TSTP Solution File: ALG117+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG117+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n024.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 : Thu Jul 14 18:05:10 EDT 2022
% Result : Theorem 18.40s 18.65s
% Output : Proof 18.53s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG117+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 15:24:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 18.40/18.65 % SZS status Theorem
% 18.40/18.65 (* PROOF-FOUND *)
% 18.40/18.65 (* BEGIN-PROOF *)
% 18.40/18.65 % SZS output start Proof
% 18.40/18.65 1. ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (e11)) ### Axiom
% 18.40/18.65 2. ((h4 (op1 (e10) (e10))) != (h4 (e11))) ((op1 (e10) (e10)) = (e11)) ### NotEqual 1
% 18.40/18.65 3. ((h4 (e10)) != (h4 (e10))) ### Refl(=)
% 18.40/18.65 4. ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e23) (op2 (e23) (e23))) != (e20)) ### Sym(=)
% 18.40/18.65 5. ((h4 (e10)) != (e20)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ### Trans 3 4
% 18.40/18.65 6. ((op2 (h4 (e10)) (h4 (e10))) != (op2 (e20) (e20))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ### NotEqual 5 5
% 18.40/18.65 7. ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e21) != (op2 (op2 (e23) (e23)) (e23))) ### Axiom
% 18.40/18.65 8. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (h4 (e10)) (h4 (e10)))) ((op2 (e20) (e20)) = (e21)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ### Trans-sym 6 7
% 18.40/18.65 9. ((h4 (op1 (e10) (e10))) != (op2 (h4 (e10)) (h4 (e10)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e20)) = (e21)) ((op1 (e10) (e10)) = (e11)) ### Trans 2 8
% 18.40/18.65 10. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((op2 (e20) (e20)) = (e21)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e10) (e10))) != (op2 (h4 (e10)) (h4 (e10)))) ### And 9
% 18.40/18.65 11. ((op1 (e11) (e11)) != (e11)) ((op1 (e11) (e11)) = (e11)) ### Axiom
% 18.40/18.65 12. (((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) ### And 11
% 18.40/18.65 13. ((op1 (e12) (e12)) = (e11)) ((op1 (e12) (e12)) != (e11)) ### Axiom
% 18.40/18.65 14. ((op1 (e12) (e12)) = (e11)) ((op1 (e12) (e12)) != (e11)) ### Axiom
% 18.40/18.65 15. ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e13)) != (e12)) ### Sym(=)
% 18.40/18.65 16. ((e13) != (e13)) ### NotEqual
% 18.40/18.65 17. ((op1 (op1 (e13) (e13)) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ### NotEqual 15 16
% 18.40/18.65 18. ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e12) (e12)) = (e11)) ### TransEq 13 14 17
% 18.40/18.65 19. (((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ### And 18
% 18.40/18.65 20. ((e12) != (e12)) ### NotEqual
% 18.40/18.65 21. ((op1 (e13) (e13)) = (e11)) ((op1 (e13) (e13)) != (e11)) ### Axiom
% 18.40/18.65 22. ((e11) != (e12)) ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e13)) = (e11)) ### TransEq-sym 20 20 21
% 18.40/18.65 23. (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13))) ((e12) = (op1 (e13) (e13))) ((e11) != (e12)) ### And 22
% 18.40/18.65 24. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e10) (e10))) != (op2 (h4 (e10)) (h4 (e10)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e20)) = (e21)) ### DisjTree 10 12 19 23
% 18.40/18.65 25. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e10) (e10))) != (op2 (h4 (e10)) (h4 (e10)))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 24
% 18.40/18.65 26. ((op2 (e21) (e21)) != (e21)) ((op2 (e21) (e21)) = (e21)) ### Axiom
% 18.40/18.65 27. (((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) ### And 26
% 18.40/18.65 28. ((op2 (e22) (e22)) = (e21)) ((op2 (e22) (e22)) != (e21)) ### Axiom
% 18.40/18.65 29. ((op2 (e22) (e22)) = (e21)) ((op2 (e22) (e22)) != (e21)) ### Axiom
% 18.40/18.65 30. ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e23)) != (e22)) ### Sym(=)
% 18.40/18.65 31. ((e23) != (e23)) ### NotEqual
% 18.40/18.65 32. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ### NotEqual 30 31
% 18.40/18.65 33. ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) = (e21)) ### TransEq 28 29 32
% 18.40/18.65 34. (((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ### And 33
% 18.40/18.65 35. ((e22) != (e22)) ### NotEqual
% 18.40/18.65 36. ((op2 (e23) (e23)) = (e21)) ((op2 (e23) (e23)) != (e21)) ### Axiom
% 18.40/18.65 37. ((e21) != (e22)) ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e23)) = (e21)) ### TransEq-sym 35 35 36
% 18.40/18.65 38. (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23))) ((e22) = (op2 (e23) (e23))) ((e21) != (e22)) ### And 37
% 18.40/18.65 39. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e10) (e10))) != (op2 (h4 (e10)) (h4 (e10)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ### DisjTree 25 27 34 38
% 18.40/18.65 40. ((op2 (e20) (e20)) != (e20)) ((op2 (e20) (e20)) = (e20)) ### Axiom
% 18.40/18.65 41. (((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) ### And 40
% 18.40/18.65 42. ((op2 (e20) (e20)) = (e20)) ((e20) != (op2 (e20) (e20))) ### Sym(=)
% 18.40/18.65 43. ((op2 (e20) (e20)) = (e20)) ((e20) != (op2 (e20) (e20))) ### Sym(=)
% 18.40/18.65 44. ((e21) != (e21)) ### NotEqual
% 18.40/18.65 45. ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) = (e20)) ### TransEq 42 43 44
% 18.40/18.65 46. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.40/18.65 47. ((op2 (e20) (e22)) = (e20)) ((op2 (e20) (e22)) != (e20)) ### Axiom
% 18.40/18.65 48. ((op2 (e20) (e22)) = (e20)) ((op2 (e20) (e22)) != (e20)) ### Axiom
% 18.40/18.65 49. ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e23)) != (e22)) ### Sym(=)
% 18.40/18.65 50. ((op2 (e23) (op2 (e23) (e23))) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ### NotEqual 31 49
% 18.40/18.65 51. ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e22)) = (e20)) ### TransEq 47 48 50
% 18.40/18.65 52. ((op2 (e20) (e23)) != (e20)) ((op2 (e20) (e23)) = (e20)) ### Axiom
% 18.40/18.65 53. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e20) (e23)) != (e20)) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 46 51 52
% 18.40/18.65 54. (((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 53
% 18.40/18.65 55. ((op2 (e21) (e21)) = (e23)) ((e23) != (op2 (e21) (e21))) ### Sym(=)
% 18.40/18.65 56. ((op2 (e21) (e21)) = (e23)) ((e23) != (op2 (e21) (e21))) ### Sym(=)
% 18.40/18.65 57. ((e20) != (e20)) ### NotEqual
% 18.40/18.65 58. ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) = (e23)) ### TransEq-sym 55 56 57
% 18.40/18.65 59. (((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e23)) ### And 58
% 18.40/18.65 60. ((op1 (e10) (e10)) != (e10)) ((op1 (e10) (e10)) = (e10)) ### Axiom
% 18.40/18.65 61. (((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) ### And 60
% 18.40/18.65 62. ((op1 (e10) (e10)) = (e13)) ((e13) != (op1 (e10) (e10))) ### Sym(=)
% 18.40/18.65 63. ((op1 (e10) (e10)) = (e13)) ((e13) != (op1 (e10) (e10))) ### Sym(=)
% 18.40/18.65 64. ((e11) != (e11)) ### NotEqual
% 18.40/18.65 65. ((e11) != (e13)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) = (e13)) ### TransEq-sym 62 63 64
% 18.40/18.65 66. (((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e13)) ### And 65
% 18.40/18.65 67. ((op1 (e11) (e11)) = (e13)) ((e13) != (op1 (e11) (e11))) ### Sym(=)
% 18.40/18.65 68. ((op1 (e11) (e11)) = (e13)) ((e13) != (op1 (e11) (e11))) ### Sym(=)
% 18.40/18.65 69. ((e10) != (e10)) ### NotEqual
% 18.40/18.65 70. ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) = (e13)) ### TransEq-sym 67 68 69
% 18.40/18.65 71. (((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e13)) ### And 70
% 18.40/18.65 72. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.40/18.65 73. ((op2 (e20) (e20)) = (e23)) ((e23) != (op2 (e20) (e20))) ### Sym(=)
% 18.40/18.65 74. ((op2 (e20) (e20)) = (e23)) ((e23) != (op2 (e20) (e20))) ### Sym(=)
% 18.40/18.65 75. ((e21) != (e23)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) = (e23)) ### TransEq-sym 73 74 44
% 18.40/18.65 76. ((op1 (e10) (e10)) = (e10)) ((e10) != (op1 (e10) (e10))) ### Sym(=)
% 18.40/18.65 77. ((op1 (e10) (e10)) = (e10)) ((e10) != (op1 (e10) (e10))) ### Sym(=)
% 18.40/18.65 78. ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) = (e10)) ### TransEq 76 77 64
% 18.40/18.65 79. ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e11)) = (e10)) ### Axiom
% 18.40/18.65 80. ((op1 (e10) (e12)) = (e10)) ((op1 (e10) (e12)) != (e10)) ### Axiom
% 18.40/18.65 81. ((op1 (e10) (e12)) = (e10)) ((op1 (e10) (e12)) != (e10)) ### Axiom
% 18.40/18.65 82. ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e13)) != (e12)) ### Sym(=)
% 18.40/18.65 83. ((op1 (e13) (op1 (e13) (e13))) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ### NotEqual 16 82
% 18.40/18.65 84. ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e10) (e12)) = (e10)) ### TransEq 80 81 83
% 18.40/18.65 85. ((op1 (e10) (e11)) = (e13)) ((op1 (e10) (e11)) != (e13)) ### Axiom
% 18.40/18.65 86. ((h4 (op1 (e10) (e11))) != (h4 (e13))) ((op1 (e10) (e11)) = (e13)) ### NotEqual 85
% 18.40/18.65 87. ((h4 (e11)) != (h4 (e11))) ### Refl(=)
% 18.40/18.65 88. ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (op2 (e23) (e23)) (e23)) != (e21)) ### Sym(=)
% 18.40/18.65 89. ((h4 (e11)) != (e21)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ### Trans 87 88
% 18.40/18.65 90. ((op2 (h4 (e10)) (h4 (e11))) != (op2 (e20) (e21))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ### NotEqual 5 89
% 18.40/18.65 91. ((e23) != (op2 (h4 (e10)) (h4 (e11)))) ((op2 (e20) (e21)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ### Trans-sym 90 31
% 18.40/18.65 92. ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e21)) = (e23)) ((op1 (e10) (e11)) = (e13)) ### Trans 86 91
% 18.40/18.65 93. ((op1 (e12) (e12)) != (op1 (e12) (e12))) ### Refl(=)
% 18.40/18.65 94. ((op1 (e12) (e12)) != (op1 (e12) (e12))) ### Refl(=)
% 18.40/18.65 95. ((op1 (e10) (e12)) = (e13)) ((e13) != (op1 (e10) (e12))) ### Sym(=)
% 18.40/18.65 96. ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) ((op1 (e10) (e12)) = (e13)) ### TransEq-sym 93 94 95
% 18.40/18.65 97. ((op1 (e10) (e13)) = (e13)) ((e13) != (op1 (e10) (e13))) ### Sym(=)
% 18.40/18.65 98. ((op1 (e10) (e13)) = (e13)) ((e13) != (op1 (e10) (e13))) ### Sym(=)
% 18.40/18.65 99. ((e10) != (e13)) ((op1 (e10) (e13)) = (e10)) ((op1 (e10) (e13)) = (e13)) ### TransEq-sym 97 98 69
% 18.40/18.65 100. (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e13)) = (e10)) ((e10) != (e13)) ((op1 (e12) (e12)) = (e13)) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((op2 (e20) (e21)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e13)) ### DisjTree 65 92 96 99
% 18.40/18.65 101. (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e13)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e21)) = (e23)) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) ((e10) != (e13)) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ### DisjTree 78 79 84 100
% 18.40/18.65 102. ((op2 (e22) (e22)) != (op2 (e22) (e22))) ### Refl(=)
% 18.40/18.65 103. ((op2 (e22) (e22)) != (op2 (e22) (e22))) ### Refl(=)
% 18.40/18.65 104. ((op2 (e20) (e22)) = (e23)) ((e23) != (op2 (e20) (e22))) ### Sym(=)
% 18.40/18.65 105. ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) ((op2 (e20) (e22)) = (e23)) ### TransEq-sym 102 103 104
% 18.40/18.65 106. ((op2 (e20) (e23)) = (e23)) ((e23) != (op2 (e20) (e23))) ### Sym(=)
% 18.40/18.65 107. ((op2 (e20) (e23)) = (e23)) ((e23) != (op2 (e20) (e23))) ### Sym(=)
% 18.40/18.65 108. ((e20) != (e23)) ((op2 (e20) (e23)) = (e20)) ((op2 (e20) (e23)) = (e23)) ### TransEq-sym 106 107 57
% 18.40/18.65 109. (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e23)) = (e20)) ((e20) != (e23)) ((op2 (e22) (e22)) = (e23)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e10) != (e13)) ((op1 (e12) (e12)) = (e13)) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((e11) != (e13)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e23)) ### DisjTree 75 101 105 108
% 18.40/18.65 110. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e13)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) ((e10) != (e13)) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 72 51 109
% 18.49/18.65 111. (((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e20) != (e23)) ((op2 (e22) (e22)) = (e23)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e10) != (e13)) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((e11) != (e13)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 110
% 18.49/18.65 112. ((op1 (e13) (e13)) != (e13)) ((op1 (e13) (e13)) = (e13)) ### Axiom
% 18.49/18.65 113. (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))) ### And 112
% 18.49/18.65 114. ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ((op1 (e10) (e10)) = (e11)) ### DisjTree 66 71 111 113
% 18.49/18.65 115. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e11) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e10) != (e13)) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e20) != (e23)) ((op2 (e22) (e22)) = (e23)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ### And 114
% 18.49/18.65 116. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ### DisjTree 115 12 19 23
% 18.49/18.65 117. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((e11) != (e13)) ((e10) != (e13)) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e20) != (e23)) ((op2 (e22) (e22)) = (e23)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 116
% 18.49/18.65 118. ((op1 (e12) (e12)) = (e10)) ((op1 (e12) (e12)) != (e10)) ### Axiom
% 18.49/18.65 119. ((op1 (e12) (e12)) = (e10)) ((op1 (e12) (e12)) != (e10)) ### Axiom
% 18.49/18.65 120. ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e12) (e12)) = (e10)) ### TransEq 118 119 83
% 18.49/18.65 121. (((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ### And 120
% 18.49/18.65 122. ((op1 (e13) (e13)) = (e10)) ((op1 (e13) (e13)) != (e10)) ### Axiom
% 18.49/18.65 123. ((e10) != (e12)) ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e13)) = (e10)) ### TransEq-sym 20 20 122
% 18.49/18.65 124. (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13))) ((e12) = (op1 (e13) (e13))) ((e10) != (e12)) ### And 123
% 18.49/18.65 125. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ((e10) != (e13)) ((e11) != (e13)) ### DisjTree 61 117 121 124
% 18.49/18.65 126. (((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) ((e11) != (e13)) ((e10) != (e13)) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e20) != (e23)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 125
% 18.49/18.65 127. ((op2 (e23) (e23)) != (e23)) ((op2 (e23) (e23)) = (e23)) ### Axiom
% 18.49/18.65 128. (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))) ### And 127
% 18.49/18.65 129. ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 54 59 126 128
% 18.49/18.65 130. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ### And 129
% 18.49/18.65 131. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 130 27 34 38
% 18.49/18.65 132. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 131
% 18.49/18.65 133. ((op2 (e22) (e22)) = (e20)) ((op2 (e22) (e22)) != (e20)) ### Axiom
% 18.49/18.65 134. ((op2 (e22) (e22)) = (e20)) ((op2 (e22) (e22)) != (e20)) ### Axiom
% 18.49/18.65 135. ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) = (e20)) ### TransEq 133 134 50
% 18.49/18.65 136. (((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ### And 135
% 18.49/18.65 137. ((op2 (e23) (e23)) = (e20)) ((op2 (e23) (e23)) != (e20)) ### Axiom
% 18.49/18.65 138. ((e20) != (e22)) ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e23)) = (e20)) ### TransEq-sym 35 35 137
% 18.49/18.65 139. (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23))) ((e22) = (op2 (e23) (e23))) ((e20) != (e22)) ### And 138
% 18.49/18.65 140. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e10) (e11))) != (op2 (h4 (e10)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 41 132 136 139
% 18.49/18.65 141. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.49/18.65 142. ((op2 (e20) (e20)) = (e22)) ((e22) != (op2 (e20) (e20))) ### Sym(=)
% 18.49/18.65 143. ((op2 (e20) (e20)) = (e22)) ((e22) != (op2 (e20) (e20))) ### Sym(=)
% 18.49/18.65 144. ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) = (e22)) ### TransEq-sym 142 143 44
% 18.49/18.65 145. ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e20)) = (e21)) ### Axiom
% 18.49/18.65 146. ((op2 (e21) (e21)) = (e21)) ((e21) != (op2 (e21) (e21))) ### Sym(=)
