TSTP Solution File: ALG020+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG020+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 : n025.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 18:04:45 EDT 2022
% Result : Theorem 27.58s 27.78s
% Output : Proof 27.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ALG020+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n025.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 19:01:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 27.58/27.78 % SZS status Theorem
% 27.58/27.78 (* PROOF-FOUND *)
% 27.58/27.78 (* BEGIN-PROOF *)
% 27.58/27.78 % SZS output start Proof
% 27.58/27.78 1. ((h (e11)) = (e20)) ((h (e11)) != (e20)) ### Axiom
% 27.58/27.78 2. ((j (h (e11))) != (j (e20))) ((h (e11)) = (e20)) ### NotEqual 1
% 27.58/27.78 3. ((e10) != (e10)) ### NotEqual
% 27.58/27.78 4. ((e10) != (j (h (e11)))) ((j (e20)) = (e10)) ((h (e11)) = (e20)) ### Trans-sym 2 3
% 27.58/27.78 5. ((e11) != (e11)) ### NotEqual
% 27.58/27.78 6. ((e10) != (e11)) ((j (h (e11))) = (e11)) ((h (e11)) = (e20)) ((j (e20)) = (e10)) ### TransEq 4 5 5
% 27.58/27.78 7. ((op2 (e20) (e20)) = (e20)) ((e20) != (op2 (e20) (e20))) ### Sym(=)
% 27.58/27.78 8. ((j (e20)) != (j (op2 (e20) (e20)))) ((op2 (e20) (e20)) = (e20)) ### NotEqual 7
% 27.58/27.78 9. ((j (e20)) = (e11)) ((j (e20)) != (e11)) ### Axiom
% 27.58/27.78 10. ((j (e20)) = (e11)) ((j (e20)) != (e11)) ### Axiom
% 27.58/27.78 11. ((op1 (j (e20)) (j (e20))) != (op1 (e11) (e11))) ((j (e20)) = (e11)) ### NotEqual 9 10
% 27.58/27.78 12. ((op1 (e13) (e13)) = (e10)) ((e10) != (op1 (e13) (e13))) ### Sym(=)
% 27.58/27.78 13. ((op1 (j (e20)) (j (e20))) != (op1 (e13) (e13))) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e20)) = (e11)) ### Trans 11 12
% 27.58/27.78 14. ((op1 (e13) (e13)) != (j (e20))) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((j (e20)) = (e11)) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e20) (e20)) = (e20)) ### Trans-sym 8 13
% 27.58/27.78 15. ((e11) != (op1 (e13) (e13))) ((op2 (e20) (e20)) = (e20)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e20)) = (e11)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ### Trans-sym 14 5
% 27.58/27.78 16. ((e10) != (e11)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((j (e20)) = (e11)) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e20) (e20)) = (e20)) ### TransEq-sym 15 3 3
% 27.58/27.78 17. ((j (e20)) = (e12)) ((j (e20)) != (e12)) ### Axiom
% 27.58/27.78 18. ((j (e20)) = (e12)) ((j (e20)) != (e12)) ### Axiom
% 27.58/27.78 19. ((op1 (j (e20)) (j (e20))) != (op1 (e12) (e12))) ((j (e20)) = (e12)) ### NotEqual 17 18
% 27.58/27.78 20. ((op1 (e13) (e13)) = (e10)) ((e10) != (op1 (e13) (e13))) ### Sym(=)
% 27.58/27.78 21. ((op1 (j (e20)) (j (e20))) != (op1 (e13) (e13))) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e20)) = (e12)) ### Trans 19 20
% 27.58/27.78 22. ((op1 (e13) (e13)) != (j (e20))) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((j (e20)) = (e12)) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e20) (e20)) = (e20)) ### Trans-sym 8 21
% 27.58/27.78 23. ((e12) != (e12)) ### NotEqual
% 27.58/27.78 24. ((e12) != (op1 (e13) (e13))) ((op2 (e20) (e20)) = (e20)) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e20)) = (e12)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ### Trans-sym 22 23
% 27.58/27.78 25. ((e10) != (e12)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((j (e20)) = (e12)) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e20) (e20)) = (e20)) ### TransEq-sym 24 3 3
% 27.58/27.78 26. ((j (e20)) = (e13)) ((j (e20)) != (e13)) ### Axiom
% 27.58/27.78 27. ((j (e20)) = (e13)) ((j (e20)) != (e13)) ### Axiom
% 27.58/27.78 28. ((op1 (j (e20)) (j (e20))) != (op1 (e13) (e13))) ((j (e20)) = (e13)) ### NotEqual 26 27
% 27.58/27.78 29. ((op1 (e13) (e13)) != (j (e20))) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((j (e20)) = (e13)) ((op2 (e20) (e20)) = (e20)) ### Trans-sym 8 28
% 27.58/27.78 30. ((e13) != (e13)) ### NotEqual
% 27.58/27.78 31. ((e13) != (op1 (e13) (e13))) ((op2 (e20) (e20)) = (e20)) ((j (e20)) = (e13)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ### Trans-sym 29 30
% 27.58/27.78 32. ((e10) != (e13)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((j (e20)) = (e13)) ((op2 (e20) (e20)) = (e20)) ### TransEq-sym 31 3 3
% 27.58/27.78 33. (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ((e10) != (e13)) ((op1 (e12) (e12)) = (e10)) ((e10) != (e12)) ((op2 (e20) (e20)) = (e20)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((h (e11)) = (e20)) ((j (h (e11))) = (e11)) ((e10) != (e11)) ### DisjTree 6 16 25 32
% 27.58/27.78 34. ((h (e12)) = (e20)) ((h (e12)) != (e20)) ### Axiom
% 27.58/27.78 35. ((j (h (e12))) != (j (e20))) ((h (e12)) = (e20)) ### NotEqual 34
% 27.58/27.78 36. ((e10) != (j (h (e12)))) ((j (e20)) = (e10)) ((h (e12)) = (e20)) ### Trans-sym 35 3
% 27.58/27.78 37. ((e10) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e20)) ((j (e20)) = (e10)) ### TransEq 36 23 23
% 27.58/27.78 38. ((e11) != (j (h (e12)))) ((j (e20)) = (e11)) ((h (e12)) = (e20)) ### Trans-sym 35 5
% 27.58/27.78 39. ((e11) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e20)) ((j (e20)) = (e11)) ### TransEq 38 23 23
% 27.58/27.78 40. (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ((e10) != (e13)) ((op2 (e20) (e20)) = (e20)) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((e11) != (e12)) ((h (e12)) = (e20)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 37 39 25 32
