom % 1.97/2.18 1013. (((green (n1) (n2)) /\ ((green (n2) (n6)) /\ (green (n1) (n6)))) => (goal)) (-. (goal)) (green (n1) (n6)) (green (n2) (n6)) (green (n1) (n2)) ### DisjTree 1010 1011 1012 6 % 1.97/2.18 1014. (All C, (((green (n1) (n2)) /\ ((green (n2) C) /\ (green (n1) C))) => (goal))) (green (n1) (n2)) (green (n2) (n6)) (green (n1) (n6)) (-. (goal)) ### All 1013 % 1.97/2.18 1015. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n6)) (green (n2) (n6)) (green (n1) (n2)) ### All 1014 % 1.97/2.18 1016. (less_than (n2) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 117 1015 % 1.97/2.18 1017. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 1008 1009 1016 % 1.97/2.18 1018. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1017 % 1.97/2.18 1019. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n6)) (red (n2) (n3)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 1018 % 1.97/2.18 1020. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n1) (n2)) (green (n1) (n6)) (red (n2) (n3)) (red (n3) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1019 % 1.97/2.18 1021. (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (green (n1) (n6)) (green (n1) (n2)) (less_than (n3) (n6)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### Extension/test/partition 1020 700 % 1.97/2.18 1022. (((less_than (n3) (n4)) /\ (less_than (n4) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n6)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n6)) (less_than (n3) (n4)) ### DisjTree 1006 1007 1021 % 1.97/2.18 1023. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n6)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 1022 % 1.97/2.18 1024. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n6)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 1004 1005 1023 % 1.97/2.18 1025. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) ### All 1024 % 1.97/2.18 1026. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n6)) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) ### All 1025 % 1.97/2.18 1027. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1026 % 1.97/2.18 1028. (less_than (n1) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n1) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 57 1027 % 1.97/2.18 1029. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1002 1003 1028 % 1.97/2.18 1030. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n1) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1029 % 1.97/2.18 1031. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1030 % 1.97/2.18 1032. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.18 1033. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 1034. (green (n1) (n2)) (-. (green (n1) (n2))) ### Axiom % 1.97/2.18 1035. (green (n2) (n5)) (-. (green (n2) (n5))) ### Axiom % 1.97/2.18 1036. (green (n1) (n5)) (-. (green (n1) (n5))) ### Axiom % 1.97/2.18 1037. (((green (n1) (n2)) /\ ((green (n2) (n5)) /\ (green (n1) (n5)))) => (goal)) (-. (goal)) (green (n1) (n5)) (green (n2) (n5)) (green (n1) (n2)) ### DisjTree 1034 1035 1036 6 % 1.97/2.18 1038. (All C, (((green (n1) (n2)) /\ ((green (n2) C) /\ (green (n1) C))) => (goal))) (green (n1) (n2)) (green (n2) (n5)) (green (n1) (n5)) (-. (goal)) ### All 1037 % 1.97/2.18 1039. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n5)) (green (n2) (n5)) (green (n1) (n2)) ### All 1038 % 1.97/2.18 1040. (less_than (n2) (n5)) (green (n1) (n2)) (green (n1) (n5)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 188 1039 % 1.97/2.18 1041. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n5)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 1032 1033 1040 % 1.97/2.18 1042. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n1) (n2)) (green (n1) (n5)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1041 % 1.97/2.18 1043. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n5)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 1042 % 1.97/2.18 1044. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n1) (n2)) (green (n1) (n5)) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1043 % 1.97/2.18 1045. (red (n3) (n5)) (less_than (n3) (n5)) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1031 1044 % 1.97/2.18 1046. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (red (n3) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1000 1001 1045 % 1.97/2.18 1047. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (red (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1046 % 1.97/2.18 1048. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (red (n3) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1047 % 1.97/2.18 1049. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.18 1050. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.18 1051. (green (n3) (n5)) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1031 36 % 1.97/2.18 1052. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (green (n3) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1049 1050 1051 % 1.97/2.18 1053. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1052 % 1.97/2.18 1054. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (green (n3) (n5)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1053 % 1.97/2.18 1055. (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1048 1054 % 1.97/2.19 1056. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 998 999 1055 % 1.97/2.19 1057. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1056 % 1.97/2.19 1058. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1057 % 1.97/2.19 1059. (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 997 1058 % 1.97/2.19 1060. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 976 977 1059 % 1.97/2.19 1061. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1060 % 1.97/2.19 1062. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1061 % 1.97/2.19 1063. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1062 % 1.97/2.19 1064. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (less_than (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1063 % 1.97/2.19 1065. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (less_than (n3) (n4)) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1064 % 1.97/2.19 1066. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (less_than (n3) (n4)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1065 % 1.97/2.19 1067. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (less_than (n3) (n4)) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1066 % 1.97/2.19 1068. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.19 1069. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.19 1070. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1071. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1072. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1073. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1074. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.19 1075. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1076. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.19 1077. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1078. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.19 1079. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1080. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1081. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1082. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.19 1083. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.19 1084. (less_than (n2) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 783 1015 % 1.97/2.19 1085. (((less_than (n2) (n4)) /\ (less_than (n4) (n6))) => (less_than (n2) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n4) (n6)) (less_than (n2) (n4)) ### DisjTree 1082 1083 1084 % 1.97/2.19 1086. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1085 % 1.97/2.19 1087. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n4) (n6)) (less_than (n2) (n4)) ### All 1086 % 1.97/2.19 1088. (green (n1) (n4)) (less_than (n2) (n4)) (less_than (n4) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 1087 71 % 1.97/2.19 1089. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n4)) (green (n1) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 1080 1081 1088 % 1.97/2.19 1090. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (less_than (n2) (n4)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1089 % 1.97/2.19 1091. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n4)) (green (n1) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1090 % 1.97/2.19 1092. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (less_than (n2) (n4)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 1091 988 % 1.97/2.19 1093. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (green (n1) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 1078 1079 1092 % 1.97/2.19 1094. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1093 % 1.97/2.19 1095. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (green (n1) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 1094 % 1.97/2.19 1096. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n1) (n2)) (green (n1) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1095 % 1.97/2.19 1097. (less_than (n1) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 570 1096 % 1.97/2.19 1098. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1076 1077 1097 % 1.97/2.19 1099. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1098 % 1.97/2.19 1100. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1074 1075 1099 % 1.97/2.19 1101. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1100 % 1.97/2.19 1102. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) ### All 1101 % 1.97/2.19 1103. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1102 % 1.97/2.19 1104. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 1103 % 1.97/2.19 1105. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n1) (n4)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1072 1073 1104 % 1.97/2.19 1106. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n4)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 1105 % 1.97/2.19 1107. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n1) (n4)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1106 % 1.97/2.19 1108. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n4)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 980 1107 % 1.97/2.19 1109. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1070 1071 1108 % 1.97/2.19 1110. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1109 % 1.97/2.19 1111. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1110 % 1.97/2.19 1112. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1113. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1114. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1115. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1116. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.19 1117. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1118. (less_than (n1) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n3) (n5)) (red (n2) (n3)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 29 1044 % 1.97/2.19 1119. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n1) (n2)) (red (n2) (n3)) (red (n3) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1116 1117 1118 % 1.97/2.19 1120. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n3) (n5)) (red (n2) (n3)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1119 % 1.97/2.19 1121. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n1) (n2)) (red (n2) (n3)) (red (n3) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1120 % 1.97/2.19 1122. (green (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1121 40 % 1.97/2.19 1123. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1114 1115 1122 % 1.97/2.19 1124. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1123 % 1.97/2.19 1125. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (green (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1124 % 1.97/2.19 1126. (red (n3) (n4)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1125 993 % 1.97/2.19 1127. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (red (n3) (n4)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1112 1113 1126 % 1.97/2.19 1128. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (red (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1127 % 1.97/2.19 1129. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (red (n3) (n4)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1128 % 1.97/2.19 1130. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1111 1129 % 1.97/2.19 1131. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1068 1069 1130 % 1.97/2.19 1132. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1131 % 1.97/2.19 1133. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1132 % 1.97/2.19 1134. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1133 % 1.97/2.19 1135. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1134 % 1.97/2.19 1136. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1135 % 1.97/2.19 1137. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (red (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1136 % 1.97/2.19 1138. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (red (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1137 % 1.97/2.19 1139. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (red (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1138 % 1.97/2.19 1140. (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1067 1139 % 1.97/2.19 1141. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.19 1142. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.19 1143. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1144. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1145. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1146. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1147. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 452 1103 % 1.97/2.19 1148. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n1) (n4)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1145 1146 1147 % 1.97/2.19 1149. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n4)) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1148 % 1.97/2.19 1150. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n1) (n4)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1149 % 1.97/2.19 1151. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n1) (n4)) (less_than (n1) (n3)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 980 1150 % 1.97/2.19 1152. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1143 1144 1151 % 1.97/2.19 1153. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1152 % 1.97/2.19 1154. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1153 % 1.97/2.19 1155. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1156. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1157. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1158. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1159. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.19 1160. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.19 1161. (less_than (n1) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 755 1027 % 1.97/2.19 1162. (((less_than (n1) (n4)) /\ (less_than (n4) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n6)) (less_than (n1) (n4)) ### DisjTree 1159 1160 1161 % 1.97/2.19 1163. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1162 % 1.97/2.19 1164. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n6)) (less_than (n1) (n4)) ### All 1163 % 1.97/2.19 1165. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 1157 1158 1164 % 1.97/2.19 1166. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) ### All 1165 % 1.97/2.19 1167. (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1166 % 1.97/2.19 1168. (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (green (n5) (n6)) (green (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) ### All 1167 % 1.97/2.19 1169. (red (n3) (n4)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (green (n4) (n5)) (green (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 1168 993 % 1.97/2.19 1170. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n5) (n6)) (green (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n3) (n4)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1155 1156 1169 % 1.97/2.19 1171. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (red (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (green (n4) (n5)) (green (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1170 % 1.97/2.19 1172. (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n5) (n6)) (green (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n3) (n4)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1171 % 1.97/2.19 1173. (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1154 1172 % 1.97/2.19 1174. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1141 1142 1173 % 1.97/2.19 1175. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1174 % 1.97/2.19 1176. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1175 % 1.97/2.19 1177. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1176 % 1.97/2.19 1178. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1177 % 1.97/2.19 1179. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1178 % 1.97/2.19 1180. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1179 % 1.97/2.19 1181. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1180 % 1.97/2.19 1182. (green (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1067 1181 % 1.97/2.19 1183. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1140 1182 % 1.97/2.19 1184. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.19 1185. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.19 1186. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1187. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1188. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.19 1189. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1190. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.19 1191. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1192. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1193. (less_than (n2) (n5)) (-. (less_than (n2) (n5))) ### Axiom % 1.97/2.19 1194. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1195. (less_than (n2) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n2) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 656 1015 % 1.97/2.19 1196. (((less_than (n2) (n5)) /\ (less_than (n5) (n6))) => (less_than (n2) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n2) (n5)) ### DisjTree 1193 1194 1195 % 1.97/2.19 1197. (All C, (((less_than (n2) (n5)) /\ (less_than (n5) C)) => (less_than (n2) C))) (less_than (n2) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (red (n2) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1196 % 1.97/2.19 1198. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n2) (n5)) ### All 1197 % 1.97/2.19 1199. (green (n1) (n5)) (less_than (n2) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 1198 1039 % 1.97/2.19 1200. (((less_than (n2) (n4)) /\ (less_than (n4) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) ### DisjTree 181 1192 1199 % 1.97/2.19 1201. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1200 % 1.97/2.19 1202. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) ### All 1201 % 1.97/2.19 1203. (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1202 % 1.97/2.19 1204. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 1203 % 1.97/2.19 1205. (less_than (n1) (n6)) (less_than (n2) (n3)) (green (n1) (n5)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 860 1204 % 1.97/2.19 1206. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n5)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1190 1191 1205 % 1.97/2.19 1207. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n5)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n4) (n5)) ### All 1206 % 1.97/2.19 1208. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n5)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1207 % 1.97/2.19 1209. (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 29 1208 % 1.97/2.19 1210. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1188 1189 1209 % 1.97/2.19 1211. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1210 % 1.97/2.19 1212. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1211 % 1.97/2.19 1213. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (green (n3) (n4)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1212 % 1.97/2.19 1214. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.19 1215. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1216. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.19 1217. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1218. (less_than (n1) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 860 1096 % 1.97/2.19 1219. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1216 1217 1218 % 1.97/2.19 1220. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n4) (n5)) ### All 1219 % 1.97/2.19 1221. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1214 1215 1220 % 1.97/2.19 1222. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) ### All 1221 % 1.97/2.19 1223. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) ### All 1222 % 1.97/2.19 1224. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n1) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1223 % 1.97/2.19 1225. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (red (n4) (n5)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1224 % 1.97/2.19 1226. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (green (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### Extension/test/partition 1213 1225 % 1.97/2.19 1227. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1186 1187 1226 % 1.97/2.19 1228. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1227 % 1.97/2.19 1229. (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1228 % 1.97/2.19 1230. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1231. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1232. (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1125 330 % 1.97/2.19 1233. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1230 1231 1232 % 1.97/2.19 1234. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (green (n3) (n4)) (less_than (n4) (n5)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1233 % 1.97/2.19 1235. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1234 % 1.97/2.19 1236. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n1) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 1229 1235 % 1.97/2.19 1237. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1184 1185 1236 % 1.97/2.19 1238. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1237 % 1.97/2.19 1239. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1238 % 1.97/2.19 1240. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1239 % 1.97/2.19 1241. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (red (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1240 % 1.97/2.19 1242. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (red (n5) (n6)) (All B, (All C, (((red (n4) B) /\ ((red B C) /\ (red (n4) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1241 % 1.97/2.19 1243. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1242 % 1.97/2.19 1244. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1243 % 1.97/2.19 1245. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n3) (n4)) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1244 % 1.97/2.19 1246. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.19 1247. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.19 1248. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1249. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1250. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1251. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1252. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.19 1253. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.19 1254. (less_than (n1) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 29 574 % 1.97/2.19 1255. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1252 1253 1254 % 1.97/2.19 1256. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1255 % 1.97/2.19 1257. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1256 % 1.97/2.19 1258. (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1121 1257 % 1.97/2.19 1259. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1250 1251 1258 % 1.97/2.19 1260. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1259 % 1.97/2.19 1261. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1260 % 1.97/2.19 1262. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.19 1263. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1264. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.19 1265. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1266. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (less_than (n3) (n5))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 277 % 1.97/2.19 1267. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1268. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.19 1269. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.19 1270. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.19 1271. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1272. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.19 1273. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.19 1274. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.19 1275. (less_than (n4) (n6)) (-. (less_than (n4) (n6))) ### Axiom % 1.97/2.19 1276. (less_than (n2) (n6)) (green (n5) (n6)) (green (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 782 132 % 1.97/2.19 1277. (((less_than (n2) (n4)) /\ (less_than (n4) (n6))) => (less_than (n2) (n6))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (less_than (n4) (n6)) (less_than (n2) (n4)) ### DisjTree 1274 1275 1276 % 1.97/2.19 1278. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n6)) (green (n5) (n6)) (green (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1277 % 1.97/2.19 1279. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (less_than (n4) (n6)) (less_than (n2) (n4)) ### All 1278 % 1.97/2.19 1280. (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n2) (n4)) (less_than (n4) (n6)) (green (n5) (n6)) (green (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 1279 312 % 1.97/2.19 1281. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (less_than (n2) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 1272 1273 1280 % 1.97/2.19 1282. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n2) (n4)) (green (n5) (n6)) (green (n2) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1281 % 1.97/2.19 1283. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n5)) (green (n5) (n6)) (less_than (n2) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1282 % 1.97/2.19 1284. (less_than (n2) (n5)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n2) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n2) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 492 1283 % 1.97/2.19 1285. (((less_than (n2) (n4)) /\ (less_than (n4) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n2) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n4)) ### DisjTree 1270 1271 1284 % 1.97/2.19 1286. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n2) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1285 % 1.97/2.19 1287. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n2) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n4)) ### All 1286 % 1.97/2.19 1288. (green (n1) (n2)) (green (n1) (n4)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (less_than (n2) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 1287 988 % 1.97/2.19 1289. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 1268 1269 1288 % 1.97/2.19 1290. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (green (n1) (n4)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1289 % 1.97/2.19 1291. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n6)) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 1290 % 1.97/2.19 1292. (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (green (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (green (n3) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1291 % 1.97/2.19 1293. (less_than (n3) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n1) (n4)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 566 1292 % 1.97/2.19 1294. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### DisjTree 1266 1267 1293 % 1.97/2.19 1295. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1294 % 1.97/2.19 1296. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1295 % 1.97/2.19 1297. (less_than (n1) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1296 1096 % 1.97/2.19 1298. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1264 1265 1297 % 1.97/2.19 1299. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1298 % 1.97/2.19 1300. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1262 1263 1299 % 1.97/2.19 1301. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1300 % 1.97/2.19 1302. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n4)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) ### All 1301 % 1.97/2.19 1303. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n4)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n4) (n5)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (green (n1) (n4)) (green (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1302 % 1.97/2.19 1304. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n4)) (green (n3) (n4)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (less_than (n3) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1303 % 1.97/2.19 1305. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1261 1304 % 1.97/2.19 1306. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1248 1249 1305 % 1.97/2.19 1307. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1306 % 1.97/2.19 1308. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1307 % 1.97/2.19 1309. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1308 1235 % 1.97/2.19 1310. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1246 1247 1309 % 1.97/2.19 1311. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1310 % 1.97/2.20 1312. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1311 % 1.97/2.20 1313. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1312 % 1.97/2.20 1314. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1313 % 1.97/2.20 1315. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1314 % 1.97/2.20 1316. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1315 % 1.97/2.20 1317. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1316 % 1.97/2.20 1318. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (red (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 1245 1317 % 1.97/2.20 1319. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1320. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1321. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1322. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1323. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1324. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1325. (less_than (n1) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 448 1044 % 1.97/2.20 1326. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1323 1324 1325 % 1.97/2.20 1327. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1326 % 1.97/2.20 1328. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1327 % 1.97/2.20 1329. (green (n3) (n4)) (green (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 1328 432 % 1.97/2.20 1330. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1321 1322 1329 % 1.97/2.20 1331. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1330 % 1.97/2.20 1332. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1331 % 1.97/2.20 1333. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1332 % 1.97/2.20 1334. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1335. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1336. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1337. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1338. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1339. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1340. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.20 1341. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1342. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1343. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1344. (less_than (n3) (n6)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n6)) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 651 381 % 1.97/2.20 1345. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (red (n1) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 1342 1343 1344 % 1.97/2.20 1346. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n6)) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1345 % 1.97/2.20 1347. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (red (n1) (n6)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 1346 % 1.97/2.20 1348. (less_than (n1) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1347 1027 % 1.97/2.20 1349. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1340 1341 1348 % 1.97/2.20 1350. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1349 % 1.97/2.20 1351. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1338 1339 1350 % 1.97/2.20 1352. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1351 % 1.97/2.20 1353. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n5)) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) ### All 1352 % 1.97/2.20 1354. (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (red (n3) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1353 % 1.97/2.20 1355. (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### Extension/test/partition 1354 432 % 1.97/2.20 1356. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (less_than (n1) (n3)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1336 1337 1355 % 1.97/2.20 1357. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n1) (n3)) ### All 1356 % 1.97/2.20 1358. (less_than (n1) (n3)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1357 % 1.97/2.20 1359. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n4)) (green (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n1) (n3)) ### All 1358 % 1.97/2.20 1360. (less_than (n1) (n4)) (less_than (n1) (n3)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1359 330 % 1.97/2.20 1361. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n4) (n5)) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1334 1335 1360 % 1.97/2.20 1362. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n4) (n5)) (less_than (n4) (n5)) ### All 1361 % 1.97/2.20 1363. (less_than (n4) (n5)) (green (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n3) (n4)) (green (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1362 % 1.97/2.20 1364. (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (less_than (n1) (n3)) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1333 1363 % 1.97/2.20 1365. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1319 1320 1364 % 1.97/2.20 1366. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1365 % 1.97/2.20 1367. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1366 % 1.97/2.20 1368. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1367 % 1.97/2.20 1369. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1368 % 1.97/2.20 1370. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1369 % 1.97/2.20 1371. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1370 % 1.97/2.20 1372. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n5) (n6)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (green (n4) (n5)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1371 % 1.97/2.20 1373. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1374. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1375. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1376. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1377. (less_than (n2) (n4)) (-. (less_than (n2) (n4))) ### Axiom % 1.97/2.20 1378. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1379. (less_than (n2) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n2) (n4)) (green (n5) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 188 793 % 1.97/2.20 1380. (((less_than (n2) (n4)) /\ (less_than (n4) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n2) (n4)) ### DisjTree 1377 1378 1379 % 1.97/2.20 1381. (All C, (((less_than (n2) (n4)) /\ (less_than (n4) C)) => (less_than (n2) C))) (less_than (n2) (n4)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1380 % 1.97/2.20 1382. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n2) (n4)) ### All 1381 % 1.97/2.20 1383. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1384. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1385. (less_than (n2) (n5)) (green (n4) (n5)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 188 203 % 1.97/2.20 1386. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 1383 1384 1385 % 1.97/2.20 1387. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n2) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1386 % 1.97/2.20 1388. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n4)) (green (n4) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 1387 % 1.97/2.20 1389. (less_than (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n4)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 1382 1388 % 1.97/2.20 1390. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 1375 1376 1389 % 1.97/2.20 1391. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1390 % 1.97/2.20 1392. (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n3) (n5)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n3) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 1391 % 1.97/2.20 1393. (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n3) (n5)) (less_than (n4) (n5)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### Extension/test/partition 1392 432 % 1.97/2.20 1394. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1373 1374 1393 % 1.97/2.20 1395. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) ### All 1394 % 1.97/2.20 1396. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (-. (goal)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1395 % 1.97/2.20 1397. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((red (n2) B) /\ ((red B C) /\ (red (n2) C))) => (goal)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1396 % 1.97/2.20 1398. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1397 % 1.97/2.20 1399. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1398 % 1.97/2.20 1400. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (-. (goal)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1399 % 1.97/2.20 1401. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n2) (n3)) (-. (goal)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1400 % 1.97/2.20 1402. (-. (goal)) (red (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1401 % 1.97/2.20 1403. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (green (n4) (n5)) (red (n2) (n3)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1372 1402 % 1.97/2.20 1404. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (red (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1318 1403 % 1.97/2.20 1405. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n2) (n3)) (less_than (n3) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1183 1404 % 1.97/2.20 1406. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1407. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1408. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1409. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1410. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1411. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1412. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.20 1413. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1414. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1415. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1416. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1417. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1418. (less_than (n2) (n5)) (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n2) (n3)) (green (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 666 499 % 1.97/2.20 1419. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n6)) (green (n2) (n3)) (less_than (n3) (n6)) (green (n3) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 1416 1417 1418 % 1.97/2.20 1420. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n3) (n5)) (less_than (n3) (n6)) (green (n2) (n3)) (green (n3) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1419 % 1.97/2.20 1421. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n6)) (green (n2) (n3)) (less_than (n3) (n6)) (green (n3) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 1420 % 1.97/2.20 1422. (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n3) (n5)) (less_than (n3) (n6)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 566 1421 % 1.97/2.20 1423. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 1414 1415 1422 % 1.97/2.20 1424. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n6)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1423 % 1.97/2.20 1425. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 1424 % 1.97/2.20 1426. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1427. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1428. (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n2) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 1198 499 % 1.97/2.20 1429. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 1426 1427 1428 % 1.97/2.20 1430. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1429 % 1.97/2.20 1431. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n5)) (green (n2) (n3)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 1430 % 1.97/2.20 1432. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n2) (n3)) (green (n3) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1431 % 1.97/2.20 1433. (less_than (n1) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1425 1432 % 1.97/2.20 1434. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1412 1413 1433 % 1.97/2.20 1435. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1434 % 1.97/2.20 1436. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1435 % 1.97/2.20 1437. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1410 1411 1436 % 1.97/2.20 1438. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (green (n3) (n5)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) ### All 1437 % 1.97/2.20 1439. (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1438 % 1.97/2.20 1440. (less_than (n1) (n3)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### Extension/test/partition 20 1439 % 1.97/2.20 1441. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1408 1409 1440 % 1.97/2.20 1442. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 1441 % 1.97/2.20 1443. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1442 % 1.97/2.20 1444. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) ### All 1443 % 1.97/2.20 1445. (green (n1) (n2)) (-. (green (n1) (n2))) ### Axiom % 1.97/2.20 1446. (green (n2) (n3)) (-. (green (n2) (n3))) ### Axiom % 1.97/2.20 1447. (green (n1) (n3)) (-. (green (n1) (n3))) ### Axiom % 1.97/2.20 1448. (((green (n1) (n2)) /\ ((green (n2) (n3)) /\ (green (n1) (n3)))) => (goal)) (-. (goal)) (green (n1) (n3)) (green (n2) (n3)) (green (n1) (n2)) ### DisjTree 1445 1446 1447 6 % 1.97/2.20 1449. (All C, (((green (n1) (n2)) /\ ((green (n2) C) /\ (green (n1) C))) => (goal))) (green (n1) (n2)) (green (n2) (n3)) (green (n1) (n3)) (-. (goal)) ### All 1448 % 1.97/2.20 1450. (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (green (n1) (n3)) (green (n2) (n3)) (green (n1) (n2)) ### All 1449 % 1.97/2.20 1451. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (green (n2) (n3)) (green (n1) (n3)) (-. (goal)) ### All 1450 % 1.97/2.20 1452. (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n1) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1444 1451 % 1.97/2.20 1453. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1406 1407 1452 % 1.97/2.20 1454. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1453 % 1.97/2.20 1455. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1454 % 1.97/2.20 1456. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1455 % 1.97/2.20 1457. (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1456 % 1.97/2.20 1458. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1457 % 1.97/2.20 1459. (less_than (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (red (n4) (n5)) (-. (goal)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1458 % 1.97/2.20 1460. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1461. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1462. (green (n2) (n3)) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1111 1451 % 1.97/2.20 1463. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1460 1461 1462 % 1.97/2.20 1464. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1463 % 1.97/2.20 1465. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1464 % 1.97/2.20 1466. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (red (n4) (n5)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1465 % 1.97/2.20 1467. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((red (n3) B) /\ ((red B C) /\ (red (n3) C))) => (goal)))) (red (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1466 % 1.97/2.20 1468. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (red (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1467 % 1.97/2.20 1469. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (red (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1468 % 1.97/2.20 1470. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (red (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1469 % 1.97/2.20 1471. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (red (n4) (n5)) (red (n3) (n4)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1459 1470 % 1.97/2.20 1472. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1473. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1474. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1475. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1476. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1477. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1478. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.20 1479. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1480. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1478 1479 1436 % 1.97/2.20 1481. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (green (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) ### All 1480 % 1.97/2.20 1482. (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (green (n3) (n5)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1481 % 1.97/2.20 1483. (less_than (n1) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (less_than (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n1) (n3)) (less_than (n3) (n5)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### Extension/test/partition 452 1482 % 1.97/2.20 1484. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1476 1477 1483 % 1.97/2.20 1485. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (less_than (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1484 % 1.97/2.20 1486. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1485 % 1.97/2.20 1487. (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (less_than (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n4) (n5)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1486 % 1.97/2.20 1488. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 980 1487 % 1.97/2.20 1489. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (less_than (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1474 1475 1488 % 1.97/2.20 1490. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (-. (goal)) (red (n3) (n4)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1489 % 1.97/2.20 1491. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n4)) (-. (goal)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (less_than (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1490 % 1.97/2.20 1492. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1491 1451 % 1.97/2.20 1493. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1472 1473 1492 % 1.97/2.20 1494. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1493 % 1.97/2.20 1495. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (red (n5) (n6)) (green (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1494 % 1.97/2.20 1496. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n2) (n3)) (red (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1495 % 1.97/2.20 1497. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (less_than (n4) (n5)) (red (n5) (n6)) (green (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1496 % 1.97/2.20 1498. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n2) (n3)) (red (n5) (n6)) (less_than (n4) (n5)) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1497 % 1.97/2.20 1499. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1500. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1501. (green (n2) (n3)) (less_than (n1) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (less_than (n2) (n3)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1154 1451 % 1.97/2.20 1502. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1499 1500 1501 % 1.97/2.20 1503. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1502 % 1.97/2.20 1504. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1503 % 1.97/2.20 1505. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n5) (n6)) (green (n1) (n2)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1504 % 1.97/2.20 1506. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1505 % 1.97/2.20 1507. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1506 % 1.97/2.20 1508. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1507 % 1.97/2.20 1509. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n3) (n4)) (-. (goal)) (less_than (n4) (n5)) (green (n2) (n3)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1498 1508 % 1.97/2.20 1510. (less_than (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (red (n3) (n4)) (-. (goal)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1471 1509 % 1.97/2.20 1511. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1512. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1513. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1514. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1515. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.20 1516. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1517. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.20 1518. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1519. (less_than (n1) (n6)) (green (n1) (n5)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 926 1204 % 1.97/2.20 1520. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1517 1518 1519 % 1.97/2.20 1521. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n5)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1520 % 1.97/2.20 1522. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (green (n1) (n5)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1521 % 1.97/2.20 1523. (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 29 1522 % 1.97/2.20 1524. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1515 1516 1523 % 1.97/2.20 1525. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1524 % 1.97/2.20 1526. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1525 % 1.97/2.20 1527. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1526 % 1.97/2.20 1528. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.20 1529. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1530. (-. (less_than (n1) (n5))) (less_than (n1) (n5)) ### Axiom % 1.97/2.20 1531. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (-. (less_than (n1) (n5))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1528 1529 1530 % 1.97/2.20 1532. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (-. (less_than (n1) (n5))) ### All 1531 % 1.97/2.20 1533. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1534. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1535. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1536. (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (less_than (n2) (n4)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 1091 840 % 1.97/2.20 1537. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (green (n1) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 1534 1535 1536 % 1.97/2.20 1538. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1537 % 1.97/2.20 1539. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (green (n1) (n4)) (less_than (n5) (n6)) (less_than (n4) (n5)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 1538 % 1.97/2.20 1540. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n4)) (green (n1) (n2)) (green (n1) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1539 % 1.97/2.20 1541. (less_than (n1) (n6)) (green (n1) (n2)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 926 1540 % 1.97/2.20 1542. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) ### DisjTree 1532 1533 1541 % 1.97/2.20 1543. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) ### All 1542 % 1.97/2.20 1544. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) ### All 1543 % 1.97/2.20 1545. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) ### All 1544 % 1.97/2.20 1546. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1545 % 1.97/2.20 1547. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### Extension/test/partition 1527 1546 % 1.97/2.20 1548. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1513 1514 1547 % 1.97/2.20 1549. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1548 % 1.97/2.20 1550. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1549 % 1.97/2.20 1551. (less_than (n1) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 1550 1451 % 1.97/2.20 1552. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1511 1512 1551 % 1.97/2.20 1553. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1552 % 1.97/2.20 1554. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1553 % 1.97/2.20 1555. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1554 % 1.97/2.20 1556. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1555 % 1.97/2.20 1557. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n3) (n4)) (green (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1556 % 1.97/2.20 1558. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (red (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1557 % 1.97/2.20 1559. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (red (n5) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### All 1558 % 1.97/2.20 1560. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.20 1561. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.20 1562. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1563. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1564. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.20 1565. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.20 1566. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.20 1567. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.20 1568. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.20 1569. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.20 1570. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n1) (n6)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n5) (n6)) (less_than (n3) (n5)) ### All 922 % 1.97/2.20 1571. (less_than (n1) (n6)) (green (n5) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1570 393 % 1.97/2.20 1572. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1568 1569 1571 % 1.97/2.20 1573. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1572 % 1.97/2.20 1574. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1573 % 1.97/2.20 1575. (less_than (n1) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 29 1574 % 1.97/2.20 1576. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1566 1567 1575 % 1.97/2.20 1577. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1576 % 1.97/2.20 1578. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1577 % 1.97/2.21 1579. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1564 1565 1578 % 1.97/2.21 1580. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) ### All 1579 % 1.97/2.21 1581. (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1580 % 1.97/2.21 1582. (less_than (n3) (n4)) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) ### All 1581 % 1.97/2.21 1583. (less_than (n1) (n4)) (green (n1) (n2)) (less_than (n1) (n3)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1582 1546 % 1.97/2.21 1584. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1562 1563 1583 % 1.97/2.21 1585. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) ### All 1584 % 1.97/2.21 1586. (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (red (n1) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1585 % 1.97/2.21 1587. (less_than (n1) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) ### Extension/test/partition 1586 1451 % 1.97/2.21 1588. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1560 1561 1587 % 1.97/2.21 1589. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) ### All 1588 % 1.97/2.21 1590. (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1589 % 1.97/2.21 1591. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) ### All 1590 % 1.97/2.21 1592. (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1591 % 1.97/2.21 1593. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (green (n2) (n3)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) ### All 1592 % 1.97/2.21 1594. (less_than (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n4) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (green (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n5) (n6)) (less_than (n5) (n6)) (green (n1) (n2)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1593 % 1.97/2.21 1595. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n5) (n6)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (green (n2) (n3)) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) ### All 1594 % 1.97/2.21 1596. (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (-. (goal)) (red (n4) (n5)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1559 1595 % 1.97/2.21 1597. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.21 1598. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.21 1599. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.21 1600. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.21 1601. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.21 1602. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.21 1603. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.21 1604. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.21 1605. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.21 1606. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.21 1607. (((less_than (n2) (n3)) /\ (less_than (n3) (n5))) => (less_than (n2) (n5))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### DisjTree 1605 1606 1199 % 1.97/2.21 1608. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1607 % 1.97/2.21 1609. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n5) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n5) (n6)) (green (n1) (n5)) (less_than (n3) (n5)) (less_than (n2) (n3)) ### All 1608 % 1.97/2.21 1610. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n5)) (green (n1) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (green (n1) (n6)) (-. (goal)) (red (n5) (n6)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1609 % 1.97/2.21 1611. (less_than (n1) (n6)) (red (n5) (n6)) (green (n1) (n2)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1570 1610 % 1.97/2.21 1612. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1603 1604 1611 % 1.97/2.21 1613. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (green (n1) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1612 % 1.97/2.21 1614. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n3) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n5)) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1613 % 1.97/2.21 1615. (less_than (n1) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n3) (n5)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 448 1614 % 1.97/2.21 1616. (((less_than (n1) (n3)) /\ (less_than (n3) (n5))) => (less_than (n1) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### DisjTree 1601 1602 1615 % 1.97/2.21 1617. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n3) (n5)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1616 % 1.97/2.21 1618. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (red (n3) (n5)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n3) (n5)) (less_than (n1) (n3)) ### All 1617 % 1.97/2.21 1619. (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n3) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1618 432 % 1.97/2.21 1620. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1599 1600 1619 % 1.97/2.21 1621. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1620 % 1.97/2.21 1622. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n3)) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1621 % 1.97/2.21 1623. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n1) (n3)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (red (n1) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1622 % 1.97/2.21 1624. (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (less_than (n1) (n3)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1623 1451 % 1.97/2.21 1625. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1597 1598 1624 % 1.97/2.21 1626. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1625 % 1.97/2.21 1627. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1626 % 1.97/2.21 1628. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (green (n2) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1627 % 1.97/2.21 1629. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (green (n2) (n3)) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1628 % 1.97/2.21 1630. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1629 % 1.97/2.21 1631. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n5) (n6)) (red (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (green (n2) (n3)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1630 % 1.97/2.21 1632. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n2) (n3)) (green (n3) (n4)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (red (n5) (n6)) (less_than (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n3) (n4)) ### All 1631 % 1.97/2.21 1633. (less_than (n1) (n2)) (-. (less_than (n1) (n2))) ### Axiom % 1.97/2.21 1634. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.21 1635. (less_than (n1) (n3)) (-. (less_than (n1) (n3))) ### Axiom % 1.97/2.21 1636. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.21 1637. (less_than (n1) (n4)) (-. (less_than (n1) (n4))) ### Axiom % 1.97/2.21 1638. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.21 1639. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.21 1640. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.21 1641. (less_than (n1) (n5)) (-. (less_than (n1) (n5))) ### Axiom % 1.97/2.21 1642. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.21 1643. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.21 1644. (less_than (n3) (n4)) (-. (less_than (n3) (n4))) ### Axiom % 1.97/2.21 1645. (less_than (n3) (n5)) (-. (less_than (n3) (n5))) ### Axiom % 1.97/2.21 1646. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.21 1647. (less_than (n4) (n5)) (-. (less_than (n4) (n5))) ### Axiom % 1.97/2.21 1648. (less_than (n5) (n6)) (-. (less_than (n5) (n6))) ### Axiom % 1.97/2.21 1649. (less_than (n2) (n3)) (-. (less_than (n2) (n3))) ### Axiom % 1.97/2.21 1650. (less_than (n3) (n6)) (-. (less_than (n3) (n6))) ### Axiom % 1.97/2.21 1651. (((less_than (n2) (n3)) /\ (less_than (n3) (n6))) => (less_than (n2) (n6))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### DisjTree 1649 1650 1084 % 1.97/2.21 1652. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n4) (n6)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### All 1651 % 1.97/2.21 1653. (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (red (n4) (n6)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n3) (n6)) (less_than (n2) (n3)) ### All 1652 % 1.97/2.21 1654. (less_than (n4) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### Extension/test/partition 1653 751 % 1.97/2.21 1655. (((less_than (n4) (n5)) /\ (less_than (n5) (n6))) => (less_than (n4) (n6))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n3) (n6)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### DisjTree 1647 1648 1654 % 1.97/2.21 1656. (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (less_than (n3) (n6)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1655 % 1.97/2.21 1657. (((less_than (n3) (n5)) /\ (less_than (n5) (n6))) => (less_than (n3) (n6))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n5) (n6)) (less_than (n3) (n5)) ### DisjTree 1645 1646 1656 % 1.97/2.21 1658. (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) (less_than (n3) (n5)) (less_than (n5) (n6)) (All C, (((less_than (n4) (n5)) /\ (less_than (n5) C)) => (less_than (n4) C))) (less_than (n4) (n5)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) ### All 1657 % 1.97/2.21 1659. (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n2) (n4)) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All C, (((less_than (n3) (n5)) /\ (less_than (n5) C)) => (less_than (n3) C))) ### All 1658 % 1.97/2.21 1660. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (less_than (n2) (n3)) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (red (n2) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1659 % 1.97/2.21 1661. (less_than (n2) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (less_than (n2) (n3)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### Extension/test/partition 1660 840 % 1.97/2.21 1662. (((less_than (n2) (n3)) /\ (less_than (n3) (n4))) => (less_than (n2) (n4))) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### DisjTree 1643 1644 1661 % 1.97/2.21 1663. (All C, (((less_than (n2) (n3)) /\ (less_than (n3) C)) => (less_than (n2) C))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (green (n1) (n6)) (green (n1) (n2)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1662 % 1.97/2.21 1664. (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n5)) (less_than (n5) (n6)) (less_than (n4) (n5)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n1) (n2)) (green (n1) (n6)) (All B, (All C, (((green (n1) B) /\ ((green B C) /\ (green (n1) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) ### All 1663 % 1.97/2.21 1665. (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n1) (n6)) (green (n1) (n2)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) ### All 1664 % 1.97/2.21 1666. (less_than (n1) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n5)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### Extension/test/partition 755 1665 % 1.97/2.21 1667. (((less_than (n1) (n5)) /\ (less_than (n5) (n6))) => (less_than (n1) (n6))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### DisjTree 1641 1642 1666 % 1.97/2.21 1668. (All C, (((less_than (n1) (n5)) /\ (less_than (n5) C)) => (less_than (n1) C))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n3) (n5)) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n3) (n4)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) ### All 1667 % 1.97/2.21 1669. (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (less_than (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n3) (n4)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (less_than (n3) (n5)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1668 % 1.97/2.21 1670. (((less_than (n3) (n4)) /\ (less_than (n4) (n5))) => (less_than (n3) (n5))) (less_than (n1) (n5)) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### DisjTree 1639 1640 1669 % 1.97/2.21 1671. (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) (less_than (n1) (n5)) ### All 1670 % 1.97/2.21 1672. (((less_than (n1) (n4)) /\ (less_than (n4) (n5))) => (less_than (n1) (n5))) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n4) (n5)) (less_than (n1) (n4)) ### DisjTree 1637 1638 1671 % 1.97/2.21 1673. (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) (less_than (n1) (n4)) (less_than (n4) (n5)) (All C, (((less_than (n3) (n4)) /\ (less_than (n4) C)) => (less_than (n3) C))) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### All 1672 % 1.97/2.21 1674. (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) (All C, (((less_than (n1) (n4)) /\ (less_than (n4) C)) => (less_than (n1) C))) ### All 1673 % 1.97/2.21 1675. (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (red (n1) (n4)) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((green (n2) B) /\ ((green B C) /\ (green (n2) C))) => (goal)))) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### All 1674 % 1.97/2.21 1676. (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (red (n1) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n3) (n4)) (less_than (n4) (n5)) (less_than (n1) (n4)) ### All 1675 % 1.97/2.21 1677. (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n1) (n3)) (red (n1) (n3)) (less_than (n1) (n4)) (less_than (n4) (n5)) (less_than (n3) (n4)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### Extension/test/partition 1676 456 % 1.97/2.21 1678. (((less_than (n1) (n3)) /\ (less_than (n3) (n4))) => (less_than (n1) (n4))) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (red (n1) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### DisjTree 1635 1636 1677 % 1.97/2.21 1679. (All C, (((less_than (n1) (n3)) /\ (less_than (n3) C)) => (less_than (n1) C))) (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (red (n1) (n3)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### All 1678 % 1.97/2.21 1680. (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (green (n2) (n3)) (less_than (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (red (n1) (n3)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n1) (n3)) ### All 1679 % 1.97/2.21 1681. (less_than (n1) (n3)) (less_than (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n2) (n3)) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### Extension/test/partition 1680 1451 % 1.97/2.21 1682. (((less_than (n1) (n2)) /\ (less_than (n2) (n3))) => (less_than (n1) (n3))) (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### DisjTree 1633 1634 1681 % 1.97/2.21 1683. (All C, (((less_than (n1) (n2)) /\ (less_than (n2) C)) => (less_than (n1) C))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### All 1682 % 1.97/2.21 1684. (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (All B, (All C, (((less_than (n2) B) /\ (less_than B C)) => (less_than (n2) C)))) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### All 1683 % 1.97/2.21 1685. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All B, (All C, (((green (n3) B) /\ ((green B C) /\ (green (n3) C))) => (goal)))) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### All 1684 % 1.97/2.21 1686. (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n4) B) /\ (less_than B C)) => (less_than (n4) C)))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1685 % 1.97/2.21 1687. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All B, (All C, (((green (n4) B) /\ ((green B C) /\ (green (n4) C))) => (goal)))) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (green (n1) (n2)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (less_than (n5) (n6)) ### All 1686 % 1.97/2.21 1688. (less_than (n5) (n6)) (All B, (All C, (((less_than (n3) B) /\ (less_than B C)) => (less_than (n3) C)))) (green (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1687 % 1.97/2.21 1689. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (less_than (n4) (n5)) (All B, (All C, (((less_than (n1) B) /\ (less_than B C)) => (less_than (n1) C)))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n5) (n6)) (green (n4) (n5)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (green (n3) (n4)) (green (n1) (n2)) (less_than (n5) (n6)) ### All 1688 % 1.97/2.21 1690. (less_than (n5) (n6)) (green (n1) (n2)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n4) (n5)) (green (n5) (n6)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### All 1689 % 1.97/2.21 1691. (less_than (n3) (n4)) (less_than (n4) (n5)) (green (n4) (n5)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n3) (n4)) (green (n2) (n3)) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n2) (n3)) (less_than (n1) (n2)) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### Extension/test/partition 1632 1690 % 1.97/2.21 1692. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n3) (n4)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (green (n3) (n4)) (green (n2) (n3)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n1) (n2)) (less_than (n5) (n6)) (less_than (n4) (n5)) ### Extension/test/partition 1596 1691 % 1.97/2.21 1693. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (-. (goal)) (less_than (n5) (n6)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (green (n2) (n3)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n3) (n4)) ### Extension/test/partition 1510 1692 % 1.97/2.21 1694. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (less_than (n1) (n2)) (less_than (n2) (n3)) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (green (n1) (n2)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) ### Extension/test/partition 1405 1693 % 1.97/2.21 1695. (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (less_than (n4) (n5)) (less_than (n5) (n6)) (less_than (n3) (n4)) (less_than (n2) (n3)) (less_than (n1) (n2)) ### Extension/test/partition 975 1694 % 1.97/2.21 1696. ((less_than (n1) (n2)) /\ ((less_than (n2) (n3)) /\ ((less_than (n3) (n4)) /\ ((less_than (n4) (n5)) /\ (less_than (n5) (n6)))))) (All A, (All B, (All C, (((green A B) /\ ((green B C) /\ (green A C))) => (goal))))) (-. (goal)) (All A, (All B, (All C, (((red A B) /\ ((red B C) /\ (red A C))) => (goal))))) (All A, (All B, (All C, (((less_than A B) /\ (less_than B C)) => (less_than A C))))) ### ConjTree 1695 % 1.97/2.21 % SZS output end Proof % 1.97/2.21 (* END-PROOF *) %------------------------------------------------------------------------------