% 18.49/18.65 147. ((op2 (e21) (e21)) = (e21)) ((e21) != (op2 (e21) (e21))) ### Sym(=)
% 18.49/18.65 148. ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) = (e21)) ### TransEq-sym 146 147 57
% 18.49/18.65 149. ((op2 (e21) (e22)) = (e20)) ((op2 (e21) (e22)) != (e20)) ### Axiom
% 18.49/18.65 150. ((op2 (e21) (e22)) = (e20)) ((op2 (e21) (e22)) != (e20)) ### Axiom
% 18.49/18.65 151. ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) = (e20)) ### TransEq 149 150 50
% 18.49/18.65 152. ((op2 (e20) (e23)) = (e21)) ((op2 (e20) (e23)) != (e21)) ### Axiom
% 18.49/18.65 153. ((op2 (e20) (e23)) = (e21)) ((op2 (e20) (e23)) != (e21)) ### Axiom
% 18.49/18.65 154. ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e23)) = (e21)) ### TransEq 152 153 32
% 18.49/18.65 155. ((op2 (e21) (e23)) = (e21)) ((op2 (e21) (e23)) != (e21)) ### Axiom
% 18.49/18.65 156. ((op2 (e21) (e23)) = (e21)) ((op2 (e21) (e23)) != (e21)) ### Axiom
% 18.49/18.65 157. ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) = (e21)) ### TransEq 155 156 32
% 18.49/18.65 158. ((op2 (e23) (e20)) = (e21)) ((op2 (e23) (e20)) != (e21)) ### Axiom
% 18.49/18.65 159. ((op2 (e23) (e20)) = (e21)) ((op2 (e23) (e20)) != (e21)) ### Axiom
% 18.49/18.65 160. ((op2 (e20) (e20)) = (e21)) ((e21) != (op2 (e20) (e20))) ### Sym(=)
% 18.49/18.65 161. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (e20) (e20))) ((op2 (e22) (e23)) = (e21)) ((op2 (e20) (e20)) = (e21)) ((e22) = (op2 (e23) (e23))) ### Trans 32 160
% 18.49/18.65 162. ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e20)) = (e21)) ((op2 (e22) (e23)) = (e21)) ((op2 (e23) (e20)) = (e21)) ### TransEq-sym 158 159 161
% 18.49/18.65 163. (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e23) (e20)) = (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 154 157 162 37
% 18.49/18.65 164. ((op2 (e22) (e21)) = (e20)) ((op2 (e22) (e21)) != (e20)) ### Axiom
% 18.49/18.65 165. ((op2 (e22) (e21)) = (e20)) ((op2 (e22) (e21)) != (e20)) ### Axiom
% 18.49/18.65 166. ((op2 (e21) (e21)) = (e20)) ((e20) != (op2 (e21) (e21))) ### Sym(=)
% 18.49/18.65 167. ((op2 (e23) (op2 (e23) (e23))) != (op2 (e21) (e21))) ((op2 (e23) (e22)) = (e20)) ((op2 (e21) (e21)) = (e20)) ((e22) = (op2 (e23) (e23))) ### Trans 50 166
% 18.49/18.65 168. ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e21)) = (e20)) ((op2 (e23) (e22)) = (e20)) ((op2 (e22) (e21)) = (e20)) ### TransEq-sym 164 165 167
% 18.49/18.65 169. ((op2 (e22) (e21)) = (e21)) ((op2 (e22) (e21)) != (e21)) ### Axiom
% 18.49/18.65 170. ((op2 (e22) (e21)) = (e21)) ((op2 (e22) (e21)) != (e21)) ### Axiom
% 18.49/18.65 171. ((op2 (e23) (e21)) = (e21)) ((e21) != (op2 (e23) (e21))) ### Sym(=)
% 18.49/18.65 172. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (e23) (e21))) ((op2 (e22) (e23)) = (e21)) ((op2 (e23) (e21)) = (e21)) ((e22) = (op2 (e23) (e23))) ### Trans 32 171
% 18.49/18.65 173. ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e21)) = (e21)) ((op2 (e22) (e23)) = (e21)) ((op2 (e22) (e21)) = (e21)) ### TransEq 169 170 172
% 18.49/18.65 174. ((op2 (e20) (e21)) = (e22)) ((op2 (e20) (e21)) != (e22)) ### Axiom
% 18.49/18.65 175. ((op2 (e20) (e21)) = (e22)) ((op2 (e20) (e21)) != (e22)) ### Axiom
% 18.49/18.65 176. ((op2 (e21) (e20)) = (e22)) ((op2 (e21) (e20)) != (e22)) ### Axiom
% 18.49/18.65 177. ((op2 (e23) (e23)) != (op2 (e23) (e23))) ### Refl(=)
% 18.49/18.65 178. ((op2 (e23) (e23)) != (op2 (e21) (e20))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e20)) = (e22)) ### Trans-sym 176 177
% 18.49/18.65 179. ((op2 (e22) (e21)) = (e22)) ((e22) != (op2 (e22) (e21))) ### Sym(=)
% 18.49/18.65 180. ((op2 (e23) (e23)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) = (e22)) ((op2 (e21) (e20)) = (e22)) ((e22) = (op2 (e23) (e23))) ### Trans 178 179
% 18.49/18.65 181. ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e20)) = (e22)) ((op2 (e22) (e21)) = (e22)) ((op2 (e20) (e21)) = (e22)) ### TransEq 174 175 180
% 18.49/18.65 182. ((op2 (e22) (e22)) != (op2 (e22) (e22))) ### Refl(=)
% 18.49/18.65 183. ((op2 (e22) (e22)) != (op2 (e22) (e22))) ### Refl(=)
% 18.49/18.65 184. ((op2 (e22) (e21)) = (e23)) ((e23) != (op2 (e22) (e21))) ### Sym(=)
% 18.49/18.65 185. ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) = (e23)) ### TransEq-sym 182 183 184
% 18.49/18.65 186. (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) = (e22)) ((op2 (e21) (e20)) = (e22)) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e23)) = (e21)) ((op2 (e23) (e21)) = (e21)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e23) (e22)) = (e20)) ((op2 (e21) (e21)) = (e20)) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ### DisjTree 168 173 181 185
% 18.49/18.65 187. (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) = (e20)) ((op2 (e23) (e22)) = (e20)) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e23) (e21)) = (e21)) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e20)) = (e22)) ((op2 (e20) (e21)) = (e22)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 154 157 186 37
% 18.49/18.65 188. ((op2 (e23) (e22)) = (e21)) ((op2 (e23) (e22)) != (e21)) ### Axiom
% 18.49/18.65 189. ((op2 (e23) (e22)) = (e21)) ((op2 (e23) (e22)) != (e21)) ### Axiom
% 18.49/18.65 190. ((op2 (e21) (e22)) = (e21)) ((e21) != (op2 (e21) (e22))) ### Sym(=)
% 18.49/18.65 191. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (e21) (e22))) ((op2 (e22) (e23)) = (e21)) ((op2 (e21) (e22)) = (e21)) ((e22) = (op2 (e23) (e23))) ### Trans 32 190
% 18.49/18.65 192. ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) = (e21)) ((op2 (e22) (e23)) = (e21)) ((op2 (e23) (e22)) = (e21)) ### TransEq-sym 188 189 191
% 18.49/18.65 193. (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e23) (e22)) = (e21)) ((op2 (e21) (e22)) = (e21)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 154 157 192 37
% 18.49/18.65 194. (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) = (e21)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) = (e22)) ((op2 (e21) (e20)) = (e22)) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e23) (e22)) = (e20)) ((op2 (e21) (e21)) = (e20)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ### DisjTree 163 187 193 37
% 18.49/18.65 195. (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e20)) = (e22)) ((op2 (e20) (e21)) = (e22)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e21) (e22)) = (e21)) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ### DisjTree 51 151 135 194
% 18.49/18.65 196. (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) = (e22)) ((op2 (e21) (e20)) = (e22)) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 145 148 195 157
% 18.49/18.65 197. ((op2 (e22) (e20)) = (e22)) ((e22) != (op2 (e22) (e20))) ### Sym(=)
% 18.49/18.65 198. ((op2 (e22) (e20)) = (e22)) ((e22) != (op2 (e22) (e20))) ### Sym(=)
% 18.49/18.65 199. ((e20) != (e22)) ((op2 (e22) (e20)) = (e20)) ((op2 (e22) (e20)) = (e22)) ### TransEq-sym 197 198 57
% 18.49/18.65 200. (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e22) (e21)) = (e20)) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ### DisjTree 51 151 135 168
% 18.49/18.65 201. ((op2 (e22) (e23)) = (e20)) ((op2 (e22) (e23)) != (e20)) ### Axiom
% 18.49/18.65 202. ((op2 (e22) (e23)) = (e20)) ((op2 (e22) (e23)) != (e20)) ### Axiom
% 18.49/18.65 203. ((op2 (e20) (e23)) = (e20)) ((e20) != (op2 (e20) (e23))) ### Sym(=)
% 18.49/18.65 204. ((op2 (e23) (op2 (e23) (e23))) != (op2 (e20) (e23))) ((op2 (e23) (e22)) = (e20)) ((op2 (e20) (e23)) = (e20)) ((e22) = (op2 (e23) (e23))) ### Trans 50 203
% 18.49/18.65 205. ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e23)) = (e20)) ((op2 (e23) (e22)) = (e20)) ((op2 (e22) (e23)) = (e20)) ### TransEq-sym 201 202 204
% 18.49/18.65 206. (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e22) (e23)) = (e20)) ((op2 (e20) (e23)) = (e20)) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ### DisjTree 51 151 135 205
% 18.49/18.65 207. (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) = (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e22) (e20)) = (e22)) ((e20) != (e22)) ### DisjTree 199 200 135 206
% 18.49/18.65 208. ((op2 (e23) (e20)) = (e22)) ((op2 (e23) (e20)) != (e22)) ### Axiom
% 18.49/18.65 209. ((op2 (e23) (e20)) = (e22)) ((op2 (e23) (e20)) != (e22)) ### Axiom
% 18.49/18.65 210. ((op2 (e23) (e23)) != (op2 (e23) (e23))) ### Refl(=)
% 18.49/18.65 211. ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e20)) = (e22)) ### TransEq 208 209 210
% 18.49/18.65 212. (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) ((op2 (e20) (e23)) = (e20)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e21)) = (e22)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) ### DisjTree 144 196 207 211
% 18.49/18.65 213. ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e11)) = (e10)) ### Axiom
% 18.49/18.65 214. ((op1 (e10) (e10)) = (e12)) ((e12) != (op1 (e10) (e10))) ### Sym(=)
% 18.49/18.65 215. ((op1 (e10) (e10)) = (e12)) ((e12) != (op1 (e10) (e10))) ### Sym(=)
% 18.49/18.65 216. ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) = (e12)) ### TransEq-sym 214 215 64
% 18.49/18.65 217. ((op1 (e11) (e10)) != (e11)) ((op1 (e11) (e10)) = (e11)) ### Axiom
% 18.49/18.65 218. ((op1 (e11) (e11)) = (e11)) ((e11) != (op1 (e11) (e11))) ### Sym(=)
% 18.49/18.65 219. ((op1 (e11) (e11)) = (e11)) ((e11) != (op1 (e11) (e11))) ### Sym(=)
% 18.49/18.65 220. ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) = (e11)) ### TransEq-sym 218 219 69
% 18.49/18.65 221. ((op1 (e11) (e12)) = (e10)) ((op1 (e11) (e12)) != (e10)) ### Axiom
% 18.49/18.65 222. ((op1 (e11) (e12)) = (e10)) ((op1 (e11) (e12)) != (e10)) ### Axiom
% 18.49/18.65 223. ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) = (e10)) ### TransEq 221 222 83
% 18.49/18.65 224. ((op1 (e12) (e10)) = (e12)) ((e12) != (op1 (e12) (e10))) ### Sym(=)
% 18.49/18.65 225. ((op1 (e12) (e10)) = (e12)) ((e12) != (op1 (e12) (e10))) ### Sym(=)
% 18.49/18.65 226. ((e10) != (e12)) ((op1 (e12) (e10)) = (e10)) ((op1 (e12) (e10)) = (e12)) ### TransEq-sym 224 225 69
% 18.49/18.65 227. ((op1 (e10) (e12)) = (e12)) ((op1 (e10) (e12)) != (e12)) ### Axiom
% 18.49/18.65 228. ((h4 (op1 (e10) (e12))) != (h4 (e12))) ((op1 (e10) (e12)) = (e12)) ### NotEqual 227
% 18.49/18.65 229. ((h4 (e12)) != (h4 (e12))) ### Refl(=)
% 18.49/18.65 230. ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e23)) != (e22)) ### Sym(=)
% 18.49/18.65 231. ((h4 (e12)) != (e22)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ### Trans 229 230
% 18.49/18.65 232. ((op2 (h4 (e10)) (h4 (e12))) != (op2 (e20) (e22))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ### NotEqual 5 231
% 18.49/18.65 233. ((e22) = (op2 (e23) (e23))) ((e22) != (op2 (e23) (e23))) ### Axiom
% 18.49/18.65 234. ((op2 (e23) (e23)) != (op2 (h4 (e10)) (h4 (e12)))) ((op2 (e20) (e22)) = (e22)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ### Trans-sym 232 233
% 18.49/18.65 235. ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) = (e22)) ((op1 (e10) (e12)) = (e12)) ### Trans 228 234
% 18.49/18.65 236. ((op1 (e11) (e12)) = (e12)) ((op1 (e11) (e12)) != (e12)) ### Axiom
% 18.49/18.65 237. ((op1 (e11) (e12)) = (e12)) ((op1 (e11) (e12)) != (e12)) ### Axiom
% 18.49/18.65 238. ((op1 (e11) (e10)) = (e12)) ((op1 (e11) (e10)) != (e12)) ### Axiom
% 18.49/18.65 239. ((op1 (e13) (e13)) != (op1 (e13) (e13))) ### Refl(=)
% 18.49/18.65 240. ((op1 (e13) (e13)) != (op1 (e11) (e10))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e10)) = (e12)) ### Trans-sym 238 239
% 18.49/18.65 241. ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e11) (e10)) = (e12)) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) = (e12)) ### TransEq-sym 236 237 240
% 18.49/18.65 242. ((op1 (e12) (e12)) = (e12)) ((op1 (e12) (e12)) != (e12)) ### Axiom
% 18.49/18.65 243. ((op1 (e12) (e12)) = (e12)) ((op1 (e12) (e12)) != (e12)) ### Axiom
% 18.49/18.65 244. ((op1 (e12) (e11)) = (e12)) ((e12) != (op1 (e12) (e11))) ### Sym(=)
% 18.49/18.65 245. ((op1 (e13) (e13)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) = (e12)) ((op1 (e11) (e10)) = (e12)) ((e12) = (op1 (e13) (e13))) ### Trans 240 244
% 18.49/18.65 246. ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e10)) = (e12)) ((op1 (e12) (e11)) = (e12)) ((op1 (e12) (e12)) = (e12)) ### TransEq-sym 242 243 245
% 18.49/18.65 247. ((op1 (e13) (e12)) = (e12)) ((op1 (e13) (e12)) != (e12)) ### Axiom
% 18.49/18.65 248. ((op1 (e13) (e12)) = (e12)) ((op1 (e13) (e12)) != (e12)) ### Axiom
% 18.49/18.65 249. ((op1 (e13) (e13)) != (op1 (e13) (e13))) ### Refl(=)
% 18.49/18.65 250. ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e12)) = (e12)) ### TransEq 247 248 249
% 18.49/18.65 251. (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) = (e12)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e10)) = (e12)) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op2 (e20) (e22)) = (e22)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ### DisjTree 235 241 246 250
% 18.49/18.65 252. ((op1 (e10) (e13)) = (e11)) ((op1 (e10) (e13)) != (e11)) ### Axiom
% 18.49/18.65 253. ((op1 (e10) (e13)) = (e11)) ((op1 (e10) (e13)) != (e11)) ### Axiom
% 18.49/18.65 254. ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e10) (e13)) = (e11)) ### TransEq 252 253 17
% 18.49/18.65 255. ((op1 (e11) (e13)) = (e11)) ((op1 (e11) (e13)) != (e11)) ### Axiom
% 18.49/18.65 256. ((op1 (e11) (e13)) = (e11)) ((op1 (e11) (e13)) != (e11)) ### Axiom
% 18.49/18.65 257. ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) = (e11)) ### TransEq 255 256 17
% 18.49/18.65 258. ((op1 (e13) (e10)) = (e11)) ((op1 (e13) (e10)) != (e11)) ### Axiom
% 18.49/18.65 259. ((op1 (e13) (e10)) = (e11)) ((op1 (e13) (e10)) != (e11)) ### Axiom
% 18.49/18.65 260. ((op1 (e10) (e10)) = (e11)) ((e11) != (op1 (e10) (e10))) ### Sym(=)
% 18.49/18.65 261. ((op1 (op1 (e13) (e13)) (e13)) != (op1 (e10) (e10))) ((op1 (e12) (e13)) = (e11)) ((op1 (e10) (e10)) = (e11)) ((e12) = (op1 (e13) (e13))) ### Trans 17 260
% 18.49/18.65 262. ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e10) (e10)) = (e11)) ((op1 (e12) (e13)) = (e11)) ((op1 (e13) (e10)) = (e11)) ### TransEq-sym 258 259 261
% 18.49/18.65 263. (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e13) (e10)) = (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ### DisjTree 254 257 262 22
% 18.49/18.65 264. ((op1 (e12) (e11)) = (e10)) ((op1 (e12) (e11)) != (e10)) ### Axiom
% 18.49/18.65 265. ((op1 (e12) (e11)) = (e10)) ((op1 (e12) (e11)) != (e10)) ### Axiom
% 18.49/18.65 266. ((op1 (e11) (e11)) = (e10)) ((e10) != (op1 (e11) (e11))) ### Sym(=)
% 18.49/18.65 267. ((op1 (e13) (op1 (e13) (e13))) != (op1 (e11) (e11))) ((op1 (e13) (e12)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((e12) = (op1 (e13) (e13))) ### Trans 83 266
% 18.49/18.65 268. ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e12)) = (e10)) ((op1 (e12) (e11)) = (e10)) ### TransEq-sym 264 265 267
% 18.49/18.65 269. ((op1 (e12) (e11)) = (e11)) ((op1 (e12) (e11)) != (e11)) ### Axiom
% 18.49/18.65 270. ((op1 (e12) (e11)) = (e11)) ((op1 (e12) (e11)) != (e11)) ### Axiom
% 18.49/18.65 271. ((op1 (e13) (e11)) = (e11)) ((e11) != (op1 (e13) (e11))) ### Sym(=)
% 18.49/18.65 272. ((op1 (op1 (e13) (e13)) (e13)) != (op1 (e13) (e11))) ((op1 (e12) (e13)) = (e11)) ((op1 (e13) (e11)) = (e11)) ((e12) = (op1 (e13) (e13))) ### Trans 17 271
% 18.49/18.65 273. ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e11)) = (e11)) ((op1 (e12) (e13)) = (e11)) ((op1 (e12) (e11)) = (e11)) ### TransEq 269 270 272
% 18.49/18.65 274. ((op1 (e12) (e12)) != (op1 (e12) (e12))) ### Refl(=)
% 18.49/18.65 275. ((op1 (e12) (e12)) != (op1 (e12) (e12))) ### Refl(=)
% 18.49/18.65 276. ((op1 (e12) (e11)) = (e13)) ((e13) != (op1 (e12) (e11))) ### Sym(=)
% 18.49/18.65 277. ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) = (e13)) ### TransEq-sym 274 275 276
% 18.49/18.65 278. (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e12)) = (e12)) ((op1 (e11) (e10)) = (e12)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e13)) = (e11)) ((op1 (e13) (e11)) = (e11)) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e13) (e12)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ### DisjTree 268 273 246 277
% 18.49/18.65 279. (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e12)) = (e10)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e13) (e11)) = (e11)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) = (e12)) ((op1 (e12) (e12)) = (e12)) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ### DisjTree 254 257 278 22