% 27.58/27.78 41. ((h (e12)) = (e21)) ((h (e12)) != (e21)) ### Axiom
% 27.58/27.78 42. ((j (h (e12))) != (j (e21))) ((h (e12)) = (e21)) ### NotEqual 41
% 27.58/27.78 43. ((e10) != (j (h (e12)))) ((j (e21)) = (e10)) ((h (e12)) = (e21)) ### Trans-sym 42 3
% 27.58/27.78 44. ((e10) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e21)) ((j (e21)) = (e10)) ### TransEq 43 23 23
% 27.58/27.78 45. ((e11) != (j (h (e12)))) ((j (e21)) = (e11)) ((h (e12)) = (e21)) ### Trans-sym 42 5
% 27.58/27.78 46. ((e11) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e21)) ((j (e21)) = (e11)) ### TransEq 45 23 23
% 27.58/27.78 47. ((h (e11)) = (e21)) ((h (e11)) != (e21)) ### Axiom
% 27.58/27.78 48. ((j (h (e11))) != (j (e21))) ((h (e11)) = (e21)) ### NotEqual 47
% 27.58/27.78 49. ((e12) != (j (h (e11)))) ((j (e21)) = (e12)) ((h (e11)) = (e21)) ### Trans-sym 48 23
% 27.58/27.78 50. ((e11) != (e12)) ((j (h (e11))) = (e11)) ((h (e11)) = (e21)) ((j (e21)) = (e12)) ### TransEq-sym 49 5 5
% 27.58/27.78 51. ((e13) != (j (h (e11)))) ((j (e21)) = (e13)) ((h (e11)) = (e21)) ### Trans-sym 48 30
% 27.58/27.78 52. ((e11) != (e13)) ((j (h (e11))) = (e11)) ((h (e11)) = (e21)) ((j (e21)) = (e13)) ### TransEq-sym 51 5 5
% 27.58/27.78 53. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e11) != (e13)) ((h (e11)) = (e21)) ((j (h (e11))) = (e11)) ((e11) != (e12)) ((h (e12)) = (e21)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 44 46 50 52
% 27.58/27.78 54. ((h (e13)) = (e20)) ((h (e13)) != (e20)) ### Axiom
% 27.58/27.78 55. ((j (h (e13))) != (j (e20))) ((h (e13)) = (e20)) ### NotEqual 54
% 27.58/27.78 56. ((e10) != (j (h (e13)))) ((j (e20)) = (e10)) ((h (e13)) = (e20)) ### Trans-sym 55 3
% 27.58/27.78 57. ((e10) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e20)) ((j (e20)) = (e10)) ### TransEq 56 30 30
% 27.58/27.78 58. ((e11) != (j (h (e13)))) ((j (e20)) = (e11)) ((h (e13)) = (e20)) ### Trans-sym 55 5
% 27.58/27.78 59. ((e11) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e20)) ((j (e20)) = (e11)) ### TransEq 58 30 30
% 27.58/27.78 60. ((e12) != (j (h (e13)))) ((j (e20)) = (e12)) ((h (e13)) = (e20)) ### Trans-sym 55 23
% 27.58/27.78 61. ((e12) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e20)) ((j (e20)) = (e12)) ### TransEq 60 30 30
% 27.58/27.78 62. (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ((op2 (e20) (e20)) = (e20)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op1 (e13) (e13)) = (e10)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e20)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 57 59 61 32
% 27.58/27.78 63. ((h (e13)) = (e21)) ((h (e13)) != (e21)) ### Axiom
% 27.58/27.78 64. ((j (h (e13))) != (j (e21))) ((h (e13)) = (e21)) ### NotEqual 63
% 27.58/27.78 65. ((e10) != (j (h (e13)))) ((j (e21)) = (e10)) ((h (e13)) = (e21)) ### Trans-sym 64 3
% 27.58/27.78 66. ((e10) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e21)) ((j (e21)) = (e10)) ### TransEq 65 30 30
% 27.58/27.78 67. ((e11) != (j (h (e13)))) ((j (e21)) = (e11)) ((h (e13)) = (e21)) ### Trans-sym 64 5
% 27.58/27.78 68. ((e11) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e21)) ((j (e21)) = (e11)) ### TransEq 67 30 30
% 27.58/27.78 69. ((e12) != (j (h (e13)))) ((j (e21)) = (e12)) ((h (e13)) = (e21)) ### Trans-sym 64 23
% 27.58/27.78 70. ((e12) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e21)) ((j (e21)) = (e12)) ### TransEq 69 30 30
% 27.58/27.78 71. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((h (e11)) = (e21)) ((j (h (e11))) = (e11)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e21)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 66 68 70 52
% 27.58/27.78 72. ((h (e13)) = (e22)) ((h (e13)) != (e22)) ### Axiom
% 27.58/27.78 73. ((j (h (e13))) != (j (e22))) ((h (e13)) = (e22)) ### NotEqual 72
% 27.58/27.78 74. ((e10) != (j (h (e13)))) ((j (e22)) = (e10)) ((h (e13)) = (e22)) ### Trans-sym 73 3
% 27.58/27.78 75. ((e10) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e22)) ((j (e22)) = (e10)) ### TransEq 74 30 30
% 27.58/27.78 76. ((e11) != (j (h (e13)))) ((j (e22)) = (e11)) ((h (e13)) = (e22)) ### Trans-sym 73 5
% 27.58/27.78 77. ((e11) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e22)) ((j (e22)) = (e11)) ### TransEq 76 30 30
% 27.58/27.78 78. ((e12) != (j (h (e13)))) ((j (e22)) = (e12)) ((h (e13)) = (e22)) ### Trans-sym 73 23
% 27.58/27.78 79. ((e12) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e22)) ((j (e22)) = (e12)) ### TransEq 78 30 30
% 27.58/27.78 80. ((h (e12)) = (e22)) ((h (e12)) != (e22)) ### Axiom
% 27.58/27.78 81. ((j (h (e12))) != (j (e22))) ((h (e12)) = (e22)) ### NotEqual 80
% 27.58/27.78 82. ((e13) != (j (h (e12)))) ((j (e22)) = (e13)) ((h (e12)) = (e22)) ### Trans-sym 81 30
% 27.58/27.78 83. ((e12) != (e13)) ((j (h (e12))) = (e12)) ((h (e12)) = (e22)) ((j (e22)) = (e13)) ### TransEq-sym 82 23 23
% 27.58/27.78 84. (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((h (e12)) = (e22)) ((j (h (e12))) = (e12)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e22)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 75 77 79 83
% 27.58/27.78 85. ((e10) != (j (h (e11)))) ((j (e21)) = (e10)) ((h (e11)) = (e21)) ### Trans-sym 48 3
% 27.58/27.78 86. ((e10) != (e11)) ((j (h (e11))) = (e11)) ((h (e11)) = (e21)) ((j (e21)) = (e10)) ### TransEq 85 5 5
% 27.58/27.78 87. ((h (e13)) = (e23)) ((h (e13)) != (e23)) ### Axiom
% 27.58/27.78 88. ((j (h (e13))) != (j (e23))) ((h (e13)) = (e23)) ### NotEqual 87
% 27.58/27.78 89. ((e10) != (j (h (e13)))) ((j (e23)) = (e10)) ((h (e13)) = (e23)) ### Trans-sym 88 3