% 18.49/18.65 280. ((op1 (e13) (e12)) = (e11)) ((op1 (e13) (e12)) != (e11)) ### Axiom
% 18.49/18.65 281. ((op1 (e13) (e12)) = (e11)) ((op1 (e13) (e12)) != (e11)) ### Axiom
% 18.49/18.65 282. ((op1 (e11) (e12)) = (e11)) ((e11) != (op1 (e11) (e12))) ### Sym(=)
% 18.49/18.65 283. ((op1 (op1 (e13) (e13)) (e13)) != (op1 (e11) (e12))) ((op1 (e12) (e13)) = (e11)) ((op1 (e11) (e12)) = (e11)) ((e12) = (op1 (e13) (e13))) ### Trans 17 282
% 18.49/18.65 284. ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) = (e11)) ((op1 (e12) (e13)) = (e11)) ((op1 (e13) (e12)) = (e11)) ### TransEq-sym 280 281 283
% 18.49/18.65 285. (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e13) (e12)) = (e11)) ((op1 (e11) (e12)) = (e11)) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ### DisjTree 254 257 284 22
% 18.49/18.65 286. (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) = (e11)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e12)) = (e12)) ((op1 (e11) (e10)) = (e12)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e13) (e12)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ### DisjTree 263 279 285 22
% 18.49/18.65 287. ((op1 (e12) (e13)) != (e12)) ((op1 (e12) (e13)) = (e12)) ### Axiom
% 18.49/18.65 288. (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e12)) = (e10)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e11) (e12)) = (e11)) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) = (e22)) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e11) (e10)) = (e12)) ((e12) = (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e12) (e10)) = (e10)) ((e10) != (e12)) ### DisjTree 226 251 286 287
% 18.49/18.65 289. (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e12) (e10)) = (e10)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) = (e12)) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op2 (e20) (e22)) = (e22)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) = (e11)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ### DisjTree 84 223 120 288
% 18.49/18.65 290. (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) = (e22)) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e11) (e10)) = (e12)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e12) (e10)) = (e10)) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ### DisjTree 217 220 289 257
% 18.49/18.65 291. (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e12) (e11)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ### DisjTree 84 223 120 268
% 18.49/18.65 292. ((op1 (e12) (e13)) = (e10)) ((op1 (e12) (e13)) != (e10)) ### Axiom
% 18.49/18.65 293. ((op1 (e12) (e13)) = (e10)) ((op1 (e12) (e13)) != (e10)) ### Axiom
% 18.49/18.65 294. ((op1 (e10) (e13)) = (e10)) ((e10) != (op1 (e10) (e13))) ### Sym(=)
% 18.49/18.65 295. ((op1 (e13) (op1 (e13) (e13))) != (op1 (e10) (e13))) ((op1 (e13) (e12)) = (e10)) ((op1 (e10) (e13)) = (e10)) ((e12) = (op1 (e13) (e13))) ### Trans 83 294
% 18.49/18.65 296. ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e10) (e13)) = (e10)) ((op1 (e13) (e12)) = (e10)) ((op1 (e12) (e13)) = (e10)) ### TransEq-sym 292 293 295
% 18.49/18.65 297. (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e12) (e13)) = (e10)) ((op1 (e10) (e13)) = (e10)) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ### DisjTree 84 223 120 296
% 18.49/18.65 298. (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) = (e10)) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) = (e12)) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op2 (e20) (e22)) = (e22)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ### DisjTree 290 291 120 297
% 18.49/18.65 299. (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) = (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e12) (e10)) = (e12)) ((e10) != (e12)) ### DisjTree 226 291 120 297
% 18.49/18.65 300. ((op1 (e13) (e10)) = (e12)) ((op1 (e13) (e10)) != (e12)) ### Axiom
% 18.49/18.65 301. ((op1 (e13) (e10)) = (e12)) ((op1 (e13) (e10)) != (e12)) ### Axiom
% 18.49/18.65 302. ((op1 (e13) (e13)) != (op1 (e13) (e13))) ### Refl(=)
% 18.49/18.65 303. ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e10)) = (e12)) ### TransEq 300 301 302
% 18.49/18.66 304. (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) = (e22)) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op1 (e10) (e13)) = (e10)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) ### DisjTree 216 298 299 303
% 18.49/18.66 305. (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e11) (e10)) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op2 (e20) (e22)) = (e22)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ### DisjTree 78 213 84 304
% 18.49/18.66 306. ((op2 (e20) (e23)) = (e22)) ((op2 (e20) (e23)) != (e22)) ### Axiom
% 18.49/18.66 307. ((op2 (e20) (e23)) = (e22)) ((op2 (e20) (e23)) != (e22)) ### Axiom
% 18.49/18.66 308. ((op2 (e23) (e23)) != (op2 (e23) (e23))) ### Refl(=)
% 18.49/18.66 309. ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e23)) = (e22)) ### TransEq 306 307 308
% 18.49/18.66 310. (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e10)) != (e11)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) = (e20)) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) ### DisjTree 144 212 305 309
% 18.49/18.66 311. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e11) (e10)) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e13)) != (e12)) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 141 51 310
% 18.49/18.66 312. (((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e10)) != (e11)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 311
% 18.49/18.66 313. ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e11) (e10)) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ((op1 (e10) (e10)) = (e11)) ### DisjTree 66 71 312 113
% 18.49/18.66 314. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e11) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e10) != (e13)) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e10)) != (e11)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ### And 313
% 18.49/18.66 315. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e11) (e10)) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ### DisjTree 314 12 19 23
% 18.49/18.66 316. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((e11) != (e13)) ((e10) != (e13)) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 315
% 18.49/18.66 317. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ((e10) != (e13)) ((e11) != (e13)) ### DisjTree 61 316 121 124
% 18.49/18.66 318. (((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) ((e11) != (e13)) ((e10) != (e13)) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 317
% 18.49/18.66 319. ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 54 59 318 128
% 18.49/18.66 320. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e20)) != (e21)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e21) != (e22)) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ### And 319
% 18.49/18.66 321. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 320 27 34 38
% 18.49/18.66 322. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e21) != (e22)) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 321
% 18.49/18.66 323. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e10) (e12))) != (op2 (h4 (e10)) (h4 (e12)))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 41 322 136 139
% 18.49/18.66 324. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.49/18.66 325. ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e11)) = (e10)) ### Axiom
% 18.49/18.66 326. ((op1 (e10) (e13)) = (e10)) ((op1 (e10) (e13)) != (e10)) ### Axiom
% 18.49/18.66 327. ((h4 (op1 (e10) (e13))) != (h4 (e10))) ((op1 (e10) (e13)) = (e10)) ### NotEqual 326
% 18.49/18.66 328. ((h4 (e13)) = (e23)) ((h4 (e13)) != (e23)) ### Axiom
% 18.49/18.66 329. ((op2 (h4 (e10)) (h4 (e13))) != (op2 (e20) (e23))) ((h4 (e13)) = (e23)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ### NotEqual 5 328
% 18.49/18.66 330. ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e20) != (op2 (e23) (op2 (e23) (e23)))) ### Axiom
% 18.49/18.66 331. ((op2 (e23) (op2 (e23) (e23))) != (op2 (h4 (e10)) (h4 (e13)))) ((op2 (e20) (e23)) = (e20)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ### Trans-sym 329 330
% 18.49/18.66 332. ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e23)) = (e20)) ((op1 (e10) (e13)) = (e10)) ### Trans 327 331
% 18.49/18.66 333. (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e20) (e23)) = (e20)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ### DisjTree 78 325 84 332
% 18.49/18.66 334. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 324 51 333
% 18.49/18.66 335. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 334
% 18.49/18.66 336. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 335 12 19 23
% 18.49/18.66 337. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 336
% 18.49/18.66 338. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e10) (e13))) != (op2 (h4 (e10)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 337 27 34 38
% 18.49/18.66 339. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.49/18.66 340. ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e11)) = (e10)) ### Axiom
% 18.49/18.66 341. ((op1 (e11) (e10)) = (e12)) ((op1 (e11) (e10)) != (e12)) ### Axiom
% 18.49/18.66 342. ((h4 (op1 (e11) (e10))) != (h4 (e12))) ((op1 (e11) (e10)) = (e12)) ### NotEqual 341
% 18.49/18.66 343. ((op2 (h4 (e11)) (h4 (e10))) != (op2 (e21) (e20))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ### NotEqual 89 5
% 18.49/18.66 344. ((e22) = (op2 (e23) (e23))) ((e22) != (op2 (e23) (e23))) ### Axiom
% 18.49/18.66 345. ((op2 (e23) (e23)) != (op2 (h4 (e11)) (h4 (e10)))) ((op2 (e21) (e20)) = (e22)) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ### Trans-sym 343 344
% 18.49/18.66 346. ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e20)) = (e22)) ((op1 (e11) (e10)) = (e12)) ### Trans 342 345
% 18.49/18.66 347. (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) = (e10)) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op2 (e21) (e20)) = (e22)) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) ### DisjTree 216 346 299 303
% 18.49/18.66 348. (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e20)) = (e22)) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ### DisjTree 78 340 84 347
% 18.49/18.66 349. (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) = (e20)) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) ### DisjTree 144 348 207 211
% 18.49/18.66 350. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 339 51 349
% 18.49/18.66 351. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 350
% 18.49/18.66 352. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 351 12 19 23
% 18.49/18.66 353. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 352
% 18.49/18.66 354. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 61 353 121 124
% 18.49/18.66 355. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 354
% 18.49/18.66 356. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 355 27 34 38
% 18.49/18.66 357. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((e20) != (e22)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((e10) != (e12)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((e11) != (e12)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e22)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 356
% 18.49/18.66 358. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e21) != (e22)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e11) != (e12)) ((h4 (op1 (e11) (e10))) != (op2 (h4 (e11)) (h4 (e10)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 41 357 136 139
% 18.49/18.66 359. ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (e10)) ### Axiom
% 18.49/18.66 360. ((h4 (op1 (e11) (e11))) != (h4 (e10))) ((op1 (e11) (e11)) = (e10)) ### NotEqual 359
% 18.49/18.66 361. ((op2 (h4 (e11)) (h4 (e11))) != (op2 (e21) (e21))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ### NotEqual 89 89
% 18.49/18.66 362. ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e20) != (op2 (e23) (op2 (e23) (e23)))) ### Axiom
% 18.49/18.66 363. ((op2 (e23) (op2 (e23) (e23))) != (op2 (h4 (e11)) (h4 (e11)))) ((op2 (e21) (e21)) = (e20)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ### Trans-sym 361 362
% 18.49/18.66 364. ((h4 (op1 (e11) (e11))) != (op2 (h4 (e11)) (h4 (e11)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) = (e20)) ((op1 (e11) (e11)) = (e10)) ### Trans 360 363
% 18.49/18.66 365. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((op2 (e21) (e21)) = (e20)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e11) (e11))) != (op2 (h4 (e11)) (h4 (e11)))) ### And 364
% 18.49/18.66 366. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e11) (e11))) != (op2 (h4 (e11)) (h4 (e11)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) = (e20)) ### DisjTree 61 365 121 124
% 18.49/18.66 367. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e11) (e11))) != (op2 (h4 (e11)) (h4 (e11)))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 366
% 18.49/18.66 368. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((h4 (op1 (e11) (e11))) != (op2 (h4 (e11)) (h4 (e11)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ### DisjTree 41 367 136 139
% 18.49/18.66 369. ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e20)) = (e21)) ### Axiom
% 18.49/18.66 370. ((op1 (e11) (e10)) != (e11)) ((op1 (e11) (e10)) = (e11)) ### Axiom
% 18.49/18.66 371. ((op1 (e11) (e12)) = (e11)) ((op1 (e11) (e12)) != (e11)) ### Axiom
% 18.49/18.66 372. ((h4 (op1 (e11) (e12))) != (h4 (e11))) ((op1 (e11) (e12)) = (e11)) ### NotEqual 371
% 18.49/18.66 373. ((op2 (h4 (e11)) (h4 (e12))) != (op2 (e21) (e22))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ### NotEqual 89 231
% 18.49/18.66 374. ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e21) != (op2 (op2 (e23) (e23)) (e23))) ### Axiom
% 18.49/18.66 375. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (h4 (e11)) (h4 (e12)))) ((op2 (e21) (e22)) = (e21)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ### Trans-sym 373 374
% 18.49/18.66 376. ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e22)) = (e21)) ((op1 (e11) (e12)) = (e11)) ### Trans 372 375
% 18.49/18.66 377. (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op2 (e21) (e22)) = (e21)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ### DisjTree 370 220 376 257
% 18.49/18.66 378. (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 369 148 377 157
% 18.49/18.66 379. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((e10) != (e11)) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ### And 378
% 18.49/18.67 380. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e10) != (e11)) ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 61 379 121 124
% 18.49/18.67 381. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((e10) != (e11)) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 380
% 18.49/18.67 382. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e10) != (e11)) ((h4 (op1 (e11) (e12))) != (op2 (h4 (e11)) (h4 (e12)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((e20) != (e21)) ### DisjTree 41 381 136 139
% 18.49/18.67 383. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.49/18.67 384. ((op2 (e20) (e22)) != (e20)) ((op2 (e20) (e22)) = (e20)) ### Axiom
% 18.49/18.67 385. ((op2 (e20) (e22)) != (e20)) ((op2 (e20) (e22)) = (e20)) ### Axiom
% 18.49/18.67 386. ((op2 (e21) (e23)) = (e20)) ((op2 (e21) (e23)) != (e20)) ### Axiom
% 18.49/18.67 387. ((op2 (e21) (e23)) = (e20)) ((op2 (e21) (e23)) != (e20)) ### Axiom
% 18.49/18.67 388. ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e23)) = (e20)) ((op2 (e23) (e22)) = (e20)) ((op2 (e21) (e23)) = (e20)) ### TransEq-sym 386 387 204
% 18.49/18.67 389. ((op2 (e21) (e23)) = (e22)) ((op2 (e21) (e23)) != (e22)) ### Axiom
% 18.49/18.67 390. ((op2 (e21) (e23)) = (e22)) ((op2 (e21) (e23)) != (e22)) ### Axiom
% 18.49/18.67 391. ((op2 (e23) (e23)) != (op2 (e23) (e23))) ### Refl(=)
% 18.49/18.67 392. ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) = (e22)) ### TransEq 389 390 391
% 18.49/18.67 393. ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e11)) = (e10)) ### Axiom
% 18.49/18.67 394. ((op1 (e11) (e13)) = (e10)) ((op1 (e11) (e13)) != (e10)) ### Axiom
% 18.49/18.67 395. ((op1 (e11) (e13)) = (e10)) ((op1 (e11) (e13)) != (e10)) ### Axiom
% 18.49/18.67 396. ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e10) (e13)) = (e10)) ((op1 (e13) (e12)) = (e10)) ((op1 (e11) (e13)) = (e10)) ### TransEq-sym 394 395 295
% 18.49/18.67 397. ((op1 (e11) (e13)) = (e12)) ((op1 (e11) (e13)) != (e12)) ### Axiom
% 18.49/18.67 398. ((op1 (e11) (e13)) = (e12)) ((op1 (e11) (e13)) != (e12)) ### Axiom
% 18.49/18.67 399. ((op1 (e13) (e13)) != (op1 (e13) (e13))) ### Refl(=)
% 18.49/18.67 400. ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) = (e12)) ### TransEq 397 398 399
% 18.49/18.67 401. ((op1 (e11) (e13)) = (e13)) ((op1 (e11) (e13)) != (e13)) ### Axiom
% 18.49/18.67 402. ((h4 (op1 (e11) (e13))) != (h4 (e13))) ((op1 (e11) (e13)) = (e13)) ### NotEqual 401
% 18.49/18.67 403. ((h4 (e13)) = (e23)) ((h4 (e13)) != (e23)) ### Axiom
% 18.49/18.67 404. ((op2 (h4 (e11)) (h4 (e13))) != (op2 (e21) (e23))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ### NotEqual 89 403
% 18.49/18.67 405. ((e23) != (op2 (h4 (e11)) (h4 (e13)))) ((op2 (e21) (e23)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ### Trans-sym 404 31
% 18.49/18.67 406. ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) = (e23)) ((op1 (e11) (e13)) = (e13)) ### Trans 402 405
% 18.49/18.67 407. (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op2 (e21) (e23)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e13) (e12)) = (e10)) ((op1 (e10) (e13)) = (e10)) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ### DisjTree 396 257 400 406
% 18.49/18.67 408. (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e10) (e13)) = (e10)) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) = (e23)) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ### DisjTree 84 223 120 407
% 18.49/18.67 409. (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op2 (e21) (e23)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ### DisjTree 78 393 84 408
% 18.49/18.67 410. (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e23) (e22)) = (e20)) ((op2 (e20) (e23)) = (e20)) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ### DisjTree 388 157 392 409
% 18.49/18.67 411. (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e20) (e23)) = (e20)) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e22)) != (e20)) ### DisjTree 385 151 135 410
% 18.49/18.67 412. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e22)) != (e20)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 383 384 411
% 18.49/18.67 413. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 412
% 18.49/18.67 414. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e22)) != (e20)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 413 12 19 23
% 18.49/18.67 415. (((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 414
% 18.49/18.67 416. ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e20)) = (e21)) ### Axiom
% 18.49/18.67 417. ((op2 (e21) (e22)) != (e21)) ((op2 (e21) (e22)) = (e21)) ### Axiom
% 18.49/18.67 418. (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (e21)) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 416 148 417 157
% 18.49/18.67 419. (((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ### And 418
% 18.49/18.67 420. ((op2 (e22) (e22)) != (e22)) ((op2 (e22) (e22)) = (e22)) ### Axiom
% 18.49/18.67 421. (((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) ### And 420
% 18.49/18.67 422. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.49/18.67 423. ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e20)) = (e21)) ### Axiom
% 18.49/18.67 424. ((op2 (e23) (e22)) = (e22)) ((op2 (e23) (e22)) != (e22)) ### Axiom
% 18.49/18.67 425. ((op2 (e23) (e22)) = (e22)) ((op2 (e23) (e22)) != (e22)) ### Axiom
% 18.49/18.67 426. ((op2 (e23) (e23)) != (op2 (e23) (e23))) ### Refl(=)
% 18.49/18.67 427. ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e22)) = (e22)) ### TransEq 424 425 426
% 18.49/18.67 428. ((op2 (e23) (e22)) != (e23)) ((op2 (e23) (e22)) = (e23)) ### Axiom
% 18.49/18.67 429. (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (e23)) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e22) (e23)) = (e21)) ((op2 (e21) (e22)) = (e21)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e23)) = (e20)) ((op2 (e20) (e23)) = (e20)) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ### DisjTree 388 192 427 428
% 18.49/18.67 430. (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e20) (e23)) = (e20)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e22)) = (e21)) ((op2 (e22) (e23)) = (e21)) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e23) (e22)) != (e23)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ### DisjTree 429 157 392 409
% 18.49/18.67 431. (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (e23)) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e21) (e22)) = (e21)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) = (e20)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 154 157 430 37
% 18.49/18.67 432. (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e23)) = (e20)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e23) (e22)) != (e23)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 423 148 431 157
% 18.49/18.67 433. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (e23)) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 422 51 432
% 18.49/18.67 434. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e23) (e22)) != (e23)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 433
% 18.49/18.67 435. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (e23)) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 434 12 19 23
% 18.49/18.67 436. (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 435
% 18.49/18.67 437. ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 415 419 421 436
% 18.49/18.67 438. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) ### And 437
% 18.49/18.67 439. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e20)) != (e21)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e21)) ### DisjTree 438 27 34 38
% 18.49/18.67 440. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 439
% 18.49/18.67 441. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((h4 (op1 (e11) (e13))) != (op2 (h4 (e11)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e20) != (e21)) ### DisjTree 41 440 136 139
% 18.49/18.67 442. ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e21)) = (e20)) ### Axiom
% 18.49/18.67 443. ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e11)) = (e10)) ### Axiom
% 18.49/18.67 444. ((op1 (e12) (e10)) = (e10)) ((op1 (e12) (e10)) != (e10)) ### Axiom
% 18.49/18.67 445. ((h4 (op1 (e12) (e10))) != (h4 (e10))) ((op1 (e12) (e10)) = (e10)) ### NotEqual 444
% 18.49/18.67 446. ((op2 (h4 (e12)) (h4 (e10))) != (op2 (e22) (e20))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ### NotEqual 231 5
% 18.49/18.67 447. ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e20) != (op2 (e23) (op2 (e23) (e23)))) ### Axiom
% 18.49/18.67 448. ((op2 (e23) (op2 (e23) (e23))) != (op2 (h4 (e12)) (h4 (e10)))) ((op2 (e22) (e20)) = (e20)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ### Trans-sym 446 447
% 18.49/18.67 449. ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e22) (e20)) = (e20)) ((op1 (e12) (e10)) = (e10)) ### Trans 445 448
% 18.49/18.67 450. (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) = (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op2 (e22) (e20)) = (e20)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ### DisjTree 449 291 120 297
% 18.49/18.67 451. (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e22) (e20)) = (e20)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) ### DisjTree 78 443 84 450
% 18.49/18.67 452. (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) = (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ### DisjTree 451 200 135 206
% 18.49/18.67 453. (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e11)) != (e10)) ((op1 (e10) (e10)) = (e11)) ((e10) != (e11)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 45 442 51 452
% 18.49/18.67 454. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ### And 453
% 18.49/18.67 455. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 454 12 19 23
% 18.49/18.67 456. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((e20) != (e21)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 455
% 18.49/18.67 457. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 61 456 121 124
% 18.49/18.67 458. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 457
% 18.49/18.67 459. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 458 27 34 38
% 18.49/18.67 460. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 459
% 18.49/18.67 461. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (op1 (e12) (e10))) != (op2 (h4 (e12)) (h4 (e10)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e12)) = (op2 (e23) (e23))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 41 460 136 139
% 18.49/18.67 462. ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e20)) = (e21)) ### Axiom
% 18.49/18.67 463. ((op1 (e11) (e10)) != (e11)) ((op1 (e11) (e10)) = (e11)) ### Axiom
% 18.49/18.67 464. ((op1 (e12) (e11)) = (e12)) ((op1 (e12) (e11)) != (e12)) ### Axiom
% 18.49/18.67 465. ((h4 (op1 (e12) (e11))) != (h4 (e12))) ((op1 (e12) (e11)) = (e12)) ### NotEqual 464
% 18.49/18.67 466. ((op2 (h4 (e12)) (h4 (e11))) != (op2 (e22) (e21))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ### NotEqual 231 89
% 18.49/18.67 467. ((e22) = (op2 (e23) (e23))) ((e22) != (op2 (e23) (e23))) ### Axiom
% 18.49/18.67 468. ((op2 (e23) (e23)) != (op2 (h4 (e12)) (h4 (e11)))) ((op2 (e22) (e21)) = (e22)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ### Trans-sym 466 467
% 18.49/18.67 469. ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e22) (e21)) = (e22)) ((op1 (e12) (e11)) = (e12)) ### Trans 465 468
% 18.49/18.67 470. (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op2 (e22) (e21)) = (e22)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e13)) = (e11)) ((op1 (e13) (e11)) = (e11)) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e13) (e12)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ### DisjTree 268 273 469 277
% 18.49/18.67 471. (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e12)) = (e10)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e13) (e11)) = (e11)) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e22) (e21)) = (e22)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ### DisjTree 254 257 470 22
% 18.49/18.67 472. (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) = (e11)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op2 (e22) (e21)) = (e22)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e13) (e12)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ### DisjTree 263 471 285 22
% 18.49/18.67 473. (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e11) (e11)) = (e10)) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e22) (e21)) = (e22)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e11) (e12)) = (e11)) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ### DisjTree 84 223 120 472
% 18.49/18.67 474. (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op2 (e22) (e21)) = (e22)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ### DisjTree 463 220 473 257
% 18.49/18.67 475. (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e23)) = (e21)) ((op2 (e23) (e21)) = (e21)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e23) (e22)) = (e20)) ((op2 (e21) (e21)) = (e20)) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ### DisjTree 168 173 474 185
% 18.49/18.67 476. (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) = (e20)) ((op2 (e23) (e22)) = (e20)) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e23) (e21)) = (e21)) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 154 157 475 37
% 18.49/18.67 477. (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) = (e21)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e23) (e22)) = (e20)) ((op2 (e21) (e21)) = (e20)) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ### DisjTree 163 476 193 37
% 18.49/18.67 478. (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e21) (e21)) = (e20)) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e21) (e22)) = (e21)) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ### DisjTree 51 151 135 477
% 18.49/18.67 479. (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e12) (e12)) = (e13)) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 462 148 478 157
% 18.49/18.67 480. (((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ### And 479
% 18.49/18.67 481. ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ((op1 (e10) (e10)) = (e11)) ### DisjTree 66 71 480 113
% 18.49/18.67 482. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e11) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e10) != (e13)) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ### And 481
% 18.49/18.67 483. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ### DisjTree 482 12 19 23
% 18.49/18.67 484. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((e11) != (e13)) ((e10) != (e13)) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e22) (e22)) = (e23)) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 483
% 18.49/18.67 485. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e22)) = (e23)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((e10) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ((e10) != (e13)) ((e11) != (e13)) ### DisjTree 61 484 121 124
% 18.49/18.67 486. (((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) ((e11) != (e13)) ((e10) != (e13)) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 485
% 18.49/18.68 487. ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((e10) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 54 59 486 128
% 18.49/18.68 488. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) ((op2 (e21) (e20)) != (e21)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ### And 487
% 18.49/18.68 489. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((e10) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((op2 (e21) (e20)) != (e21)) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 488 27 34 38
% 18.49/18.68 490. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((e10) != (e11)) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 489
% 18.49/18.68 491. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((e10) != (e11)) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((h4 (op1 (e12) (e11))) != (op2 (h4 (e12)) (h4 (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 41 490 136 139
% 18.49/18.68 492. ((op2 (h4 (e12)) (h4 (e12))) != (op2 (e22) (e22))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ### NotEqual 231 231
% 18.49/18.68 493. ((op1 (e12) (e12)) = (e13)) ((op1 (e12) (e12)) != (e13)) ### Axiom
% 18.49/18.68 494. ((h4 (op1 (e12) (e12))) != (h4 (e13))) ((op1 (e12) (e12)) = (e13)) ### NotEqual 493
% 18.49/18.68 495. ((e23) != (h4 (op1 (e12) (e12)))) ((h4 (e13)) = (e23)) ((op1 (e12) (e12)) = (e13)) ### Trans-sym 494 31
% 18.49/18.68 496. ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((op2 (e22) (e22)) = (e23)) ((op1 (e12) (e12)) = (e13)) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ### TransEq-sym 492 495 495
% 18.49/18.68 497. (((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((op2 (e22) (e22)) = (e23)) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ### And 496
% 18.49/18.68 498. ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((op2 (e22) (e22)) = (e23)) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ((op1 (e10) (e10)) = (e11)) ### DisjTree 66 71 497 113
% 18.49/18.68 499. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((e11) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e10) != (e13)) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((op2 (e22) (e22)) = (e23)) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ### And 498
% 18.49/18.68 500. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((op2 (e22) (e22)) = (e23)) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((e10) != (e13)) ((op1 (e11) (e11)) = (e10)) ((e11) != (e13)) ### DisjTree 499 12 19 23
% 18.49/18.68 501. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((e11) != (e13)) ((e10) != (e13)) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((op2 (e22) (e22)) = (e23)) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 500