% 27.58/27.78 90. ((e10) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e23)) ((j (e23)) = (e10)) ### TransEq 89 30 30
% 27.58/27.78 91. ((e11) != (j (h (e13)))) ((j (e23)) = (e11)) ((h (e13)) = (e23)) ### Trans-sym 88 5
% 27.58/27.78 92. ((e11) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e23)) ((j (e23)) = (e11)) ### TransEq 91 30 30
% 27.58/27.78 93. ((op2 (e21) (e21)) = (e23)) ((e23) != (op2 (e21) (e21))) ### Sym(=)
% 27.58/27.78 94. ((j (e23)) != (j (op2 (e21) (e21)))) ((op2 (e21) (e21)) = (e23)) ### NotEqual 93
% 27.58/27.78 95. ((j (e21)) = (e11)) ((j (e21)) != (e11)) ### Axiom
% 27.58/27.78 96. ((j (e21)) = (e11)) ((j (e21)) != (e11)) ### Axiom
% 27.58/27.78 97. ((op1 (j (e21)) (j (e21))) != (op1 (e11) (e11))) ((j (e21)) = (e11)) ### NotEqual 95 96
% 27.58/27.78 98. ((op1 (e13) (e13)) = (e10)) ((e10) != (op1 (e13) (e13))) ### Sym(=)
% 27.58/27.78 99. ((op1 (j (e21)) (j (e21))) != (op1 (e13) (e13))) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e11)) ### Trans 97 98
% 27.58/27.78 100. ((op1 (e13) (e13)) != (j (e23))) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e11)) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e21) (e21)) = (e23)) ### Trans-sym 94 99
% 27.58/27.78 101. ((e12) != (op1 (e13) (e13))) ((j (e23)) = (e12)) ((op2 (e21) (e21)) = (e23)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e11)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ### Trans-sym 100 23
% 27.58/27.78 102. ((e10) != (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e11)) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e21) (e21)) = (e23)) ((j (e23)) = (e12)) ### TransEq-sym 101 3 3
% 27.58/27.78 103. ((e13) != (op1 (e13) (e13))) ((j (e23)) = (e13)) ((op2 (e21) (e21)) = (e23)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e11)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ### Trans-sym 100 30
% 27.58/27.78 104. ((e10) != (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e11)) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e21) (e21)) = (e23)) ((j (e23)) = (e13)) ### TransEq-sym 103 3 3
% 27.58/27.78 105. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((op2 (e21) (e21)) = (e23)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e11)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((e10) != (e12)) ((e11) != (e13)) ((h (e13)) = (e23)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 90 92 102 104
% 27.58/27.78 106. ((e12) != (j (h (e13)))) ((j (e23)) = (e12)) ((h (e13)) = (e23)) ### Trans-sym 88 23
% 27.58/27.78 107. ((e12) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e23)) ((j (e23)) = (e12)) ### TransEq 106 30 30
% 27.58/27.78 108. ((j (e21)) = (e12)) ((j (e21)) != (e12)) ### Axiom
% 27.58/27.78 109. ((j (e21)) = (e12)) ((j (e21)) != (e12)) ### Axiom
% 27.58/27.78 110. ((op1 (j (e21)) (j (e21))) != (op1 (e12) (e12))) ((j (e21)) = (e12)) ### NotEqual 108 109
% 27.58/27.78 111. ((op1 (e13) (e13)) = (e10)) ((e10) != (op1 (e13) (e13))) ### Sym(=)
% 27.58/27.78 112. ((op1 (j (e21)) (j (e21))) != (op1 (e13) (e13))) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e12)) ### Trans 110 111
% 27.58/27.78 113. ((op1 (e13) (e13)) != (j (e23))) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e12)) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e21) (e21)) = (e23)) ### Trans-sym 94 112
% 27.58/27.78 114. ((e13) != (op1 (e13) (e13))) ((j (e23)) = (e13)) ((op2 (e21) (e21)) = (e23)) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ### Trans-sym 113 30
% 27.58/27.78 115. ((e10) != (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e12)) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e21) (e21)) = (e23)) ((j (e23)) = (e13)) ### TransEq-sym 114 3 3
% 27.58/27.78 116. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((op2 (e21) (e21)) = (e23)) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e23)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 90 92 107 115
% 27.58/27.78 117. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e12) != (e13)) ((op1 (e12) (e12)) = (e10)) ((e10) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e23)) ((e11) != (e13)) ((e10) != (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e21) (e21)) = (e23)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((h (e11)) = (e21)) ((j (h (e11))) = (e11)) ((e10) != (e11)) ### DisjTree 86 105 116 52
% 27.58/27.78 118. (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) ((e10) != (e11)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((op2 (e21) (e21)) = (e23)) ((op1 (e11) (e11)) = (e10)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((e10) != (e12)) ((op1 (e12) (e12)) = (e10)) ((j (h (e12))) = (e12)) ((h (e12)) = (e22)) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((j (h (e11))) = (e11)) ((h (e11)) = (e21)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e13)) ((j (h (e13))) = (e13)) ((e11) != (e13)) ((e12) != (e13)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op2 (e20) (e20)) = (e20)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 62 71 84 117
% 27.58/27.78 119. ((h (e12)) = (e23)) ((h (e12)) != (e23)) ### Axiom
% 27.58/27.78 120. ((j (h (e12))) != (j (e23))) ((h (e12)) = (e23)) ### NotEqual 119
% 27.58/27.78 121. ((e10) != (j (h (e12)))) ((j (e23)) = (e10)) ((h (e12)) = (e23)) ### Trans-sym 120 3
% 27.58/27.78 122. ((e10) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e23)) ((j (e23)) = (e10)) ### TransEq 121 23 23
% 27.58/27.78 123. ((e11) != (j (h (e12)))) ((j (e23)) = (e11)) ((h (e12)) = (e23)) ### Trans-sym 120 5