% 18.49/18.68 502. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((op2 (e22) (e22)) = (e23)) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e22) = (op2 (e23) (e23))) ((e10) != (e13)) ((e11) != (e13)) ### DisjTree 61 501 121 124
% 18.49/18.68 503. (((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) ((e11) != (e13)) ((e10) != (e13)) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 502
% 18.49/18.68 504. ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((op2 (e20) (e21)) != (e20)) ((op2 (e20) (e20)) = (e21)) ((e20) != (e21)) ### DisjTree 54 59 503 128
% 18.49/18.68 505. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ### And 504
% 18.49/18.68 506. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) ((op2 (e21) (e21)) = (e20)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 505 27 34 38
% 18.49/18.68 507. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 506
% 18.49/18.68 508. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((h4 (op1 (e12) (e12))) != (op2 (h4 (e12)) (h4 (e12)))) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) ### DisjTree 41 507 136 139
% 18.49/18.68 509. ((op1 (e12) (e13)) = (e11)) ((op1 (e12) (e13)) != (e11)) ### Axiom
% 18.49/18.68 510. ((h4 (op1 (e12) (e13))) != (h4 (e11))) ((op1 (e12) (e13)) = (e11)) ### NotEqual 509
% 18.49/18.68 511. ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e23) (e23)) != (h4 (e12))) ### Sym(=)
% 18.49/18.68 512. ((h4 (e13)) = (e23)) ((e23) != (h4 (e13))) ### Sym(=)
% 18.49/18.68 513. ((op2 (op2 (e23) (e23)) (e23)) != (op2 (h4 (e12)) (h4 (e13)))) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ### NotEqual 511 512
% 18.49/18.68 514. ((h4 (op1 (e12) (e13))) != (op2 (h4 (e12)) (h4 (e13)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((op1 (e12) (e13)) = (e11)) ### Trans 510 513
% 18.49/18.68 515. (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (op1 (e12) (e13))) != (op2 (h4 (e12)) (h4 (e13)))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ### DisjTree 254 257 514 22
% 18.49/18.68 516. ((op2 (e23) (e20)) = (e20)) ((op2 (e23) (e20)) != (e20)) ### Axiom
% 18.49/18.68 517. ((op2 (e23) (e20)) = (e20)) ((op2 (e23) (e20)) != (e20)) ### Axiom
% 18.49/18.68 518. ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e22) = (op2 (e23) (e23))) ((op2 (e23) (e20)) = (e20)) ### TransEq 516 517 50
% 18.49/18.68 519. ((op1 (e13) (e10)) = (e10)) ((op1 (e13) (e10)) != (e10)) ### Axiom
% 18.49/18.68 520. ((op1 (e13) (e10)) = (e10)) ((op1 (e13) (e10)) != (e10)) ### Axiom
% 18.49/18.68 521. ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e10)) = (e10)) ### TransEq 519 520 83
% 18.49/18.68 522. ((h4 (e13)) = (e23)) ((h4 (e13)) != (e23)) ### Axiom
% 18.49/18.68 523. ((op2 (h4 (e13)) (h4 (e10))) != (op2 (e23) (e20))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ### NotEqual 522 5
% 18.49/18.68 524. ((op1 (e13) (e10)) = (e13)) ((op1 (e13) (e10)) != (e13)) ### Axiom
% 18.49/18.68 525. ((h4 (op1 (e13) (e10))) != (h4 (e13))) ((op1 (e13) (e10)) = (e13)) ### NotEqual 524
% 18.49/18.68 526. ((e23) != (h4 (op1 (e13) (e10)))) ((h4 (e13)) = (e23)) ((op1 (e13) (e10)) = (e13)) ### Trans-sym 525 31
% 18.49/18.68 527. ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((op2 (e23) (e20)) = (e23)) ((op1 (e13) (e10)) = (e13)) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ### TransEq-sym 523 526 526
% 18.49/18.68 528. (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((op2 (e23) (e20)) = (e23)) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((op1 (e12) (e13)) = (e11)) ((op1 (e10) (e10)) = (e11)) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ### DisjTree 521 262 303 527
% 18.49/18.68 529. (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((op2 (e23) (e20)) = (e23)) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ### DisjTree 254 257 528 22
% 18.49/18.68 530. (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((op2 (e22) (e23)) = (e21)) ((op2 (e20) (e20)) = (e21)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e22) = (op2 (e23) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ### DisjTree 518 162 211 529
% 18.49/18.68 531. (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 154 157 530 37
% 18.49/18.68 532. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ### And 531
% 18.49/18.68 533. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 532 12 19 23
% 18.49/18.68 534. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 533
% 18.49/18.68 535. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) ((h4 (op1 (e13) (e10))) != (op2 (h4 (e13)) (h4 (e10)))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ### DisjTree 534 27 34 38
% 18.49/18.68 536. ((op2 (e21) (e20)) != (e21)) ((op2 (e21) (e20)) = (e21)) ### Axiom
% 18.49/18.68 537. ((op1 (e11) (e10)) != (e11)) ((op1 (e11) (e10)) = (e11)) ### Axiom
% 18.49/18.68 538. ((h4 (e13)) = (e23)) ((h4 (e13)) != (e23)) ### Axiom
% 18.49/18.68 539. ((op2 (h4 (e13)) (h4 (e11))) != (op2 (e23) (e21))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ### NotEqual 538 89
% 18.49/18.68 540. ((op1 (e13) (e11)) = (e11)) ((op1 (e13) (e11)) != (e11)) ### Axiom
% 18.49/18.68 541. ((h4 (op1 (e13) (e11))) != (h4 (e11))) ((op1 (e13) (e11)) = (e11)) ### NotEqual 540
% 18.49/18.68 542. ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (op2 (e23) (e23)) (e23)) != (e21)) ### Sym(=)
% 18.49/18.68 543. ((e21) != (h4 (op1 (e13) (e11)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e13) (e11)) = (e11)) ### Trans-sym 541 542
% 18.49/18.68 544. ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op2 (e23) (e21)) = (e21)) ((op1 (e13) (e11)) = (e11)) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ### TransEq-sym 539 543 543
% 18.49/18.68 545. (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) = (e11)) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((op2 (e23) (e21)) = (e21)) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ### DisjTree 263 544 285 22
% 18.49/18.68 546. (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op2 (e23) (e21)) = (e21)) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ### DisjTree 537 220 545 257
% 18.49/18.68 547. (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op2 (e21) (e22)) = (e21)) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e10) (e10)) = (e11)) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ### DisjTree 163 546 193 37
% 18.49/18.68 548. (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) = (e11)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 536 148 547 157
% 18.49/18.68 549. (((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((op1 (e11) (e10)) != (e11)) ((e10) != (e11)) ((op1 (e11) (e11)) = (e10)) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ### And 548
% 18.49/18.68 550. ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e11)) = (e10)) ((e10) != (e11)) ((op1 (e11) (e10)) != (e11)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 549 12 19 23
% 18.49/18.68 551. (((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e10) != (e11)) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e20) (e20)) = (e21)) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ### And 550
% 18.49/18.68 552. ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) = (e21)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e10) != (e11)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 61 551 121 124
% 18.49/18.68 553. (((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) ((op2 (e21) (e20)) != (e21)) ((e20) != (e21)) ((op2 (e21) (e21)) = (e20)) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e10) != (e11)) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ### And 552
% 18.49/18.68 554. ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e10) != (e11)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e21)) = (e20)) ((e20) != (e21)) ((op2 (e21) (e20)) != (e21)) ### DisjTree 553 27 34 38
% 18.49/18.68 555. (((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) ((e20) != (e21)) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) ((e10) != (e11)) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e13)) = (e23)) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((e11) != (e12)) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e22) = (op2 (e23) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((e21) != (e22)) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### And 554
% 18.49/18.68 556. ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e21) != (e22)) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e11) != (e12)) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((h4 (op1 (e13) (e11))) != (op2 (h4 (e13)) (h4 (e11)))) ((h4 (e13)) = (e23)) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((e10) != (e11)) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((e20) != (e21)) ### DisjTree 41 555 136 139
% 18.49/18.68 557. ((op1 (e13) (e12)) = (e10)) ((op1 (e13) (e12)) != (e10)) ### Axiom
% 18.49/18.68 558. ((h4 (op1 (e13) (e12))) != (h4 (e10))) ((op1 (e13) (e12)) = (e10)) ### NotEqual 557
% 18.49/18.68 559. ((h4 (e13)) = (e23)) ((e23) != (h4 (e13))) ### Sym(=)
% 18.49/18.68 560. ((h4 (e12)) = (op2 (e23) (e23))) ((op2 (e23) (e23)) != (h4 (e12))) ### Sym(=)
% 18.49/18.68 561. ((op2 (e23) (op2 (e23) (e23))) != (op2 (h4 (e13)) (h4 (e12)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ### NotEqual 559 560
% 18.49/18.68 562. ((h4 (op1 (e13) (e12))) != (op2 (h4 (e13)) (h4 (e12)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e13)) = (e23)) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e13) (e12)) = (e10)) ### Trans 558 561
% 18.49/18.68 563. (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (op1 (e13) (e12))) != (op2 (h4 (e13)) (h4 (e12)))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) ((e12) = (op1 (e13) (e13))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ### DisjTree 84 223 120 562
% 18.49/18.68 564. ((e12) = (op1 (e13) (e13))) ((op1 (e13) (e13)) != (e12)) ### Sym(=)
% 18.49/18.68 565. ((h4 (op1 (e13) (e13))) != (h4 (e12))) ((e12) = (op1 (e13) (e13))) ### NotEqual 564
% 18.49/18.68 566. ((h4 (e13)) = (e23)) ((e23) != (h4 (e13))) ### Sym(=)
% 18.49/18.68 567. ((h4 (e13)) = (e23)) ((e23) != (h4 (e13))) ### Sym(=)
% 18.49/18.68 568. ((op2 (e23) (e23)) != (op2 (h4 (e13)) (h4 (e13)))) ((h4 (e13)) = (e23)) ### NotEqual 566 567
% 18.49/18.68 569. ((h4 (op1 (e13) (e13))) != (op2 (h4 (e13)) (h4 (e13)))) ((h4 (e12)) = (op2 (e23) (e23))) ((h4 (e13)) = (e23)) ((e12) = (op1 (e13) (e13))) ### Trans 565 568
% 18.49/18.68 570. (-. (((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20)))))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ### ConjTree 5
% 18.49/18.68 571. (-. (((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21)))))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ### ConjTree 89
% 18.49/18.68 572. (-. (((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22)))))) ((e22) = (op2 (e23) (e23))) ((h4 (e12)) = (op2 (e23) (e23))) ### ConjTree 231
% 18.49/18.68 573. ((h4 (e13)) = (e23)) ((h4 (e13)) != (e23)) ### Axiom
% 18.49/18.68 574. (-. (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))) ((h4 (e13)) = (e23)) ### ConjTree 573
% 18.49/18.68 575. (-. (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23))))))))))))))))))))))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((h4 (e12)) = (op2 (e23) (e23))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) ((h4 (e13)) = (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) != (e22)) ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ### DisjTree 39 140 323 338 358 368 382 441 461 491 508 515 535 556 563 569 570 571 572 574
% 18.49/18.68 576. (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e22) = (op2 (e23) (e23))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((h4 (e13)) = (e23)) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((h4 (e12)) = (op2 (e23) (e23))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) ### ConjTree 575
% 18.49/18.68 577. (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) != (e22)) ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e21) = (op2 (op2 (e23) (e23)) (e23))) ((e20) = (op2 (e23) (op2 (e23) (e23)))) ((e12) = (op1 (e13) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e22) = (op2 (e23) (e23))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) ### ConjTree 576
% 18.49/18.68 578. (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) = (op1 (op1 (e13) (e13)) (e13))) ((e12) = (op1 (e13) (e13))) ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((e10) = (op1 (e13) (op1 (e13) (e13)))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((e10) != (e13)) ((e11) != (e13)) ((e20) != (e23)) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) ((e20) != (e21)) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) ### ConjTree 577
% 18.49/18.69 579. (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 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(e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23)))))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) != (e22)) ((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) ((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) (-. 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(op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 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(e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) ### ConjTree 578
% 18.49/18.69 580. 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(op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) ((e21) != (e22)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e20) != (e22)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13)))))) ((e21) != (e23)) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) ((e10) != (e11)) ((op2 (e20) (e22)) != (op2 (e22) (e22))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) 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(e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) 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(e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) ### ConjTree 579
% 18.49/18.69 581. 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(((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((e20) != (e21)) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) ((e20) != (e23)) ((e11) != (e13)) ((e10) != (e13)) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((e10) != (e11)) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((e21) != (e23)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((e10) != (e12)) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e20) != (e22)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((e11) != (e12)) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e21) != (e22)) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) /\ ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))))))))) ### ConjTree 580
% 18.49/18.69 582. (((e20) != (e21)) /\ (((e20) != (e22)) /\ (((e20) != (e23)) /\ (((e21) != (e22)) /\ (((e21) != (e23)) /\ ((e22) != (e23))))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) /\ ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) ((e11) != (e12)) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((e10) != (e12)) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = 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(e20)) != (op2 (e23) (e20))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 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(e21) (e23))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) ### ConjTree 581