% 27.58/27.78 124. ((e11) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e23)) ((j (e23)) = (e11)) ### TransEq 123 23 23
% 27.58/27.78 125. ((e13) != (j (h (e12)))) ((j (e23)) = (e13)) ((h (e12)) = (e23)) ### Trans-sym 120 30
% 27.58/27.78 126. ((e12) != (e13)) ((j (h (e12))) = (e12)) ((h (e12)) = (e23)) ((j (e23)) = (e13)) ### TransEq-sym 125 23 23
% 27.58/27.78 127. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e12) != (e13)) ((op2 (e21) (e21)) = (e23)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e11)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((e11) != (e12)) ((h (e12)) = (e23)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 122 124 102 126
% 27.58/27.78 128. ((j (e21)) = (e13)) ((j (e21)) != (e13)) ### Axiom
% 27.58/27.78 129. ((j (e21)) = (e13)) ((j (e21)) != (e13)) ### Axiom
% 27.58/27.78 130. ((op1 (j (e21)) (j (e21))) != (op1 (e13) (e13))) ((j (e21)) = (e13)) ### NotEqual 128 129
% 27.58/27.78 131. ((op1 (e13) (e13)) != (j (e23))) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e13)) ((op2 (e21) (e21)) = (e23)) ### Trans-sym 94 130
% 27.58/27.78 132. ((e11) != (op1 (e13) (e13))) ((j (e23)) = (e11)) ((op2 (e21) (e21)) = (e23)) ((j (e21)) = (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ### Trans-sym 131 5
% 27.58/27.78 133. ((e10) != (e11)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e13)) ((op2 (e21) (e21)) = (e23)) ((j (e23)) = (e11)) ### TransEq-sym 132 3 3
% 27.58/27.78 134. ((e12) != (op1 (e13) (e13))) ((j (e23)) = (e12)) ((op2 (e21) (e21)) = (e23)) ((j (e21)) = (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ### Trans-sym 131 23
% 27.58/27.78 135. ((e10) != (e12)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e13)) ((op2 (e21) (e21)) = (e23)) ((j (e23)) = (e12)) ### TransEq-sym 134 3 3
% 27.58/27.78 136. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e12) != (e13)) ((op2 (e21) (e21)) = (e23)) ((j (e21)) = (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e13) (e13)) = (e10)) ((e10) != (e11)) ((h (e12)) = (e23)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 122 133 135 126
% 27.58/27.78 137. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e23)) ((e11) != (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e21) (e21)) = (e23)) ((e12) != (e13)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((h (e11)) = (e21)) ((j (h (e11))) = (e11)) ((e10) != (e11)) ### DisjTree 86 127 50 136
% 27.58/27.78 138. (((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) ((e12) != (e13)) ((j (h (e13))) = (e13)) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e11) (e11)) = (e10)) ((op2 (e21) (e21)) = (e23)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e10) != (e11)) (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) ((j (h (e11))) = (e11)) ((h (e11)) = (e21)) ((e11) != (e13)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e12)) ((j (h (e12))) = (e12)) ((e11) != (e12)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e20) (e20)) = (e20)) ((e10) != (e13)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 40 53 118 137
% 27.58/27.78 139. ((e13) != (j (h (e12)))) ((j (e21)) = (e13)) ((h (e12)) = (e21)) ### Trans-sym 42 30
% 27.58/27.78 140. ((e12) != (e13)) ((j (h (e12))) = (e12)) ((h (e12)) = (e21)) ((j (e21)) = (e13)) ### TransEq-sym 139 23 23
% 27.58/27.78 141. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((h (e12)) = (e21)) ((j (h (e12))) = (e12)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e21)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 66 68 70 140
% 27.58/27.78 142. ((h (e11)) = (e22)) ((h (e11)) != (e22)) ### Axiom
% 27.58/27.78 143. ((j (h (e11))) != (j (e22))) ((h (e11)) = (e22)) ### NotEqual 142
% 27.58/27.78 144. ((e13) != (j (h (e11)))) ((j (e22)) = (e13)) ((h (e11)) = (e22)) ### Trans-sym 143 30
% 27.58/27.78 145. ((e11) != (e13)) ((j (h (e11))) = (e11)) ((h (e11)) = (e22)) ((j (e22)) = (e13)) ### TransEq-sym 144 5 5
% 27.58/27.78 146. (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((h (e11)) = (e22)) ((j (h (e11))) = (e11)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e22)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 75 77 79 145
% 27.58/27.78 147. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e13)) ((j (h (e13))) = (e13)) ((h (e13)) = (e23)) ((e11) != (e13)) ((e12) != (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e21) (e21)) = (e23)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e11) != (e12)) ((h (e12)) = (e21)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 44 46 116 140
% 27.58/27.78 148. (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) ((e10) != (e12)) ((e11) != (e12)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((op2 (e21) (e21)) = (e23)) ((op1 (e12) (e12)) = (e10)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (h (e11))) = (e11)) ((h (e11)) = (e22)) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((j (h (e12))) = (e12)) ((h (e12)) = (e21)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e13)) ((j (h (e13))) = (e13)) ((e11) != (e13)) ((e12) != (e13)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op2 (e20) (e20)) = (e20)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 62 141 146 147
% 27.58/27.78 149. ((e10) != (j (h (e12)))) ((j (e22)) = (e10)) ((h (e12)) = (e22)) ### Trans-sym 81 3
% 27.58/27.78 150. ((e10) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e22)) ((j (e22)) = (e10)) ### TransEq 149 23 23