% 18.53/18.69 583. (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) ((op2 (e23) (e20)) != (op2 (e23) (e22))) ((op2 (e20) (e23)) != (op2 (e21) (e23))) ((op2 (e21) (e23)) != (op2 (e23) (e23))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op2 (e23) (e22)) != (op2 (e23) (e23))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) ((op2 (e20) (e23)) != (op2 (e23) (e23))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) ((op1 (e11) (e13)) != (op1 (e12) (e13))) ((op1 (e10) (e13)) != (op1 (e12) (e13))) ((op1 (e11) (e11)) != (op1 (e12) (e11))) ((op1 (e12) (e11)) != (op1 (e13) (e11))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) ((op1 (e11) (e10)) != (op1 (e11) (e12))) ((op1 (e12) (e11)) != (op1 (e12) (e12))) ((op1 (e13) (e12)) != (op1 (e13) (e13))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) ((op2 (e21) (e22)) != (op2 (e23) (e22))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) ((op2 (e22) (e21)) != (op2 (e22) (e22))) ((op2 (e20) (e21)) != (op2 (e22) (e21))) ((op2 (e22) (e21)) != (op2 (e23) (e21))) ((op2 (e21) (e21)) != (op2 (e22) (e21))) ((op2 (e20) (e23)) != (op2 (e22) (e23))) ((op2 (e21) (e23)) != (op2 (e22) (e23))) ((op2 (e20) (e20)) != (op2 (e23) (e20))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) ((op2 (e23) (e20)) != (op2 (e23) (e23))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) ((op2 (e20) (e22)) != (op2 (e23) (e22))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) ((op2 (e20) (e22)) != (op2 (e22) (e22))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) ((op2 (e22) (e22)) != (op2 (e23) (e22))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((op2 (e22) (e22)) != (op2 (e22) (e23))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) /\ ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))))))))) (((e20) != (e21)) /\ (((e20) != (e22)) /\ (((e20) != (e23)) /\ (((e21) != (e22)) /\ (((e21) != (e23)) /\ ((e22) != (e23))))))) ### ConjTree 582
% 18.53/18.69 584. 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((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) ((op1 (e12) (e12)) != (op1 (e12) (e13))) ((op1 (e12) (e12)) != (op1 (e13) (e12))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) ((op1 (e10) (e12)) != (op1 (e12) (e12))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) ((op1 (e10) (e12)) != (op1 (e13) (e12))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ 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(e13))) ((op1 (e10) (e10)) != (op1 (e13) (e10))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) ((op1 (e11) (e12)) != (op1 (e13) (e12))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) ((op1 (e13) (e10)) != (op1 (e13) (e13))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) ((op1 (e10) (e13)) != (op1 (e11) (e13))) ((op1 (e11) (e13)) != (op1 (e13) (e13))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) ((op1 (e13) (e10)) != (op1 (e13) (e12))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) ### ConjTree 583
% 18.53/18.69 585. 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(e11) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e12) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e11))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e12)) != (op1 (e10) (e13))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e11))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e12)) != (op1 (e11) (e13))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e11))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e12)) != (op1 (e12) (e13))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e11))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e13))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e13))) /\ ((op1 (e13) (e12)) != (op1 (e13) (e13)))))))))))))))))))))))))))))))))))))))))))))))))) (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) (((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) (((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) (((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) (((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) (((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) (((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ 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(e20))) /\ (((op2 (e21) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e22) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e20) (e21)) != (op2 (e21) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e22) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e20) (e22)) != (op2 (e21) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e22) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e20) (e23)) != (op2 (e21) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e22) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e21))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e22)) != (op2 (e20) (e23))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e21))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e22)) != (op2 (e21) (e23))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e21))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e22)) != (op2 (e22) (e23))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e21))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e23))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e23))) /\ ((op2 (e23) (e22)) != (op2 (e23) (e23)))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 584
% 18.53/18.69 586. 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(((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 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(e13))) /\ (((op1 (e10) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e12) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e11))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e12)) != (op1 (e10) (e13))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e11))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e12)) != (op1 (e11) (e13))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e11))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e12)) != (op1 (e12) (e13))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e11))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e13))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e13))) /\ ((op1 (e13) (e12)) != (op1 (e13) (e13)))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 585
% 18.53/18.70 587. ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e20)) = (e21)) \/ (((op2 (e20) (e20)) = (e22)) \/ ((op2 (e20) (e20)) = (e23))))) /\ ((((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e21)) = (e21)) \/ (((op2 (e20) (e21)) = (e22)) \/ ((op2 (e20) (e21)) = (e23))))) /\ ((((op2 (e20) (e22)) = (e20)) \/ (((op2 (e20) (e22)) = (e21)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e22)) = (e23))))) /\ ((((op2 (e20) (e23)) = (e20)) \/ (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e20) (e23)) = (e22)) \/ ((op2 (e20) (e23)) = (e23))))) /\ ((((op2 (e21) (e20)) = (e20)) \/ (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e20)) = (e22)) \/ ((op2 (e21) (e20)) = (e23))))) /\ ((((op2 (e21) (e21)) = (e20)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e21)) = (e22)) \/ ((op2 (e21) (e21)) = (e23))))) /\ ((((op2 (e21) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e21)) \/ (((op2 (e21) (e22)) = (e22)) \/ ((op2 (e21) (e22)) = (e23))))) /\ ((((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) /\ ((((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e20)) = (e21)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e22) (e20)) = (e23))))) /\ ((((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) /\ ((((op2 (e22) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e21)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e22) (e22)) = (e23))))) /\ ((((op2 (e22) (e23)) = (e20)) \/ (((op2 (e22) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e22)) \/ ((op2 (e22) (e23)) = (e23))))) /\ ((((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) /\ ((((op2 (e23) (e21)) = (e20)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e21)) = (e22)) \/ ((op2 (e23) (e21)) = (e23))))) /\ ((((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) /\ (((op2 (e23) (e23)) = (e20)) \/ (((op2 (e23) (e23)) = (e21)) \/ (((op2 (e23) (e23)) = (e22)) \/ ((op2 (e23) (e23)) = (e23)))))))))))))))))))) (((op1 (e10) (e10)) != (op1 (e11) (e10))) /\ (((op1 (e10) (e10)) != (op1 (e12) (e10))) /\ (((op1 (e10) (e10)) != (op1 (e13) (e10))) /\ (((op1 (e11) (e10)) != (op1 (e12) (e10))) /\ (((op1 (e11) (e10)) != (op1 (e13) (e10))) /\ (((op1 (e12) (e10)) != (op1 (e13) (e10))) /\ (((op1 (e10) (e11)) != (op1 (e11) (e11))) /\ (((op1 (e10) (e11)) != (op1 (e12) (e11))) /\ (((op1 (e10) (e11)) != (op1 (e13) (e11))) /\ (((op1 (e11) (e11)) != (op1 (e12) (e11))) /\ (((op1 (e11) (e11)) != (op1 (e13) (e11))) /\ (((op1 (e12) (e11)) != (op1 (e13) (e11))) /\ (((op1 (e10) (e12)) != (op1 (e11) (e12))) /\ (((op1 (e10) (e12)) != (op1 (e12) (e12))) /\ (((op1 (e10) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e11) (e12)) != (op1 (e12) (e12))) /\ (((op1 (e11) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e12) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e10) (e13)) != (op1 (e11) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e12) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e11))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e12)) != (op1 (e10) (e13))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e11))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e12)) != (op1 (e11) (e13))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e11))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e12)) != (op1 (e12) (e13))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e11))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e13))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e13))) /\ ((op1 (e13) (e12)) != (op1 (e13) (e13)))))))))))))))))))))))))))))))))))))))))))))))))) (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) (((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) (((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) (((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) (((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) (((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) (((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) (((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) (((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) /\ ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))))))))) (((e20) != (e21)) /\ (((e20) != (e22)) /\ (((e20) != (e23)) /\ (((e21) != (e22)) /\ (((e21) != (e23)) /\ ((e22) != (e23))))))) (((op2 (e20) (e20)) != (op2 (e21) (e20))) /\ (((op2 (e20) (e20)) != (op2 (e22) (e20))) /\ (((op2 (e20) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e21) (e20)) != (op2 (e22) (e20))) /\ (((op2 (e21) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e22) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e20) (e21)) != (op2 (e21) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e22) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e20) (e22)) != (op2 (e21) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e22) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e20) (e23)) != (op2 (e21) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e22) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e21))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e22)) != (op2 (e20) (e23))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e21))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e22)) != (op2 (e21) (e23))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e21))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e22)) != (op2 (e22) (e23))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e21))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e23))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e23))) /\ ((op2 (e23) (e22)) != (op2 (e23) (e23)))))))))))))))))))))))))))))))))))))))))))))))))) ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) /\ ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e21) (e20)) = (e20)) \/ (((op2 (e22) (e20)) = (e20)) \/ ((op2 (e23) (e20)) = (e20))))) /\ ((((op2 (e20) (e20)) = (e21)) \/ (((op2 (e20) (e21)) = (e21)) \/ (((op2 (e20) (e22)) = (e21)) \/ ((op2 (e20) (e23)) = (e21))))) /\ ((((op2 (e20) (e20)) = (e21)) \/ (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e22) (e20)) = (e21)) \/ ((op2 (e23) (e20)) = (e21))))) /\ ((((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) /\ ((((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) /\ ((((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) /\ ((((op2 (e20) (e20)) = (e23)) \/ (((op2 (e21) (e20)) = (e23)) \/ (((op2 (e22) (e20)) = (e23)) \/ ((op2 (e23) (e20)) = (e23))))) /\ ((((op2 (e21) (e20)) = (e20)) \/ (((op2 (e21) (e21)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ ((op2 (e21) (e23)) = (e20))))) /\ ((((op2 (e20) (e21)) = (e20)) \/ (((op2 (e21) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ ((op2 (e23) (e21)) = (e20))))) /\ ((((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) /\ ((((op2 (e20) (e21)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e21)) \/ ((op2 (e23) (e21)) = (e21))))) /\ ((((op2 (e21) (e20)) = (e22)) \/ (((op2 (e21) (e21)) = (e22)) \/ (((op2 (e21) (e22)) = (e22)) \/ ((op2 (e21) (e23)) = (e22))))) /\ ((((op2 (e20) (e21)) = (e22)) \/ (((op2 (e21) (e21)) = (e22)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e23) (e21)) = (e22))))) /\ ((((op2 (e21) (e20)) = (e23)) \/ (((op2 (e21) (e21)) = (e23)) \/ (((op2 (e21) (e22)) = (e23)) \/ ((op2 (e21) (e23)) = (e23))))) /\ ((((op2 (e20) (e21)) = (e23)) \/ (((op2 (e21) (e21)) = (e23)) \/ (((op2 (e22) (e21)) = (e23)) \/ ((op2 (e23) (e21)) = (e23))))) /\ ((((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) /\ ((((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) /\ ((((op2 (e22) (e20)) = (e21)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e22)) = (e21)) \/ ((op2 (e22) (e23)) = (e21))))) /\ ((((op2 (e20) (e22)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ (((op2 (e22) (e22)) = (e21)) \/ ((op2 (e23) (e22)) = (e21))))) /\ ((((op2 (e22) (e20)) = (e22)) \/ (((op2 (e22) (e21)) = (e22)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e22) (e23)) = (e22))))) /\ ((((op2 (e20) (e22)) = (e22)) \/ (((op2 (e21) (e22)) = (e22)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e22))))) /\ ((((op2 (e22) (e20)) = (e23)) \/ (((op2 (e22) (e21)) = (e23)) \/ (((op2 (e22) (e22)) = (e23)) \/ ((op2 (e22) (e23)) = (e23))))) /\ ((((op2 (e20) (e22)) = (e23)) \/ (((op2 (e21) (e22)) = (e23)) \/ (((op2 (e22) (e22)) = (e23)) \/ ((op2 (e23) (e22)) = (e23))))) /\ ((((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e21)) = (e20)) \/ (((op2 (e23) (e22)) = (e20)) \/ ((op2 (e23) (e23)) = (e20))))) /\ ((((op2 (e20) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e22) (e23)) = (e20)) \/ ((op2 (e23) (e23)) = (e20))))) /\ ((((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) /\ ((((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) /\ ((((op2 (e23) (e20)) = (e22)) \/ (((op2 (e23) (e21)) = (e22)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e23)) = (e22))))) /\ ((((op2 (e20) (e23)) = (e22)) \/ (((op2 (e21) (e23)) = (e22)) \/ (((op2 (e22) (e23)) = (e22)) \/ ((op2 (e23) (e23)) = (e22))))) /\ ((((op2 (e23) (e20)) = (e23)) \/ (((op2 (e23) (e21)) = (e23)) \/ (((op2 (e23) (e22)) = (e23)) \/ ((op2 (e23) (e23)) = (e23))))) /\ (((op2 (e20) (e23)) = (e23)) \/ (((op2 (e21) (e23)) = (e23)) \/ (((op2 (e22) (e23)) = (e23)) \/ ((op2 (e23) (e23)) = (e23)))))))))))))))))))))))))))))))))))) ### ConjTree 586