% 27.58/27.78 151. ((e11) != (j (h (e12)))) ((j (e22)) = (e11)) ((h (e12)) = (e22)) ### Trans-sym 81 5
% 27.58/27.78 152. ((e11) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e22)) ((j (e22)) = (e11)) ### TransEq 151 23 23
% 27.58/27.78 153. ((e12) != (j (h (e11)))) ((j (e22)) = (e12)) ((h (e11)) = (e22)) ### Trans-sym 143 23
% 27.58/27.78 154. ((e11) != (e12)) ((j (h (e11))) = (e11)) ((h (e11)) = (e22)) ((j (e22)) = (e12)) ### TransEq-sym 153 5 5
% 27.58/27.78 155. (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((e12) != (e13)) ((h (e11)) = (e22)) ((j (h (e11))) = (e11)) ((e11) != (e12)) ((h (e12)) = (e22)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 150 152 154 83
% 27.58/27.78 156. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e12)) ((j (h (e12))) = (e12)) ((h (e12)) = (e23)) ((e10) != (e11)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op2 (e21) (e21)) = (e23)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e21)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 66 68 70 136
% 27.58/27.78 157. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((h (e12)) = (e23)) ((j (h (e12))) = (e12)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e23)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 90 92 107 126
% 27.58/27.78 158. (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) ((j (h (e11))) = (e11)) ((h (e11)) = (e22)) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((op2 (e21) (e21)) = (e23)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((e10) != (e11)) ((h (e12)) = (e23)) ((j (h (e12))) = (e12)) ((e10) != (e12)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e13)) ((j (h (e13))) = (e13)) ((e11) != (e13)) ((e12) != (e13)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op2 (e20) (e20)) = (e20)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 62 156 146 157
% 27.58/27.78 159. (((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) ((e10) != (e11)) ((e12) != (e13)) ((e11) != (e13)) ((j (h (e13))) = (e13)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((h (e11)) = (e22)) ((j (h (e11))) = (e11)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op2 (e21) (e21)) = (e23)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) ((e10) != (e12)) ((j (h (e12))) = (e12)) ((e11) != (e12)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e20) (e20)) = (e20)) ((e10) != (e13)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 40 148 155 158
% 27.58/27.78 160. ((h (e11)) = (e23)) ((h (e11)) != (e23)) ### Axiom
% 27.58/27.78 161. ((j (h (e11))) != (j (e23))) ((h (e11)) = (e23)) ### NotEqual 160
% 27.58/27.78 162. ((e10) != (j (h (e11)))) ((j (e23)) = (e10)) ((h (e11)) = (e23)) ### Trans-sym 161 3
% 27.58/27.78 163. ((e10) != (e11)) ((j (h (e11))) = (e11)) ((h (e11)) = (e23)) ((j (e23)) = (e10)) ### TransEq 162 5 5
% 27.58/27.78 164. ((e11) != (op1 (e13) (e13))) ((j (e23)) = (e11)) ((op2 (e21) (e21)) = (e23)) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ### Trans-sym 113 5
% 27.58/27.78 165. ((e10) != (e11)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((j (e21)) = (e12)) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e21) (e21)) = (e23)) ((j (e23)) = (e11)) ### TransEq-sym 164 3 3
% 27.58/27.78 166. ((e12) != (j (h (e11)))) ((j (e23)) = (e12)) ((h (e11)) = (e23)) ### Trans-sym 161 23
% 27.58/27.78 167. ((e11) != (e12)) ((j (h (e11))) = (e11)) ((h (e11)) = (e23)) ((j (e23)) = (e12)) ### TransEq-sym 166 5 5
% 27.58/27.78 168. ((e13) != (j (h (e11)))) ((j (e23)) = (e13)) ((h (e11)) = (e23)) ### Trans-sym 161 30
% 27.58/27.78 169. ((e11) != (e13)) ((j (h (e11))) = (e11)) ((h (e11)) = (e23)) ((j (e23)) = (e13)) ### TransEq-sym 168 5 5
% 27.58/27.78 170. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e11) != (e13)) ((e11) != (e12)) ((op2 (e21) (e21)) = (e23)) ((op1 (e12) (e12)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((j (e21)) = (e12)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((h (e11)) = (e23)) ((j (h (e11))) = (e11)) ((e10) != (e11)) ### DisjTree 163 165 167 169
% 27.58/27.78 171. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e11) != (e13)) ((e11) != (e12)) ((op2 (e21) (e21)) = (e23)) ((j (e21)) = (e13)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e13) (e13)) = (e10)) ((h (e11)) = (e23)) ((j (h (e11))) = (e11)) ((e10) != (e11)) ### DisjTree 163 133 167 169
% 27.58/27.78 172. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e11)) ((j (h (e11))) = (e11)) ((h (e11)) = (e23)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e21) (e21)) = (e23)) ((e11) != (e13)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e11) != (e12)) ((h (e12)) = (e21)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 44 46 170 171
% 27.58/27.78 173. (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e11)) ((j (h (e11))) = (e11)) ((h (e11)) = (e23)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((op2 (e21) (e21)) = (e23)) ((e11) != (e12)) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e21)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 66 68 70 171
% 27.58/27.78 174. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((h (e11)) = (e23)) ((j (h (e11))) = (e11)) ((e12) != (e13)) ((e11) != (e13)) ((h (e13)) = (e23)) ((j (h (e13))) = (e13)) ((e10) != (e13)) ### DisjTree 90 92 107 169
% 27.58/27.78 175. (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) ((j (h (e12))) = (e12)) ((h (e12)) = (e22)) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e11) != (e12)) ((op2 (e21) (e21)) = (e23)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((h (e11)) = (e23)) ((j (h (e11))) = (e11)) ((e10) != (e11)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e13)) ((j (h (e13))) = (e13)) ((e11) != (e13)) ((e12) != (e13)) ((op1 (e13) (e13)) = (e10)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op2 (e20) (e20)) = (e20)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 62 173 84 174
% 27.58/27.78 176. (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e12) != (e13)) ((h (e11)) = (e23)) ((j (h (e11))) = (e11)) ((e11) != (e12)) ((h (e12)) = (e23)) ((j (h (e12))) = (e12)) ((e10) != (e12)) ### DisjTree 122 124 167 126
% 27.58/27.78 177. (((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) ((e12) != (e13)) ((j (h (e13))) = (e13)) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((e11) != (e13)) ((op2 (e21) (e21)) = (e23)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) ((h (e11)) = (e23)) ((j (h (e11))) = (e11)) ((e10) != (e11)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e10) != (e12)) ((j (h (e12))) = (e12)) ((e11) != (e12)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e12) (e12)) = (e10)) ((op2 (e20) (e20)) = (e20)) ((e10) != (e13)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 40 172 175 176
% 27.58/27.78 178. (((h (e11)) = (e20)) \/ (((h (e11)) = (e21)) \/ (((h (e11)) = (e22)) \/ ((h (e11)) = (e23))))) ((e11) != (e12)) ((j (h (e12))) = (e12)) (((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) ((e11) != (e13)) (((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13))))) ((op2 (e21) (e21)) = (e23)) ((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) (((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) ((j (h (e13))) = (e13)) ((e12) != (e13)) (((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) ((e10) != (e11)) ((j (h (e11))) = (e11)) ((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((op2 (e20) (e20)) = (e20)) ((e10) != (e12)) ((op1 (e12) (e12)) = (e10)) ((e10) != (e13)) (((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) ### DisjTree 33 138 159 177
% 27.58/27.78 179. (-. (((((h (e10)) = (e20)) \/ (((h (e10)) = (e21)) \/ (((h (e10)) = (e22)) \/ ((h (e10)) = (e23))))) /\ ((((h (e11)) = (e20)) \/ (((h (e11)) = (e21)) \/ (((h (e11)) = (e22)) \/ ((h (e11)) = (e23))))) /\ ((((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) /\ ((((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) /\ ((((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) /\ ((((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) /\ ((((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) /\ (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13)))))))))))) => (-. (((h (op1 (e10) (e10))) = (op2 (h (e10)) (h (e10)))) /\ (((h (op1 (e10) (e11))) = (op2 (h (e10)) (h (e11)))) /\ (((h (op1 (e10) (e12))) = (op2 (h (e10)) (h (e12)))) /\ (((h (op1 (e10) (e13))) = (op2 (h (e10)) (h (e13)))) /\ (((h (op1 (e11) (e10))) = (op2 (h (e11)) (h (e10)))) /\ (((h (op1 (e11) (e11))) = (op2 (h (e11)) (h (e11)))) /\ (((h (op1 (e11) (e12))) = (op2 (h (e11)) (h (e12)))) /\ (((h (op1 (e11) (e13))) = (op2 (h (e11)) (h (e13)))) /\ (((h (op1 (e12) (e10))) = (op2 (h (e12)) (h (e10)))) /\ (((h (op1 (e12) (e11))) = (op2 (h (e12)) (h (e11)))) /\ (((h (op1 (e12) (e12))) = (op2 (h (e12)) (h (e12)))) /\ (((h (op1 (e12) (e13))) = (op2 (h (e12)) (h (e13)))) /\ (((h (op1 (e13) (e10))) = (op2 (h (e13)) (h (e10)))) /\ (((h (op1 (e13) (e11))) = (op2 (h (e13)) (h (e11)))) /\ (((h (op1 (e13) (e12))) = (op2 (h (e13)) (h (e12)))) /\ (((h (op1 (e13) (e13))) = (op2 (h (e13)) (h (e13)))) /\ (((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) /\ (((j (op2 (e20) (e21))) = (op1 (j (e20)) (j (e21)))) /\ (((j (op2 (e20) (e22))) = (op1 (j (e20)) (j (e22)))) /\ (((j (op2 (e20) (e23))) = (op1 (j (e20)) (j (e23)))) /\ (((j (op2 (e21) (e20))) = (op1 (j (e21)) (j (e20)))) /\ (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) /\ (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) /\ (((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) /\ (((j (op2 (e22) (e20))) = (op1 (j (e22)) (j (e20)))) /\ (((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) /\ (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) /\ (((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) /\ (((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) /\ (((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) /\ (((j (op2 (e23) (e22))) = (op1 (j (e23)) (j (e22)))) /\ (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) /\ (((h (j (e20))) = (e20)) /\ (((h (j (e21))) = (e21)) /\ (((h (j (e22))) = (e22)) /\ (((h (j (e23))) = (e23)) /\ (((j (h (e10))) = (e10)) /\ (((j (h (e11))) = (e11)) /\ (((j (h (e12))) = (e12)) /\ ((j (h (e13))) = (e13)))))))))))))))))))))))))))))))))))))))))))) ((e10) != (e13)) ((op1 (e12) (e12)) = (e10)) ((e10) != (e12)) ((op2 (e20) (e20)) = (e20)) ((op1 (e11) (e11)) = (e10)) ((op1 (e13) (e13)) = (e10)) ((e10) != (e11)) ((e12) != (e13)) ((op2 (e21) (e21)) = (e23)) ((e11) != (e13)) ((e11) != (e12)) ### ConjTree 178