% 18.53/18.70 588. 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(e10)) = (e13)) \/ ((op1 (e13) (e10)) = (e13))))) /\ ((((op1 (e11) (e10)) = (e10)) \/ (((op1 (e11) (e11)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ ((op1 (e11) (e13)) = (e10))))) /\ ((((op1 (e10) (e11)) = (e10)) \/ (((op1 (e11) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ ((op1 (e13) (e11)) = (e10))))) /\ ((((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) /\ ((((op1 (e10) (e11)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e11)) \/ ((op1 (e13) (e11)) = (e11))))) /\ ((((op1 (e11) (e10)) = (e12)) \/ (((op1 (e11) (e11)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ ((op1 (e11) (e13)) = (e12))))) /\ ((((op1 (e10) (e11)) = (e12)) \/ (((op1 (e11) (e11)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e13) (e11)) = (e12))))) /\ ((((op1 (e11) (e10)) = (e13)) \/ (((op1 (e11) (e11)) = (e13)) \/ (((op1 (e11) (e12)) = (e13)) \/ ((op1 (e11) (e13)) = (e13))))) /\ ((((op1 (e10) (e11)) = (e13)) \/ (((op1 (e11) (e11)) = (e13)) \/ (((op1 (e12) (e11)) = (e13)) \/ ((op1 (e13) (e11)) = (e13))))) /\ ((((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) /\ ((((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) /\ ((((op1 (e12) (e10)) = (e11)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e12)) = (e11)) \/ ((op1 (e12) (e13)) = (e11))))) /\ ((((op1 (e10) (e12)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ (((op1 (e12) (e12)) = (e11)) \/ ((op1 (e13) (e12)) = (e11))))) /\ ((((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) /\ ((((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) /\ ((((op1 (e12) (e10)) = (e13)) \/ (((op1 (e12) (e11)) = (e13)) \/ (((op1 (e12) (e12)) = (e13)) \/ ((op1 (e12) (e13)) = (e13))))) /\ ((((op1 (e10) (e12)) = (e13)) \/ (((op1 (e11) (e12)) = (e13)) \/ (((op1 (e12) (e12)) = (e13)) \/ ((op1 (e13) (e12)) = (e13))))) /\ ((((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e11)) = (e10)) \/ (((op1 (e13) (e12)) = (e10)) \/ ((op1 (e13) (e13)) = (e10))))) /\ ((((op1 (e10) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e12) (e13)) = (e10)) \/ ((op1 (e13) (e13)) = (e10))))) /\ ((((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) /\ ((((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) /\ ((((op1 (e13) (e10)) = (e12)) \/ (((op1 (e13) (e11)) = (e12)) \/ (((op1 (e13) (e12)) = (e12)) \/ ((op1 (e13) (e13)) = (e12))))) /\ ((((op1 (e10) (e13)) = (e12)) \/ (((op1 (e11) (e13)) = (e12)) \/ (((op1 (e12) (e13)) = (e12)) \/ ((op1 (e13) (e13)) = (e12))))) /\ ((((op1 (e13) (e10)) = (e13)) \/ (((op1 (e13) (e11)) = (e13)) \/ (((op1 (e13) (e12)) = (e13)) \/ ((op1 (e13) (e13)) = (e13))))) /\ (((op1 (e10) (e13)) = (e13)) \/ (((op1 (e11) (e13)) = (e13)) \/ (((op1 (e12) (e13)) = (e13)) \/ ((op1 (e13) (e13)) = (e13)))))))))))))))))))))))))))))))))))) ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e22)) = (e20)) \/ ((op2 (e20) (e23)) = (e20))))) /\ ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e21) (e20)) = (e20)) \/ (((op2 (e22) (e20)) = (e20)) \/ ((op2 (e23) (e20)) = (e20))))) /\ ((((op2 (e20) (e20)) = (e21)) \/ (((op2 (e20) (e21)) = (e21)) \/ (((op2 (e20) (e22)) = (e21)) \/ ((op2 (e20) (e23)) = (e21))))) /\ ((((op2 (e20) (e20)) = (e21)) \/ (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e22) (e20)) = (e21)) \/ ((op2 (e23) (e20)) = (e21))))) /\ ((((op2 (e20) (e20)) = (e22)) \/ (((op2 (e20) (e21)) = (e22)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e23)) = (e22))))) /\ ((((op2 (e20) (e20)) = (e22)) \/ (((op2 (e21) (e20)) = (e22)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e22))))) /\ ((((op2 (e20) (e20)) = (e23)) \/ (((op2 (e20) (e21)) = (e23)) \/ (((op2 (e20) (e22)) = (e23)) \/ ((op2 (e20) (e23)) = (e23))))) /\ ((((op2 (e20) (e20)) = (e23)) \/ (((op2 (e21) (e20)) = (e23)) \/ (((op2 (e22) (e20)) = (e23)) \/ ((op2 (e23) (e20)) = (e23))))) /\ ((((op2 (e21) (e20)) = (e20)) \/ (((op2 (e21) (e21)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ ((op2 (e21) (e23)) = (e20))))) /\ ((((op2 (e20) (e21)) = (e20)) \/ (((op2 (e21) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ ((op2 (e23) (e21)) = (e20))))) /\ ((((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) /\ ((((op2 (e20) (e21)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e21)) \/ ((op2 (e23) (e21)) = (e21))))) /\ ((((op2 (e21) (e20)) = (e22)) \/ (((op2 (e21) (e21)) = (e22)) \/ (((op2 (e21) (e22)) = (e22)) \/ ((op2 (e21) (e23)) = (e22))))) /\ ((((op2 (e20) (e21)) = (e22)) \/ (((op2 (e21) (e21)) = (e22)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e23) (e21)) = (e22))))) /\ ((((op2 (e21) (e20)) = (e23)) \/ (((op2 (e21) (e21)) = (e23)) \/ (((op2 (e21) (e22)) = (e23)) \/ ((op2 (e21) (e23)) = (e23))))) /\ ((((op2 (e20) (e21)) = (e23)) \/ (((op2 (e21) (e21)) = (e23)) \/ (((op2 (e22) (e21)) = (e23)) \/ ((op2 (e23) (e21)) = (e23))))) /\ ((((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) /\ ((((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) /\ ((((op2 (e22) (e20)) = (e21)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e22)) = (e21)) \/ ((op2 (e22) (e23)) = (e21))))) /\ ((((op2 (e20) (e22)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ (((op2 (e22) (e22)) = (e21)) \/ ((op2 (e23) (e22)) = (e21))))) /\ ((((op2 (e22) (e20)) = (e22)) \/ (((op2 (e22) (e21)) = (e22)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e22) (e23)) = (e22))))) /\ ((((op2 (e20) (e22)) = (e22)) \/ (((op2 (e21) (e22)) = (e22)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e22))))) /\ ((((op2 (e22) (e20)) = (e23)) \/ (((op2 (e22) (e21)) = (e23)) \/ (((op2 (e22) (e22)) = (e23)) \/ ((op2 (e22) (e23)) = (e23))))) /\ ((((op2 (e20) (e22)) = (e23)) \/ (((op2 (e21) (e22)) = (e23)) \/ (((op2 (e22) (e22)) = (e23)) \/ ((op2 (e23) (e22)) = (e23))))) /\ ((((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e21)) = (e20)) \/ (((op2 (e23) (e22)) = (e20)) \/ ((op2 (e23) (e23)) = (e20))))) /\ ((((op2 (e20) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e22) (e23)) = (e20)) \/ ((op2 (e23) (e23)) = (e20))))) /\ ((((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) /\ ((((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) /\ ((((op2 (e23) (e20)) = (e22)) \/ (((op2 (e23) (e21)) = (e22)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e23)) = (e22))))) /\ ((((op2 (e20) (e23)) = (e22)) \/ (((op2 (e21) (e23)) = (e22)) \/ (((op2 (e22) (e23)) = (e22)) \/ ((op2 (e23) (e23)) = (e22))))) /\ ((((op2 (e23) (e20)) = (e23)) \/ (((op2 (e23) (e21)) = (e23)) \/ (((op2 (e23) (e22)) = (e23)) \/ ((op2 (e23) (e23)) = (e23))))) /\ (((op2 (e20) (e23)) = (e23)) \/ (((op2 (e21) (e23)) = (e23)) \/ (((op2 (e22) (e23)) = (e23)) \/ ((op2 (e23) (e23)) = (e23)))))))))))))))))))))))))))))))))))) (((op2 (e20) (e20)) != (op2 (e21) (e20))) /\ (((op2 (e20) (e20)) != (op2 (e22) (e20))) /\ (((op2 (e20) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e21) (e20)) != (op2 (e22) (e20))) /\ (((op2 (e21) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e22) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e20) (e21)) != (op2 (e21) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e22) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e20) (e22)) != (op2 (e21) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e22) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e20) (e23)) != (op2 (e21) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e22) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e21))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e22)) != (op2 (e20) (e23))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e21))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e22)) != (op2 (e21) (e23))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e21))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e22)) != (op2 (e22) (e23))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e21))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e23))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e23))) /\ ((op2 (e23) (e22)) != (op2 (e23) (e23)))))))))))))))))))))))))))))))))))))))))))))))))) (((e20) != (e21)) /\ (((e20) != (e22)) /\ (((e20) != (e23)) /\ (((e21) != (e22)) /\ (((e21) != (e23)) /\ ((e22) != (e23))))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) /\ ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) (((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) (((op1 (e10) (e10)) != (op1 (e11) (e10))) /\ (((op1 (e10) (e10)) != (op1 (e12) (e10))) /\ (((op1 (e10) (e10)) != (op1 (e13) (e10))) /\ (((op1 (e11) (e10)) != (op1 (e12) (e10))) /\ (((op1 (e11) (e10)) != (op1 (e13) (e10))) /\ (((op1 (e12) (e10)) != (op1 (e13) (e10))) /\ (((op1 (e10) (e11)) != (op1 (e11) (e11))) /\ (((op1 (e10) (e11)) != (op1 (e12) (e11))) /\ (((op1 (e10) (e11)) != (op1 (e13) (e11))) /\ (((op1 (e11) (e11)) != (op1 (e12) (e11))) /\ (((op1 (e11) (e11)) != (op1 (e13) (e11))) /\ (((op1 (e12) (e11)) != (op1 (e13) (e11))) /\ (((op1 (e10) (e12)) != (op1 (e11) (e12))) /\ (((op1 (e10) (e12)) != (op1 (e12) (e12))) /\ (((op1 (e10) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e11) (e12)) != (op1 (e12) (e12))) /\ (((op1 (e11) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e12) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e10) (e13)) != (op1 (e11) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e12) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e11))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e12)) != (op1 (e10) (e13))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e11))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e12)) != (op1 (e11) (e13))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e11))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e12)) != (op1 (e12) (e13))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e11))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e13))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e13))) /\ ((op1 (e13) (e12)) != (op1 (e13) (e13)))))))))))))))))))))))))))))))))))))))))))))))))) ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e20)) = (e21)) \/ (((op2 (e20) (e20)) = (e22)) \/ ((op2 (e20) (e20)) = (e23))))) /\ ((((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e21)) = (e21)) \/ (((op2 (e20) (e21)) = (e22)) \/ ((op2 (e20) (e21)) = (e23))))) /\ ((((op2 (e20) (e22)) = (e20)) \/ (((op2 (e20) (e22)) = (e21)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e22)) = (e23))))) /\ ((((op2 (e20) (e23)) = (e20)) \/ (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e20) (e23)) = (e22)) \/ ((op2 (e20) (e23)) = (e23))))) /\ ((((op2 (e21) (e20)) = (e20)) \/ (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e20)) = (e22)) \/ ((op2 (e21) (e20)) = (e23))))) /\ ((((op2 (e21) (e21)) = (e20)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e21)) = (e22)) \/ ((op2 (e21) (e21)) = (e23))))) /\ ((((op2 (e21) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e21)) \/ (((op2 (e21) (e22)) = (e22)) \/ ((op2 (e21) (e22)) = (e23))))) /\ ((((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) /\ ((((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e20)) = (e21)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e22) (e20)) = (e23))))) /\ ((((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) /\ ((((op2 (e22) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e21)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e22) (e22)) = (e23))))) /\ ((((op2 (e22) (e23)) = (e20)) \/ (((op2 (e22) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e22)) \/ ((op2 (e22) (e23)) = (e23))))) /\ ((((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) /\ ((((op2 (e23) (e21)) = (e20)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e21)) = (e22)) \/ ((op2 (e23) (e21)) = (e23))))) /\ ((((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) (e22)) = (e21)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e23))))) /\ (((op2 (e23) (e23)) = (e20)) \/ (((op2 (e23) (e23)) = (e21)) \/ (((op2 (e23) (e23)) = (e22)) \/ ((op2 (e23) (e23)) = (e23)))))))))))))))))))) ### ConjTree 587
% 18.53/18.70 589. 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(e13)) = (e12)) \/ ((op1 (e11) (e13)) = (e13))))) /\ ((((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e10)) = (e11)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e12) (e10)) = (e13))))) /\ ((((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e12) (e11)) = (e13))))) /\ ((((op1 (e12) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e11)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e12)) = (e13))))) /\ ((((op1 (e12) (e13)) = (e10)) \/ (((op1 (e12) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e12)) \/ ((op1 (e12) (e13)) = (e13))))) /\ ((((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e13))))) /\ ((((op1 (e13) (e11)) = (e10)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e11)) = (e12)) \/ ((op1 (e13) (e11)) = (e13))))) /\ ((((op1 (e13) (e12)) = (e10)) \/ (((op1 (e13) (e12)) = (e11)) \/ (((op1 (e13) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e13))))) /\ (((op1 (e13) (e13)) = (e10)) \/ (((op1 (e13) (e13)) = (e11)) \/ (((op1 (e13) (e13)) = (e12)) \/ ((op1 (e13) (e13)) = (e13)))))))))))))))))))) ((((op2 (e20) (e20)) = (e20)) \/ (((op2 (e20) (e20)) = (e21)) \/ (((op2 (e20) (e20)) = (e22)) \/ ((op2 (e20) (e20)) = (e23))))) /\ ((((op2 (e20) (e21)) = (e20)) \/ (((op2 (e20) (e21)) = (e21)) \/ (((op2 (e20) (e21)) = (e22)) \/ ((op2 (e20) (e21)) = (e23))))) /\ ((((op2 (e20) (e22)) = (e20)) \/ (((op2 (e20) (e22)) = (e21)) \/ (((op2 (e20) (e22)) = (e22)) \/ ((op2 (e20) (e22)) = (e23))))) /\ ((((op2 (e20) (e23)) = (e20)) \/ (((op2 (e20) (e23)) = (e21)) \/ (((op2 (e20) (e23)) = (e22)) \/ ((op2 (e20) (e23)) = (e23))))) /\ ((((op2 (e21) (e20)) = (e20)) \/ (((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e20)) = (e22)) \/ ((op2 (e21) (e20)) = (e23))))) /\ ((((op2 (e21) (e21)) = (e20)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e21)) = (e22)) \/ ((op2 (e21) (e21)) = (e23))))) /\ ((((op2 (e21) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e21)) \/ (((op2 (e21) (e22)) = (e22)) \/ ((op2 (e21) (e22)) = (e23))))) /\ ((((op2 (e21) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e22)) \/ ((op2 (e21) (e23)) = (e23))))) /\ ((((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e20)) = (e21)) \/ (((op2 (e22) (e20)) = (e22)) \/ ((op2 (e22) (e20)) = (e23))))) /\ ((((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e22) (e21)) = (e23))))) /\ ((((op2 (e22) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e21)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e22) (e22)) = (e23))))) /\ ((((op2 (e22) (e23)) = (e20)) \/ (((op2 (e22) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e22)) \/ ((op2 (e22) (e23)) = (e23))))) /\ ((((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e20)) = (e22)) \/ ((op2 (e23) (e20)) = (e23))))) /\ ((((op2 (e23) (e21)) = (e20)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e21)) = (e22)) \/ ((op2 (e23) (e21)) = (e23))))) /\ ((((op2 (e23) (e22)) = (e20)) \/ (((op2 (e23) 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(e12) (e12)) != (op1 (e13) (e12))) /\ (((op1 (e10) (e13)) != (op1 (e11) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e10) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e12) (e13))) /\ (((op1 (e11) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e12) (e13)) != (op1 (e13) (e13))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e11))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e10)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e12))) /\ (((op1 (e10) (e11)) != (op1 (e10) (e13))) /\ (((op1 (e10) (e12)) != (op1 (e10) (e13))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e11))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e10)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e12))) /\ (((op1 (e11) (e11)) != (op1 (e11) (e13))) /\ (((op1 (e11) (e12)) != (op1 (e11) (e13))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e11))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e10)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e12))) /\ (((op1 (e12) (e11)) != (op1 (e12) (e13))) /\ (((op1 (e12) (e12)) != (op1 (e12) (e13))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e11))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e10)) != (op1 (e13) (e13))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e12))) /\ (((op1 (e13) (e11)) != (op1 (e13) (e13))) /\ ((op1 (e13) (e12)) != (op1 (e13) (e13)))))))))))))))))))))))))))))))))))))))))))))))))) (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) (((((op1 (e10) (e10)) = (e10)) /\ ((op1 (e10) (e10)) != (e10))) \/ ((((op1 (e11) (e11)) = (e10)) /\ ((op1 (e11) (e10)) != (e11))) \/ ((((op1 (e12) (e12)) = (e10)) /\ ((op1 (e12) (e10)) != (e12))) \/ (((op1 (e13) (e13)) = (e10)) /\ ((op1 (e13) (e10)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e11)) /\ ((op1 (e10) (e11)) != (e10))) \/ ((((op1 (e11) (e11)) = (e11)) /\ ((op1 (e11) (e11)) != (e11))) \/ ((((op1 (e12) (e12)) = (e11)) /\ ((op1 (e12) (e11)) != (e12))) \/ (((op1 (e13) (e13)) = (e11)) /\ ((op1 (e13) (e11)) != (e13)))))) /\ (((((op1 (e10) (e10)) = (e12)) /\ ((op1 (e10) (e12)) != (e10))) \/ ((((op1 (e11) (e11)) = (e12)) /\ ((op1 (e11) (e12)) != (e11))) \/ ((((op1 (e12) (e12)) = (e12)) /\ ((op1 (e12) (e12)) != (e12))) \/ (((op1 (e13) (e13)) = (e12)) /\ ((op1 (e13) (e12)) != (e13)))))) /\ ((((op1 (e10) (e10)) = (e13)) /\ ((op1 (e10) (e13)) != (e10))) \/ ((((op1 (e11) (e11)) = (e13)) /\ ((op1 (e11) (e13)) != (e11))) \/ ((((op1 (e12) (e12)) = (e13)) /\ ((op1 (e12) (e13)) != (e12))) \/ (((op1 (e13) (e13)) = (e13)) /\ ((op1 (e13) (e13)) != (e13))))))))) (((e10) = (op1 (e13) (op1 (e13) (e13)))) /\ (((e11) = (op1 (op1 (e13) (e13)) (e13))) /\ ((e12) = (op1 (e13) (e13))))) (((h4 (e13)) = (e23)) /\ (((h4 (e10)) = (op2 (e23) (op2 (e23) (e23)))) /\ (((h4 (e11)) = (op2 (op2 (e23) (e23)) (e23))) /\ ((h4 (e12)) = (op2 (e23) (e23)))))) (-. ((((h1 (op1 (e10) (e10))) = (op2 (h1 (e10)) (h1 (e10)))) /\ (((h1 (op1 (e10) (e11))) = (op2 (h1 (e10)) (h1 (e11)))) /\ (((h1 (op1 (e10) (e12))) = (op2 (h1 (e10)) (h1 (e12)))) /\ (((h1 (op1 (e10) (e13))) = (op2 (h1 (e10)) (h1 (e13)))) /\ (((h1 (op1 (e11) (e10))) = (op2 (h1 (e11)) (h1 (e10)))) /\ (((h1 (op1 (e11) (e11))) = (op2 (h1 (e11)) (h1 (e11)))) /\ (((h1 (op1 (e11) (e12))) = (op2 (h1 (e11)) (h1 (e12)))) /\ (((h1 (op1 (e11) (e13))) = (op2 (h1 (e11)) (h1 (e13)))) /\ (((h1 (op1 (e12) (e10))) = (op2 (h1 (e12)) (h1 (e10)))) /\ (((h1 (op1 (e12) (e11))) = (op2 (h1 (e12)) (h1 (e11)))) /\ (((h1 (op1 (e12) (e12))) = (op2 (h1 (e12)) (h1 (e12)))) /\ (((h1 (op1 (e12) (e13))) = (op2 (h1 (e12)) (h1 (e13)))) /\ (((h1 (op1 (e13) (e10))) = (op2 (h1 (e13)) (h1 (e10)))) /\ (((h1 (op1 (e13) (e11))) = (op2 (h1 (e13)) (h1 (e11)))) /\ (((h1 (op1 (e13) (e12))) = (op2 (h1 (e13)) (h1 (e12)))) /\ (((h1 (op1 (e13) (e13))) = (op2 (h1 (e13)) (h1 (e13)))) /\ ((((h1 (e10)) = (e20)) \/ (((h1 (e11)) = (e20)) \/ (((h1 (e12)) = (e20)) \/ ((h1 (e13)) = (e20))))) /\ ((((h1 (e10)) = (e21)) \/ (((h1 (e11)) = (e21)) \/ (((h1 (e12)) = (e21)) \/ ((h1 (e13)) = (e21))))) /\ ((((h1 (e10)) = (e22)) \/ (((h1 (e11)) = (e22)) \/ (((h1 (e12)) = (e22)) \/ ((h1 (e13)) = (e22))))) /\ (((h1 (e10)) = (e23)) \/ (((h1 (e11)) = (e23)) \/ (((h1 (e12)) = (e23)) \/ ((h1 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h2 (op1 (e10) (e10))) = (op2 (h2 (e10)) (h2 (e10)))) /\ (((h2 (op1 (e10) (e11))) = (op2 (h2 (e10)) (h2 (e11)))) /\ (((h2 (op1 (e10) (e12))) = (op2 (h2 (e10)) (h2 (e12)))) /\ (((h2 (op1 (e10) (e13))) = (op2 (h2 (e10)) (h2 (e13)))) /\ (((h2 (op1 (e11) (e10))) = (op2 (h2 (e11)) (h2 (e10)))) /\ (((h2 (op1 (e11) (e11))) = (op2 (h2 (e11)) (h2 (e11)))) /\ (((h2 (op1 (e11) (e12))) = (op2 (h2 (e11)) (h2 (e12)))) /\ (((h2 (op1 (e11) (e13))) = (op2 (h2 (e11)) (h2 (e13)))) /\ (((h2 (op1 (e12) (e10))) = (op2 (h2 (e12)) (h2 (e10)))) /\ (((h2 (op1 (e12) (e11))) = (op2 (h2 (e12)) (h2 (e11)))) /\ (((h2 (op1 (e12) (e12))) = (op2 (h2 (e12)) (h2 (e12)))) /\ (((h2 (op1 (e12) (e13))) = (op2 (h2 (e12)) (h2 (e13)))) /\ (((h2 (op1 (e13) (e10))) = (op2 (h2 (e13)) (h2 (e10)))) /\ (((h2 (op1 (e13) (e11))) = (op2 (h2 (e13)) (h2 (e11)))) /\ (((h2 (op1 (e13) (e12))) = (op2 (h2 (e13)) (h2 (e12)))) /\ (((h2 (op1 (e13) (e13))) = (op2 (h2 (e13)) (h2 (e13)))) /\ ((((h2 (e10)) = (e20)) \/ (((h2 (e11)) = (e20)) \/ (((h2 (e12)) = (e20)) \/ ((h2 (e13)) = (e20))))) /\ ((((h2 (e10)) = (e21)) \/ (((h2 (e11)) = (e21)) \/ (((h2 (e12)) = (e21)) \/ ((h2 (e13)) = (e21))))) /\ ((((h2 (e10)) = (e22)) \/ (((h2 (e11)) = (e22)) \/ (((h2 (e12)) = (e22)) \/ ((h2 (e13)) = (e22))))) /\ (((h2 (e10)) = (e23)) \/ (((h2 (e11)) = (e23)) \/ (((h2 (e12)) = (e23)) \/ ((h2 (e13)) = (e23)))))))))))))))))))))))) \/ ((((h3 (op1 (e10) (e10))) = (op2 (h3 (e10)) (h3 (e10)))) /\ (((h3 (op1 (e10) (e11))) = (op2 (h3 (e10)) (h3 (e11)))) /\ (((h3 (op1 (e10) (e12))) = (op2 (h3 (e10)) (h3 (e12)))) /\ (((h3 (op1 (e10) (e13))) = (op2 (h3 (e10)) (h3 (e13)))) /\ (((h3 (op1 (e11) (e10))) = (op2 (h3 (e11)) (h3 (e10)))) /\ (((h3 (op1 (e11) (e11))) = (op2 (h3 (e11)) (h3 (e11)))) /\ (((h3 (op1 (e11) (e12))) = (op2 (h3 (e11)) (h3 (e12)))) /\ (((h3 (op1 (e11) (e13))) = (op2 (h3 (e11)) (h3 (e13)))) /\ (((h3 (op1 (e12) (e10))) = (op2 (h3 (e12)) (h3 (e10)))) /\ (((h3 (op1 (e12) (e11))) = (op2 (h3 (e12)) (h3 (e11)))) /\ (((h3 (op1 (e12) (e12))) = (op2 (h3 (e12)) (h3 (e12)))) /\ (((h3 (op1 (e12) (e13))) = (op2 (h3 (e12)) (h3 (e13)))) /\ (((h3 (op1 (e13) (e10))) = (op2 (h3 (e13)) (h3 (e10)))) /\ (((h3 (op1 (e13) (e11))) = (op2 (h3 (e13)) (h3 (e11)))) /\ (((h3 (op1 (e13) (e12))) = (op2 (h3 (e13)) (h3 (e12)))) /\ (((h3 (op1 (e13) (e13))) = (op2 (h3 (e13)) (h3 (e13)))) /\ ((((h3 (e10)) = (e20)) \/ (((h3 (e11)) = (e20)) \/ (((h3 (e12)) = (e20)) \/ ((h3 (e13)) = (e20))))) /\ ((((h3 (e10)) = (e21)) \/ (((h3 (e11)) = (e21)) \/ (((h3 (e12)) = (e21)) \/ ((h3 (e13)) = (e21))))) /\ ((((h3 (e10)) = (e22)) \/ (((h3 (e11)) = (e22)) \/ (((h3 (e12)) = (e22)) \/ ((h3 (e13)) = (e22))))) /\ (((h3 (e10)) = (e23)) \/ (((h3 (e11)) = (e23)) \/ (((h3 (e12)) = (e23)) \/ ((h3 (e13)) = (e23)))))))))))))))))))))))) \/ (((h4 (op1 (e10) (e10))) = (op2 (h4 (e10)) (h4 (e10)))) /\ (((h4 (op1 (e10) (e11))) = (op2 (h4 (e10)) (h4 (e11)))) /\ (((h4 (op1 (e10) (e12))) = (op2 (h4 (e10)) (h4 (e12)))) /\ (((h4 (op1 (e10) (e13))) = (op2 (h4 (e10)) (h4 (e13)))) /\ (((h4 (op1 (e11) (e10))) = (op2 (h4 (e11)) (h4 (e10)))) /\ (((h4 (op1 (e11) (e11))) = (op2 (h4 (e11)) (h4 (e11)))) /\ (((h4 (op1 (e11) (e12))) = (op2 (h4 (e11)) (h4 (e12)))) /\ (((h4 (op1 (e11) (e13))) = (op2 (h4 (e11)) (h4 (e13)))) /\ (((h4 (op1 (e12) (e10))) = (op2 (h4 (e12)) (h4 (e10)))) /\ (((h4 (op1 (e12) (e11))) = (op2 (h4 (e12)) (h4 (e11)))) /\ (((h4 (op1 (e12) (e12))) = (op2 (h4 (e12)) (h4 (e12)))) /\ (((h4 (op1 (e12) (e13))) = (op2 (h4 (e12)) (h4 (e13)))) /\ (((h4 (op1 (e13) (e10))) = (op2 (h4 (e13)) (h4 (e10)))) /\ (((h4 (op1 (e13) (e11))) = (op2 (h4 (e13)) (h4 (e11)))) /\ (((h4 (op1 (e13) (e12))) = (op2 (h4 (e13)) (h4 (e12)))) /\ (((h4 (op1 (e13) (e13))) = (op2 (h4 (e13)) (h4 (e13)))) /\ ((((h4 (e10)) = (e20)) \/ (((h4 (e11)) = (e20)) \/ (((h4 (e12)) = (e20)) \/ ((h4 (e13)) = (e20))))) /\ ((((h4 (e10)) = (e21)) \/ (((h4 (e11)) = (e21)) \/ (((h4 (e12)) = (e21)) \/ ((h4 (e13)) = (e21))))) /\ ((((h4 (e10)) = (e22)) \/ (((h4 (e11)) = (e22)) \/ (((h4 (e12)) = (e22)) \/ ((h4 (e13)) = (e22))))) /\ (((h4 (e10)) = (e23)) \/ (((h4 (e11)) = (e23)) \/ (((h4 (e12)) = (e23)) \/ ((h4 (e13)) = (e23)))))))))))))))))))))))))))) (((e20) = (op2 (e23) (op2 (e23) (e23)))) /\ (((e21) = (op2 (op2 (e23) (e23)) (e23))) /\ ((e22) = (op2 (e23) (e23))))) (((((op2 (e20) (e20)) = (e20)) /\ ((op2 (e20) (e20)) != (e20))) \/ ((((op2 (e21) (e21)) = (e20)) /\ ((op2 (e21) (e20)) != (e21))) \/ ((((op2 (e22) (e22)) = (e20)) /\ ((op2 (e22) (e20)) != (e22))) \/ (((op2 (e23) (e23)) = (e20)) /\ ((op2 (e23) (e20)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e21)) /\ ((op2 (e20) (e21)) != (e20))) \/ ((((op2 (e21) (e21)) = (e21)) /\ ((op2 (e21) (e21)) != (e21))) \/ ((((op2 (e22) (e22)) = (e21)) /\ ((op2 (e22) (e21)) != (e22))) \/ (((op2 (e23) (e23)) = (e21)) /\ ((op2 (e23) (e21)) != (e23)))))) /\ (((((op2 (e20) (e20)) = (e22)) /\ ((op2 (e20) (e22)) != (e20))) \/ ((((op2 (e21) (e21)) = (e22)) /\ ((op2 (e21) (e22)) != (e21))) \/ ((((op2 (e22) (e22)) = (e22)) /\ ((op2 (e22) (e22)) != (e22))) \/ (((op2 (e23) (e23)) = (e22)) /\ ((op2 (e23) (e22)) != (e23)))))) /\ ((((op2 (e20) (e20)) = (e23)) /\ ((op2 (e20) (e23)) != (e20))) \/ ((((op2 (e21) (e21)) = (e23)) /\ ((op2 (e21) (e23)) != (e21))) \/ ((((op2 (e22) (e22)) = (e23)) /\ ((op2 (e22) (e23)) != (e22))) \/ (((op2 (e23) (e23)) = (e23)) /\ ((op2 (e23) (e23)) != (e23))))))))) (((e20) != (e21)) /\ (((e20) != (e22)) /\ (((e20) != (e23)) /\ (((e21) != (e22)) /\ (((e21) != (e23)) /\ ((e22) != (e23))))))) (((op2 (e20) (e20)) != (op2 (e21) (e20))) /\ (((op2 (e20) (e20)) != (op2 (e22) (e20))) /\ (((op2 (e20) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e21) (e20)) != (op2 (e22) (e20))) /\ (((op2 (e21) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e22) (e20)) != (op2 (e23) (e20))) /\ (((op2 (e20) (e21)) != (op2 (e21) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e20) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e22) (e21))) /\ (((op2 (e21) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e22) (e21)) != (op2 (e23) (e21))) /\ (((op2 (e20) (e22)) != (op2 (e21) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e20) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e22) (e22))) /\ (((op2 (e21) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e22) (e22)) != (op2 (e23) (e22))) /\ (((op2 (e20) (e23)) != (op2 (e21) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e20) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e22) (e23))) /\ (((op2 (e21) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e22) (e23)) != (op2 (e23) (e23))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e21))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e20)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e22))) /\ (((op2 (e20) (e21)) != (op2 (e20) (e23))) /\ (((op2 (e20) (e22)) != (op2 (e20) (e23))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e21))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e20)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e22))) /\ (((op2 (e21) (e21)) != (op2 (e21) (e23))) /\ (((op2 (e21) (e22)) != (op2 (e21) (e23))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e21))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e20)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e22))) /\ (((op2 (e22) (e21)) != (op2 (e22) (e23))) /\ (((op2 (e22) (e22)) != (op2 (e22) (e23))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e21))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e20)) != (op2 (e23) (e23))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e22))) /\ (((op2 (e23) (e21)) != (op2 (e23) (e23))) /\ ((op2 (e23) (e22)) != (op2 (e23) 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(e23)) \/ (((op2 (e21) (e20)) = (e23)) \/ (((op2 (e22) (e20)) = (e23)) \/ ((op2 (e23) (e20)) = (e23))))) /\ ((((op2 (e21) (e20)) = (e20)) \/ (((op2 (e21) (e21)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ ((op2 (e21) (e23)) = (e20))))) /\ ((((op2 (e20) (e21)) = (e20)) \/ (((op2 (e21) (e21)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ ((op2 (e23) (e21)) = (e20))))) /\ ((((op2 (e21) (e20)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ ((op2 (e21) (e23)) = (e21))))) /\ ((((op2 (e20) (e21)) = (e21)) \/ (((op2 (e21) (e21)) = (e21)) \/ (((op2 (e22) (e21)) = (e21)) \/ ((op2 (e23) (e21)) = (e21))))) /\ ((((op2 (e21) (e20)) = (e22)) \/ (((op2 (e21) (e21)) = (e22)) \/ (((op2 (e21) (e22)) = (e22)) \/ ((op2 (e21) (e23)) = (e22))))) /\ ((((op2 (e20) (e21)) = (e22)) \/ (((op2 (e21) (e21)) = (e22)) \/ (((op2 (e22) (e21)) = (e22)) \/ ((op2 (e23) (e21)) = (e22))))) /\ ((((op2 (e21) (e20)) = (e23)) \/ (((op2 (e21) (e21)) = (e23)) \/ (((op2 (e21) (e22)) = (e23)) \/ ((op2 (e21) (e23)) = (e23))))) /\ ((((op2 (e20) (e21)) = (e23)) \/ (((op2 (e21) (e21)) = (e23)) \/ (((op2 (e22) (e21)) = (e23)) \/ ((op2 (e23) (e21)) = (e23))))) /\ ((((op2 (e22) (e20)) = (e20)) \/ (((op2 (e22) (e21)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e22) (e23)) = (e20))))) /\ ((((op2 (e20) (e22)) = (e20)) \/ (((op2 (e21) (e22)) = (e20)) \/ (((op2 (e22) (e22)) = (e20)) \/ ((op2 (e23) (e22)) = (e20))))) /\ ((((op2 (e22) (e20)) = (e21)) \/ (((op2 (e22) (e21)) = (e21)) \/ (((op2 (e22) (e22)) = (e21)) \/ ((op2 (e22) (e23)) = (e21))))) /\ ((((op2 (e20) (e22)) = (e21)) \/ (((op2 (e21) (e22)) = (e21)) \/ (((op2 (e22) (e22)) = (e21)) \/ ((op2 (e23) (e22)) = (e21))))) /\ ((((op2 (e22) (e20)) = (e22)) \/ (((op2 (e22) (e21)) = (e22)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e22) (e23)) = (e22))))) /\ ((((op2 (e20) (e22)) = (e22)) \/ (((op2 (e21) (e22)) = (e22)) \/ (((op2 (e22) (e22)) = (e22)) \/ ((op2 (e23) (e22)) = (e22))))) /\ ((((op2 (e22) (e20)) = (e23)) \/ (((op2 (e22) (e21)) = (e23)) \/ (((op2 (e22) (e22)) = (e23)) \/ ((op2 (e22) (e23)) = (e23))))) /\ ((((op2 (e20) (e22)) = (e23)) \/ (((op2 (e21) (e22)) = (e23)) \/ (((op2 (e22) (e22)) = (e23)) \/ ((op2 (e23) (e22)) = (e23))))) /\ ((((op2 (e23) (e20)) = (e20)) \/ (((op2 (e23) (e21)) = (e20)) \/ (((op2 (e23) (e22)) = (e20)) \/ ((op2 (e23) (e23)) = (e20))))) /\ ((((op2 (e20) (e23)) = (e20)) \/ (((op2 (e21) (e23)) = (e20)) \/ (((op2 (e22) (e23)) = (e20)) \/ ((op2 (e23) (e23)) = (e20))))) /\ ((((op2 (e23) (e20)) = (e21)) \/ (((op2 (e23) (e21)) = (e21)) \/ (((op2 (e23) (e22)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) /\ ((((op2 (e20) (e23)) = (e21)) \/ (((op2 (e21) (e23)) = (e21)) \/ (((op2 (e22) (e23)) = (e21)) \/ ((op2 (e23) (e23)) = (e21))))) /\ ((((op2 (e23) (e20)) = (e22)) \/ (((op2 (e23) (e21)) = (e22)) \/ (((op2 (e23) (e22)) = (e22)) \/ ((op2 (e23) (e23)) = (e22))))) /\ ((((op2 (e20) (e23)) = (e22)) \/ (((op2 (e21) (e23)) = (e22)) \/ (((op2 (e22) (e23)) = (e22)) \/ ((op2 (e23) (e23)) = (e22))))) /\ ((((op2 (e23) (e20)) = (e23)) \/ (((op2 (e23) (e21)) = (e23)) \/ (((op2 (e23) (e22)) = (e23)) \/ ((op2 (e23) (e23)) = (e23))))) /\ (((op2 (e20) (e23)) = (e23)) \/ (((op2 (e21) (e23)) = (e23)) \/ (((op2 (e22) (e23)) = (e23)) \/ ((op2 (e23) (e23)) = (e23)))))))))))))))))))))))))))))))))))) ((((op1 (e10) (e10)) = (e10)) \/ (((op1 (e10) (e11)) = (e10)) \/ (((op1 (e10) (e12)) = (e10)) \/ ((op1 (e10) (e13)) = (e10))))) /\ ((((op1 (e10) (e10)) = (e10)) \/ (((op1 (e11) (e10)) = (e10)) \/ (((op1 (e12) (e10)) = (e10)) \/ ((op1 (e13) (e10)) = (e10))))) /\ ((((op1 (e10) (e10)) = (e11)) \/ (((op1 (e10) (e11)) = (e11)) \/ (((op1 (e10) (e12)) = (e11)) \/ ((op1 (e10) (e13)) = (e11))))) /\ ((((op1 (e10) (e10)) = (e11)) \/ (((op1 (e11) (e10)) = (e11)) \/ (((op1 (e12) (e10)) = (e11)) \/ ((op1 (e13) (e10)) = (e11))))) /\ ((((op1 (e10) (e10)) = (e12)) \/ (((op1 (e10) (e11)) = (e12)) \/ (((op1 (e10) (e12)) = (e12)) \/ ((op1 (e10) (e13)) = (e12))))) /\ ((((op1 (e10) (e10)) = (e12)) \/ (((op1 (e11) (e10)) = (e12)) \/ (((op1 (e12) (e10)) = (e12)) \/ ((op1 (e13) (e10)) = (e12))))) /\ ((((op1 (e10) (e10)) = (e13)) \/ (((op1 (e10) (e11)) = (e13)) \/ (((op1 (e10) (e12)) = (e13)) \/ ((op1 (e10) (e13)) = (e13))))) /\ ((((op1 (e10) (e10)) = (e13)) \/ (((op1 (e11) (e10)) = (e13)) \/ (((op1 (e12) (e10)) = (e13)) \/ ((op1 (e13) (e10)) = (e13))))) /\ ((((op1 (e11) (e10)) = (e10)) \/ (((op1 (e11) (e11)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ ((op1 (e11) (e13)) = (e10))))) /\ ((((op1 (e10) (e11)) = (e10)) \/ (((op1 (e11) (e11)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ ((op1 (e13) (e11)) = (e10))))) /\ ((((op1 (e11) (e10)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ ((op1 (e11) (e13)) = (e11))))) /\ ((((op1 (e10) (e11)) = (e11)) \/ (((op1 (e11) (e11)) = (e11)) \/ (((op1 (e12) (e11)) = (e11)) \/ ((op1 (e13) (e11)) = (e11))))) /\ ((((op1 (e11) (e10)) = (e12)) \/ (((op1 (e11) (e11)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ ((op1 (e11) (e13)) = (e12))))) /\ ((((op1 (e10) (e11)) = (e12)) \/ (((op1 (e11) (e11)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ ((op1 (e13) (e11)) = (e12))))) /\ ((((op1 (e11) (e10)) = (e13)) \/ (((op1 (e11) (e11)) = (e13)) \/ (((op1 (e11) (e12)) = (e13)) \/ ((op1 (e11) (e13)) = (e13))))) /\ ((((op1 (e10) (e11)) = (e13)) \/ (((op1 (e11) (e11)) = (e13)) \/ (((op1 (e12) (e11)) = (e13)) \/ ((op1 (e13) (e11)) = (e13))))) /\ ((((op1 (e12) (e10)) = (e10)) \/ (((op1 (e12) (e11)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e12) (e13)) = (e10))))) /\ ((((op1 (e10) (e12)) = (e10)) \/ (((op1 (e11) (e12)) = (e10)) \/ (((op1 (e12) (e12)) = (e10)) \/ ((op1 (e13) (e12)) = (e10))))) /\ ((((op1 (e12) (e10)) = (e11)) \/ (((op1 (e12) (e11)) = (e11)) \/ (((op1 (e12) (e12)) = (e11)) \/ ((op1 (e12) (e13)) = (e11))))) /\ ((((op1 (e10) (e12)) = (e11)) \/ (((op1 (e11) (e12)) = (e11)) \/ (((op1 (e12) (e12)) = (e11)) \/ ((op1 (e13) (e12)) = (e11))))) /\ ((((op1 (e12) (e10)) = (e12)) \/ (((op1 (e12) (e11)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e12) (e13)) = (e12))))) /\ ((((op1 (e10) (e12)) = (e12)) \/ (((op1 (e11) (e12)) = (e12)) \/ (((op1 (e12) (e12)) = (e12)) \/ ((op1 (e13) (e12)) = (e12))))) /\ ((((op1 (e12) (e10)) = (e13)) \/ (((op1 (e12) (e11)) = (e13)) \/ (((op1 (e12) (e12)) = (e13)) \/ ((op1 (e12) (e13)) = (e13))))) /\ ((((op1 (e10) (e12)) = (e13)) \/ (((op1 (e11) (e12)) = (e13)) \/ (((op1 (e12) (e12)) = (e13)) \/ ((op1 (e13) (e12)) = (e13))))) /\ ((((op1 (e13) (e10)) = (e10)) \/ (((op1 (e13) (e11)) = (e10)) \/ (((op1 (e13) (e12)) = (e10)) \/ ((op1 (e13) (e13)) = (e10))))) /\ ((((op1 (e10) (e13)) = (e10)) \/ (((op1 (e11) (e13)) = (e10)) \/ (((op1 (e12) (e13)) = (e10)) \/ ((op1 (e13) (e13)) = (e10))))) /\ ((((op1 (e13) (e10)) = (e11)) \/ (((op1 (e13) (e11)) = (e11)) \/ (((op1 (e13) (e12)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) /\ ((((op1 (e10) (e13)) = (e11)) \/ (((op1 (e11) (e13)) = (e11)) \/ (((op1 (e12) (e13)) = (e11)) \/ ((op1 (e13) (e13)) = (e11))))) /\ ((((op1 (e13) (e10)) = (e12)) \/ (((op1 (e13) (e11)) = (e12)) \/ (((op1 (e13) (e12)) = (e12)) \/ ((op1 (e13) (e13)) = (e12))))) /\ ((((op1 (e10) (e13)) = (e12)) \/ (((op1 (e11) (e13)) = (e12)) \/ (((op1 (e12) (e13)) = (e12)) \/ ((op1 (e13) (e13)) = (e12))))) /\ ((((op1 (e13) (e10)) = (e13)) \/ (((op1 (e13) (e11)) = (e13)) \/ (((op1 (e13) (e12)) = (e13)) \/ ((op1 (e13) (e13)) = (e13))))) /\ (((op1 (e10) (e13)) = (e13)) \/ (((op1 (e11) (e13)) = (e13)) \/ (((op1 (e12) (e13)) = (e13)) \/ ((op1 (e13) (e13)) = (e13)))))))))))))))))))))))))))))))))))) ### ConjTree 588
% 18.53/18.70 % SZS output end Proof
% 18.53/18.70 (* END-PROOF *)
%------------------------------------------------------------------------------