% 27.58/27.78 180. (((op2 (e20) (e20)) = (e20)) /\ (((op2 (e20) (e21)) = (e21)) /\ (((op2 (e20) (e22)) = (e22)) /\ (((op2 (e20) (e23)) = (e23)) /\ (((op2 (e21) (e20)) = (e21)) /\ (((op2 (e21) (e21)) = (e23)) /\ (((op2 (e21) (e22)) = (e20)) /\ (((op2 (e21) (e23)) = (e22)) /\ (((op2 (e22) (e20)) = (e22)) /\ (((op2 (e22) (e21)) = (e20)) /\ (((op2 (e22) (e22)) = (e23)) /\ (((op2 (e22) (e23)) = (e21)) /\ (((op2 (e23) (e20)) = (e23)) /\ (((op2 (e23) (e21)) = (e22)) /\ (((op2 (e23) (e22)) = (e21)) /\ ((op2 (e23) (e23)) = (e20))))))))))))))))) ((e11) != (e12)) ((e11) != (e13)) ((e12) != (e13)) ((e10) != (e11)) ((op1 (e13) (e13)) = (e10)) ((op1 (e11) (e11)) = (e10)) ((e10) != (e12)) ((op1 (e12) (e12)) = (e10)) ((e10) != (e13)) (-. (((((h (e10)) = (e20)) \/ (((h (e10)) = (e21)) \/ (((h (e10)) = (e22)) \/ ((h (e10)) = (e23))))) /\ ((((h (e11)) = (e20)) \/ (((h (e11)) = (e21)) \/ (((h (e11)) = (e22)) \/ ((h (e11)) = (e23))))) /\ ((((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) /\ ((((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) /\ ((((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) /\ ((((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) /\ ((((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) /\ (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13)))))))))))) => (-. (((h (op1 (e10) (e10))) = (op2 (h (e10)) (h (e10)))) /\ (((h (op1 (e10) (e11))) = (op2 (h (e10)) (h (e11)))) /\ (((h (op1 (e10) (e12))) = (op2 (h (e10)) (h (e12)))) /\ (((h (op1 (e10) (e13))) = (op2 (h (e10)) (h (e13)))) /\ (((h (op1 (e11) (e10))) = (op2 (h (e11)) (h (e10)))) /\ (((h (op1 (e11) (e11))) = (op2 (h (e11)) (h (e11)))) /\ (((h (op1 (e11) (e12))) = (op2 (h (e11)) (h (e12)))) /\ (((h (op1 (e11) (e13))) = (op2 (h (e11)) (h (e13)))) /\ (((h (op1 (e12) (e10))) = (op2 (h (e12)) (h (e10)))) /\ (((h (op1 (e12) (e11))) = (op2 (h (e12)) (h (e11)))) /\ (((h (op1 (e12) (e12))) = (op2 (h (e12)) (h (e12)))) /\ (((h (op1 (e12) (e13))) = (op2 (h (e12)) (h (e13)))) /\ (((h (op1 (e13) (e10))) = (op2 (h (e13)) (h (e10)))) /\ (((h (op1 (e13) (e11))) = (op2 (h (e13)) (h (e11)))) /\ (((h (op1 (e13) (e12))) = (op2 (h (e13)) (h (e12)))) /\ (((h (op1 (e13) (e13))) = (op2 (h (e13)) (h (e13)))) /\ (((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) /\ (((j (op2 (e20) (e21))) = (op1 (j (e20)) (j (e21)))) /\ (((j (op2 (e20) (e22))) = (op1 (j (e20)) (j (e22)))) /\ (((j (op2 (e20) (e23))) = (op1 (j (e20)) (j (e23)))) /\ (((j (op2 (e21) (e20))) = (op1 (j (e21)) (j (e20)))) /\ (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) /\ (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) /\ (((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) /\ (((j (op2 (e22) (e20))) = (op1 (j (e22)) (j (e20)))) /\ (((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) /\ (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) /\ (((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) /\ (((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) /\ (((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) /\ (((j (op2 (e23) (e22))) = (op1 (j (e23)) (j (e22)))) /\ (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) /\ (((h (j (e20))) = (e20)) /\ (((h (j (e21))) = (e21)) /\ (((h (j (e22))) = (e22)) /\ (((h (j (e23))) = (e23)) /\ (((j (h (e10))) = (e10)) /\ (((j (h (e11))) = (e11)) /\ (((j (h (e12))) = (e12)) /\ ((j (h (e13))) = (e13)))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 179
% 27.58/27.78 181. (((op1 (e10) (e10)) = (e10)) /\ (((op1 (e10) (e11)) = (e11)) /\ (((op1 (e10) (e12)) = (e12)) /\ (((op1 (e10) (e13)) = (e13)) /\ (((op1 (e11) (e10)) = (e11)) /\ (((op1 (e11) (e11)) = (e10)) /\ (((op1 (e11) (e12)) = (e13)) /\ (((op1 (e11) (e13)) = (e12)) /\ (((op1 (e12) (e10)) = (e12)) /\ (((op1 (e12) (e11)) = (e13)) /\ (((op1 (e12) (e12)) = (e10)) /\ (((op1 (e12) (e13)) = (e11)) /\ (((op1 (e13) (e10)) = (e13)) /\ (((op1 (e13) (e11)) = (e12)) /\ (((op1 (e13) (e12)) = (e11)) /\ ((op1 (e13) (e13)) = (e10))))))))))))))))) (-. (((((h (e10)) = (e20)) \/ (((h (e10)) = (e21)) \/ (((h (e10)) = (e22)) \/ ((h (e10)) = (e23))))) /\ ((((h (e11)) = (e20)) \/ (((h (e11)) = (e21)) \/ (((h (e11)) = (e22)) \/ ((h (e11)) = (e23))))) /\ ((((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) /\ ((((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) /\ ((((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) /\ ((((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) /\ ((((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) /\ (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13)))))))))))) => (-. (((h (op1 (e10) (e10))) = (op2 (h (e10)) (h (e10)))) /\ (((h (op1 (e10) (e11))) = (op2 (h (e10)) (h (e11)))) /\ (((h (op1 (e10) (e12))) = (op2 (h (e10)) (h (e12)))) /\ (((h (op1 (e10) (e13))) = (op2 (h (e10)) (h (e13)))) /\ (((h (op1 (e11) (e10))) = (op2 (h (e11)) (h (e10)))) /\ (((h (op1 (e11) (e11))) = (op2 (h (e11)) (h (e11)))) /\ (((h (op1 (e11) (e12))) = (op2 (h (e11)) (h (e12)))) /\ (((h (op1 (e11) (e13))) = (op2 (h (e11)) (h (e13)))) /\ (((h (op1 (e12) (e10))) = (op2 (h (e12)) (h (e10)))) /\ (((h (op1 (e12) (e11))) = (op2 (h (e12)) (h (e11)))) /\ (((h (op1 (e12) (e12))) = (op2 (h (e12)) (h (e12)))) /\ (((h (op1 (e12) (e13))) = (op2 (h (e12)) (h (e13)))) /\ (((h (op1 (e13) (e10))) = (op2 (h (e13)) (h (e10)))) /\ (((h (op1 (e13) (e11))) = (op2 (h (e13)) (h (e11)))) /\ (((h (op1 (e13) (e12))) = (op2 (h (e13)) (h (e12)))) /\ (((h (op1 (e13) (e13))) = (op2 (h (e13)) (h (e13)))) /\ (((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) /\ (((j (op2 (e20) (e21))) = (op1 (j (e20)) (j (e21)))) /\ (((j (op2 (e20) (e22))) = (op1 (j (e20)) (j (e22)))) /\ (((j (op2 (e20) (e23))) = (op1 (j (e20)) (j (e23)))) /\ (((j (op2 (e21) (e20))) = (op1 (j (e21)) (j (e20)))) /\ (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) /\ (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) /\ (((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) /\ (((j (op2 (e22) (e20))) = (op1 (j (e22)) (j (e20)))) /\ (((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) /\ (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) /\ (((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) /\ (((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) /\ (((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) /\ (((j (op2 (e23) (e22))) = (op1 (j (e23)) (j (e22)))) /\ (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) /\ (((h (j (e20))) = (e20)) /\ (((h (j (e21))) = (e21)) /\ (((h (j (e22))) = (e22)) /\ (((h (j (e23))) = (e23)) /\ (((j (h (e10))) = (e10)) /\ (((j (h (e11))) = (e11)) /\ (((j (h (e12))) = (e12)) /\ ((j (h (e13))) = (e13)))))))))))))))))))))))))))))))))))))))))))) ((e10) != (e13)) ((e10) != (e12)) ((e10) != (e11)) ((e12) != (e13)) ((e11) != (e13)) ((e11) != (e12)) (((op2 (e20) (e20)) = (e20)) /\ (((op2 (e20) (e21)) = (e21)) /\ (((op2 (e20) (e22)) = (e22)) /\ (((op2 (e20) (e23)) = (e23)) /\ (((op2 (e21) (e20)) = (e21)) /\ (((op2 (e21) (e21)) = (e23)) /\ (((op2 (e21) (e22)) = (e20)) /\ (((op2 (e21) (e23)) = (e22)) /\ (((op2 (e22) (e20)) = (e22)) /\ (((op2 (e22) (e21)) = (e20)) /\ (((op2 (e22) (e22)) = (e23)) /\ (((op2 (e22) (e23)) = (e21)) /\ (((op2 (e23) (e20)) = (e23)) /\ (((op2 (e23) (e21)) = (e22)) /\ (((op2 (e23) (e22)) = (e21)) /\ ((op2 (e23) (e23)) = (e20))))))))))))))))) ### ConjTree 180
% 27.58/27.78 182. (((e10) != (e11)) /\ (((e10) != (e12)) /\ (((e10) != (e13)) /\ (((e11) != (e12)) /\ (((e11) != (e13)) /\ ((e12) != (e13))))))) (((op2 (e20) (e20)) = (e20)) /\ (((op2 (e20) (e21)) = (e21)) /\ (((op2 (e20) (e22)) = (e22)) /\ (((op2 (e20) (e23)) = (e23)) /\ (((op2 (e21) (e20)) = (e21)) /\ (((op2 (e21) (e21)) = (e23)) /\ (((op2 (e21) (e22)) = (e20)) /\ (((op2 (e21) (e23)) = (e22)) /\ (((op2 (e22) (e20)) = (e22)) /\ (((op2 (e22) (e21)) = (e20)) /\ (((op2 (e22) (e22)) = (e23)) /\ (((op2 (e22) (e23)) = (e21)) /\ (((op2 (e23) (e20)) = (e23)) /\ (((op2 (e23) (e21)) = (e22)) /\ (((op2 (e23) (e22)) = (e21)) /\ ((op2 (e23) (e23)) = (e20))))))))))))))))) (-. (((((h (e10)) = (e20)) \/ (((h (e10)) = (e21)) \/ (((h (e10)) = (e22)) \/ ((h (e10)) = (e23))))) /\ ((((h (e11)) = (e20)) \/ (((h (e11)) = (e21)) \/ (((h (e11)) = (e22)) \/ ((h (e11)) = (e23))))) /\ ((((h (e12)) = (e20)) \/ (((h (e12)) = (e21)) \/ (((h (e12)) = (e22)) \/ ((h (e12)) = (e23))))) /\ ((((h (e13)) = (e20)) \/ (((h (e13)) = (e21)) \/ (((h (e13)) = (e22)) \/ ((h (e13)) = (e23))))) /\ ((((j (e20)) = (e10)) \/ (((j (e20)) = (e11)) \/ (((j (e20)) = (e12)) \/ ((j (e20)) = (e13))))) /\ ((((j (e21)) = (e10)) \/ (((j (e21)) = (e11)) \/ (((j (e21)) = (e12)) \/ ((j (e21)) = (e13))))) /\ ((((j (e22)) = (e10)) \/ (((j (e22)) = (e11)) \/ (((j (e22)) = (e12)) \/ ((j (e22)) = (e13))))) /\ (((j (e23)) = (e10)) \/ (((j (e23)) = (e11)) \/ (((j (e23)) = (e12)) \/ ((j (e23)) = (e13)))))))))))) => (-. (((h (op1 (e10) (e10))) = (op2 (h (e10)) (h (e10)))) /\ (((h (op1 (e10) (e11))) = (op2 (h (e10)) (h (e11)))) /\ (((h (op1 (e10) (e12))) = (op2 (h (e10)) (h (e12)))) /\ (((h (op1 (e10) (e13))) = (op2 (h (e10)) (h (e13)))) /\ (((h (op1 (e11) (e10))) = (op2 (h (e11)) (h (e10)))) /\ (((h (op1 (e11) (e11))) = (op2 (h (e11)) (h (e11)))) /\ (((h (op1 (e11) (e12))) = (op2 (h (e11)) (h (e12)))) /\ (((h (op1 (e11) (e13))) = (op2 (h (e11)) (h (e13)))) /\ (((h (op1 (e12) (e10))) = (op2 (h (e12)) (h (e10)))) /\ (((h (op1 (e12) (e11))) = (op2 (h (e12)) (h (e11)))) /\ (((h (op1 (e12) (e12))) = (op2 (h (e12)) (h (e12)))) /\ (((h (op1 (e12) (e13))) = (op2 (h (e12)) (h (e13)))) /\ (((h (op1 (e13) (e10))) = (op2 (h (e13)) (h (e10)))) /\ (((h (op1 (e13) (e11))) = (op2 (h (e13)) (h (e11)))) /\ (((h (op1 (e13) (e12))) = (op2 (h (e13)) (h (e12)))) /\ (((h (op1 (e13) (e13))) = (op2 (h (e13)) (h (e13)))) /\ (((j (op2 (e20) (e20))) = (op1 (j (e20)) (j (e20)))) /\ (((j (op2 (e20) (e21))) = (op1 (j (e20)) (j (e21)))) /\ (((j (op2 (e20) (e22))) = (op1 (j (e20)) (j (e22)))) /\ (((j (op2 (e20) (e23))) = (op1 (j (e20)) (j (e23)))) /\ (((j (op2 (e21) (e20))) = (op1 (j (e21)) (j (e20)))) /\ (((j (op2 (e21) (e21))) = (op1 (j (e21)) (j (e21)))) /\ (((j (op2 (e21) (e22))) = (op1 (j (e21)) (j (e22)))) /\ (((j (op2 (e21) (e23))) = (op1 (j (e21)) (j (e23)))) /\ (((j (op2 (e22) (e20))) = (op1 (j (e22)) (j (e20)))) /\ (((j (op2 (e22) (e21))) = (op1 (j (e22)) (j (e21)))) /\ (((j (op2 (e22) (e22))) = (op1 (j (e22)) (j (e22)))) /\ (((j (op2 (e22) (e23))) = (op1 (j (e22)) (j (e23)))) /\ (((j (op2 (e23) (e20))) = (op1 (j (e23)) (j (e20)))) /\ (((j (op2 (e23) (e21))) = (op1 (j (e23)) (j (e21)))) /\ (((j (op2 (e23) (e22))) = (op1 (j (e23)) (j (e22)))) /\ (((j (op2 (e23) (e23))) = (op1 (j (e23)) (j (e23)))) /\ (((h (j (e20))) = (e20)) /\ (((h (j (e21))) = (e21)) /\ (((h (j (e22))) = (e22)) /\ (((h (j (e23))) = (e23)) /\ (((j (h (e10))) = (e10)) /\ (((j (h (e11))) = (e11)) /\ (((j (h (e12))) = (e12)) /\ ((j (h (e13))) = (e13)))))))))))))))))))))))))))))))))))))))))))) (((op1 (e10) (e10)) = (e10)) /\ (((op1 (e10) (e11)) = (e11)) /\ (((op1 (e10) (e12)) = (e12)) /\ (((op1 (e10) (e13)) = (e13)) /\ (((op1 (e11) (e10)) = (e11)) /\ (((op1 (e11) (e11)) = (e10)) /\ (((op1 (e11) (e12)) = (e13)) /\ (((op1 (e11) (e13)) = (e12)) /\ (((op1 (e12) (e10)) = (e12)) /\ (((op1 (e12) (e11)) = (e13)) /\ (((op1 (e12) (e12)) = (e10)) /\ (((op1 (e12) (e13)) = (e11)) /\ (((op1 (e13) (e10)) = (e13)) /\ (((op1 (e13) (e11)) = (e12)) /\ (((op1 (e13) (e12)) = (e11)) /\ ((op1 (e13) (e13)) = (e10))))))))))))))))) ### ConjTree 181
% 27.58/27.78 % SZS output end Proof
% 27.58/27.78 (* END-PROOF *)
%------------------------------------------------------------------------------